1,000,000,000 (alternately known as
one thousand million and
one billion, see below) is the
natural number following 999,999,999 and preceding 1,000,000,001.
In
scientific notation, it is written as 10
9.
In modern (
'short scale') English language usage, it is usually called a
billion (although in many other languages and
'long scale' usage, a billion means a million millions (or 1,000,000,000,000), instead of a thousand millions).
The term
milliard can also be used to refer to 1,000,000,000, though this terminology is rarely used in the English language, but often in
other languages.
Physical quantities can be expressed using the
SI prefix giga.
See
Orders of magnitude (numbers) for larger numbers; and
long and short scales.
Selected 10-digit numbers (1000000000 - 9999999999)
- 1023456789 - smallest pandigital number in base 10
- 1026753849 - smallest pandigital square, including 0
- 1073676287 - 15th Carol number
- 1073741824 = 230
- 1073807359 - 14th Kynea number
- 1129760415 - 23rd Motzkin number
- 1134903170 - 45th Fibonacci number
- 1162261467 = 319
- 1220703125 = 512
- 1234567890 - pandigital number with the digits in order
- 1311738121 - 25th Pell number
- 1382958545 - 15th Bell number
- 1406818759 - 30th Wedderburn-Etherington number
- 1836311903 - 46th Fibonacci number
- 1977326743 = 711
- 2147483647 - 8th Mersenne prime and the largest signed 32-bit integer
- 2147483648 = 231
- 2214502422 - 6th primary pseudoperfect number
- 2357947691 = 119
- 2971215073 - 11th Fibonacci prime (47th Fibonacci number)
- 3166815962 - 26th Pell number
- 3192727797 - 24th Motzkin number
- 3323236238 - 31st Wedderburn-Etherington number
- 3486784401 = 320
- 4294836223 - 16th Carol number
- 4294967295 - Maximum 32-bit unsigned integer (hexadecimal FFFFFFFF)
- 4294967296 = 232
- 4294967297 - the first composite Fermat number
- 4295098367 - 15th Kynea number
- 4807526976 - 48th Fibonacci number
- 5784634181 - 13th alternating factorial
- 6210001000 - only self-descriptive number in base 10
- 6227020800 = 13!
- 6983776800 - 15th colossally abundant number
- 7645370045 - 27th Pell number
- 7778742049 - 49th Fibonacci number
- 7862958391 - 32nd Wedderburn-Etherington number
- 8589869056 - 6th perfect number
- 8589934592 = 233
- 9043402501 - 25th Motzkin number
- 9814072356 - largest square pandigital number, largest pandigital pure power
- 9876543210 - largest pandigital number without redundant digits
Sense of scale
The facts below give a sense of how large 1,000,000,000 (10
9) is in the context of time:
- 109 seconds is about 31 years.
- About 109 minutes ago, the Roman Empire was flourishing. (109 minutes is roughly 1,900 years.)
- About 109 hours ago, modern human beings and their ancestors were living in the Stone Age (more precisely, the Middle Paleolithic). (109 hours is roughly 114,000 years.)
- About 109 days ago, Australopithecus, an ape-like creature related to an ancestor of modern humans, roamed the African savannas. (109 days is roughly 2.7 million years.)
- About 109 months ago, dinosaurs walked the earth during the late Cretaceous. (109 months is roughly 82 million years.)
- About 109 years ago, the first multicellular organisms appeared on Earth.
- The universe is currently thought to be about 13.7 × 109 years old.
In terms of distance:
In terms of finance:
In terms of count:
A is a cube;
B consists of 1000 cubes of type A.
C consists of 1000 Bs; and
D 1000 Cs. Thus there are 1 million As in C; and 1,000,000,000 As in D. Likewise, there are 1,000,000,000 cubic millimeters in a cubic meter.
This is a list of articles about numbers (not about numerals).
Rational numbers
Notable rational numbers
Natural numbers
0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
..... Click the link for more information. The integers (from the Latin integer, which means with untouched integrity, whole, entire) are the set of numbers including the whole numbers (0, 1, 2, 3, …) and their negatives (0, −1, −2, −3, …).
..... Click the link for more information.
One hundred million (100,000,000) is the natural number following 99999999 and preceding 100000001.
List of numbers - Integers
10000000 100000000 1000000000
Cardinal One hundred million
Ordinal One hundred millionth
Factorization 28 · 58
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This list compares various sizes of positive numbers, including counts of things, dimensionless numbers and probabilities.
