![Logarithmic scale](https://upload.wikimedia.org/wikipedia/commons/b/b8/Logarithmic_scale.svg)
This list contains selected positive
number
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers c ...
s in increasing order, including counts of things,
dimensionless quantities
A dimensionless quantity (also known as a bare quantity, pure quantity, or scalar quantity as well as quantity of dimension one) is a quantity to which no physical dimension is assigned, with a corresponding SI unit of measurement of one (or 1) ...
and
probabilities. Each number is given a name in the
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
, which is used in English-speaking countries, as well as a name in the
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
, which is used in some of the countries that do not have English as their national language.
Smaller than (one googolth)
![Chimpanzee seated at typewriter](https://upload.wikimedia.org/wikipedia/commons/3/3c/Chimpanzee_seated_at_typewriter.jpg)
* ''Mathematics – random selections:'' Approximately is a rough first estimate of the probability that a typing "
monkey
Monkey is a common name that may refer to most mammals of the infraorder Simiiformes, also known as the simians. Traditionally, all animals in the group now known as simians are counted as monkeys except the apes, which constitutes an incomple ...
", or an English-illiterate typing robot, when
placed in front of a typewriter, will type out William Shakespeare's play ''
Hamlet
''The Tragedy of Hamlet, Prince of Denmark'', often shortened to ''Hamlet'' (), is a tragedy written by William Shakespeare sometime between 1599 and 1601. It is Shakespeare's longest play, with 29,551 words. Set in Denmark, the play depicts ...
'' as its first set of inputs, on the precondition it typed the needed number of characters. However, demanding correct
punctuation
Punctuation (or sometimes interpunction) is the use of spacing, conventional signs (called punctuation marks), and certain typographical devices as aids to the understanding and correct reading of written text, whether read silently or aloud. An ...
,
capitalization
Capitalization (American English) or capitalisation (British English) is writing a word with its first letter as a capital letter (uppercase letter) and the remaining letters in lower case, in writing systems with a case distinction. The term a ...
, and spacing, the probability falls to around 10
−360,783.
* ''Computing:'' 2.2 is approximately equal to the smallest positive non-zero value that can be represented by an
octuple-precision IEEE floating-point value.
**1 is equal to the smallest positive non-zero value that can be represented by a
quadruple-precision IEEE decimal floating-point value.
**6.5 is approximately equal to the smallest positive non-zero value that can be represented by a
quadruple-precision IEEE floating-point value.
**3.6 is approximately equal to the smallest positive non-zero value that can be represented by an
80-bit x86 double-extended IEEE floating-point value.
**1 is equal to the smallest positive non-zero value that can be represented by a
double-precision IEEE decimal floating-point value.
**4.9 is approximately equal to the smallest positive non-zero value that can be represented by a
double-precision
Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
Flo ...
IEEE floating-point
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in ...
value.
**1.5 is approximately equal to the probability that in a randomly selected group of 365 people, all of them will
have different birthdays.
**1 is equal to the smallest positive non-zero value that can be represented by a
single-precision IEEE decimal floating-point value.
10−100 to 10−30
![Card shuffle](https://upload.wikimedia.org/wikipedia/commons/2/28/Card_shuffle.jpg)
* ''Mathematics:'' The chances of
shuffling
Shuffling is a procedure used to randomize a deck of playing cards to provide an element of chance in card games. Shuffling is often followed by a cut, to help ensure that the shuffler has not manipulated the outcome.
__TOC__
Techniques
Overha ...
a
standard 52-card deck
The standard 52-card deck of French-suited playing cards is the most common pack of playing cards used today. In English-speaking countries it is the only traditional pack used for playing cards; in many countries of the world, however, it is used ...
in any specific order is around 1.24 (or exactly )
* ''Computing:'' The number 1.4 is approximately equal to the smallest positive non-zero value that can be represented by a
single-precision
Single-precision floating-point format (sometimes called FP32 or float32) is a computer number format, usually occupying 32 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
A floatin ...
IEEE floating-point value.
10−30
(; 1000
−10;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one nonillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one quintillionth)
ISO:
quecto-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(q)
* ''Mathematics:'' The probability in a game of
bridge
A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or rail) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually somethi ...
of all four players getting a complete
suit
A suit, lounge suit, or business suit is a set of clothes comprising a suit jacket and trousers of identical textiles worn with a collared dress shirt, necktie, and dress shoes. A skirt suit is similar, but with a matching skirt instead of tr ...
each is approximately .
10−27
(; 1000
−9;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one octillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one quadrilliardth)
ISO:
ronto-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(r)
10−24
(; 1000
−8;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one septillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one quadrillionth)
ISO:
yocto-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(y)
10−21
(; 1000
−7;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one sextillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one trilliardth)
ISO:
zepto-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(z)
* ''Mathematics:'' The probability of matching 20 numbers for 20 in a game of
keno
Keno is a lottery-like gambling game often played at modern casinos, and also offered as a game in some lotteries.
Players wager by choosing numbers ranging from 1 through (usually) 80. After all players make their wagers, 20 numbers (some va ...
is approximately 2.83 × 10
−19.
10−18
![Snake eyes dice](https://upload.wikimedia.org/wikipedia/commons/4/4a/Snake_eyes_dice.jpg)
(; 1000
−6;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one quintillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one trillionth)
ISO:
atto-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(a)
* ''Mathematics:'' The probability of rolling
snake eyes 10 times in a row on a pair of fair dice is about .
10−15
(; 1000
−5;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one quadrillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one billiardth)
ISO:
femto-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(f)
* ''Mathematics'': The
Ramanujan constant In number theory, a Heegner number (as termed by Conway and Guy) is a square-free positive integer ''d'' such that the imaginary quadratic field \Q\left sqrt\right/math> has class number 1. Equivalently, its ring of integers has unique factoriz ...
,
is an
almost integer
In recreational mathematics, an almost integer (or near-integer) is any number that is not an integer but is very close to one. Almost integers are considered interesting when they arise in some context in which they are unexpected.
Almost inte ...
, differing from the nearest integer by approximately .
10−12
(; 1000
−4;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one trillionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one billionth)
ISO:
pico-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(p)
* ''Mathematics:'' The probability in a game of
bridge
A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or rail) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually somethi ...
of one player getting a complete suit is approximately ().
* ''Biology:'' Human
visual sensitivity to
1000 nm light is approximately of its
peak sensitivity at
555 nm.
10−9
(; 1000
−3;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one billionth;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one milliardth)
ISO:
nano-
Nano (symbol n) is a unit prefix meaning "one billionth". Used primarily with the metric system, this prefix denotes a factor of 10−9 or . It is frequently encountered in science and electronics for prefixing Unit of measurement, units of tim ...
(n)
* ''Mathematics – Lottery:'' The odds of winning the Grand Prize (matching all 6 numbers) in the US
Powerball
Powerball is an American lottery game offered by 45 states, the District of Columbia, Puerto Rico and the U.S. Virgin Islands. It is coordinated by the Multi-State Lottery Association (MUSL). From its inaugural drawing on April 19, 1992, unti ...
lottery, with a single ticket, under the rules , are 292,201,338 to 1 against, for a probability of ().
* ''Mathematics – Lottery:'' The odds of winning the Grand Prize (matching all 6 numbers) in the Australian
Powerball
Powerball is an American lottery game offered by 45 states, the District of Columbia, Puerto Rico and the U.S. Virgin Islands. It is coordinated by the Multi-State Lottery Association (MUSL). From its inaugural drawing on April 19, 1992, unti ...
lottery, with a single ticket, under the rules , are 134,490,400 to 1 against, for a probability of ().
* ''Mathematics – Lottery:'' The odds of winning the Jackpot (matching the 6 main numbers) in the UK
National Lottery, with a single ticket, under the rules , are 13,983,815 to 1 against, for a probability of ().
10−6
(; 1000
−2;
long and short scales
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one millionth)
ISO:
micro-
''Micro'' (Greek letter μ ( U+03BC) or the legacy symbol µ (U+00B5)) is a unit prefix in the metric system denoting a factor of 10−6 (one millionth). Confirmed in 1960, the prefix comes from the Greek ('), meaning "small".
The symbol for th ...
(μ)
![Poker Hands](https://upload.wikimedia.org/wikipedia/commons/3/35/Poker_Hands.png)
* ''Mathematics –
Poker
Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
:'' The odds of being dealt a
royal flush in poker are 649,739 to 1 against, for a probability of 1.5 ().
* ''Mathematics – Poker:'' The odds of being dealt a
straight flush
In poker, players form sets of five playing cards, called ''hands'', according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. In high ...
(other than a royal flush) in poker are 72,192 to 1 against, for a probability of 1.4 (0.0014%).
* ''Mathematics – Poker:'' The odds of being dealt a
four of a kind in poker are 4,164 to 1 against, for a probability of 2.4 (0.024%).
10−3
(0.001; 1000
−1; one thousandth)
ISO:
milli-
''Milli'' (symbol m) is a unit prefix in the metric system denoting a factor of one thousandth (10−3). Proposed in 1793, and adopted in 1795, the prefix comes from the Latin , meaning ''one thousand'' (the Latin plural is ). Since 1960, the pre ...
(m)
* ''Mathematics – Poker:'' The odds of being dealt a
full house
''Full House'' is an American television sitcom created by Jeff Franklin for ABC. The show is about widowed father Danny Tanner who enlists his brother-in-law Jesse Katsopolis and childhood best friend Joey Gladstone to help raise his three dau ...
in poker are 693 to 1 against, for a probability of 1.4 × 10
−3 (0.14%).
* ''Mathematics – Poker:'' The odds of being dealt a
flush
Flush may refer to:
Places
* Flush, Kansas, a community in the United States
Architecture, construction and manufacturing
* Flush cut, a type of cut made with a French flush-cut saw or diagonal pliers
* Flush deck, in naval architecture
* Flu ...
in poker are 507.8 to 1 against, for a probability of 1.9 × 10
−3 (0.19%).
* ''Mathematics – Poker:'' The odds of being dealt a
straight
Straight may refer to:
Slang
* Straight, slang for heterosexual
** Straight-acting, an LGBT person who does not exhibit the appearance or mannerisms of the gay stereotype
* Straight, a member of the straight edge subculture
Sport and games
* Str ...
in poker are 253.8 to 1 against, for a probability of 4 × 10
−3 (0.39%).
* ''Physics:'' ''α'' = , the
fine-structure constant
In physics, the fine-structure constant, also known as the Sommerfeld constant, commonly denoted by (the Greek letter ''alpha''), is a fundamental physical constant which quantifies the strength of the electromagnetic interaction between ele ...
.
10−2
(0.01; one
hundredth
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts. For example, a hundredth of 675 is 6.75. In this manner it is used with the prefix "centi" such as in centimeter.
A hundredth is the re ...
)
ISO:
centi-
''Centi'' (symbol c) is a unit prefix in the metric system denoting a factor of one hundredth. Proposed in 1793, and adopted in 1795, the prefix comes from the Latin , meaning "hundred" (cf. century, cent, percent, centennial). Since 1960, the pr ...
(c)
* ''Mathematics – Lottery:'' The odds of winning any prize in the
UK National Lottery
The National Lottery is the state-franchised national lottery established in 1994 in the United Kingdom. It is regulated by the Gambling Commission, and is currently operated by Camelot Group, to which the licence was granted in 1994, 2001 and ...
, with a single ticket, under the rules as of 2003, are 54 to 1 against, for a probability of about 0.018 (1.8%).
* ''Mathematics – Poker:'' The odds of being dealt a
three of a kind in poker are 46 to 1 against, for a probability of 0.021 (2.1%).
* ''Mathematics – Lottery:'' The odds of winning any prize in the
Powerball
Powerball is an American lottery game offered by 45 states, the District of Columbia, Puerto Rico and the U.S. Virgin Islands. It is coordinated by the Multi-State Lottery Association (MUSL). From its inaugural drawing on April 19, 1992, unti ...
, with a single ticket, under the rules as of 2015, are 24.87 to 1 against, for a probability of 0.0402 (4.02%).
* ''Mathematics – Poker:'' The odds of being dealt
two pair
In poker, players form sets of five playing cards, called ''hands'', according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. In high ...
in poker are 21 to 1 against, for a probability of 0.048 (4.8%).
10−1
(0.1; one tenth)
ISO:
deci-
''Deci'' (symbol d) is a decimal unit prefix in the metric system denoting a factor of one tenth. Proposed in 1793, and adopted in 1795, the prefix comes from the Latin , meaning "tenth". Since 1960, the prefix is part of the International System ...
(d)
* ''Legal history'': 10% was widespread as the
tax
A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and various public expenditures (regional, local, or n ...
raised for income or produce in the ancient and medieval period; see
tithe
A tithe (; from Old English: ''teogoþa'' "tenth") is a one-tenth part of something, paid as a contribution to a religious organization or compulsory tax to government. Today, tithes are normally voluntary and paid in cash or cheques or more r ...
.
* ''Mathematics – Poker:'' The odds of being dealt only
one pair
In poker, players form sets of five playing cards, called ''hands'', according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. In high ...
in poker are about 5 to 2 against (2.37 to 1), for a probability of 0.42 (42%).
* ''Mathematics – Poker:'' The odds of being dealt
no pair
In poker, players form sets of five playing cards, called ''hands'', according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. In high ...
in poker are nearly 1 to 2, for a probability of about 0.5 (50%).
100
![Planets2013](https://upload.wikimedia.org/wikipedia/commons/c/cb/Planets2013.svg)
(1;
one)
* ''Demography:'' The population of
Monowi, an incorporated village in
Nebraska
Nebraska () is a state in the Midwestern region of the United States. It is bordered by South Dakota to the north; Iowa to the east and Missouri to the southeast, both across the Missouri River; Kansas to the south; Colorado to the southwe ...
,
United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territorie ...
, was one in 2010.
* ''Religion:'' One is the number of gods in
Judaism
Judaism ( he, ''Yahăḏūṯ'') is an Abrahamic, monotheistic, and ethnic religion comprising the collective religious, cultural, and legal tradition and civilization of the Jewish people. It has its roots as an organized religion in the ...
,
Christianity
Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus of Nazareth. It is the world's largest and most widespread religion with roughly 2.38 billion followers representing one-third of the global pop ...
, and
Islam
Islam (; ar, ۘالِإسلَام, , ) is an Abrahamic religions, Abrahamic Monotheism#Islam, monotheistic religion centred primarily around the Quran, a religious text considered by Muslims to be the direct word of God in Islam, God (or ...
(
monotheistic religions).
* ''Computing –
Unicode
Unicode, formally The Unicode Standard,The formal version reference is is an information technology Technical standard, standard for the consistent character encoding, encoding, representation, and handling of Character (computing), text expre ...
:'' One character is assigned to the
Lisu Supplement
Lisu Supplement is a Unicode block containing supplementary characters of the Fraser alphabet, which is used to write the Lisu language. This is a supplement to the main Lisu block, with currently only a single character used for the Naxi langua ...
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ad ...
, the fewest of any public-use Unicode block as of Unicode 14.0 (2021).
* ''Mathematics:''
≈ , the ratio of the
diagonal
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal. The word ''diagonal'' derives from the ancient Greek δ ...
of a
square
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adj ...
to its side length.
* ''Mathematics:'' φ ≈ , the
golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0,
where the Greek letter phi ( ...
.
* ''Mathematics:''
≈ , the ratio of the
diagonal
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal. The word ''diagonal'' derives from the ancient Greek δ ...
of a
unit cube
A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long.. See in particulap. 671. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units..
Unit hypercube
The term '' ...
.
* ''Mathematics:'' the number system understood by most computers, the
binary
Binary may refer to:
Science and technology Mathematics
* Binary number, a representation of numbers using only two digits (0 and 1)
* Binary function, a function that takes two arguments
* Binary operation, a mathematical operation that t ...
system, uses 2 digits: 0 and 1.
*''Mathematics:''
≈ 2.236 067 9775, the correspondent to the diagonal of a rectangle whose side lengths are 1 and 2.
*''Mathematics:''
+ 1 ≈ , The ratio of smaller of the two quantities to the larger quantity is the same as the ratio of the larger quantity to the sum of the smaller quantity and twice the larger quantity.
* ''Mathematics:''
e ≈ , the base of the
natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant , which is an irrational and transcendental number approximately equal to . The natural logarithm of is generally written as , , or sometimes, if ...
.
* ''Mathematics:'' the number system understood by
ternary computer
A ternary computer, also called trinary computer, is one that uses ternary logic (i.e., base 3) instead of the more common binary system (i.e., base 2) in its calculations. This means it uses trits (instead of bits, as most computers do).
Types ...
s, the
ternary
Ternary (from Latin ''ternarius'') or trinary is an adjective meaning "composed of three items". It can refer to:
Mathematics and logic
* Ternary numeral system, a base-3 counting system
** Balanced ternary, a positional numeral system, useful ...
system, uses 3 digits: 0, 1, and 2.
