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'''One thousand million''' (1,000,000,000) is the [[natural number]] following 999,999,999 and preceding 1,000,000,001.
'''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<sup>9</sup>.
In [[scientific notation]], it is written as 10<sup>9</sup>.

Revision as of 08:02, 30 August 2007

List of numbers - Integers

100000000 1000000000 10000000000

Cardinal One billion (short scale)
Ordinal One billionth (short scale)
Factorization 29 · 59
Binary 111011100110101100101000000000
Hexadecimal 3B9ACA00

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 109.

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 (109) 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:

  • The possession of 109 United States dollars would place a person among the world's wealthiest individuals.
  • To understand the difference between 109 United States dollars and one million (106) United States dollars, consider: If an individual is given $106 and is told to spend $1,000 per day until all the money is gone (assuming, for discussion purposes, that he is given the money free of taxes or other restrictions that reduce the amount available to him), he will spend all the money in 1,000 days, or approximately 2.739726 years (2 years and 270 days, assuming a 365-day year every year). If, on the other hand, he is given $109 with the same instruction, it will take him 1,000,000 days, i.e., approximately 2,739.726 years (2,739 years and 265 days, again assuming a 365-day year every year). Of course, this example works with any other currency as well.

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.