1,000,000,000 (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 ...
,
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 thousand million or one milliard, one yard, long scale) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called ''Cardinal n ...
following
999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
In standard form, it is written as 1 × 10
9. The
metric prefix
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 ...
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 ...
indicates 1,000,000,000 times the base unit. Its symbol is
G.
One billion years may be called an ''
eon
Eon or Eons may refer to: Time
* Aeon, an indefinite long period of time
* Eon (geology), a division of the geologic time scale
Arts and entertainment
Fictional characters
* Eon, in the 2007 film '' Ben 10: Race Against Time''
* Eon, in the ...
'' in astronomy or geology.
Previously in
British English
British English (BrE, en-GB, or BE) is, according to Lexico, Oxford Dictionaries, "English language, English as used in Great Britain, as distinct from that used elsewhere". More narrowly, it can refer specifically to the English language in ...
(but not in
American English
American English, sometimes called United States English or U.S. English, is the set of variety (linguistics), varieties of the English language native to the United States. English is the Languages of the United States, most widely spoken lan ...
), the word "billion" referred exclusively to a million millions (1,000,000,000,000). However, this is no longer common, and the word has been used to mean one thousand million (1,000,000,000) for several decades.
The term ''milliard'' can also be used to refer to 1,000,000,000; whereas "milliard" is rarely used in English, variations on this name often appear in
other languages.
In the
South Asian 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 ...
, it is known as 100
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 ...
or 1
arab
The Arabs (singular: Arab; singular ar, عَرَبِيٌّ, DIN 31635: , , plural ar, عَرَب, DIN 31635: , Arabic pronunciation: ), also known as the Arab people, are an ethnic group mainly inhabiting the Arab world in Western Asia, ...
.
1,000,000,000 is also the
cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross.
The cube is the only r ...
of
1000.
Sense of scale
The facts below give a sense of how large 1,000,000,000 (10
9) is in the context of time according to current scientific evidence:
Time
* 10
9 seconds (1 gigasecond) equal 11,574 days, 1 hour, 46 minutes and 40 seconds (approximately 31.7 years, or 31 years, 8 months, 8 days).
* About 10
9 minutes ago, the
Roman Empire
The Roman Empire ( la, Imperium Romanum ; grc-gre, Βασιλεία τῶν Ῥωμαίων, Basileía tôn Rhōmaíōn) was the post-Republican period of ancient Rome. As a polity, it included large territorial holdings around the Mediterr ...
was flourishing and Christianity was emerging. (10
9 minutes is roughly 1,901 years.)
* About 10
9 hours ago, modern human beings and their ancestors were living in the
Stone Age
The Stone Age was a broad prehistoric period during which stone was widely used to make tools with an edge, a point, or a percussion surface. The period lasted for roughly 3.4 million years, and ended between 4,000 BC and 2,000 BC, with t ...
(more precisely, the
Middle Paleolithic
The Middle Paleolithic (or Middle Palaeolithic) is the second subdivision of the Paleolithic or Old Stone Age as it is understood in Europe, Africa and Asia. The term Middle Stone Age is used as an equivalent or a synonym for the Middle Paleoli ...
). (10
9 hours is roughly 114,080 years.)
* About 10
9 days ago, ''
Australopithecus
''Australopithecus'' (, ; ) is a genus of early hominins that existed in Africa during the Late Pliocene and Early Pleistocene. The genus ''Homo'' (which includes modern humans) emerged within ''Australopithecus'', as sister to e.g. ''Australopi ...
'', an ape-like creature related to an ancestor of modern humans, roamed the African
savanna
A savanna or savannah is a mixed woodland-grassland (i.e. grassy woodland) ecosystem characterised by the trees being sufficiently widely spaced so that the canopy does not close. The open canopy allows sufficient light to reach the ground to ...
s. (10
9 days is roughly years.)