* ''Religion:'' three manifestations of God in the Christian
Trinity
The Christian doctrine of the Trinity (, from 'threefold') is the central dogma concerning the nature of God in most Christian churches, which defines one God existing in three coequal, coeternal, consubstantial divine persons: God the F ...
.
* ''Mathematics:''
π ≈ , the ratio of a
circle
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is const ...
's circumference to its diameter.
* ''Religion:'' the
Four Noble Truths
In Buddhism, the Four Noble Truths (Sanskrit: ; pi, cattāri ariyasaccāni; "The four Arya satyas") are "the truths of the Noble Ones", the truths or realities for the "spiritually worthy ones". in Buddhism.
* ''Biology:''
7_±_2,_in_
7_±_2,_in_cognitive_science">The_Magical_Number_Seven,_Plus_or_Minus_Two">7_±_2,_in_cognitive_science,_George_Armitage_Miller.html" ;"title="cognitive_science.html" ;"title="The Magical Number Seven, Plus or Minus Two">7 ± 2, in cognitive science">The Magical Number Seven, Plus or Minus Two">7 ± 2, in cognitive science, George Armitage Miller">George A. Miller's estimate of the number of objects that can be simultaneously held in human working memory.
* ''Music'': 7 (number), 7 notes in a major scale, major or minor scale.
* ''Astronomy:'' 8 (number), 8 planets in the Solar System.
* ''Religion:'' the Eightfold Path in Buddhism.
* ''Literature:'' 9 circles of
Hell
In religion and folklore, hell is a location in the afterlife in which evil souls are subjected to punitive suffering, most often through torture, as eternal punishment after death. Religions with a linear divine history often depict hell ...
in the ''
Inferno
Inferno may refer to:
* Hell, an afterlife place of suffering
* Conflagration, a large uncontrolled fire
Film
* ''L'Inferno'', a 1911 Italian film
* Inferno (1953 film), ''Inferno'' (1953 film), a film noir by Roy Ward Baker
* Inferno (1973 fi ...
'' by
Dante Alighieri
Dante Alighieri (; – 14 September 1321), probably baptized Durante di Alighiero degli Alighieri and often referred to as Dante (, ), was an Italian poet, writer and philosopher. His ''Divine Comedy'', originally called (modern Italian: '' ...
.
101
![Two hand, ten fingers](https://upload.wikimedia.org/wikipedia/commons/1/1b/Two_hand%2C_ten_fingers.jpg)
(10;
ten)
ISO:
deca-
''Deca'' (American and British English spelling differences#-re, -er, International spelling as used by the International Bureau of Weights and Measures; (da)
* ''Demography:'' The population of
Pesnopoy
Pesnopoy ( bg, Песнопой) is a village in Ardino Municipality, Kardzhali Province, southern-central Bulgaria. It is located southeast of Sofia
Sofia ( ; bg, София, Sofiya, ) is the capital and largest city of Bulgaria. It is ...
, a village in
Bulgaria
Bulgaria (; bg, България, Bǎlgariya), officially the Republic of Bulgaria,, ) is a country in Southeast Europe. It is situated on the eastern flank of the Balkans, and is bordered by Romania to the north, Serbia and North Macedon ...
, was 10 in 2007.
* ''Human scale:'' There are 10
digits on a pair of human
hand
A hand is a prehensile, multi-fingered appendage located at the end of the forearm or forelimb of primates such as humans, chimpanzees, monkeys, and lemurs. A few other vertebrates such as the koala (which has two opposable thumbs on each "h ...
s, and 10
toe
Toes are the digits (fingers) of the foot of a tetrapod. Animal species such as cats that walk on their toes are described as being ''digitigrade''. Humans, and other animals that walk on the soles of their feet, are described as being ''plan ...
s on a pair of human
feet
The foot ( : feet) is an anatomical structure found in many vertebrates. It is the terminal portion of a limb which bears weight and allows locomotion. In many animals with feet, the foot is a separate organ at the terminal part of the leg made ...
.
* ''Mathematics:'' The number system used in everyday life, the
decimal
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
system, has 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
* ''Religion:'' the
Ten Commandments
The Ten Commandments (Biblical Hebrew עשרת הדברים \ עֲשֶׂרֶת הַדְּבָרִים, ''aséret ha-dvarím'', lit. The Decalogue, The Ten Words, cf. Mishnaic Hebrew עשרת הדיברות \ עֲשֶׂרֶת הַדִּבְ ...
in the
Abrahamic religions
The Abrahamic religions are a group of religions centered around worship of the God of Abraham. Abraham, a Hebrew patriarch, is extensively mentioned throughout Abrahamic religious scriptures such as the Bible and the Quran.
Jewish tradition ...
.
* ''Music:'' The number of notes (12) in a
chromatic scale
The chromatic scale (or twelve-tone scale) is a set of twelve pitches (more completely, pitch classes) used in tonal music, with notes separated by the interval of a semitone. Chromatic instruments, such as the piano, are made to produce the ...
.
* ''Astrology:'' There are 12
zodiac signs
In Western astrology, astrological signs are the twelve 30-degree sectors that make up Earth's 360-degree orbit around the Sun. The signs enumerate from the first day of spring, known as the First Point of Aries, which is the vernal equinox. ...
, each one representing part of the annual path of the sun's movement across the night sky.
* ''Computing –
Microsoft Windows
Windows is a group of several proprietary graphical operating system families developed and marketed by Microsoft. Each family caters to a certain sector of the computing industry. For example, Windows NT for consumers, Windows Server for serv ...
:'' Twelve successive consumer versions of
Windows NT
Windows NT is a proprietary graphical operating system
An operating system (OS) is system software that manages computer hardware, software resources, and provides common services for computer programs.
Time-sharing operating systems sc ...
have been released as of December 2021.
* ''Music:'' The number (15) of completed, numbered
string quartet
The term string quartet can refer to either a type of musical composition or a group of four people who play them. Many composers from the mid-18th century onwards wrote string quartets. The associated musical ensemble consists of two violinists ...
s by each of
Ludwig van Beethoven
Ludwig van Beethoven (baptised 17 December 177026 March 1827) was a German composer and pianist. Beethoven remains one of the most admired composers in the history of Western music; his works rank amongst the most performed of the classical ...
and
Dmitri Shostakovich
Dmitri Dmitriyevich Shostakovich, , group=n (9 August 1975) was a Soviet-era Russian composer and pianist who became internationally known after the premiere of his Symphony No. 1 (Shostakovich), First Symphony in 1926 and was regarded throug ...
.
* ''Linguistics:'' The
Finnish language
Finnish ( endonym: or ) is a Uralic language of the Finnic branch, spoken by the majority of the population in Finland and by ethnic Finns outside of Finland. Finnish is one of the two official languages of Finland (the other being Swedish ...
has fifteen
noun
A noun () is a word that generally functions as the name of a specific object or set of objects, such as living creatures, places, actions, qualities, states of existence, or ideas.Example nouns for:
* Living creatures (including people, alive, d ...
cases.
* ''Mathematics:'' The
hexadecimal
In mathematics and computing, the hexadecimal (also base-16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16. Unlike the decimal system representing numbers using 10 symbols, hexa ...
system, a common number system used in computer programming, uses 16 digits where the last 6 are usually represented by letters: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
* ''Computing – Unicode:'' The minimum possible size of a
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ad ...
is 16 contiguous code points (i.e., U+''abcde''0 - U+''abcde''F).
* ''Computing –
UTF-16
UTF-16 (16-bit computing, 16-bit Unicode Transformation Format) is a character encoding capable of encoding all 1,112,064 valid code points of Unicode (in fact this number of code points is dictated by the design of UTF-16). The encoding is variab ...
/
Unicode
Unicode, formally The Unicode Standard,The formal version reference is is an information technology Technical standard, standard for the consistent character encoding, encoding, representation, and handling of Character (computing), text expre ...
:'' There are 17 addressable
plane
Plane(s) most often refers to:
* Aero- or airplane, a powered, fixed-wing aircraft
* Plane (geometry), a flat, 2-dimensional surface
Plane or planes may also refer to:
Biology
* Plane (tree) or ''Platanus'', wetland native plant
* ''Planes' ...
s in UTF-16, and, thus, as Unicode is limited to the UTF-16 code space, 17 valid planes in Unicode.
* ''Science fiction:'' The
23 enigma plays a prominent role in the plot of ''
The Illuminatus! Trilogy
''The Illuminatus! Trilogy'' is a series of three novels by American writers Robert Shea and Robert Anton Wilson, first published in 1975.''Illuminatus!'' was written between 1969 and 1971, but not published until 1975 according to Robert Anto ...
'' by
Robert Shea
Robert Joseph Shea (February 14, 1933 – March 10, 1994) was an American novelist and former journalist best known as co-author with Robert Anton Wilson of the science fantasy trilogy ''Illuminatus!'' It became a cult success and was later turned ...
and
Robert Anton Wilson
Robert Anton Wilson (born Robert Edward Wilson; January 18, 1932 – January 11, 2007) was an American author, futurist, psychologist, and self-described agnostic mystic. Recognized within Discordianism as an Episkopos, pope and saint, Wilson ...
.
* ''Mathematics:''
e ≈ 23.140692633
* ''Music:'' a combined total of 24
major and minor keys, also the number of works in some musical cycles of
J. S. Bach
Johann Sebastian Bach (28 July 1750) was a German composer and musician of the late Baroque period. He is known for his orchestral music such as the '' Brandenburg Concertos''; instrumental compositions such as the Cello Suites; keyboard wo ...
,
Frédéric Chopin
Frédéric François Chopin (born Fryderyk Franciszek Chopin; 1 March 181017 October 1849) was a Polish composer and virtuoso pianist of the Romantic period, who wrote primarily for solo piano. He has maintained worldwide renown as a leadin ...
,
Alexander Scriabin
Alexander Nikolayevich Scriabin (; russian: Александр Николаевич Скрябин ; – ) was a Russian composer and virtuoso pianist. Before 1903, Scriabin was greatly influenced by the music of Frédéric Chopin and composed ...
, and
Dmitri Shostakovich
Dmitri Dmitriyevich Shostakovich, , group=n (9 August 1975) was a Soviet-era Russian composer and pianist who became internationally known after the premiere of his Symphony No. 1 (Shostakovich), First Symphony in 1926 and was regarded throug ...
.
* ''Alphabetic writing:'' There are 26 letters in the Latin-derived
English alphabet
The alphabet for Modern English is a Latin-script alphabet consisting of 26 letters, each having an upper- and lower-case form. The word ''alphabet'' is a compound of the first two letters of the Greek alphabet, '' alpha'' and '' beta''. ...
(excluding letters found only in foreign loanwords).
* ''Science fiction:'' The number 42, in by
Douglas Adams
Douglas Noel Adams (11 March 1952 – 11 May 2001) was an English author and screenwriter, best known for ''The Hitchhiker's Guide to the Galaxy''. Originally a 1978 BBC radio comedy, ''The Hitchhiker's Guide to the Galaxy'' developed into a " ...
, is the
which is calculated by
an enormous supercomputer over a period of 7.5 million years.
* ''Biology:'' Each human cell contains 46
chromosome
A chromosome is a long DNA molecule with part or all of the genetic material of an organism. In most chromosomes the very long thin DNA fibers are coated with packaging proteins; in eukaryotic cells the most important of these proteins are ...
s.
* ''Phonology:'' There are 47
phoneme
In phonology and linguistics, a phoneme () is a unit of sound that can distinguish one word from another in a particular language.
For example, in most dialects of English, with the notable exception of the West Midlands and the north-west o ...
s in
English phonology
Like many other languages, English has wide variation in pronunciation, both historically and from dialect to dialect. In general, however, the regional dialects of English share a largely similar (but not identical) phonological system. Among ...
in
Received Pronunciation
Received Pronunciation (RP) is the Accent (sociolinguistics), accent traditionally regarded as the Standard language, standard and most Prestige (sociolinguistics), prestigious form of spoken British English. For over a century, there has been ...
.
* ''Syllabic writing:'' There are 49 letters in each of the two
kana
The term may refer to a number of syllabaries used to write Japanese phonological units, morae. Such syllabaries include (1) the original kana, or , which were Chinese characters (kanji) used phonetically to transcribe Japanese, the most pr ...
syllabaries (
hiragana
is a Japanese syllabary, part of the Japanese writing system, along with ''katakana'' as well as ''kanji''.
It is a phonetic lettering system. The word ''hiragana'' literally means "flowing" or "simple" kana ("simple" originally as contrast ...
and
katakana
is a Japanese syllabary, one component of the Japanese writing system along with hiragana, kanji and in some cases the Latin script (known as rōmaji). The word ''katakana'' means "fragmentary kana", as the katakana characters are derived fr ...
) used to represent
Japanese
Japanese may refer to:
* Something from or related to Japan, an island country in East Asia
* Japanese language, spoken mainly in Japan
* Japanese people, the ethnic group that identifies with Japan through ancestry or culture
** Japanese diaspor ...
(not counting letters representing sound patterns that have never occurred in Japanese).
* ''
Chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to disti ...
:'' Either player in a chess game can claim a draw if 50 consecutive moves are made by each side without any captures or pawn moves.
* ''Demography:'' The population of
Nassau Island, part of the
Cook Islands
)
, image_map = Cook Islands on the globe (small islands magnified) (Polynesia centered).svg
, capital = Avarua
, coordinates =
, largest_city = Avarua
, official_languages =
, lan ...
, was around 78 in 2016.
* ''Syllabic writing:'' There are 85 letters in the modern version of the
Cherokee syllabary
The Cherokee syllabary is a syllabary invented by Sequoyah in the late 1810s and early 1820s to write the Cherokee language. His creation of the syllabary is particularly noteworthy as he was illiterate until the creation of his syllabary. He f ...
.
* ''Music:'' There are 88 keys on a
grand piano
The piano is a stringed keyboard instrument in which the strings are struck by wooden hammers that are coated with a softer material (modern hammers are covered with dense wool felt; some early pianos used leather). It is played using a keyboa ...
.
* ''Computing –
ASCII
ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...
:'' There are 95 printable characters in the
ASCII
ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...
character set
Character encoding is the process of assigning numbers to graphical characters, especially the written characters of human language, allowing them to be stored, transmitted, and transformed using digital computers. The numerical values that ...
.
102
![ASCII-Table-wide](https://upload.wikimedia.org/wikipedia/commons/1/1b/ASCII-Table-wide.svg)
(100;
hundred
100 or one hundred (Roman numeral: C) is the natural number following 99 and preceding 101.
In medieval contexts, it may be described as the short hundred or five score in order to differentiate the English and Germanic use of "hundred" to de ...
)
ISO:
hecto-
''Hecto'' (symbol: h) is a decimal unit prefix in the metric system denoting a factor of one hundred. It was adopted as a multiplier in 1795, and comes from the Greek , meaning "hundred". In 19th century English it was sometimes spelled "hecato", ...
(h)
* ''Music:'' There are 104
numbered symphonies of
Franz Josef Haydn
Franz Joseph Haydn ( , ; 31 March 173231 May 1809) was an Austrian composer of the Classical period. He was instrumental in the development of chamber music such as the string quartet and piano trio. His contributions to musical form have l ...
.
* ''European history:'' Groupings of 100 homesteads were a common administrative unit in Northern Europe and Great Britain (see
Hundred (county division)
A hundred is an administrative division that is geographically part of a larger region. It was formerly used in England, Wales, some parts of the United States, Denmark, Southern Schleswig, Sweden, Finland, Norway, the Bishopric of Ösel–Wiek, C ...
).
* ''Religion:'' 108 is a sacred number in
Hinduism
Hinduism () is an Indian religion or '' dharma'', a religious and universal order or way of life by which followers abide. As a religion, it is the world's third-largest, with over 1.2–1.35 billion followers, or 15–16% of the global p ...
.
* ''Chemistry:'' 118
chemical element
A chemical element is a species of atoms that have a given number of protons in their nuclei, including the pure substance consisting only of that species. Unlike chemical compounds, chemical elements cannot be broken down into simpler sub ...
s have been discovered or synthesized as of 2016.
* ''Computing – ASCII:'' There are 128 characters in the
ASCII
ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...
character set, including nonprintable
control character
In computing and telecommunication, a control Character (computing), character or non-printing character (NPC) is a code point (a number) in a character encoding, character set, that does not represent a written symbol. They are used as in-band ...
s.
* ''Phonology:'' The
Taa language
Taa , also known as ǃXóõ (also spelled ǃKhong and ǃXoon; ), is a Tuu languages, Tuu language notable for its large number of phonemes, perhaps the largest in the world. It is also notable for having perhaps the heaviest functional load of ...
is estimated to have between 130 and 164 distinct phonemes.
* ''Political Science:'' There were 193 member states of the
United Nations
The United Nations (UN) is an intergovernmental organization whose stated purposes are to maintain international peace and international security, security, develop friendly relations among nations, achieve international cooperation, and be ...
as of 2011.
* ''Computing:'' A
GIF image (or an
8-bit
In computer architecture, 8-bit Integer (computer science), integers or other Data (computing), data units are those that are 8 bits wide (1 octet (computing), octet). Also, 8-bit central processing unit (CPU) and arithmetic logic unit (ALU) arc ...
image) supports maximum 256 (=2
8) colors.
