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 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, 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 standard form, it is written as 1 × 10
9. The
metric prefix 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 D ...
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 th ...
'' in astronomy or geology.
Previously in
British English
British English (BrE, en-GB, or BE) is, according to Oxford Dictionaries, "English as used in Great Britain, as distinct from that used elsewhere". More narrowly, it can refer specifically to the English language in England, or, more broadly ...
(but not in
American English
American English, sometimes called United States English or U.S. English, is the set of varieties of the English language native to the United States. English is the most widely spoken language in the United States and in most circumstances ...
), 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, 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 ...
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, No ...
.
1,000,000,000 is also the
cube of
1000 1000 or thousand may refer to:
* 1000 (number), a natural number
* AD 1000, a leap year in the Julian calendar
* 1000 BC, a year of the Before Christ era
* 1000 metres, a middle-distance running event
* 1000°, a German electronic dance music magaz ...
.
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-Roman Republic, Republican period of ancient Rome. As a polity, it included large territorial holdings aro ...
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 (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 Paleo ...
). (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,
dinosaurs walked the Earth during the late
Cretaceous. (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 hour ...
—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 ...
eukaryotes appeared on Earth.
* About 10
9 decades ago,
galaxies began to appear in the early
Universe which was then 3.799 billion years old. (10
9 decades is exactly years.)
* The
universe 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 metres (called a
gigametre
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 almost three times the distance from the
Earth to the
Moon.
* 10
9 kilometres (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 ...
, and a billion cubic metres in a
cubic kilometre.
* 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 has sold one billion
iPhones. This makes the iPhone one of the most successful product lines in history, surpassing the
PlayStation and the
Rubik's Cube.
* As of July 2016,
Facebook has 1.71 billion users.
Nature
* A small mountain, slightly larger than
Stone Mountain
Stone Mountain is a quartz monzonite dome 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 of Georgia. ...
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 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 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 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. A poset consists of a set together with a binary ...
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.
* 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 ...
.
* 1,134,903,170 = 45th
Fibonacci number.
* 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.
* 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.
* 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 eponym ...
.
* 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.
* 1,421,542,641 = logarithmic number.
* = Population of the
People's Republic of China 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
* 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 natu ...
* 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 (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 Dani ...
= 8th
Mersenne prime, 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 Lis ...
, 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 represented ...
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.
* 2,219,006,624 = 74
5
* 2,222,222,222 =
repdigit
* 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
* 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 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
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 unsign ...
= 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 primes
through
.
* 4,294,967,296 = 65536
2 = 256
4 = 16
8 = 4
16 = 2
32
* 4,294,967,297 =
, the first composite
Fermat number.
* 4,294,968,320 = Leyland number
* 4,295,032,832 = Leyland number
* 4,437,053,125 = 85
5
* 4,444,444,444 =
repdigit
* 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
* 5,584,059,449 = 89
5
* 5,784,634,181 = 13th
alternating factorial
Alternating may refer to:
Mathematics
* Alternating algebra, an algebra in which odd-grade elements square to zero
* Alternating form, a function formula in algebra
* Alternating group, the group of even permutations of a finite set
* Alterna ...
.
* 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 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
* 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
* 6,956,883,693 = 93
5
* 6,975,757,441 = 83521
2 = 289
4 = 17
8
* 6,983,776,800 = 15th
colossally abundant number, 15th
superior highly composite number
In mathematics, a superior highly composite number is a natural number which has the highest ratio of its number of divisors to ''some'' positive power of itself than any other number. It is a stronger restriction than that of a highly composite ...
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
* 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 natu ...
[
* 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.
* 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
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 ...
.
* 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
References
{{DEFAULTSORT:1000000000 (Number)
Integers
Large numbers