* About 10
9 months ago,
dinosaur
Dinosaurs are a diverse group of reptiles of the clade Dinosauria. They first appeared during the Triassic period, between 243 and 233.23 million years ago (mya), although the exact origin and timing of the evolution of dinosaurs is t ...
s walked the Earth during the late
Cretaceous
The Cretaceous ( ) is a geological period that lasted from about 145 to 66 million years ago (Mya). It is the third and final period of the Mesozoic Era, as well as the longest. At around 79 million years, it is the longest geological period of th ...
. (10
9 months is roughly years.)
* About 10
9 years—a
gigaannus
A year or annus is the orbital period of a planetary body, for example, the Earth, moving in its orbit around the Sun. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by change in weather, the hou ...
—ago, the first
multicellular
A multicellular organism is an organism that consists of more than one cell, in contrast to unicellular organism.
All species of animals, land plants and most fungi are multicellular, as are many algae, whereas a few organisms are partially uni- ...
eukaryote
Eukaryotes () are organisms whose cells have a nucleus. All animals, plants, fungi, and many unicellular organisms, are Eukaryotes. They belong to the group of organisms Eukaryota or Eukarya, which is one of the three domains of life. Bacte ...
s appeared on Earth.
* About 10
9 decades ago,
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. ...
began to appear in the early
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 ...
which was then 3.799 billion years old. (10
9 decades is exactly years.)
* 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 thought to be about
13.8 × 109 years old.
Distance
* 10
9 inches is , more than halfway around the world and thus sufficient to reach any point on the globe from any other point.
* 10
9 metre
The metre (British spelling) or meter (American spelling; see spelling differences) (from the French unit , from the Greek noun , "measure"), symbol m, is the primary unit of length in the International System of Units (SI), though its pref ...
s (called a
gigametre
The following are examples of order of magnitude, orders of magnitude for different lengths.
__TOC__
Overview
Detailed list
To help compare different orders of magnitude, the following list describes various lengths between 1.6 \times 10^ ...
) is almost three times the distance from the
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 ...
to the
Moon
The Moon is Earth's only natural satellite. It is the fifth largest satellite in the Solar System and the largest and most massive relative to its parent planet, with a diameter about one-quarter that of Earth (comparable to the width of ...
.
* 10
9 kilometre
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 (called a
terametre
The following are examples of orders of magnitude for different lengths.
__TOC__
Overview
Detailed list
To help compare different orders of magnitude, the following list describes various lengths between 1.6 \times 10^ metres and 10 ...
) is over six times the distance from the Earth to the
Sun
The Sun is the star at the center of the Solar System. It is a nearly perfect ball of hot plasma, heated to incandescence by nuclear fusion reactions in its core. The Sun radiates this energy mainly as light, ultraviolet, and infrared radi ...
.
Area
* A billion square inches could make a square about one half mile on a side.
* A bolt of finely woven
1000-TC bed sheet linen with a billion thread crossings would have an area of , comparable to the floor area of a motel unit.
Volume
* There are one billion cubic
millimetres
330px, Different lengths as in respect to the electromagnetic spectrum, measured by the metre and its derived scales. The microwave is between 1 meter to 1 millimeter.
The millimetre (American and British English spelling differences#-re, -er, ...
in a
cubic metre
The cubic metre (in Commonwealth English and international spelling as used by the International Bureau of Weights and Measures) or cubic meter (in American English) is the unit of volume in the International System of Units (SI). Its symbol is m ...
, and a billion cubic metres in a
cubic kilometre
The cubic metre (in Commonwealth English and international spelling as used by the International Bureau of Weights and Measures) or cubic meter (in American English) is the unit of volume in the International System of Units (SI). Its symbol is m ...
.
* A billion grains of table salt or granulated sugar would occupy a volume of about .
* A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.
Weight
* Any object that weighs would weigh about as much as 5,525 empty
Boeing 747-400
The Boeing 747-400 is a large, long-range wide-body airliner produced by Boeing Commercial Airplanes, an advanced variant of the initial Boeing 747.