* ''Computing – Unicode:'' There are 320 different
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ad ...
s as of Unicode 14.0 (2021).
* ''Aviation:'' 583 persons died in the 1977
Tenerife airport disaster
The Tenerife airport disaster occurred on March 27, 1977, when two Boeing 747 passenger jets collided on the runway at Los Rodeos Airport (now Tenerife North Airport) on the Spanish island of Tenerife. The collision occurred when KLM Flight 4 ...
, the deadliest accident not caused by deliberate terrorist action in the history of civil aviation.
* ''Music:'' The highest number (626) in the
Köchel catalogue
The Köchel catalogue (german: Köchel-Verzeichnis, links=no) is a chronological catalogue of compositions by Wolfgang Amadeus Mozart, originally created by Ludwig Ritter von Köchel, in which the entries are abbreviated ''K.'', or ''KV''. The nu ...
of works of
Wolfgang Amadeus Mozart
Wolfgang Amadeus Mozart (27 January 17565 December 1791), baptised as Joannes Chrysostomus Wolfgangus Theophilus Mozart, was a prolific and influential composer of the Classical period. Despite his short life, his rapid pace of composition r ...
.
* ''Demography:'' The
Vatican City
Vatican City (), officially the Vatican City State ( it, Stato della Città del Vaticano; la, Status Civitatis Vaticanae),—'
* german: Vatikanstadt, cf. '—' (in Austria: ')
* pl, Miasto Watykańskie, cf. '—'
* pt, Cidade do Vati ...
, the least populous independent country, has an approximate population of 800 as of 2018.
103
![Legion Task ORG](https://upload.wikimedia.org/wikipedia/commons/1/1f/Legion_Task_ORG.png)
(;
thousand
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
A group of one thousand th ...
)
ISO:
kilo-
Kilo is a decimal unit prefix in the metric system denoting multiplication by one thousand (103). It is used in the International System of Units, where it has the symbol k, in lowercase.
The prefix ''kilo'' is derived from the Greek word (), ...
(k)
* ''Demography:'' The population of
Ascension Island
Ascension Island is an isolated volcanic island, 7°56′ south of the Equator in the South Atlantic Ocean. It is about from the coast of Africa and from the coast of South America. It is governed as part of the British Overseas Territory o ...
is 1,122.
* ''Music:'' 1,128: number of known extant works by
Johann Sebastian Bach
Johann Sebastian Bach (28 July 1750) was a German composer and musician of the late Baroque period. He is known for his orchestral music such as the '' Brandenburg Concertos''; instrumental compositions such as the Cello Suites; keyboard w ...
recognized in the
Bach-Werke-Verzeichnis
The (BWV; ; ) is a catalogue of compositions by Johann Sebastian Bach. It was first published in 1950, edited by Wolfgang Schmieder. The catalogue's second edition appeared in 1990. An abbreviated version of that second edition, known as BWV2a ...
as of 2017.
* ''Typesetting:'' 2,000–3,000
letters
Letter, letters, or literature may refer to:
Characters typeface
* Letter (alphabet), a character representing one or more of the sounds used in speech; any of the symbols of an alphabet.
* Letterform, the graphic form of a letter of the alphabe ...
on a typical typed
page
Page most commonly refers to:
* Page (paper), one side of a leaf of paper, as in a book
Page, PAGE, pages, or paging may also refer to:
Roles
* Page (assistance occupation), a professional occupation
* Page (servant), traditionally a young m ...
of text.
* ''Mathematics:'' 2,520 (5×7×8×9 or 2
3×3
2×5×7) is the
least common multiple
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers ''a'' and ''b'', usually denoted by lcm(''a'', ''b''), is the smallest positive integer that is divisible by bot ...
of every positive integer under (and including) 10.
* ''Terrorism:'' 2,996 persons (including 19 terrorists) died in the
terrorist
Terrorism, in its broadest sense, is the use of criminal violence to provoke a state of terror or fear, mostly with the intention to achieve political or religious aims. The term is used in this regard primarily to refer to intentional violen ...
attacks of
September 11, 2001
The September 11 attacks, commonly known as 9/11, were four coordinated suicide terrorist attacks carried out by al-Qaeda against the United States on Tuesday, September 11, 2001. That morning, nineteen terrorists hijacked four commerc ...
.
* ''Biology:'' the
DNA of the simplest
virus
A virus is a submicroscopic infectious agent that replicates only inside the living cells of an organism. Viruses infect all life forms, from animals and plants to microorganisms, including bacteria and archaea.
Since Dmitri Ivanovsky's 1 ...
es has 3,000
base pair
A base pair (bp) is a fundamental unit of double-stranded nucleic acids consisting of two nucleobases bound to each other by hydrogen bonds. They form the building blocks of the DNA double helix and contribute to the folded structure of both DNA ...
s.
* ''Military history'': 4,200 (Republic) or 5,200 (Empire) was the standard size of a
Roman legion
The Roman legion ( la, legiō, ) was the largest military unit of the Roman army, composed of 5,200 infantry and 300 equites (cavalry) in the period of the Roman Republic (509 BC–27 BC) and of 5,600 infantry and 200 auxilia in the period of ...
.
* ''Linguistics:'' Estimates for the
linguistic diversity
Language is a structured system of communication. The structure of a language is its grammar and the free components are its vocabulary. Languages are the primary means by which humans communicate, and may be conveyed through a variety of met ...
of living human languages or dialects range between 5,000 and 10,000. (
SIL Ethnologue
''Ethnologue: Languages of the World'' (stylized as ''Ethnoloɠue'') is an annual reference publication in print and online that provides statistics and other information on the living languages of the world. It is the world's most comprehensiv ...
in 2009 listed 6,909 known living languages.)
*''Astronomy – Catalogues:'' There are 7,840
deep-sky object
A deep-sky object (DSO) is any astronomical object that is not an individual star or Solar System object (such as Sun, Moon, planet, comet, etc.). The classification is used for the most part by amateur astronomers to denote visually observed fa ...
s in the
NGC Catalogue
The ''New General Catalogue of Nebulae and Clusters of Stars'' (abbreviated NGC) is an astronomical catalogue of deep-sky objects compiled by John Louis Emil Dreyer in 1888. The NGC contains 7,840 objects, including galaxies, star clusters and ...
from 1888.
* ''Lexicography:'' 8,674 unique words in the
Hebrew Bible
The Hebrew Bible or Tanakh (;["Tanach"](_blank)
''Random House Webster's Unabridged Dictionary''. Hebrew: ''Tān ...
.
104
(;
ten thousand
The Ten Thousand ( grc, οἱ Μύριοι, ''oi Myrioi'') were a force of mercenary units, mainly Greeks, employed by Cyrus the Younger to attempt to wrest the throne of the Persian Empire from his brother, Artaxerxes II. Their march to the Bat ...
or a
myriad
A myriad (from Ancient Greek grc, μυριάς, translit=myrias, label=none) is technically the number 10,000 (ten thousand); in that sense, the term is used in English almost exclusively for literal translations from Greek, Latin or Sinospher ...
)
* ''Biology:'' Each
neuron
A neuron, neurone, or nerve cell is an electrically excitable cell that communicates with other cells via specialized connections called synapses. The neuron is the main component of nervous tissue in all animals except sponges and placozoa. N ...
in the
human brain
The human brain is the central organ of the human nervous system, and with the spinal cord makes up the central nervous system. The brain consists of the cerebrum, the brainstem and the cerebellum. It controls most of the activities of the ...
is estimated to connect to 10,000 others.
* ''Demography:'' The population of
Tuvalu
Tuvalu ( or ; formerly known as the Ellice Islands) is an island country and microstate in the Polynesian subregion of Oceania in the Pacific Ocean. Its islands are situated about midway between Hawaii and Australia. They lie east-northeast ...
was 10,544 in 2007.
* ''Lexicography:'' 14,500 unique English words occur in the
King James Version
The King James Version (KJV), also the King James Bible (KJB) and the Authorized Version, is an Bible translations into English, English translation of the Christian Bible for the Church of England, which was commissioned in 1604 and publis ...
of the Bible.
*''Zoology:'' There are approximately 17,500 distinct butterfly species known.
* ''Language:'' There are 20,000–40,000 distinct
Chinese character
Chinese characters () are logograms developed for the Written Chinese, writing of Chinese. In addition, they have been adapted to write other East Asian languages, and remain a key component of the Japanese writing system where they are k ...
s in more than occasional use.
* ''Biology:'' Each human being is estimated to have 20,000
coding genes.
* ''Grammar:'' Each regular
verb
A verb () is a word (part of speech) that in syntax generally conveys an action (''bring'', ''read'', ''walk'', ''run'', ''learn''), an occurrence (''happen'', ''become''), or a state of being (''be'', ''exist'', ''stand''). In the usual descri ...
in
Cherokee
The Cherokee (; chr, ᎠᏂᏴᏫᏯᎢ, translit=Aniyvwiyaʔi or Anigiduwagi, or chr, ᏣᎳᎩ, links=no, translit=Tsalagi) are one of the indigenous peoples of the Southeastern Woodlands of the United States. Prior to the 18th century, t ...
can have 21,262
inflected
In linguistic morphology, inflection (or inflexion) is a process of word formation in which a word is modified to express different grammatical categories such as tense, case, voice, aspect, person, number, gender, mood, animacy, and defini ...
forms.
* ''War:'' 22,717 Union and Confederate soldiers were killed, wounded, or missing in the
Battle of Antietam
The Battle of Antietam (), or Battle of Sharpsburg particularly in the Southern United States, was a battle of the American Civil War fought on September 17, 1862, between Confederate Gen. Robert E. Lee's Army of Northern Virginia and Union G ...
, the bloodiest single day of battle in American history.
* ''Computing – Unicode:'' 42,720 characters are encoded in
CJK Unified Ideographs Extension B
CJK Unified Ideographs Extension B is a Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes ( code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and ...
, the most of any single public-use
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ad ...
as of Unicode 14.0 (2021).
* ''Aviation:'' , 44,000+ airframes have been built of the
Cessna 172
The Cessna 172 Skyhawk is an American four-seat, single-engine, high wing, fixed-wing aircraft made by the Cessna Aircraft Company. , the
most-produced aircraft in history.
* ''Computing - Fonts:'' The maximum possible number of glyphs in a
TrueType
TrueType is an outline font standard developed by Apple in the late 1980s as a competitor to Adobe's Type 1 fonts used in PostScript. It has become the most common format for fonts on the classic Mac OS, macOS, and Microsoft Windows operating sy ...
or
OpenType
OpenType is a format for scalable computer fonts. It was built on its predecessor TrueType, retaining TrueType's basic structure and adding many intricate data structures for prescribing typographic behavior. OpenType is a registered trademark o ...
font is 65,535 (2
16-1), the largest number representable by the 16-bit unsigned integer used to record the total number of glyphs in the font.
* ''Computing – Unicode:'' A
plane
Plane(s) most often refers to:
* Aero- or airplane, a powered, fixed-wing aircraft
* Plane (geometry), a flat, 2-dimensional surface
Plane or planes may also refer to:
Biology
* Plane (tree) or ''Platanus'', wetland native plant
* ''Planes' ...
contains 65,536 (2
16) code points; this is also the maximum size of a
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ad ...
, and the total number of code points available in the obsolete
UCS-2
The Universal Coded Character Set (UCS, Unicode) is a standard set of characters defined by the international standard ISO/IEC 10646, ''Information technology — Universal Coded Character Set (UCS)'' (plus amendments to that standard), whi ...
encoding.
* ''Mathematics:''
65,537
65537 is the integer after 65536 (number), 65536 and before 65538.
In mathematics
65537 is the largest known prime number of the form 2^ +1 (n = 4). Therefore, a regular polygon, regular 65537-gon, polygon with 65537 sides is constructible polyg ...
is the largest known
Fermat prime
In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form
:F_ = 2^ + 1,
where ''n'' is a non-negative integer. The first few Fermat numbers are:
: 3, 5, 17, 257, 65537, 4294967 ...
.
* ''Memory:'' , the largest number of decimal places of
π that have been recited from
memory
Memory is the faculty of the mind by which data or information is encoded, stored, and retrieved when needed. It is the retention of information over time for the purpose of influencing future action. If past events could not be remembered, ...
is 70,030.
105
![Woman with long brown hair, close-up view](https://upload.wikimedia.org/wikipedia/commons/3/3a/Woman_with_long_brown_hair%2C_close-up_view.jpg)
(;
one hundred thousand
100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.
Terms for 100,000
In India, Pakistan and South Asia, one hundred thousand is called a lakh, and is wri ...
or a
lakh
A lakh (; abbreviated L; sometimes written lac) is a unit in the Indian numbering system equal to one hundred thousand (100,000; scientific notation: 105). In the Indian 2,2,3 convention of digit grouping, it is written as 1,00,000. For ex ...
).
* ''Demography:'' The population of
Saint Vincent and the Grenadines
Saint Vincent and the Grenadines () is an island country in the Caribbean. It is located in the southeast Windward Islands of the Lesser Antilles, which lie in the West Indies at the southern end of the eastern border of the Caribbean Sea wh ...
was 100,982 in 2009.
* ''Biology – Strands of hair on a head:'' The average human head has about 100,000–150,000 strands of
hair
Hair is a protein filament that grows from follicles found in the dermis. Hair is one of the defining characteristics of mammals.
The human body, apart from areas of glabrous skin, is covered in follicles which produce thick terminal and f ...
.
* ''Literature:'' approximately 100,000 verses (
shloka
Shloka or śloka ( sa, श्लोक , from the root , Macdonell, Arthur A., ''A Sanskrit Grammar for Students'', Appendix II, p. 232 (Oxford University Press, 3rd edition, 1927). in a broader sense, according to Monier-Williams's dictionary, is ...
s) in the ''
Mahabharata
The ''Mahābhārata'' ( ; sa, महाभारतम्, ', ) is one of the two major Sanskrit epics of ancient India in Hinduism, the other being the ''Rāmāyaṇa''. It narrates the struggle between two groups of cousins in the Kuruk ...
''.
* ''Computing – Unicode:'' 144,762 characters (including control characters) encoded in Unicode as of version 14.0 (2021).
* ''Language:'' 267,000 words in
James Joyce
James Augustine Aloysius Joyce (2 February 1882 – 13 January 1941) was an Irish novelist, poet, and literary critic. He contributed to the modernist avant-garde movement and is regarded as one of the most influential and important writers of ...
's ''
Ulysses
Ulysses is one form of the Roman name for Odysseus, a hero in ancient Greek literature.
Ulysses may also refer to:
People
* Ulysses (given name), including a list of people with this name
Places in the United States
* Ulysses, Kansas
* Ulysse ...
''.
* ''Computing – Unicode:'' 288,512 code points assigned to a
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ad ...
as of Unicode 14.0.
* ''Mathematics:'' 294,000 – The approximate number of entries in The
On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the ...
.
* ''Genocide:'' 300,000 people killed in the
Rape of Nanking
The Nanjing Massacre (, ja, 南京大虐殺, Nankin Daigyakusatsu) or the Rape of Nanjing (formerly romanized as ''Nanking'') was the mass murder of Chinese civilians in Nanjing, the capital of the Republic of China, immediately after the Ba ...
.
* ''Language – English words:'' The
New Oxford Dictionary of English
The ''Oxford Dictionary of English'' (''ODE'') is a single-volume English dictionary published by Oxford University Press, first published in 1998 as ''The New Oxford Dictionary of English'' (''NODE''). The word "new" was dropped from the titl ...
contains about 360,000 definitions for
English
English usually refers to:
* English language
* English people
English may also refer to:
Peoples, culture, and language
* ''English'', an adjective for something of, from, or related to England
** English national ide ...
word
A word is a basic element of language that carries an semantics, objective or pragmatics, practical semantics, meaning, can be used on its own, and is uninterruptible. Despite the fact that language speakers often have an intuitive grasp of w ...
s.
* ''Biology – Plants:'' There are approximately 390,000 distinct plant species known, of which approximately 20% (or 78,000) are in risk of extinction.
*''Biology – Flowers:'' There are approximately 400,000 distinct flower species on Earth.
* ''Literature:'' 564,000 words in ''
War and Peace
''War and Peace'' (russian: Война и мир, translit=Voyna i mir; pre-reform Russian: ; ) is a literary work by the Russian author Leo Tolstoy that mixes fictional narrative with chapters on history and philosophy. It was first published ...
'' by
Leo Tolstoy
Count Lev Nikolayevich TolstoyTolstoy pronounced his first name as , which corresponds to the romanization ''Lyov''. () (; russian: link=no, Лев Николаевич Толстой,In Tolstoy's day, his name was written as in pre-refor ...
.
* ''Literature:'' 930,000 words in the
King James Version
The King James Version (KJV), also the King James Bible (KJB) and the Authorized Version, is an Bible translations into English, English translation of the Christian Bible for the Church of England, which was commissioned in 1604 and publis ...
of the Bible.