Smaller than 10-36
- Computing: The number 510-324
..... Click the link for more information. cardinal numbers, or cardinals for short, are a generalized kind of number used to denote the size of a set, known as its cardinality. For finite sets the cardinality is given by a natural number, being simply the number of elements in the set.
..... Click the link for more information.
The
long and short scales are two different numerical systems used throughout the world:
- Short scale is the English translation of the French term échelle courte.
..... Click the link for more information. ordinal, ordinal number, and transfinite ordinal number refer to a type of number introduced by Georg Cantor in 1897, to accommodate infinite sequences and to classify sets with certain kinds of order structures on them.
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factorization (British English: also factorisation) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.
..... Click the link for more information.
binary numeral system, or base-2 number system, is a numeral system that represents numeric values using two symbols, usually 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2.
..... Click the link for more information.
hexadecimal, base-16, or simply hex, is a numeral system with a radix, or base, of 16, usually written using the symbols 0–9 and A–F, or a–f.
..... Click the link for more information.
In mathematics, a natural number can mean either an element of the set (i.e the positive integers or the counting numbers) or an element of the set (i.e. the non-negative integers).
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Scientific notation, also known as standard form, is a notation for writing numbers that is often used by scientists and mathematicians to make it easier to write large and small numbers.
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The
long and short scales are two different numerical systems used throughout the world:
- Short scale is the English translation of the French term échelle courte.
..... Click the link for more information. Billion may mean:
Numbers
Either of two numbers (see
long and short scales for more detail):
- 1,000,000,000 (one thousand million; ; SI prefix giga) - increasingly common meaning in English-language usage
..... Click the link for more information. The
long and short scales are two different numerical systems used throughout the world:
- Short scale is the English translation of the French term échelle courte.
..... Click the link for more information. Milliard is a French-derived word meaning the number 1,000,000,000 (109; one thousand million; SI prefix giga). It is not used in American English and is rare in other forms of English - the preferred term being 'thousand million'.
..... Click the link for more information.
The
long and short scales are two different numerical systems used throughout the world:
- Short scale is the English translation of the French term échelle courte.
..... Click the link for more information. An SI prefix (also known as a metric prefix) is a name or associated symbol that precedes a unit of measure (or its symbol) to form a decimal multiple or submultiple.
..... Click the link for more information.
Giga- (symbol: G) is a prefix in the SI system of units denoting 109, or 1,000,000,000 (1 billion). The Oxford English Dictionary reports the earliest written use of giga- in this sense to be in the Reports of the IUPAC 14th Conference in 1947: "The
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This list compares various sizes of positive numbers, including counts of things, dimensionless numbers and probabilities.
Smaller than 10-36
- Computing: The number 510-324
..... Click the link for more information. The
long and short scales are two different numerical systems used throughout the world:
- Short scale is the English translation of the French term échelle courte.
..... Click the link for more information. In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For example, 1223334444555567890 is a pandigital number in base 10.
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A Carol number is an integer of the form . An equivalent formula is . The first few Carol numbers are: −1, 7, 47, 223, 959, 3967, 16127, 65023, 261119, 1046527 (sequence [ A093112] in OEIS).
..... Click the link for more information.
A
Kynea number is an integer of the form
- .
An equivalent formula is
- .
This indicates that a Kynea number is the
nth power of 4 plus the (
n + 1)th Mersenne number.
..... Click the link for more information. In mathematics, a Motzkin number for a given number n (named after Theodore Motzkin) is the number of different ways of drawing non-intersecting chords on a circle between n points.
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Fibonacci numbers form a sequence defined by the following recurrence relation:
That is, after two starting values, each number is the sum of the two preceding numbers.
..... Click the link for more information. In mathematics, the Pell numbers and companion Pell numbers (Pell-Lucas numbers) are both sequences of integers that have been known since ancient times. They are defined by a recurrence relation similar to that for the Fibonacci numbers, and grow exponentially,
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In combinatorial mathematics, the nth Bell number, named in honor of Eric Temple Bell, is the number of partitions of a set with n members, or equivalently, the number of equivalence relations on it.
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In graph theory, the Wedderburn-Etherington numbers count how many weakly binary trees can be constructed: that is, the number of trees for which each graph vertex (not counting the root) is adjacent to no more than three other such vertices, for a given number of nodes.
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A Mersenne prime is a Mersenne number that is a prime number.
In mathematics, a Mersenne number is a number that is one less than a power of two,
As of August 2007, only 44 Mersenne primes are known; the largest known prime number (232,582,657
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