The "Advanced Series 300" was announced at the September 1984 Farnborough Airshow, targeting ...
s.
* A cube of iron that weighs would be on each side.
Products
* As of July 2016,
Apple
An apple is an edible fruit produced by an apple tree (''Malus domestica''). Apple fruit tree, trees are agriculture, cultivated worldwide and are the most widely grown species in the genus ''Malus''. The tree originated in Central Asia, wh ...
has sold one billion
iPhones. This makes the iPhone one of the most successful product lines in history, surpassing the
PlayStation
is a video gaming brand that consists of five home video game consoles, two handhelds, a media center, and a smartphone, as well as an online service and multiple magazines. The brand is produced by Sony Interactive Entertainment, a divisi ...
and the
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 ...
.
* As of July 2016,
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 ...
has 1.71 billion users.
Nature
* A small mountain, slightly larger than
Stone Mountain
Stone Mountain is a quartz monzonite dome Inselberg, monadnock and the site of Stone Mountain Park, east of Atlanta, Georgia. Outside the park is the small city of Stone Mountain, Georgia. The park is the most visited tourist site in the state o ...
in Georgia, United States, would weigh (have a mass of) a billion tons.
* There are billions of worker ants in the largest ant colony in the world, which covers almost of the Mediterranean coast.
* In 1804, the
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 ...
was one billion.
Count
A is a cube; B consists of 1000 cubes the size of cube ''A'', C consists of 1000 cubes the size of cube ''B''; and D consists of 1000 cubes the size of cube ''C''. Thus there are ''A''-sized cubes in ''C''; and 1,000,000,000 ''A''-sized cubes in ''D''.
Selected 10-digit numbers (1,000,000,001–9,999,999,999)
1,000,000,001 to 1,999,999,999
* 1,000,000,007 = smallest
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 ...
with 10 digits.
* 1,000,006,281 = smallest
triangular number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...
with 10 digits and the 44,721st triangular number.
* 1,000,014,129 = 31623
2, the smallest ten-digit square.
* 1,003,003,001 = 1001
3, palindromic cube
* 1,021,147,343 = 1007
3
* 1,023,456,789 = smallest integer containing all digits
* 1,024,192,512 = 1008
3
* 1,026,753,849 = 32043
2, the smallest pandigital
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 ...
in base 10.
* 1,069,863,695 = number of square (0,1)-matrices without zero rows and with exactly 9 entries equal to 1
* 1,073,741,824 = 32768
2 = 1024
3 = 64
5 = 32
6 = 8
10 = 4
15 = 2
30
* 1,073,742,724 = Leyland number
* 1,073,792,449 = Leyland number
* 1,093,104,961 = number of (unordered, unlabeled) rooted trimmed trees with 28 nodes
* 1,104,891,746 = number of
partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a Set (mathematics), set. A poset consists of a set toget ...
with 12 unlabeled elements
*
1,111,111,111 =
repunit
In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreat ...
, also a special number relating to the passing of
Unix time
Current Unix time ()
Unix time is a date and time representation widely used in computing. It measures time by the number of seconds that have elapsed since 00:00:00 UTC on 1 January 1970, the beginning of the Unix epoch, less adjustments m ...
.
* 1,129,760,415 = 23rd
Motzkin number
In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have d ...
.
* 1,134,903,170 = 45th
Fibonacci number
In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...
.
* 1,139,733,677 = k such that the sum of the squares of the first k primes is divisible by k.
* 1,160,290,625 = 65
5
* 1,162,261,467 = 3
19
* 1,162,268,326 = Leyland number
* 1,173,741,824 = Leyland number
* 1,220,703,125 = 5
13
* 1,221,074,418 = Leyland number
* 1,232,922,769 =
Centered hexagonal number
In mathematics and combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following ...
.
* 1,234,567,890 = pandigital number with the digits in order.