* ''Mathematics:'' There are 933,120 possible combinations on the
Pyraminx
The Pyraminx () is a regular tetrahedron puzzle in the style of Rubik's Cube. It was made and patented by Uwe Mèffert after the original 3 layered Rubik's Cube by Ernő Rubik, and introduced by Tomy Toys of Japan (then the 3rd largest toy co ...
.
* ''Computing – Unicode:'' There are 974,530 publicly-assignable code points (i.e., not surrogates, private-use code points, or noncharacters) in Unicode.
106
![Pocket cube scrambled](https://upload.wikimedia.org/wikipedia/commons/2/2f/Pocket_cube_scrambled.jpg)
(; 1000
2;
long and short scales
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one
million
One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian ''millione'' (''milione'' in modern Italian), from ''mille'', "thousand", plus the au ...
)
ISO:
mega-
Mega is a metric prefix, unit prefix in metric systems of units denoting a factor of one million (106 or 1000000 (number), ). It has the unit symbol M. It was confirmed for use in the International System of Units (SI) in 1960. ''Mega'' comes fro ...
(M)
* ''Demography:'' The population of
Riga
Riga (; lv, Rīga , liv, Rīgõ) is the capital and largest city of Latvia and is home to 605,802 inhabitants which is a third of Latvia's population. The city lies on the Gulf of Riga at the mouth of the Daugava river where it meets the Ba ...
,
Latvia
Latvia ( or ; lv, Latvija ; ltg, Latveja; liv, Leţmō), officially the Republic of Latvia ( lv, Latvijas Republika, links=no, ltg, Latvejas Republika, links=no, liv, Leţmō Vabāmō, links=no), is a country in the Baltic region of ...
was 1,003,949 in 2004, according to
Eurostat
Eurostat ('European Statistical Office'; DG ESTAT) is a Directorate-General of the European Commission located in the Kirchberg, Luxembourg, Kirchberg quarter of Luxembourg City, Luxembourg. Eurostat's main responsibilities are to provide statis ...
.
* ''Computing –
UTF-8
UTF-8 is a variable-width encoding, variable-length character encoding used for electronic communication. Defined by the Unicode Standard, the name is derived from ''Unicode'' (or ''Universal Coded Character Set'') ''Transformation Format 8-bit'' ...
:'' There are 1,112,064 (2
20 + 2
16 - 2
11) valid
UTF-8
UTF-8 is a variable-width encoding, variable-length character encoding used for electronic communication. Defined by the Unicode Standard, the name is derived from ''Unicode'' (or ''Universal Coded Character Set'') ''Transformation Format 8-bit'' ...
sequences (excluding overlong sequences and sequences corresponding to code points used for
UTF-16
UTF-16 (16-bit computing, 16-bit Unicode Transformation Format) is a character encoding capable of encoding all 1,112,064 valid code points of Unicode (in fact this number of code points is dictated by the design of UTF-16). The encoding is variab ...
surrogates or code points beyond U+10FFFF).
* ''Computing –
UTF-16
UTF-16 (16-bit computing, 16-bit Unicode Transformation Format) is a character encoding capable of encoding all 1,112,064 valid code points of Unicode (in fact this number of code points is dictated by the design of UTF-16). The encoding is variab ...
/Unicode:'' There are 1,114,112 (2
20 + 2
16) distinct values encodable in
UTF-16
UTF-16 (16-bit computing, 16-bit Unicode Transformation Format) is a character encoding capable of encoding all 1,112,064 valid code points of Unicode (in fact this number of code points is dictated by the design of UTF-16). The encoding is variab ...
, and, thus (as Unicode is currently limited to the UTF-16 code space), 1,114,112 valid code points in Unicode (1,112,064 scalar values and 2,048 surrogates).
*''Ludology – Number of games:'' Approximately 1,181,019 video games have been created as of 2019.
* ''Biology – Species:'' The
World Resources Institute
The World Resources Institute (WRI) is a global research non-profit organization established in 1982 with funding from the MacArthur Foundation under the leadership of James Gustave Speth. WRI's activities are focused on seven areas: food, fore ...
claims that approximately 1.4 million
species
In biology, a species is the basic unit of classification and a taxonomic rank of an organism, as well as a unit of biodiversity. A species is often defined as the largest group of organisms in which any two individuals of the appropriate s ...
have been named, out of an unknown number of total species (estimates range between 2 and 100 million species). Some scientists give 8.8 million species as an exact figure.
* ''Genocide:'' Approximately 800,000–1,500,000 (1.5 million)
Armenians
Armenians ( hy, հայեր, ''hayer'' ) are an ethnic group native to the Armenian highlands of Western Asia. Armenians constitute the main population of Armenia and the ''de facto'' independent Artsakh. There is a wide-ranging diaspora ...
were killed in the
Armenian genocide
The Armenian genocide was the systematic destruction of the Armenians in the Ottoman Empire, Armenian people and identity in the Ottoman Empire during World War I. Spearheaded by the ruling Committee of Union and Progress (CUP), it was ...
.
* ''Linguistics:'' The number of possible
conjugations for each verb in the
Archi language
Archi is a Northeast Caucasian language spoken by the Archis in the village of Archib, southern Dagestan, Russia, and the six surrounding smaller villages.
It is unusual for its many phonemes and for its contrast between several voiceless velar ...
is 1,502,839.
* ''Info:'' The
freedb
Freedb was a database of compact disc track listings, where all the content was under the GNU General Public License. To look up CD information over the Internet, a client program calculated a hash function from the CD table of contents and used ...
database of
CD track listings has around 1,750,000 entries .
* ''War:'' 1,857,619 casualties at the
Battle of Stalingrad
The Battle of Stalingrad (23 August 19422 February 1943) was a major battle on the Eastern Front of World War II where Nazi Germany and its allies unsuccessfully fought the Soviet Union for control of the city of Stalingrad (later re ...
.
* ''Computing – UTF-8:'' 2,164,864 (2
21 + 2
16 + 2
11 + 2
7) possible one- to four-byte UTF-8 sequences, if the restrictions on overlong sequences, surrogate code points, and code points beyond U+10FFFF are ''not'' adhered to. (Note that not all of these correspond to unique code points.)
* ''Mathematics – Playing cards:'' There are 2,598,960 different 5-card
poker hand
In poker, players form sets of five playing cards, called ''hands'', according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. In high ...
s that can be dealt from a standard 52-card deck.
* ''Mathematics:'' There are 3,149,280 possible positions for the
Skewb
The Skewb () is a combination puzzle and a mechanical puzzle in the style of the Rubik's Cube. It was invented by Tony Durham and marketed by Uwe Mèffert. Although it is cubical in shape, it differs from Rubik's construction in that its axes o ...
.
*''Mathematics – Rubik's Cube:'' 3,674,160 is the number of combinations for the
Pocket Cube
The 2x2 Rubik's Cube (also known as the Pocket Cube or Mini Cube) is a 2×2×2 version of the Rubik's Cube. The cube consists of 8 pieces, all corners.
History
In March 1970, Larry D. Nichols invented a 2×2×2 "Puzzle with Pieces Rotatable in ...
(2×2×2 Rubik's Cube).
* ''Geography/Computing – Geographic places:'' The NIMA
GEOnet Names Server
The GEOnet Names Server (GNS), sometimes also referred to in official documentation as Geographic Names Data or geonames in domain and email addresses, is a service that provides access to the United States National Geospatial-Intelligence Agency ...
contains approximately 3.88 million named
geographic feature
A feature (also called an object or entity), in the context of geography and geographic information science, is a discrete phenomenon that exists at a location in the space and scale of relevance to geography; that is, at or near the surface of Ea ...
s outside the United States, with 5.34 million names. The USGS
Geographic Names Information System
The Geographic Names Information System (GNIS) is a database of name and locative information about more than two million physical and cultural features throughout the United States and its territories, Antarctica, and the associated states of ...
claims to have almost 2 million physical and cultural geographic features within the United States.
* ''Computing - Supercomputer hardware:'' 4,981,760 processor cores in the final configuration of the
Tianhe-2
Tianhe-2 or TH-2 (, i.e. 'Milky Way 2') is a 33.86-petaflops supercomputer located in the National Supercomputer Center in Guangzhou, China. It was developed by a team of 1,300 scientists and engineers.
It was the world's fastest supercomputer ac ...
supercomputer.
* ''Genocide:'' Approximately 5,100,000–6,200,000
Jews
Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
were killed in
the Holocaust
The Holocaust, also known as the Shoah, was the genocide of European Jews during World War II. Between 1941 and 1945, Nazi Germany and its collaborators systematically murdered some six million Jews across German-occupied Europe; a ...
.
* ''Info – Web sites:'' As of , , the
English Wikipedia
The English Wikipedia is, along with the Simple English Wikipedia, one of two English-language editions of Wikipedia, an online encyclopedia. It was founded on January 15, 2001, as Wikipedia's first edition, and, as of
, has the most arti ...
contains approximately million articles in the
English language
English is a West Germanic language of the Indo-European language family, with its earliest forms spoken by the inhabitants of early medieval England. It is named after the Angles, one of the ancient Germanic peoples that migrated to the is ...
.
107
![Pavage domino](https://upload.wikimedia.org/wikipedia/commons/a/a4/Pavage_domino.svg)
(; a
crore
A crore (; abbreviated cr) denotes ten million (10,000,000 or 107 in scientific notation) and is equal to 100 lakh in the Indian numbering system. It is written as 1,00,00,000 with the local 2,2,3 style of digit group separators (one lakh is e ...
;
long and short scales
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
:
ten million
Ten Million (October 14, 1889 – June 18, 1964) was a minor league baseball player who played for various teams in the Northwestern League in the years prior to World War I. He is best known for his unusual name.
Baseball career
The Cleveland ...
)
* ''Demography:'' The population of
Haiti
Haiti (; ht, Ayiti ; French: ), officially the Republic of Haiti (); ) and formerly known as Hayti, is a country located on the island of Hispaniola in the Greater Antilles archipelago of the Caribbean Sea, east of Cuba and Jamaica, and ...
was 10,085,214 in 2010.
* ''Literature:'' 11,206,310 words in
''Devta'' by
Mohiuddin Nawab
Mohiuddin Nawab ( ur, ) (September 4, 1930 - February 6, 2016) was a Pakistani novelist, screenwriter, and poet. He is famous for his popular novel series, " Devta" that was episodically and continuously published in Suspense Digest from February ...
, the longest continuously published story known in the history of literature.
* ''Genocide'': An estimated 12 million persons shipped from Africa to the New World in the
Atlantic slave trade
The Atlantic slave trade, transatlantic slave trade, or Euro-American slave trade involved the transportation by slave traders of enslaved African people, mainly to the Americas. The slave trade regularly used the triangular trade route and i ...
.
* ''Mathematics:'' 12,988,816 is the number of
domino tilings of an 8×8
checkerboard
A checkerboard (American English) or chequerboard (British English; see spelling differences) is a board of checkered pattern on which checkers (also known as English draughts) is played. Most commonly, it consists of 64 squares (8×8) of altern ...
.
* ''War:'' 15 to 22 million casualties estimated as a result of
World War I
World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fightin ...
.
* ''Genocide/Famine:'' 15 million is an estimated lower bound for the death toll of the 1959–1961
Great Chinese Famine
The Great Chinese Famine () was a period between 1959 and 1961 in the history of the People's Republic of China (PRC) characterized by widespread famine. Some scholars have also included the years 1958 or 1962. It is widely regarded as the dead ...
, the deadliest known famine in human history.
* ''Computing:'' 16,777,216 different
color
Color (American English) or colour (British English) is the visual perceptual property deriving from the spectrum of light interacting with the photoreceptor cells of the eyes. Color categories and physical specifications of color are associ ...
s can be generated using the
hex code system in
HTML
The HyperText Markup Language or HTML is the standard markup language for documents designed to be displayed in a web browser. It can be assisted by technologies such as Cascading Style Sheets (CSS) and scripting languages such as JavaScri ...
(note that the
trichromatic
Trichromacy or trichromatism is the possessing of three independent channels for conveying color information, derived from the three different types of cone cells in the eye. Organisms with trichromacy are called trichromats.
The normal expl ...
color vision
Color vision, a feature of visual perception, is an ability to perceive differences between light composed of different wavelengths (i.e., different spectral power distributions) independently of light intensity. Color perception is a part of ...
of the
human eye
The human eye is a sensory organ, part of the sensory nervous system, that reacts to visible light and allows humans to use visual information for various purposes including seeing things, keeping balance, and maintaining circadian rhythm.
...
can only distinguish between about an estimated 1,000,000 different colors).
* ''Science Fiction'': In
Isaac Asimov
yi, יצחק אזימאװ
, birth_date =
, birth_place = Petrovichi, Russian SFSR
, spouse =
, relatives =
, children = 2
, death_date =
, death_place = Manhattan, New York City, U.S.
, nationality = Russian (1920–1922)Soviet (192 ...
's
Galactic Empire
Galactic empires are a common trope used in science fantasy and science fiction, particularly in works known as 'space operas'. Many authors have either used a galaxy-spanning empire as background or written about the growth and/or decline of s ...
, in 22,500 CE, there are 25,000,000 different inhabited planets in the Galactic Empire, all inhabited by
human
Humans (''Homo sapiens'') are the most abundant and widespread species of primate, characterized by bipedalism and exceptional cognitive skills due to a large and complex brain. This has enabled the development of advanced tools, culture, ...
s in Asimov's "human galaxy" scenario.
* ''Genocide/Famine:'' 55 million is an estimated upper bound for the death toll of the Great Chinese Famine.
* ''Literature:''
Wikipedia
Wikipedia is a multilingual free online encyclopedia written and maintained by a community of volunteers, known as Wikipedians, through open collaboration and using a wiki-based editing system. Wikipedia is the largest and most-read refer ...
contains a total of around articles in
languages as of .
* ''War:'' 70 to 85 million casualties estimated as a result of
World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
.
* ''Mathematics:'' 73,939,133 is the largest
right-truncatable prime.
108
(;
long and short scales
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
:
one hundred million)
* ''Demography:'' The population of the
Philippines
The Philippines (; fil, Pilipinas, links=no), officially the Republic of the Philippines ( fil, Republika ng Pilipinas, links=no),
* bik, Republika kan Filipinas
* ceb, Republika sa Pilipinas
* cbk, República de Filipinas
* hil, Republ ...
was 100,981,437 in 2015.
* ''Internet – YouTube:'' The number of
YouTube
YouTube is a global online video platform, online video sharing and social media, social media platform headquartered in San Bruno, California. It was launched on February 14, 2005, by Steve Chen, Chad Hurley, and Jawed Karim. It is owned by ...
channels is estimated to be 113.9 million.
* ''Info – Books:'' The
British Library
The British Library is the national library of the United Kingdom and is one of the largest libraries in the world. It is estimated to contain between 170 and 200 million items from many countries. As a legal deposit library, the British ...
claims that it holds over 150 million items. The
Library of Congress
The Library of Congress (LOC) is the research library that officially serves the United States Congress and is the ''de facto'' national library of the United States. It is the oldest federal cultural institution in the country. The library is ...
claims that it holds approximately 148 million items. See ''
The Gutenberg Galaxy
''The Gutenberg Galaxy: The Making of Typographic Man'' is a 1962 book by Marshall McLuhan, in which the author analyzes the effects of mass media, especially the printing press, on European culture and human consciousness. It popularized the te ...
''.
* ''Video gaming:'' , approximately 200 million copies of ''
Minecraft
''Minecraft'' is a sandbox game developed by Mojang Studios. The game was created by Markus "Notch" Persson in the Java programming language. Following several early private testing versions, it was first made public in May 2009 before being ...
'' (the most-sold video game in history) have been sold.
* ''Mathematics:'' More than 215,000,000
mathematical constant
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. Cons ...
s are collected on the
Plouffe's Inverter .
* ''Mathematics:'' 275,305,224 is the number of 5×5 normal
magic square
In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number ...
s, not counting rotations and reflections. This result was found in 1973 by
Richard Schroeppel
Richard C. Schroeppel (born 1948) is an American mathematician born in Illinois. His research has included magic squares, elliptic curves, and cryptography. In 1964, Schroeppel won first place in the United States among over 225,000 high school st ...
.
*''Demography:'' The population of the United States was 328,239,523 in 2019.
* ''Mathematics:'' 358,833,097
stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in ''n'' dimensions to form a new figure. Starting with an original figure, the process extends specific el ...
s of the
rhombic triacontahedron
In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Cata ...
.
* ''Info – Web sites:'' , the
Netcraft
Netcraft is an Internet services company based in Bath, Somerset, England. The company provides cybercrime disruption services across a range of industries.
History
Netcraft was founded by Mike Prettejohn. The company provides web server and ...
web survey estimates that there are 525,998,433 (526 million) distinct
website
A website (also written as a web site) is a collection of web pages and related content that is identified by a common domain name and published on at least one web server. Examples of notable websites are Google Search, Google, Facebook, Amaz ...
s.