* 1,252,332,576 = 66
5
* 1,280,000,000 = 20
7
* 1,291,467,969 = 35937
2 = 1089
3 = 33
6
* 1,311,738,121 = 25th
Pell number
In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins , , , , an ...
.
* 1,350,125,107 = 67
5
* 1,382,958,545 = 15th
Bell number
In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of eponymy ...
.
* 1,392,251,012 = number of secondary structures of RNA molecules with 27 nucleotides
* 1,405,695,061 = Markov prime
* 1,406,818,759 = 30th
Wedderburn–Etherington number The Wedderburn–Etherington numbers are an integer sequence named for Ivor Malcolm Haddon Etherington.. and Joseph Wedderburn. that can be used to count certain kinds of binary trees. The first few numbers in the sequence are
:0, 1, 1, 1, 2, 3, 6, ...
.
* 1,421,542,641 = logarithmic number.
* = 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 2018.
* 1,453,933,568 = 68
5
* 1,464,407,113 = number of series-reduced trees with 39 nodes
* 1,466,439,680 = number o
independent vertex setsan
in the 2
* 1,475,789,056 = 38416
2 = 196
4 = 14
8
* 1,528,823,808 = 1152
3
* 1,533,776,805 = pentagonal triangular number
* 1,544,804,416 = 39304
2 = 1156
3 = 34
6
* 1,564,031,349 = 69
5
* 1,631,432,881 = 40391
2,
square triangular number
In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a perfect square. There are infinitely many square triangular numbers; the first few are:
:0, 1, 36, , , , , , ,
Expl ...
* 1,661,392,258 = n such that n , (3
n + 5)
* 1,673,196,525 = Lowest common multiple of the odd integers from 1 to 25
* 1,677,922,740 = number of series-reduced planted trees with 36 nodes
* 1,680,700,000 = 70
5
* 1,787,109,376 = 1-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natura ...
* 1,801,088,541 = 21
7
* 1,804,229,351 = 71
5
* 1,808,141,741 = number of partitions of 280 into divisors of 280
* 1,836,311,903 = 46th Fibonacci number.
* 1,838,265,625 = 42875
2 = 1225
3 = 35
6
* 1,848,549,332 = number of partitions of 270 into divisors of 270
* 1,882,341,361 = The smallest prime whose reversal is a
square triangular number
In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a perfect square. There are infinitely many square triangular numbers; the first few are:
:0, 1, 36, , , , , , ,
Expl ...
(triangular of 57121).
* 1,934,917,632 = 72
5
* 1,934,502,740 = number of parallelogram polyominoes with 27 cells.
* 1,996,813,914 = Leyland number
* 1,977,326,743 = 7
11
* 1,921,525,212 = number of partitions of 264 into divisors of 264
2,000,000,000 to 2,999,999,999
* 2,038,074,743 = 100,000,000th prime number
* 2,073,071,593 = 73
5
*
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 ...
= 8th
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 ...
, 3rd
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 ...
, and the largest signed 32-
bit
The bit is the most basic unit of information in computing and digital communications. The name is a portmanteau of binary digit. The bit represents a logical state with one of two possible values. These values are most commonly represente ...
integer.
* 2,147,483,648 = 2
31
* 2,147,484,609 = Leyland number
* 2,176,782,336 = 46656
2 = 1296
3 = 216
4 = 36
6 = 6
12
* 2,179,768,320 = Leyland number
* 2,214,502,422 = 6th
primary pseudoperfect number
In mathematics, and particularly in number theory, ''N'' is a primary pseudoperfect number if it satisfies the Egyptian fraction equation
:\frac + \sum_\frac = 1,
where the sum is over only the prime divisors of ''N''.
Properties
Equivalentl ...
.
* 2,219,006,624 = 74
5
* 2,222,222,222 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 2,276,423,485 = number of ways to partition and then partition each cell (block) into subcells.
* 2,333,606,816 =
* 2,357,947,691 = 1331
3 = 11
9
* 2,373,046,875 = 75
5
* 2,494,357,888 = 22
7
* 2,535,525,376 = 76
5
* 2,562,890,625 = 50625
2 = 225
4 = 15
8
* 2,565,726,409 = 50653
2 = 1369
3 = 37
6
* 2,695,730,992 = number of (unordered, unlabeled) rooted trimmed trees with 29 nodes
* 2,706,784,157 = 77
5
* 2,873,403,980 = number of uniform rooted trees with 27 nodes
* 2,834,510,744 = number of nonequivalent dissections of an 22-gon into 19 polygons by nonintersecting diagonals up to rotation
* 2,887,174,368 = 78
5
* 2,971,215,073 = 11th Fibonacci prime (47th Fibonacci number) and a Markov prime.
3,000,000,000 to 3,999,999,999
* 3,010,936,384 = 54872
2 = 1444
3 = 38
6
* 3,077,056,399 = 79
5
* 3,166,815,962 = 26th Pell number.
* 3,192,727,797 = 24th Motzkin number.
* 3,276,800,000 = 80
5
* 3,323,236,238 = 31st Wedderburn–Etherington number.
* 3,333,333,333 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 3,404,825,447 = 23
7
* 3,405,691,582 = hexadecimal
CAFEBABE; used as a placeholder in programming.
* 3,405,697,037 = hexadecimal
CAFED00D; used as a placeholder in programming.
* 3,461,824,644 = number of secondary structures of RNA molecules with 28 nucleotides
* 3,486,784,401 = 59049
2 = 243
4 = 81
5 = 9
10 = 3
20
* 3,486,792,401 = Leyland number
* 3,518,743,761 = 59319
2 = 1521
3 = 39
6
* 3,520,581,954 = number of series-reduced planted trees with 37 nodes
* 3,665,821,697 = 437 × 2
23 + 1; smallest
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 ...
for k = 437
* 3,707,398,432 = 82
5
* 3,735,928,559 = hexadecimal
DEADBEEF
DeaDBeeF is an audio player software available for Linux, Android and other Unix-like operating systems. DeaDBeeF is free and open-source software, except on Android.
History
The player was first published in August 2009. Its author cited ...
; used as a placeholder in programming.
* 3,735,929,054 = hexadecimal
DEADC0DE; used as a placeholder in programming.
* 3,939,040,643 = 83
5
4,000,000,000 to 4,999,999,999
* 4,006,387,712 = number o
independent vertex setsan
in the 2
* 4,021,227,877 = least k >= 1 such that the remainder when 6
k is divided by k is 5
* 4,096,000,000 = 64000
2 = 1600
3 = 40
6
* 4,118,054,813 = number of primes under 10
11
* 4,182,119,424 = 84
5
* 4,294,967,291 = Largest prime 32-bit unsigned integer.
*
4,294,967,295 = Maximum 32-bit unsigned integer (FFFFFFFF
16),
perfect totient number In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number ''n'', apply it again to the resulting totient, and so on, until the number 1 is reached, ...
, product of all 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, 429496 ...
s
through
.
* 4,294,967,296 = 65536
2 = 256
4 = 16
8 = 4
16 = 2
32
* 4,294,967,297 =
, the first composite
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 ...
.
* 4,294,968,320 = Leyland number
* 4,295,032,832 = Leyland number
* 4,437,053,125 = 85
5
* 4,444,444,444 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 4,467,033,943 – number of parallelogram polyominoes with 28 cells.
* 4,486,784,401 = Leyland number
* 4,500,000,000 = Approximate age of the Earth in years
* 4,586,471,424 = 24
7
* 4,704,270,176 = 86
5
* 4,750,104,241 = 68921
2 = 1681
3 = 41
6
* 4,807,526,976 = 48th Fibonacci number.