* ''Astronomy – Cataloged stars:'' The
Guide Star Catalog II
The Guide Star Catalog (GSC), also known as the ''Hubble Space Telescope, Guide Catalog'' (''HSTGC''), is a star catalog compiled to support the Hubble Space Telescope with targeting off-axis stars. GSC-I contained approximately 20,000,000 stars w ...
has entries on 998,402,801 distinct
astronomical object
An astronomical object, celestial object, stellar object or heavenly body is a naturally occurring physical entity, association, or structure that exists in the observable universe. In astronomy, the terms ''object'' and ''body'' are often us ...
s.
109
![World population v3](https://upload.wikimedia.org/wikipedia/commons/4/48/World_population_v3.svg)
(; 1000
3;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
billion
Billion is a word for a large number, and it has two distinct definitions:
*1,000,000,000, i.e. one thousand million, or (ten to the ninth power), as defined on the short scale. This is its only current meaning in English.
* 1,000,000,000,000, i.e ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one thousand million, or one
milliard
1,000,000,000 (one billion, short scale; one thousand million or one milliard, one yard, long scale) is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
In standa ...
)
ISO:
giga-
Giga ( or ) is a unit prefix in the metric system denoting a factor of a short-scale billion or long-scale milliard (109 or ). It has the symbol G.
''Giga'' is derived from the Greek word (''gígas''), meaning "giant". The ''Oxford English Dic ...
(G)
* ''Demography:'' The population of
Africa
Africa is the world's second-largest and second-most populous continent, after Asia in both cases. At about 30.3 million km2 (11.7 million square miles) including adjacent islands, it covers 6% of Earth's total surface area ...
reached 1,000,000,000 sometime in 2009.
* ''Demographics – India:'' 1,381,000,000 – approximate population of
India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...
in 2020.
*''Transportation – Cars:'' , there are approximately 1.4 billion
car
A car or automobile is a motor vehicle with wheels. Most definitions of ''cars'' say that they run primarily on roads, seat one to eight people, have four wheels, and mainly transport people instead of goods.
The year 1886 is regarded as ...
s in the world, corresponding to around 18% of the human population.
* ''Demographics – China:'' 1,439,000,000 – approximate population of the
People's Republic of China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and ...
in 2020.
*''Internet – Google:'' There are more than 1,500,000,000 active Gmail users globally.
* ''Internet:'' Approximately 1,500,000,000 active users were on
Facebook
Facebook is an online social media and social networking service owned by American company Meta Platforms. Founded in 2004 by Mark Zuckerberg with fellow Harvard College students and roommates Eduardo Saverin, Andrew McCollum, Dustin M ...
as of October 2015.
* ''Computing – Computational limit of a 32-bit
CPU'':
2,147,483,647
The number 2,147,483,647 is the eighth Mersenne prime, equal to 231 − 1. It is one of only four known double Mersenne primes.
The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel ...
is equal to 2
31−1, and as such is the largest number which can fit into a signed (
two's complement
Two's complement is a mathematical operation to reversibly convert a positive binary number into a negative binary number with equivalent (but negative) value, using the binary digit with the greatest place value (the leftmost bit in big- endian ...
) 32-bit integer on a computer.
* ''Computing – UTF-8:'' 2,147,483,648 (2
31) possible code points (U+0000 - U+7FFFFFFF) in the pre-2003 version of
UTF-8
UTF-8 is a variable-width encoding, variable-length character encoding used for electronic communication. Defined by the Unicode Standard, the name is derived from ''Unicode'' (or ''Universal Coded Character Set'') ''Transformation Format 8-bit'' ...
(including five- and six-byte sequences), before the UTF-8 code space was limited to the much smaller set of values encodable in
UTF-16
UTF-16 (16-bit computing, 16-bit Unicode Transformation Format) is a character encoding capable of encoding all 1,112,064 valid code points of Unicode (in fact this number of code points is dictated by the design of UTF-16). The encoding is variab ...
.
* ''Biology – base pairs in the genome:'' approximately 3.3
base pair
A base pair (bp) is a fundamental unit of double-stranded nucleic acids consisting of two nucleobases bound to each other by hydrogen bonds. They form the building blocks of the DNA double helix and contribute to the folded structure of both DNA ...
s in the human
genome
In the fields of molecular biology and genetics, a genome is all the genetic information of an organism. It consists of nucleotide sequences of DNA (or RNA in RNA viruses). The nuclear genome includes protein-coding genes and non-coding ge ...
.
* ''Linguistics'': 3,400,000,000 – the total number of speakers of
Indo-European languages
The Indo-European languages are a language family native to the overwhelming majority of Europe, the Iranian plateau, and the northern Indian subcontinent. Some European languages of this family, English, French, Portuguese, Russian, Dutc ...
, of which 2,400,000,000 are native speakers; the other 1,000,000,000 speak Indo-European languages as a second language.
* ''Mathematics'' and ''computing'':
4,294,967,295
The number 4,294,967,295 is an integer equal to 2 − 1. It is a perfect totient number. It follows 4,294,967,294 and precedes 4,294,967,296. It has a factorization of 3 \cdot 5 \cdot 17 \cdot 257 \cdot 65537.
It is the highest unsigned ...
(2
32 − 1), the product of the five known Fermat primes and the maximum value for a 32-bit
unsigned integer
In computer science, an integer is a datum of integral data type, a data type that represents some range of mathematical integers. Integral data types may be of different sizes and may or may not be allowed to contain negative values. Integers are ...
in computing.
* ''Computing –
IPv4
Internet Protocol version 4 (IPv4) is the fourth version of the Internet Protocol (IP). It is one of the core protocols of standards-based internetworking methods in the Internet and other packet-switched networks. IPv4 was the first version de ...
:'' 4,294,967,296 (2
32) possible unique
IP address
An Internet Protocol address (IP address) is a numerical label such as that is connected to a computer network that uses the Internet Protocol for communication.. Updated by . An IP address serves two main functions: network interface ident ...
es.
* ''Computing:'' 4,294,967,296 – the number of bytes in 4
gibibyte
The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable unit ...
s; in computation, 32-bit computers can directly access 2
32 units (bytes) of address space, which leads directly to the 4-gigabyte limit on main memory.
* ''Mathematics:'' 4,294,967,297 is a
Fermat number
In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form
:F_ = 2^ + 1,
where ''n'' is a non-negative integer. The first few Fermat numbers are:
: 3, 5, 17, 257, 65537, 4294967 ...
and
semiprime
In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers.
Because there are infinitely many prime nu ...
. It is the smallest number of the form
which is not a
prime number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
.
* ''Demographics –
world population
In demographics, the world population is the total number of humans currently living. It was estimated by the United Nations to have exceeded 8 billion in November 2022. It took over 200,000 years of human prehistory and history for the ...
:'' 8,000,000,000 – Estimated population for the world as of November 2022.
1010
(;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: ten
billion
Billion is a word for a large number, and it has two distinct definitions:
*1,000,000,000, i.e. one thousand million, or (ten to the ninth power), as defined on the short scale. This is its only current meaning in English.
* 1,000,000,000,000, i.e ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: ten thousand million, or ten
milliard
1,000,000,000 (one billion, short scale; one thousand million or one milliard, one yard, long scale) is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
In standa ...
)
* ''Biology – bacteria in the human body:'' There are roughly 10
10 bacteria
Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were among ...
in the
human mouth
In human anatomy, the mouth is the first portion of the alimentary canal that receives food and produces saliva. The oral mucosa is the mucous membrane epithelium lining the inside of the mouth.
In addition to its primary role as the begin ...
.
* ''Computing – web pages:'' approximately 5.6
web pages indexed by
Google
Google LLC () is an American multinational technology company focusing on search engine technology, online advertising, cloud computing, computer software, quantum computing, e-commerce, artificial intelligence, and consumer electronics. ...
as of 2010.
1011
(;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one hundred
billion
Billion is a word for a large number, and it has two distinct definitions:
*1,000,000,000, i.e. one thousand million, or (ten to the ninth power), as defined on the short scale. This is its only current meaning in English.
* 1,000,000,000,000, i.e ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: hundred thousand million, or hundred
milliard
1,000,000,000 (one billion, short scale; one thousand million or one milliard, one yard, long scale) is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
In standa ...
)
* ''Astronomy:'' There are 100 billion planets located in the Milky Way.
* ''Biology – Neurons in the brain:'' approximately (1±0.2) × 10
11 neuron
A neuron, neurone, or nerve cell is an electrically excitable cell that communicates with other cells via specialized connections called synapses. The neuron is the main component of nervous tissue in all animals except sponges and placozoa. N ...
s in the
human brain
The human brain is the central organ of the human nervous system, and with the spinal cord makes up the central nervous system. The brain consists of the cerebrum, the brainstem and the cerebellum. It controls most of the activities of the ...
.
* ''Medicine:'' The United States
Food and Drug Administration
The United States Food and Drug Administration (FDA or US FDA) is a List of United States federal agencies, federal agency of the United States Department of Health and Human Services, Department of Health and Human Services. The FDA is respon ...
requires a minimum of 3 x 10
11 (300 billion) platelets per
apheresis
Apheresis ( ἀφαίρεσις (''aphairesis'', "a taking away")) is a medical technology in which the blood of a person is passed through an apparatus that separates out one particular constituent and returns the remainder to the circulation ...
unit.
* ''
Paleodemography
Prehistoric demography, palaeodemography or archaeological demography is the study of human and hominid demography in prehistory.
More specifically, palaeodemography looks at the changes in pre-modern populations in order to determine something a ...
–
Number of humans that have ever lived
This article lists current estimates of the world population in history. In summary, estimates for the progression of world population since the Late Middle Ages are in the following ranges:
Estimates for pre-modern times are necessarily fraugh ...
'': approximately (1.2±0.3) × 10
11 live births of
anatomically modern humans
Early modern human (EMH) or anatomically modern human (AMH) are terms used to distinguish ''Homo sapiens'' (the only extant Hominina species) that are anatomically consistent with the range of phenotypes seen in contemporary humans from extin ...
since the beginning of the
Upper Paleolithic
The Upper Paleolithic (or Upper Palaeolithic) is the third and last subdivision of the Paleolithic or Old Stone Age. Very broadly, it dates to between 50,000 and 12,000 years ago (the beginning of the Holocene), according to some theories coin ...
.
* ''Astronomy – stars in our galaxy:'' of the order of 10
11 star
A star is an astronomical object comprising a luminous spheroid of plasma (physics), plasma held together by its gravity. The List of nearest stars and brown dwarfs, nearest star to Earth is the Sun. Many other stars are visible to the naked ...
s in the
Milky Way galaxy
The Milky Way is the galaxy that includes our Solar System, with the name describing the galaxy's appearance from Earth: a hazy band of light seen in the night sky formed from stars that cannot be individually distinguished by the naked eye. ...
.
1012
![Andromeda Galaxy (with h-alpha)](https://upload.wikimedia.org/wikipedia/commons/9/98/Andromeda_Galaxy_%28with_h-alpha%29.jpg)
(; 1000
4;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one trillion;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one billion)
ISO:
tera-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(T)
* ''Astronomy:''
Andromeda Galaxy
The Andromeda Galaxy (IPA: ), also known as Messier 31, M31, or NGC 224 and originally the Andromeda Nebula, is a barred spiral galaxy with the diameter of about approximately from Earth and the nearest large galaxy to the Milky Way. The gala ...
, which is part of the same
Local Group
The Local Group is the galaxy group that includes the Milky Way.
It has a total diameter of roughly , and a total mass of the order of .
It consists of two collections of galaxies in a "dumbbell" shape: the Milky Way and its satellites form ...
as
our galaxy, contains about 10
12 stars.
* ''Biology – Bacteria on the human body:'' The surface of the human body houses roughly 10
12 bacteria
Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were among ...
.
* ''Astronomy – Galaxies'': A 2016 estimate says there are 2 × 10
12 galaxies
A galaxy is a system of stars, stellar remnants, interstellar gas, dust, dark matter, bound together by gravity. The word is derived from the Greek ' (), literally 'milky', a reference to the Milky Way galaxy that contains the Solar System. ...
in the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
.
* ''Biology – Blood cells in the human body:'' The average human body has 2.5 × 10
12 red blood cells.
* ''Biology:'' An estimate says there were 3.04 × 10
12 tree
In botany, a tree is a perennial plant with an elongated stem, or trunk, usually supporting branches and leaves. In some usages, the definition of a tree may be narrower, including only woody plants with secondary growth, plants that are ...
s on Earth in 2015.
* ''Marine biology'': 3,500,000,000,000 (3.5 × 10
12) – estimated population of
fish
Fish are aquatic, craniate, gill-bearing animals that lack limbs with digits. Included in this definition are the living hagfish, lampreys, and cartilaginous and bony fish as well as various extinct related groups. Approximately 95% of li ...
in the ocean.
![IC 1101 in Abell 2029 (hst 06228 03 wfpc2 f702w pc)](https://upload.wikimedia.org/wikipedia/commons/f/fd/IC_1101_in_Abell_2029_%28hst_06228_03_wfpc2_f702w_pc%29.jpg)
* ''Mathematics'': 7,625,597,484,987 – a number that often appears when dealing with
powers of 3. It can be expressed as
,
,
,
and
33 or when using
Knuth's up-arrow notation
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976.
In his 1947 paper, R. L. Goodstein introduced the specific sequence of operations that are now called ''hyperoperati ...
it can be expressed as
and
.
* ''Astronomy:'' A
light-year
A light-year, alternatively spelled light year, is a large unit of length used to express astronomical distances and is equivalent to about 9.46 trillion kilometers (), or 5.88 trillion miles ().One trillion here is taken to be 1012 ...
, as defined by the International Astronomical Union (IAU), is the distance that light travels in a vacuum in one year, which is equivalent to about 9.46
trillion
''Trillion'' is a number with two distinct definitions:
* 1,000,000,000,000, i.e. one million million, or (ten to the twelfth power), as defined on the short scale. This is now the meaning in both American and British English.
* 1,000,000,000,0 ...
kilometer
The kilometre ( SI symbol: km; or ), spelt kilometer in American English, is a unit of length in the International System of Units (SI), equal to one thousand metres (kilo- being the SI prefix for ). It is now the measurement unit used for ex ...
s ().
* ''Mathematics:'' 10
13 – The approximate number of known non-trivial zeros of the
Riemann zeta function
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots for \operatorname(s) > ...
.
* ''Mathematics – Known digits of
π:'' , the number of known digits of π is 31,415,926,535,897 (the integer part of π).
* ''Biology'' – approximately 10
14 synapse
In the nervous system, a synapse is a structure that permits a neuron (or nerve cell) to pass an electrical or chemical signal to another neuron or to the target effector cell.
Synapses are essential to the transmission of nervous impulses from ...
s in the human brain.
* ''Astronomy:''
IC 1101
IC 1101 is a class S0 supergiant ( cD) lenticular galaxy at the center of the Abell 2029 galaxy cluster. It has an isophotal diameter at about . It possesses a diffuse core which is the largest known core of any galaxy to date, and also hosts a ...
, a supergiant
elliptical galaxy
An elliptical galaxy is a type of galaxy with an approximately ellipsoidal shape and a smooth, nearly featureless image. They are one of the four main classes of galaxy described by Edwin Hubble in his Hubble sequence and 1936 work ''The R ...
located inside the
Abell 2029 cluster, is estimated to have approximately 100 trillion (10
14) stars inside the galaxy, making it the largest known galaxy in the
universe
The universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the universe. Acc ...
.
* ''Biology – Cells in the human body:'' The
human body
The human body is the structure of a Human, human being. It is composed of many different types of Cell (biology), cells that together create Tissue (biology), tissues and subsequently organ systems. They ensure homeostasis and the life, viabi ...
consists of roughly 10
14 cells, of which only 10
13 are human.
The remaining 90% non-human cells (though much smaller and constituting much less mass) are
bacteria
Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were among ...
, which mostly reside in the gastrointestinal tract, although the skin is also covered in bacteria.
* ''Cryptography:'' 150,738,274,937,250 configurations of the plug-board of the
Enigma machine used by the Germans in WW2 to encode and decode messages by cipher.
* ''Computing –
MAC-48
A media access control address (MAC address) is a unique identifier assigned to a network interface controller (NIC) for use as a network address in communications within a network segment. This use is common in most IEEE 802 networking techno ...
:'' 281,474,976,710,656 (2
48) possible unique
physical address
In computing, a physical address (also real address, or binary address), is a memory address that is represented in the form of a binary number on the address bus circuitry in order to enable the data bus to access a ''particular'' storage cell ...
es.
* ''Mathematics:'' 953,467,954,114,363 is the largest known
Motzkin prime.
1015
![Ants eating01](https://upload.wikimedia.org/wikipedia/commons/3/39/Ants_eating01.jpg)
(; 1000
5;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
quadrillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one thousand billion, or one billiard)
ISO:
peta-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(P)
* ''Biology – Insects'': 1,000,000,000,000,000 to 10,000,000,000,000,000 (10
15 to 10
16) – The estimated total number of
ant
Ants are eusocial insects of the family Formicidae and, along with the related wasps and bees, belong to the order Hymenoptera. Ants evolved from vespoid wasp ancestors in the Cretaceous period. More than 13,800 of an estimated total of 22 ...
s on Earth alive at any one time (their
biomass
Biomass is plant-based material used as a fuel for heat or electricity production. It can be in the form of wood, wood residues, energy crops, agricultural residues, and waste from industry, farms, and households. Some people use the terms bi ...
is approximately equal to the total biomass of the
human species
Humans (''Homo sapiens'') are the most abundant and widespread species of primate, characterized by bipedalism and exceptional cognitive skills due to a large and complex brain. This has enabled the development of advanced tools, culture, an ...
).
* ''Computing:'' 9,007,199,254,740,992 (2
53) – number until which all integer values can exactly be represented in IEEE
double precision floating-point format
Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
Flo ...
.
* ''Mathematics:'' 48,988,659,276,962,496 is the fifth
taxicab number
In mathematics, the ''n''th taxicab number, typically denoted Ta(''n'') or Taxicab(''n''), also called the ''n''th Hardy–Ramanujan number, is defined as the smallest integer that can be expressed as a sum of two ''positive'' integer cubes in ...
.
* ''Science Fiction'': In
Isaac Asimov
yi, יצחק אזימאװ
, birth_date =
, birth_place = Petrovichi, Russian SFSR
, spouse =
, relatives =
, children = 2
, death_date =
, death_place = Manhattan, New York City, U.S.
, nationality = Russian (1920–1922)Soviet (192 ...
's
Galactic Empire
Galactic empires are a common trope used in science fantasy and science fiction, particularly in works known as 'space operas'. Many authors have either used a galaxy-spanning empire as background or written about the growth and/or decline of s ...
, in what we call 22,500 CE, there are 25,000,000 different inhabited planets in the Galactic Empire, all inhabited by
human
Humans (''Homo sapiens'') are the most abundant and widespread species of primate, characterized by bipedalism and exceptional cognitive skills due to a large and complex brain. This has enabled the development of advanced tools, culture, ...
s in Asimov's "human galaxy" scenario, each with an average population of 2,000,000,000, thus yielding a total Galactic Empire population of approximately 50,000,000,000,000,000.
* ''Science Fiction'': There are approximately 10
17 sentient beings in the ''
Star Wars
''Star Wars'' is an American epic film, epic space opera multimedia franchise created by George Lucas, which began with the Star Wars (film), eponymous 1977 film and quickly became a worldwide popular culture, pop-culture Cultural impact of S ...
'' galaxy.
* ''Cryptography:'' There are 2
56 = 72,057,594,037,927,936 different possible keys in the obsolete 56-bit
DES
Des is a masculine given name, mostly a short form (hypocorism) of Desmond. People named Des include:
People
* Des Buckingham, English football manager
* Des Corcoran, (1928–2004), Australian politician
* Des Dillon (disambiguation), sever ...
symmetric cipher.
1018
![Scrumbled Rubik's Cube](https://upload.wikimedia.org/wikipedia/commons/b/b0/Scrumbled_Rubik%27s_Cube.jpg)
(; 1000
6;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
quintillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one trillion)
ISO:
exa-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(E)
* ''Mathematics:''
Goldbach's conjecture
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers.
The conjecture has been shown to hold ...
has been
verified for all ''n'' ≤ 4 by a project which computed all prime numbers up to that limit.
* ''Computing – Manufacturing:'' An estimated 6
transistor
upright=1.4, gate (G), body (B), source (S) and drain (D) terminals. The gate is separated from the body by an insulating layer (pink).
A transistor is a semiconductor device used to Electronic amplifier, amplify or electronic switch, switch e ...
s were produced worldwide in 2008.
* ''Computing – Computational limit of a 64-bit
CPU'':
9,223,372,036,854,775,807
A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent.
In a context where only integers are considered, is restricted to non-negative ...
(about 9.22) is equal to 2
63−1, and as such is the largest number which can fit into a signed (
two's complement
Two's complement is a mathematical operation to reversibly convert a positive binary number into a negative binary number with equivalent (but negative) value, using the binary digit with the greatest place value (the leftmost bit in big- endian ...
) 64-bit integer on a computer.
* ''Mathematics –
NCAA basketball tournament:'' There are 9,223,372,036,854,775,808 (2
63) possible ways to enter the
bracket
A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'r ...
.
* ''Mathematics –
Bases:'' 9,439,829,801,208,141,318 (≈9.44) is the 10th and (by conjecture) largest number with more than one digit that can be written from
base 2 to base 18 using only the digits 0 to 9, meaning the digits for 10 to 17 are not needed in bases above 10.
* ''Biology – Insects:'' It has been estimated that the
insect
Insects (from Latin ') are pancrustacean hexapod invertebrates of the class Insecta. They are the largest group within the arthropod phylum. Insects have a chitinous exoskeleton, a three-part body ( head, thorax and abdomen), three pairs ...
population of the Earth is about 10
19.
* ''Mathematics – Answer to the
wheat and chessboard problem
The wheat and chessboard problem (sometimes expressed in terms of rice grains) is a mathematical problem expressed in word problem (mathematics education), textual form as:
The problem may be solved using simple addition. With 64 squares on a ...
:'' When doubling the grains of wheat on each successive square of a
chessboard
A chessboard is a used to play chess. It consists of 64 squares, 8 rows by 8 columns, on which the chess pieces are placed. It is square in shape and uses two colours of squares, one light and one dark, in a chequered pattern. During play, the bo ...
, beginning with one grain of wheat on the first square, the final number of grains of wheat on all 64 squares of the chessboard when added up is 2
64−1 = 18,446,744,073,709,551,615 (≈1.84).
* ''Mathematics – Legends:'' The
Tower of Brahma
The Tower of Hanoi (also called The problem of Benares Temple or Tower of Brahma or Lucas' Tower and sometimes pluralized as Towers, or simply pyramid puzzle) is a mathematical game or puzzle consisting of three rods and a number of disks of va ...
legend
A legend is a Folklore genre, genre of folklore that consists of a narrative featuring human actions, believed or perceived, both by teller and listeners, to have taken place in human history. Narratives in this genre may demonstrate human valu ...
tells about a
Hindu
Hindus (; ) are people who religiously adhere to Hinduism.Jeffery D. Long (2007), A Vision for Hinduism, IB Tauris, , pages 35–37 Historically, the term has also been used as a geographical, cultural, and later religious identifier for ...
temple containing a large room with three posts, on one of which are 64
gold
Gold is a chemical element with the symbol Au (from la, aurum) and atomic number 79. This makes it one of the higher atomic number elements that occur naturally. It is a bright, slightly orange-yellow, dense, soft, malleable, and ductile met ...
en discs, and the object of the
mathematical game
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. Often, such games have simple rules and match procedures, such as Tic-tac-toe and Dots and Boxes. Generally, mathematical games ne ...
is for the
Brahmins
Brahmin (; sa, ब्राह्मण, brāhmaṇa) is a varna as well as a caste within Hindu society. The Brahmins are designated as the priestly class as they serve as priests (purohit, pandit, or pujari) and religious teachers (guru o ...
in this temple to move all of the discs to another pole so that they are in the same order, never placing a larger disc above a smaller disc, moving only one at a time. Using the simplest algorithm for moving the disks, it would take 2
64−1 = 18,446,744,073,709,551,615 (≈1.84) turns to complete the task (the same number as the wheat and chessboard problem above).
* ''Computing –
IPv6
Internet Protocol version 6 (IPv6) is the most recent version of the Internet Protocol (IP), the communication protocol, communications protocol that provides an identification and location system for computers on networks and routes traffic ...
:'' 18,446,744,073,709,551,616 (2
64; ≈1.84) possible unique /64
subnetwork
A subnetwork or subnet is a logical subdivision of an IP network. Updated by RFC 6918. The practice of dividing a network into two or more networks is called subnetting.
Computers that belong to the same subnet are addressed with an identical ...
s.
* ''Mathematics – Rubik's Cube:'' There are 43,252,003,274,489,856,000 (≈4.33) different positions of a 3×3×3
Rubik's Cube
The Rubik's Cube is a Three-dimensional space, 3-D combination puzzle originally invented in 1974 by Hungarians, Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, the puzzle was licensed by Rubik t ...
.
* ''
Password strength
Password strength is a measure of the effectiveness of a password against guessing or brute-force attacks. In its usual form, it estimates how many trials an attacker who does not have direct access to the password would need, on average, to gues ...
:'' Usage of the 95-character set found on standard computer keyboards for a 10-character
password
A password, sometimes called a passcode (for example in Apple devices), is secret data, typically a string of characters, usually used to confirm a user's identity. Traditionally, passwords were expected to be memorized, but the large number of ...
yields a computationally
intractable 59,873,693,923,837,890,625 (95
10, approximately 5.99) permutations.
* ''Economics:''
Hyperinflation in Zimbabwe
Hyperinflation in Zimbabwe is an ongoing period of currency instability in Zimbabwe that, using Cagan's definition of hyperinflation, began in February 2007. During the height of inflation from 2008 to 2009, it was difficult to measure Zimbab ...
estimated in February 2009 by some economists at 10 sextillion percent, or a factor of 10
20.
1021
![Sudoku Puzzle by L2G-20050714 solution standardized layout](https://upload.wikimedia.org/wikipedia/commons/1/12/Sudoku_Puzzle_by_L2G-20050714_solution_standardized_layout.svg)
(; 1000
7;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
sextillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one thousand trillion, or one
trilliard
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
)
ISO:
zetta-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(Z)
* ''Geo – Grains of sand:'' All the world's beaches combined have been estimated to hold roughly 10
21 grains of
sand
Sand is a granular material composed of finely divided mineral particles. Sand has various compositions but is defined by its grain size. Sand grains are smaller than gravel and coarser than silt. Sand can also refer to a textural class of s ...
.
* ''Computing – Manufacturing:'' Intel predicted that there would be 1.2
transistor
upright=1.4, gate (G), body (B), source (S) and drain (D) terminals. The gate is separated from the body by an insulating layer (pink).
A transistor is a semiconductor device used to Electronic amplifier, amplify or electronic switch, switch e ...
s in the world by 2015 and Forbes estimated that 2.9 transistors had been shipped up to 2014.
* ''Mathematics – Sudoku:'' There are 6,670,903,752,021,072,936,960 (≈6.7) 9×9
sudoku
Sudoku (; ja, 数独, sūdoku, digit-single; originally called Number Place) is a logic-based, combinatorial number-placement puzzle. In classic Sudoku, the objective is to fill a 9 × 9 grid with digits so that each column, each row ...
grids.
* ''Astronomy – Stars:'' 70 sextillion = 7, the estimated number of
star
A star is an astronomical object comprising a luminous spheroid of plasma (physics), plasma held together by its gravity. The List of nearest stars and brown dwarfs, nearest star to Earth is the Sun. Many other stars are visible to the naked ...
s within range of
telescope
A telescope is a device used to observe distant objects by their emission, absorption, or reflection of electromagnetic radiation. Originally meaning only an optical instrument using lenses, curved mirrors, or a combination of both to observe ...
s (as of 2003).
* ''Astronomy – Stars:'' in the range of 10
23 to 10
24 stars in the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
.
* ''Mathematics:'' 146,361,946,186,458,562,560,000 (≈1.5) is the fifth
unitary perfect number
A unitary perfect number is an integer which is the sum of its positive proper unitary divisors, not including the number itself (a divisor ''d'' of a number ''n'' is a unitary divisor if ''d'' and ''n''/''d'' share no common factors). Some perfect ...
.
* ''Mathematics:'' 357,686,312,646,216,567,629,137 (≈3.6) is the largest
left-truncatable prime.
* ''Chemistry – Physics:'' The
Avogadro constant
The Avogadro constant, commonly denoted or , is the proportionality factor that relates the number of constituent particles (usually molecules, atoms or ions) in a sample with the amount of substance in that sample. It is an SI defining con ...
() is the number of constituents (e.g. atoms or molecules) in one
mole
Mole (or Molé) may refer to:
Animals
* Mole (animal) or "true mole", mammals in the family Talpidae, found in Eurasia and North America
* Golden moles, southern African mammals in the family Chrysochloridae, similar to but unrelated to Talpida ...
of a substance, defined for convenience as expressing the order of magnitude separating the molecular from the
macroscopic scale
The macroscopic scale is the length scale on which objects or phenomena are large enough to be visible with the naked eye, without magnifying optical instruments. It is the opposite of microscopic.
Overview
When applied to physical phenomena an ...
.
1024
(; 1000
8;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
septillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one quadrillion)
ISO:
yotta-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(Y)
* ''Mathematics:'' 2,833,419,889,721,787,128,217,599 (≈2.8) is the fifth
Woodall prime
In number theory, a Woodall number (''W'n'') is any natural number of the form
:W_n = n \cdot 2^n - 1
for some natural number ''n''. The first few Woodall numbers are:
:1, 7, 23, 63, 159, 383, 895, … .
History
Woodall numbers were first st ...
.
* ''Mathematics:'' 3,608,528,850,368,400,786,036,725 (≈3.6) is the largest
polydivisible number
In mathematics a polydivisible number (or magic number) is a number in a given number base with digits ''abcde...'' that has the following properties:
# Its first digit ''a'' is not 0.
# The number formed by its first two digits ''ab'' is a mul ...
.
* ''Mathematics:'' 2
86 = 77,371,252,455,336,267,181,195,264 is the largest known
power of two
A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent.
In a context where only integers are considered, is restricted to non-negative ...
not containing the digit '0' in its decimal representation.
1027
(; 1000
9;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
octillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one thousand quadrillion, or one quadrilliard)
ISO:
ronna-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(R)
* ''Biology – Atoms in the human body:'' the average human body contains roughly 7
atom
Every atom is composed of a nucleus and one or more electrons bound to the nucleus. The nucleus is made of one or more protons and a number of neutrons. Only the most common variety of hydrogen has no neutrons.
Every solid, liquid, gas, and ...
s.
* ''Mathematics – Poker:'' the number of unique combinations of hands and shared cards in a 10-player game of
Texas hold 'em
Texas hold 'em (also known as Texas holdem, hold 'em, and holdem) is one of the most popular variants of the card game of poker. Two cards, known as hole cards, are dealt face down to each player, and then five Community card poker, communit ...
is approximately 2.117.
1030
![EscherichiaColi NIAID](https://upload.wikimedia.org/wikipedia/commons/3/32/EscherichiaColi_NIAID.jpg)
(; 1000
10;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
nonillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one
quintillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
)
ISO:
quetta-
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(Q)
* ''Biology – Bacterial cells on Earth:'' The number of
bacteria
Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were among ...
l cells on
Earth
Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surfa ...
is estimated at 5,000,000,000,000,000,000,000,000,000,000, or 5 × 10
30.
* ''Mathematics:'' 5,000,000,000,000,000,000,000,000,000,027 is the largest
quasi-minimal prime.
* ''Mathematics:'' The number of
partitions
Partition may refer to:
Computing Hardware
* Disk partitioning, the division of a hard disk drive
* Memory partition, a subdivision of a computer's memory, usually for use by a single job
Software
* Partition (database), the division of a ...
of 1000 is 24,061,467,864,032,622,473,692,149,727,991.
* ''Mathematics:'' 3
68 = 278,128,389,443,693,511,257,285,776,231,761 is the largest known
power of three
In mathematics, a power of three is a number of the form where is an integer – that is, the result of exponentiation with number three as the base and integer as the exponent.
Applications
The powers of three give the place values in ...
not containing the digit '0' in its decimal representation.
* ''Mathematics:'' 2
108 = 324,518,553,658,426,726,783,156,020,576,256 is the largest known
power of two
A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent.
In a context where only integers are considered, is restricted to non-negative ...
not containing the digit '9' in its decimal representation.
1033
(; 1000
11;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
decillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one thousand quintillion, or one quintilliard)
* ''Mathematics – Alexander's Star:'' There are 72,431,714,252,715,638,411,621,302,272,000,000 (about 7.24) different positions of
Alexander's Star
Alexander's Star is a puzzle similar to the Rubik's Cube, in the shape of a great dodecahedron.
History
Alexander's Star was invented by Adam Alexander, an American mathematician, in 1982. It was patented on 26 March 1985, with US patent n ...
.
1036
(; 1000
12;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
undecillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one
sextillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
)
* ''Physics'': ''
ke e2 /
Gm2'', the ratio of the
electromagnetic
In physics, electromagnetism is an interaction that occurs between particles with electric charge. It is the second-strongest of the four fundamental interactions, after the strong force, and it is the dominant force in the interactions of a ...
to the
gravitational
In physics, gravity () is a fundamental interaction which causes mutual attraction between all things with mass or energy. Gravity is, by far, the weakest of the four fundamental interactions, approximately 1038 times weaker than the strong ...
force
In physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a p ...
s between two
proton
A proton is a stable subatomic particle, symbol , H+, or 1H+ with a positive electric charge of +1 ''e'' elementary charge. Its mass is slightly less than that of a neutron and 1,836 times the mass of an electron (the proton–electron mass ...
s, is roughly 10
36.