* 4,984,209,207 = 87
5
5,000,000,000 to 5,999,999,999
* 5,159,780,352 = 1728
3 = 12
9 = 1,000,000,000
12 AKA a great-great-great-gross (1,000,000
12 great-grosses or 1,000
12 great-great-grosses)
* 5,277,319,168 = 88
5
* 5,354,228,880 = superior highly composite number, smallest number divisible by all the numbers 1 through 24
* 5,489,031,744 = 74088
2 = 1764
3 = 42
6
* 5,555,555,555 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 5,584,059,449 = 89
5
* 5,784,634,181 = 13th
alternating factorial.
* 5,904,900,000 = 90
5
6,000,000,000 to 6,999,999,999
* 6,103,515,625 = 78125
2 = 25
7 = 5
14
* 6,104,053,449 = Leyland number
* 6,210,001,000 = only
self-descriptive number
In mathematics, a self-descriptive number is an integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inver ...
in base 10.
* 6,227,020,800 = 13
!
* 6,240,321,451 = 91
5
* 6,321,363,049 = 79507
2 = 1849
3 = 43
6
* 6,469,693,230 = tenth
primorial
In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function ...
* 6,590,815,232 = 92
5
* 6,659,914,175 = number of (unordered, unlabeled) rooted trimmed trees with 30 nodes
* 6,666,666,666 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 6,956,883,693 = 93
5
* 6,975,757,441 = 83521
2 = 289
4 = 17
8
* 6,983,776,800 = 15th
colossally abundant number
In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Formally, a number ''n'' is said to be colossally abundant if there is an ε > 0 su ...
, 15th
superior highly composite number
7,000,000,000 to 7,999,999,999
* 7,007,009,909 = smallest number in base 10 to take 100 iterations to form a palindrome
* 7,256,313,856 = 85184
2 = 1936
3 = 44
6
* 7,339,040,224 = 94
5
* 7,371,308,068 = number of partitions of 252 into divisors of 252
* 7,391,026,522 = number of planar partitions of 49
* 7,464,000,000 = Estimated population of the Earth in ''2016'' according to Worldometers
* 7,544,428,973 = number of uniform rooted trees with 28 nodes
* 7,645,370,045 = 27th Pell number.
* 7,737,809,375 = 95
5
* 7,777,777,777 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 7,778,742,049 = 49th Fibonacci number.
* 7,795,000,000 = Estimated population of the Earth in ''2020'' according to Worldometers
* 7,862,958,391 = 32nd Wedderburn–Etherington number.
8,000,000,000 to 8,999,999,999
* 8,031,810,176 = 26
7
* 8,153,726,976 = 96
5
* 8,212,890,625 = 1-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natura ...
[
* 8,303,765,625 = 911252 = 20253 = 456
* 8,587,340,257 = 975
* 8,589,866,963 = number of subsets of with relatively prime elements
* 8,589,869,056 = 6th ]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 ...
.
* 8,589,934,592 = 20483 = 811 = 233
* 8,589,935,681 = Leyland prime
* 8,622,571,758 = number of secondary structures of RNA molecules with 29 nucleotides
* 8,804,293,473 = Leyland number
* 8,888,888,888 = repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
9,000,000,000 to 9,999,999,999
* 9,039,207,968 = 985
* 9,043,402,501 = 25th Motzkin number
In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have d ...
.
* 9,393,931,000 = 21103
* 9,474,296,896 = 973362 = 21163 = 466
* 9,509,900,499 = 995
* 9,814,072,356 = 990662, the largest pandigital square, largest pandigital pure power.
* 9,876,543,210 = largest number without repeated digits in base 10.
* 9,999,800,001 = 999992, the largest ten-digit square.
* 9,999,999,967 = greatest prime number with 10 digits
* 9,999,999,999 = largest 10-digit number, repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
References
{{DEFAULTSORT:1000000000 (Number)
Integers
Large numbers