* ''Mathematics:'' 2
27-1-1 = 170,141,183,460,469,231,731,687,303,715,884,105,727 (≈1.7) is the largest known
double Mersenne prime
In mathematics, a double Mersenne number is a Mersenne number of the form
:M_ = 2^-1
where ''p'' is prime.
Examples
The first four terms of the sequence of double Mersenne numbers areChris Caldwell''Mersenne Primes: History, Theorems and Li ...
.
* ''Computing:'' 2
128 = 340,282,366,920,938,463,463,374,607,431,768,211,456 (≈3.40282367), the theoretical maximum number of Internet addresses that can be allocated under the
IPv6
Internet Protocol version 6 (IPv6) is the most recent version of the Internet Protocol (IP), the communication protocol, communications protocol that provides an identification and location system for computers on networks and routes traffic ...
addressing system, one more than the largest value that can be represented by a single-precision IEEE floating-point value, the total number of different
Universally Unique Identifier
A universally unique identifier (UUID) is a 128-bit nominal number, label used for information in computer systems. The term globally unique identifier (GUID) is also used.
When generated according to the standard methods, UUIDs are, for practic ...
s (UUIDs) that can be generated.
* ''Cryptography:'' 2
128 = 340,282,366,920,938,463,463,374,607,431,768,211,456 (≈3.40282367), the total number of different possible keys in the
AES 128-bit
key space (symmetric cipher).
1039
(; 1000
13;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
duodecillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one thousand sextillion, or one sextilliard)
* ''Cosmology:'' The
Eddington–Dirac number
The Dirac large numbers hypothesis (LNH) is an observation made by Paul Dirac in 1937 relating ratios of size scales in the Universe to that of force scales. The ratios constitute very large, dimensionless numbers: some 40 orders of magnitude in ...
is roughly 10
40.
* ''Mathematics:''
97# × 2
5 × 3
3 × 5 × 7 = 69,720,375,229,712,477,164,533,808,935,312,303,556,800 (≈6.97) is the
least common multiple
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers ''a'' and ''b'', usually denoted by lcm(''a'', ''b''), is the smallest positive integer that is divisible by bot ...
of every integer from 1 to 100.
1042 to 10100
(; 1000
14;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: one
tredecillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: one
septillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
)
* ''Mathematics:'' 141×2
141+1 = 393,050,634,124,102,232,869,567,034,555,427,371,542,904,833 (≈3.93) is the second
Cullen prime Cullen may refer to:
Places Canada
*Cullen, Saskatchewan, a former hamlet in Benson No. 35 Rural Municipality
Ireland
*Cullen, County Cork, a village near Boherbue, County Cork
*Cullen, County Tipperary, a small village in County Tipperary
Scotl ...
.
* ''Mathematics:'' There are 7,401,196,841,564,901,869,874,093,974,498,574,336,000,000,000 (≈7.4) possible permutations for the
Rubik's Revenge
The 4x4 Rubik's Cube (also known as the Rubik's Revenge) is a 4×4×4 version of the Rubik's Cube. It was released in 1981. Invented by Péter Sebestény, the cube was nearly called the Sebestény Cube until a somewhat last-minute decision change ...
(4×4×4 Rubik's Cube).
![ChessStartingPosition](https://upload.wikimedia.org/wikipedia/commons/3/30/ChessStartingPosition.jpg)
* ''Chess'': 4.52 is a proven
upper bound
In mathematics, particularly in order theory, an upper bound or majorant of a subset of some preordered set is an element of that is greater than or equal to every element of .
Dually, a lower bound or minorant of is defined to be an element ...
for the number of legal
chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to disti ...
positions.
* ''Geo'': 1.33 is the estimated number of
atom
Every atom is composed of a nucleus and one or more electrons bound to the nucleus. The nucleus is made of one or more protons and a number of neutrons. Only the most common variety of hydrogen has no neutrons.
Every solid, liquid, gas, and ...
s in
Earth
Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surfa ...
.
* ''Mathematics:'' 2
168 = 374,144,419,156,711,147,060,143,317,175,368,453,031,918,731,001,856 is the largest known
power of two
A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent.
In a context where only integers are considered, is restricted to non-negative ...
which is not
pandigital: There is no digit '2' in its decimal representation.
* ''Mathematics:'' 3
106 = 375,710,212,613,636,260,325,580,163,599,137,907,799,836,383,538,729 is the largest known
power of three
In mathematics, a power of three is a number of the form where is an integer – that is, the result of exponentiation with number three as the base and integer as the exponent.
Applications
The powers of three give the place values in ...
which is not pandigital: There is no digit '4'.
* ''Mathematics:'' 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 (≈8.08) is the
order of the
monster group
In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having order
246320597611213317192329314147 ...
.
* ''Cryptography:'' 2
192 = 6,277,101,735,386,680,763,835,789,423,207,666,416,102,355,444,464,034,512,896 (6.27710174), the total number of different possible keys in the
AES 192-bit
key space (symmetric cipher).
* ''Cosmology:'' 8 is roughly the number of
Planck time intervals since the
universe
The universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the universe. Acc ...
is theorised to have been created in the
Big Bang
The Big Bang event is a physical theory that describes how the universe expanded from an initial state of high density and temperature. Various cosmological models of the Big Bang explain the evolution of the observable universe from the ...
13.799 ± 0.021
billion
Billion is a word for a large number, and it has two distinct definitions:
*1,000,000,000, i.e. one thousand million, or (ten to the ninth power), as defined on the short scale. This is its only current meaning in English.
* 1,000,000,000,000, i.e ...
years ago.
* ''Cosmology:'' 1 is
Archimedes
Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists ...
' estimate in ''
The Sand Reckoner
''The Sand Reckoner'' ( el, Ψαμμίτης, ''Psammites'') is a work by Archimedes, an Ancient Greek mathematician of the 3rd century BC, in which he set out to determine an upper bound for the number of grains of sand that fit into the unive ...
'' of the total number of grains of
sand
Sand is a granular material composed of finely divided mineral particles. Sand has various compositions but is defined by its grain size. Sand grains are smaller than gravel and coarser than silt. Sand can also refer to a textural class of s ...
that could fit into the entire
cosmos
The cosmos (, ) is another name for the Universe. Using the word ''cosmos'' implies viewing the universe as a complex and orderly system or entity.
The cosmos, and understandings of the reasons for its existence and significance, are studied in ...
, the diameter of which he estimated in
stadia
Stadia may refer to:
* One of the plurals of stadium, along with "stadiums"
* The plural of stadion, an ancient Greek unit of distance, which equals to 600 Greek feet (''podes'').
* Stadia (Caria), a town of ancient Caria, now in Turkey
* Stadi ...
to be what we call 2
light-year
A light-year, alternatively spelled light year, is a large unit of length used to express astronomical distances and is equivalent to about 9.46 trillion kilometers (), or 5.88 trillion miles ().One trillion here is taken to be 1012 ...
s.
* ''Mathematics – Cards:'' 52
! = 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 (≈8.07) – the number of ways to order the
cards in a 52-card deck.
* ''Mathematics:'' There are ≈1.01×10
68 possible combinations for the
Megaminx
The Megaminx or Mégaminx (, ) is a dodecahedron-shaped puzzle similar to the Rubik's Cube. It has a total of 50 movable pieces to rearrange, compared to the 20 movable pieces of the Rubik's Cube.
History
The Megaminx, or Magic Dodecahedron ...
.
* ''Mathematics:'' 1,808,422,353,177,349,564,546,512,035,512,530,001,279,481,259,854,248,860,454,348,989,451,026,887 (≈1.81) – The largest known
prime factor
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
found by
ECM factorization .
* ''Mathematics:'' There are 282,870,942,277,741,856,536,180,333,107,150,328,293,127,731,985,672,134,721,536,000,000,000,000,000 (≈2.83) possible permutations for the
Professor's Cube
The 5x5 Rubik's Cube (also known as the Professor's Cube) is a 5×5×5 version of the original Rubik's Cube. It has qualities in common with both the 3×3×3 Rubik's Cube and the 4×4×4 4x4 Rubik's Cube, and solution strategies for both can be a ...
(5×5×5 Rubik's Cube).
* ''Cryptography:'' 2
256 = 115,792,089,237,316,195,423,570,985,008,687,907,853,269,984,665,640,564,039,457,584,007,913,129,639,936 (≈1.15792089), the total number of different possible keys in the
AES 256-bit
key space (symmetric cipher).
* ''Cosmology:'' Various sources estimate the total number of
fundamental particle
In particle physics, an elementary particle or fundamental particle is a subatomic particle that is not composed of other particles. Particles currently thought to be elementary include electrons, the fundamental fermions (quarks, leptons, antiqu ...
s in the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
to be within the range of 10
80 to 10
85.
[WMAP- Content of the Universe](_blank)
. Map.gsfc.nasa.gov (2010-04-16). Retrieved on 2011-05-01. However, these estimates are generally regarded as guesswork. (Compare the
Eddington number
In astrophysics, the Eddington number, , is the number of protons in the observable universe. Eddington originally calculated it as about ; current estimates make it approximately .
The term is named for British astrophysicist Arthur Eddingt ...
, the estimated total number of protons in the observable universe.)
* ''Computing:'' 9.999 999 is equal to the largest value that can be represented in the IEEE
decimal32 floating-point format
In computing, decimal32 is a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory.
It is intended for applications where it is necessary to emulate decimal rounding exactly, such as financi ...
.
* ''Computing:'' 69! (roughly 1.7112245), is the highest
factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial:
\begin
n! &= n \times (n-1) \times (n-2) \t ...
value that can be represented on a calculator with two digits for powers of ten without overflow.
* ''Mathematics:'' One
googol
A googol is the large number 10100. In decimal notation, it is written as the digit 1 followed by one hundred zeroes: 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, ...
, 1, 1 followed by one hundred zeros, or 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.
10100 (one googol) to 101000
(;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: ten duotrigintillion;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: ten thousand
sexdecillion
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
, or ten sexdecillard)
* ''Mathematics:'' There are 157 152 858 401 024 063 281 013 959 519 483 771 508 510 790 313 968 742 344 694 684 829 502 629 887 168 573 442 107 637 760 000 000 000 000 000 000 000 000 (≈1.57) distinguishable permutations of the
V-Cube 6
The V-Cube 6 is a 6×6×6 version of the original Rubik's Cube. The first mass-produced 6×6×6 was invented by Panagiotis Verdes and is produced by the Greek company Verdes Innovations SA. Other such puzzles have since been introduced by a numbe ...
(6×6×6 Rubik's Cube).
* ''Chess:''
Shannon number
The Shannon number, named after the American mathematician Claude Shannon, is a conservative lower bound of the game-tree complexity of chess of 10120, based on an average of about 103 possibilities for a pair of moves consisting of a move for Wh ...
, 10
120, a lower bound of the
game-tree complexity
Combinatorial game theory has several ways of measuring game complexity. This article describes five of them: state-space complexity, game tree size, decision complexity, game-tree complexity, and computational complexity.
Measures of game comple ...
of chess.
* ''Physics:'' 10
120,
discrepancy between the observed value of the
cosmological constant
In cosmology, the cosmological constant (usually denoted by the Greek capital letter lambda: ), alternatively called Einstein's cosmological constant,
is the constant coefficient of a term that Albert Einstein temporarily added to his field equ ...
and a naive estimate based on
Quantum Field Theory
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
and the
Planck energy.
* ''Physics:'' 8, ratio of the mass-energy in the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
to the energy of a photon with a wavelength the size of the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
.
* ''Mathematics:'' 19 568 584 333 460 072 587 245 340 037 736 278 982 017 213 829 337 604 336 734 362 294 738 647 777 395 483 196 097 971 852 999 259 921 329 236 506 842 360 439 300 (≈1.96) is the period of
primary pretenders.
* ''History – Religion:''
Asaṃkhyeya is a
Buddhist
Buddhism ( , ), also known as Buddha Dharma and Dharmavinaya (), is an Indian religion or philosophical tradition based on teachings attributed to the Buddha. It originated in northern India as a -movement in the 5th century BCE, and ...
name for the number 10
140. It is listed in the
Avatamsaka Sutra
The ' (IAST, sa, 𑀅𑀯𑀢𑀁𑀲𑀓 𑀲𑀽𑀢𑁆𑀭) or ''Buddhāvataṃsaka-nāma-mahāvaipulya-sūtra (The Mahāvaipulya Sūtra named “Buddhāvataṃsaka”)'' is one of the most influential Mahāyāna sutras of East Asian B ...
and metaphorically means "innumerable" in the
Sanskrit
Sanskrit (; attributively , ; nominally , , ) is a classical language belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the late ...
language of
ancient India
According to consensus in modern genetics, anatomically modern humans first arrived on the Indian subcontinent from Africa between 73,000 and 55,000 years ago. Quote: "Y-Chromosome and Mt-DNA data support the colonization of South Asia by m ...
.
* ''Xiangqi:'' 10
150, an estimation of the game-tree complexity of
xiangqi
''Xiangqi'' (; ), also called Chinese chess or elephant chess, is a strategy board game for two players. It is the most popular board game in China. ''Xiangqi'' is in the same family of games as '' shogi'', '' janggi'', Western chess, '' ch ...
.
* ''Mathematics:'' There are 19 500 551 183 731 307 835 329 126 754 019 748 794 904 992 692 043 434 567 152 132 912 323 232 706 135 469 180 065 278 712 755 853 360 682 328 551 719 137 311 299 993 600 000 000 000 000 000 000 000 000 000 000 000 (≈1.95) distinguishable permutations of the
V-Cube 7
The V-Cube 7 is a combination puzzle in the form of a 7×7×7 cube. The first mass-produced 7×7×7 was invented by Panagiotis Verdes and is produced by the Greek company Verdes Innovations SA. Other such puzzles have since been introduced by a n ...
(7×7×7 Rubik's Cube).
![FloorGoban](https://upload.wikimedia.org/wikipedia/commons/2/2a/FloorGoban.JPG)
* ''Go:'' There are 208 168 199 381 979 984 699 478 633 344 862 770 286 522 453 884 530 548 425 639 456 820 927 419 612 738 015 378 525 648 451 698 519 643 907 259 916 015 628 128 546 089 888 314 427 129 715 319 317 557 736 620 397 247 064 840 935 (≈2.08) legal positions in the game of Go. See
Go and mathematics
The game of Go is one of the most popular games in the world. As a result of its elegant and simple rules, the game has long been an inspiration for mathematical research. Shen Kuo, an 11th century Chinese scholar, estimated in his ''Dream Pool E ...
.
* ''Economics:'' The annualized rate of the
hyperinflation in Hungary in 1946 was estimated to be 2.9%. It was the most extreme case of
hyperinflation
In economics, hyperinflation is a very high and typically accelerating inflation. It quickly erodes the real value of the local currency, as the prices of all goods increase. This causes people to minimize their holdings in that currency as t ...
ever recorded.
* ''Board games:'' 3.457, number of ways to arrange the tiles in
English Scrabble on a standard 15-by-15 Scrabble board.
* ''Physics:'' 10
186, approximate number of
Planck volumes in the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
.
* ''Shogi:'' 10
226, an estimation of the game-tree complexity of
shogi
, also known as Japanese chess, is a strategy board game for two players. It is one of the most popular board games in Japan and is in the same family of games as Western chess, ''chaturanga, Xiangqi'', Indian chess, and '' janggi''. ''Shōgi'' ...
.
* ''Physics:'' 7, approximate spacetime volume of the history of the observable universe in
Planck units.
* ''Computing:'' 1.797 693 134 862 315 807 is approximately equal to the largest value that can be represented in the IEEE
double precision floating-point format
Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
Flo ...
.
* ''Computing:'' (10 – 10
−15) is equal to the largest value that can be represented in the IEEE
decimal64 floating-point format
In computing, decimal64 is a decimal floating-point computer numbering format that occupies 8 bytes (64 bits) in computer memory.
It is intended for applications where it is necessary to emulate decimal rounding exactly, such as financial and ...
.
* ''Mathematics:''
997# × 31# × 2
5 × 3
4 × 5
4 × 7 = 7 128 865 274 665 093 053 166 384 155 714 272 920 668 358 861 885 893 040 452 001 991 154 324 087 581 111 499 476 444 151 913 871 586 911 717 817 019 575 256 512 980 264 067 621 009 251 465 871 004 305 131 072 686 268 143 200 196 609 974 862 745 937 188 343 705 015 434 452 523 739 745 298 963 145 674 982 128 236 956 232 823 794 011 068 809 262 317 708 861 979 540 791 247 754 558 049 326 475 737 829 923 352 751 796 735 248 042 463 638 051 137 034 331 214 781 746 850 878 453 485 678 021 888 075 373 249 921 995 672 056 932 029 099 390 891 687 487 672 697 950 931 603 520 000 (≈7.13) is the
least common multiple
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers ''a'' and ''b'', usually denoted by lcm(''a'', ''b''), is the smallest positive integer that is divisible by bot ...
of every integer from 1 to 1000.
101000 to 1010100 (one googolplex)
* ''Mathematics:'' There are approximately 1.869 distinguishable permutations of the world's largest
Rubik's cube
The Rubik's Cube is a Three-dimensional space, 3-D combination puzzle originally invented in 1974 by Hungarians, Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, the puzzle was licensed by Rubik t ...
(33×33×33).
* ''Computing:'' 1.189 731 495 357 231 765 05 is approximately equal to the largest value that can be represented in the IEEE 80-bit x86
extended precision
Extended precision refers to floating-point arithmetic, floating-point number formats that provide greater precision (computer science), precision than the basic floating-point formats. Extended precision formats support a basic format by floati ...
floating-point format.
* ''Computing:'' 1.189 731 495 357 231 765 085 759 326 628 007 0 is approximately equal to the largest value that can be represented in the IEEE
quadruple-precision floating-point format
In computing, quadruple precision (or quad precision) is a binary floating point–based computer number format that occupies 16 bytes (128 bits) with precision at least twice the 53-bit double precision.
This 128-bit quadruple precision is desi ...
.
* ''Computing:'' (10 – 10
−33) is equal to the largest value that can be represented in the IEEE
decimal128 floating-point format
In computing, decimal128 is a decimal floating-point computer numbering format that occupies 16 bytes (128 bits) in computer memory. It is intended for applications where it is necessary to emulate decimal rounding exactly, such as fi ...
.
* ''Computing:'' 10
10,000 − 1 is equal to the largest value that can be represented in
Windows Phone
Windows Phone (WP) is a discontinued family of mobile operating systems developed by Microsoft for smartphones as the replacement successor to Windows Mobile and Zune. Windows Phone featured a new user interface derived from the Metro design la ...
's calculator.
* ''Mathematics:'' 2638
4405 + 4405
2638 is a 15,071-digit
Leyland prime; the largest which has been proven .
* ''Mathematics:'' 3,756,801,695,685 × 2
666,669 ± 1 are 200,700-digit
twin prime
A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin pr ...
s; the largest known .
* ''Mathematics:'' 18,543,637,900,515 × 2
666,667 − 1 is a 200,701-digit
Sophie Germain prime
In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 +  ...
; the largest known .
* ''Mathematics:'' approximately 7.76 × 10
206,544 cattle in the smallest herd which satisfies the conditions of
Archimedes's cattle problem
Archimedes's cattle problem (or the or ) is a problem in Diophantine analysis, the study of polynomial equations with integer solutions. Attributed to Archimedes, the problem involves computing the number of cattle in a herd of the sun god from ...
.
* ''Mathematics:'' 10
474,500 + 999 × 10
237,249 + 1 is a 474,501-digit
palindromic prime
In mathematics, a palindromic prime (sometimes called a palprime) is a prime number that is also a palindromic number. Palindromicity depends on the base of the number system and its notational conventions, while primality is independent of such ...
, the largest known .
* ''Mathematics:'' 2,996,863,034,895 × 2
1,290,000±1 are 388,342-digit
twin prime
A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin pr ...
s; the largest known .
* ''Mathematics:'' 1,098,133# – 1 is a 476,311-digit
primorial prime In mathematics, a primorial prime is a prime number of the form ''pn''# ± 1, where ''pn''# is the primorial of ''pn'' (i.e. the product of the first ''n'' primes).
Primality tests show that
: ''pn''# − 1 is prime for ''n ...
; the largest known .
* ''Mathematics:'' 208,003! − 1 is a 1,015,843-digit
factorial prime
A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even).
The first 10 factorial primes (for ''n'' = 1, 2, 3, 4, 6, 7, 11, 12, 14) are :
: 2 (0! +&n ...
; the largest known .
* ''Mathematics – Literature:''
Jorge Luis Borges
Jorge Francisco Isidoro Luis Borges Acevedo (; ; 24 August 1899 – 14 June 1986) was an Argentine short-story writer, essayist, poet and translator, as well as a key figure in Spanish-language and international literature. His best-known bo ...
'
Library of Babel
"The Library of Babel" ( es, La biblioteca de Babel) is a short story by Argentine author and librarian Jorge Luis Borges (1899–1986), conceiving of a universe in the form of a vast library containing all possible 410-page books of a certain ...
contains at least 25
1,312,000 ≈ 1.956 × 10
1,834,097 books (this is a lower bound).
* ''Mathematics:'' 4 × 72
1,119,849 − 1 is the smallest prime of the form 4×72
''n''−1
* ''Mathematics:'' (2
15,135,397+1)/3 is a 4,556,209-digit
Wagstaff probable prime, the largest known .
* ''Mathematics:'' 1,059,094
1,048,576 + 1 is a 6,317,602-digit
Generalized Fermat prime, the largest known .
* ''Mathematics:'' (10
8,177,207−1)/9 is a 8,177,207-digit
probable prime
In number theory, a probable prime (PRP) is an integer that satisfies a specific condition that is satisfied by all prime numbers, but which is not satisfied by most composite numbers. Different types of probable primes have different specific con ...
, the largest known .
* ''Mathematics:'' 10,223 × 2
31,172,165 + 1 is a 9,383,761-digit
Proth prime
A Proth number is a natural number ''N'' of the form N = k \times 2^n +1 where ''k'' and ''n'' are positive integers, ''k'' is odd and 2^n > k. A Proth prime is a Proth number that is prime. They are named after the French mathematician François ...
, the largest known Proth prime and non-Mersenne prime .
![Digits in largest prime found as a function of time](https://upload.wikimedia.org/wikipedia/commons/4/4a/Digits_in_largest_prime_found_as_a_function_of_time.svg)
* ''Mathematics:'' 2
82,589,933 − 1 is a 24,862,048-digit
Mersenne prime
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
; the
largest known prime
The largest known prime number () is , a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.
A prime number is a posi ...
of any kind .
[Chris Caldwell]
The Top Twenty: Largest Known Primes
at The Prime Pages The PrimePages is a website about prime numbers maintained by Chris Caldwell at the University of Tennessee at Martin.
The site maintains the list of the "5,000 largest known primes", selected smaller primes of special forms, and many "top twenty" ...
.
* ''Mathematics:'' 2
82,589,932 × (2
82,589,933 − 1) is a 49,724,095-digit
perfect number
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.
T ...
, the largest known as of 2020.
* ''Mathematics – History:'' 10
8×1016, largest named number in
Archimedes
Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists ...
' ''
Sand Reckoner
''The Sand Reckoner'' ( el, Ψαμμίτης, ''Psammites'') is a work by Archimedes, an Ancient Greek mathematician of the 3rd century BC, in which he set out to determine an upper bound for the number of grains of sand that fit into the unive ...
''.
* ''Mathematics:'' 10
googol (
), a
googolplex
A googolplex is the number 10, or equivalently, 10 or 1010,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 . Written out in ordinary decimal notation, it is 1 fol ...
. A number 1 followed by 1 googol zeros.
Carl Sagan
Carl Edward Sagan (; ; November 9, 1934December 20, 1996) was an American astronomer, planetary scientist, cosmologist, astrophysicist, astrobiologist, author, and science communicator. His best known scientific contribution is research on ext ...
has estimated that 1 googolplex, fully written out, would not fit in the
observable universe
The observable universe is a ball-shaped region of the universe comprising all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time, because the electromagnetic radiation from these obj ...
because of its size, while also noting that one could also write the number as 10
10100.
Larger than 1010100
(One
googolplex
A googolplex is the number 10, or equivalently, 10 or 1010,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 . Written out in ordinary decimal notation, it is 1 fol ...
; 10
googol;
short scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one m ...
: googolplex;
long scale
The long and short scales are two of several naming systems for integer powers of ten which use some of the same terms for different magnitudes.
For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the ...
: googolplex)
* ''Mathematics – Literature:'' The number of different ways in which the books in
Jorge Luis Borges
Jorge Francisco Isidoro Luis Borges Acevedo (; ; 24 August 1899 – 14 June 1986) was an Argentine short-story writer, essayist, poet and translator, as well as a key figure in Spanish-language and international literature. His best-known bo ...
'
Library of Babel
"The Library of Babel" ( es, La biblioteca de Babel) is a short story by Argentine author and librarian Jorge Luis Borges (1899–1986), conceiving of a universe in the form of a vast library containing all possible 410-page books of a certain ...
can be arranged is approximately
, the
factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial:
\begin
n! &= n \times (n-1) \times (n-2) \t ...
of the number of books in the Library of Babel.
* ''Cosmology:'' In
chaotic inflation theory
Eternal inflation is a hypothetical inflationary universe model, which is itself an outgrowth or extension of the Big Bang theory.
According to eternal inflation, the inflationary phase of the universe's expansion lasts forever throughout most o ...
, proposed by physicist
Andrei Linde
Andrei Dmitriyevich Linde (russian: Андре́й Дми́триевич Ли́нде; born March 2, 1948) is a Russian-American theoretical physicist and the Harald Trap Friis Professor of Physics at Stanford University.
Linde is one of the ...
, our
universe
The universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the universe. Acc ...
is one of many other universes with different
physical constant
A physical constant, sometimes fundamental physical constant or universal constant, is a physical quantity that is generally believed to be both universal in nature and have constant value in time. It is contrasted with a mathematical constant, ...
s that originated as part of our local section of the
multiverse
The multiverse is a hypothetical group of multiple universes. Together, these universes comprise everything that exists: the entirety of space, time, matter, energy, information, and the physical laws and constants that describe them. The di ...
, owing to a
vacuum
A vacuum is a space devoid of matter. The word is derived from the Latin adjective ''vacuus'' for "vacant" or "void". An approximation to such vacuum is a region with a gaseous pressure much less than atmospheric pressure. Physicists often dis ...
that had not decayed to its
ground state
The ground state of a quantum-mechanical system is its stationary state of lowest energy; the energy of the ground state is known as the zero-point energy of the system. An excited state is any state with energy greater than the ground state. ...
. According to Linde and Vanchurin, the total number of these universes is about
.
* ''Mathematics:''
, order of magnitude of an upper bound that occurred in a
proof of Skewes (this was later estimated to be closer to 1.397 × 10
316).
*''Cosmology:'' The estimated number of
Planck time units for
quantum fluctuations
In quantum physics, a quantum fluctuation (also known as a vacuum state fluctuation or vacuum fluctuation) is the temporary random change in the amount of energy in a point in space, as prescribed by Werner Heisenberg's uncertainty principle. ...
and
tunnelling to generate a new
Big Bang
The Big Bang event is a physical theory that describes how the universe expanded from an initial state of high density and temperature. Various cosmological models of the Big Bang explain the evolution of the observable universe from the ...
is estimated to be
.
* ''Mathematics:''
, a number in
the googol family called a googolplexplex, googolplexian, or googolduplex. 1 followed by a googolplex zeros, or 10
googolplex
*''Cosmology:'' The uppermost estimate to the size of the entire universe is approximately
times that of the observable universe.
* ''Mathematics:''
, order of magnitude of another upper bound in a proof of
Skewes.
* ''Mathematics:''
, a number in
the googol family called a googolplexplexplex, googolplexianth, or googoltriplex. 1 followed by a googolduplex zeros, or 10
googolduplex
* ''Mathematics:'' Steinhaus'
mega
Mega or MEGA may refer to:
Science
* mega-, a metric prefix denoting 106
* Mega (number), a certain very large integer in Steinhaus–Moser notation
* "mega-" a prefix meaning "large" that is used in taxonomy
* Gravity assist, for ''Moon-Eart ...
lies between 10
57 and 10
58 (where ''a''
'n'''b'' is
hyperoperation
In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called ''hyperoperations'' in this context) that starts with a unary operation (the successor function with ''n'' = 0). The sequence continues with ...
).
* ''Mathematics:'' Moser's number, "2 in a mega-gon" in
Steinhaus–Moser notation
In mathematics, Steinhaus–Moser notation is a notation for expressing certain large numbers. It is an extension (devised by Leo Moser) of Hugo Steinhaus's polygon notation.
Definitions
: 20px, n in a triangle a number in a triangle means nn ...
, is approximately equal to 10
57.html" ;"title="0
57">0
570, the last four digits are ...1056.
* ''Mathematics:''
Graham's number, the last ten digits of which are ...2464195387, equals 3
[3[...3[3[3[6+2.html"_;"title="[...3[3[3[6.html"_;"title="[3[...3[3[3[6">[3[...3[3[3[6+2">[...3[3[3[6.html"_;"title="[3[...3[3[3[6">[3[...3[3[3[6+2+2.html" ;"title="[...3[3[3[6">[3[...3[3[3[6+2.html" ;"title="[...3[3[3[6.html" ;"title="[3[...3[3[3[6">[3[...3[3[3[6+2">[...3[3[3[6.html" ;"title="[3[...3[3[3[6">[3[...3[3[3[6+2+2">[...3[3[3[6">[3[...3[3[3[6+2.html" ;"title="[...3[3[3[6.html" ;"title="[3[...3[3[3[6">[3[...3[3[3[6+2">[...3[3[3[6.html" ;"title="[3[...3[3[3[6">[3[...3[3[3[6+2+2...]3+2]3+2]3 with 64 levels of brackets. Arises as an upper bound solution to a problem in Ramsey theory. Representation in powers of 10 would be impractical (the number of 10s in the power tower
would be virtually indistinguishable from the number itself).
* ''Mathematics:''
TREE(3)
In mathematics, Kruskal's tree theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic embedding.
History
The theorem was conjectured by Andrew Vázsonyi and proved b ...
: appears in relation to a theorem on trees in
graph theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conne ...
. Representation of the number is difficult, but one weak lower bound is ''A''
''A''(187196)(1), where A(n) is a version of the
Ackermann function
In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive. All primitive recursive functions are total ...
.
* ''Mathematics:''
SSCG(3): appears in relation to the
Robertson–Seymour theorem
In graph theory, the Robertson–Seymour theorem (also called the graph minor theorem) states that the undirected graphs, partially ordered by the graph minor relationship, form a well-quasi-ordering. Equivalently, every family of graphs that is cl ...
. Known to be greater than TREE(3).
* ''Mathematics:''
Transcendental integers
Transcendence, transcendent, or transcendental may refer to:
Mathematics
* Transcendental number, a number that is not the root of any polynomial with rational coefficients
* Algebraic element or transcendental element, an element of a field exten ...
: a set of numbers defined in 2000 by
Harvey Friedman
__NOTOC__
Harvey Friedman (born 23 September 1948)Handbook of Philosophical Logic, , p. 38 is an American mathematical logician at Ohio State University in Columbus, Ohio. He has worked on reverse mathematics, a project intended to derive the axi ...
, appears in proof theory.
* ''Mathematics:''
Rayo's number
Rayo's number is a large number named after Mexican philosophy professor Agustín Rayo which has been claimed to be the largest named number. It was originally defined in a "big number duel" at Massachusetts Institute of Technology, MIT on 26 Janua ...
is a large number named after Agustín Rayo which has been claimed to be the largest number to have ever been named. It was originally defined in a "big number duel" at
MIT
The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the m ...
on 26 January 2007.
See also
*
Conway chained arrow notation
Conway chained arrow notation, created by mathematician John Horton Conway, is a means of expressing certain extremely large numbers. It is simply a finite sequence of positive integers separated by rightward arrows, e.g. 2\to3\to4\to5\to6.
As wit ...
*
Encyclopedic size comparisons on Wikipedia
*
Fast-growing hierarchy
In computability theory, computational complexity theory and proof theory, a fast-growing hierarchy (also called an extended Grzegorczyk hierarchy) is an ordinal-indexed family of rapidly increasing functions ''f''α: N → N (where N is the set of ...
*
Indian numbering system
The Indian numbering system is used in all South Asian countries (Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, Sri Lanka and Afghanistan) to express large numbers. The terms ''lakh'' or 1,00,000 (one hundred thousand, written as ''100,00 ...
*
Large numbers
Large numbers are numbers significantly larger than those typically used in everyday life (for instance in simple counting or in monetary transactions), appearing frequently in fields such as mathematics, cosmology, cryptography, and statistical m ...
*
List of numbers
This is a list of notable numbers and articles about notable numbers. The list does not contain all numbers in existence as most of the number sets are infinite. Numbers may be included in the list based on their mathematical, historical or cu ...
*
Mathematical constant
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. Cons ...
*
Names of large numbers
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-Eng ...
*
Names of small numbers
This article lists and discusses the usage and derivation of names of small decimal number, numbers.
Table of names
The following table lists English language names of small numbers used in the long and short scales, along with the power of 10, en ...
*
Power of 10
A power of 10 is any of the integer exponentiation, powers of the number 10 (number), ten; in other words, ten multiplication, multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one is ...
References
External links
*
Seth Lloyd
Seth Lloyd (born August 2, 1960) is a professor of mechanical engineering and physics at the Massachusetts Institute of Technology.
His research area is the interplay of information with complex systems, especially quantum systems. He has perform ...
's pape
''Computational capacity of the universe''provides a number of interesting dimensionless quantities.
*
{{DEFAULTSORT:Orders Of Magnitude (Numbers)
Numbers
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can ...