# 1,000,000,000

1000000000 | |
---|---|

Cardinal |
One billion (short scale) One thousand million, or one milliard (long scale) |

Ordinal | One billionth (short scale) |

Factorization |
2^{9} · 5^{9} |

Roman numeral | M |

Binary |
111011100110101100101000000000_{2} |

Ternary |
2120200200021010001_{3} |

Quaternary |
323212230220000_{4} |

Quinary |
4022000000000_{5} |

Senary |
243121245344_{6} |

Octal |
7346545000_{8} |

Duodecimal |
23AA93854_{12} |

Hexadecimal |
3B9ACA00_{16} |

Vigesimal |
FCA0000_{20} |

Base 36 |
GJDGXS_{36} |

**1,000,000,000** (one billion, short scale; one thousand million or milliard, yard,^{[1]} long scale) is the natural number following 999,999,999 and preceding 1,000,000,001. One billion can also be written as **b** or **bn**.^{[2]}^{[3]}

In scientific notation, it is written as **1 × 10 ^{9}**.

Previously in British English (but not in American English), the word "billion" referred exclusively to a million millions (1,000,000,000,000). However, this is no longer as common as earlier, and the word has been used to mean one thousand million (1,000,000,000) for some time.^{[4]}^{[5]} The alternative term "one thousand million" is mainly used in the U.K., or countries such as Spain that uses "one thousand million" as one million million constitutes a billion. The worded figure, as opposed to the numerical figure (one thousand million/$1,000,000,000) is used to differentiate between "one thousand million" or "one billion".

In the South Asian numbering system, it is known as 100 crore or 1 Arab.

The term * milliard* can also be used to refer to 1,000,000,000; whereas "milliard" is seldom used in English, variations on this name often appear in other languages (e.g. Slovenian

*Miljarda*, Hungarian (Magyar)

*milliárd*, Indonesian

*miliar*, Polish

*miliard*, Danish

*milliard*, Spanish

*millardo*, French

*milliard*, Italian

*miliardo*, Icelandic

*milljarður*, German

*Milliarde*, Hebrew מיליארד, Finnish

*miljardi*, Dutch

*miljard*, Croatian

*milijarda*, Serbian милијарда, Bulgarian милиард, Russian миллиард, Czech

*miliarda*, Arabic مليار, Romanian

*miliard*, Swedish

*miljard*, Norwegian

*milliard*, Turkish

*milyar*, Esperanto

*miliardo*).

The SI prefix giga indicates 1,000,000,000 times the base unit. Despite this, B remains the common abbreviation for this number.

See Orders of magnitude (numbers) for larger numbers; and long and short scales.

## Selected 10-digit numbers (1,000,000,000–9,999,999,999)

**1000000007**– smallest prime number with 10 digits.**1023456789**– smallest pandigital number in base 10.**1026753849**– smallest pandigital square that includes 0.**1073676287**– 15th Carol number.^{[6]}**1073741824**– 2^{30}**1073807359**– 14th Kynea number.^{[7]}**1129760415**– 23rd Motzkin number.^{[8]}**1134903170**– 45th Fibonacci number.**1162261467**– 3^{19}**1220703125**– 5^{13}**1234567890**– pandigital number with the digits in order.**1311738121**– 25th Pell number.^{[9]}**1382958545**– 15th Bell number.^{[10]}**1406818759**– 30th Wedderburn–Etherington number.^{[11]}**1836311903**– 46th Fibonacci number.**1882341361**– The least prime whose reversal is both square (40391^{2}) and triangular (triangular of 57121).**1977326743**– 7^{11}**2147483647**– 8th Mersenne prime and the largest signed 32-bit integer.**2147483648**– 2^{31}**2176782336**– 6^{12}**2214502422**– 6th primary pseudoperfect number.^{[12]}**2357947691**– 11^{9}**2971215073**– 11th Fibonacci prime (47th Fibonacci number).**3166815962**– 26th Pell number.^{[9]}**3192727797**– 24th Motzkin number.^{[8]}**3323236238**– 31st Wedderburn–Etherington number.^{[11]}**3405691582**– hexadecimal CAFEBABE; used as a placeholder in programming.**3405697037**– hexadecimal CAFED00D; used as a placeholder in programming.**3735928559**– hexadecimal DEADBEEF; used as a placeholder in programming.**3486784401**– 3^{20}**4294836223**– 16th Carol number.^{[6]}**4294967291**– Largest prime 32-bit unsigned integer.**4294967295**– Maximum 32-bit unsigned integer (FFFFFFFF_{16}), perfect totient number, product of the five prime Fermat numbers..**4294967296**– 2^{32}**4294967297**– the first composite Fermat number.**4295098367**– 15th Kynea number.^{[7]}**4807526976**– 48th Fibonacci number.**5784634181**– 13th alternating factorial.^{[13]}**6103515625**– 5^{14}**6210001000**– only self-descriptive number in base 10.**6227020800**– 13!**6975757441**– 17^{8}**6983776800**– 15th colossally abundant number,^{[14]}15th superior highly composite number^{[15]}**7645370045**– 27th Pell number.^{[9]}**7778742049**– 49th Fibonacci number.**7862958391**– 32nd Wedderburn–Etherington number.^{[11]}**8589869056**– 6th perfect number.^{[16]}**8589934592**– 2^{33}**9043402501**– 25th Motzkin number.^{[8]}**9814072356**– largest square pandigital number, largest pandigital pure power.**9876543210**– largest number without redundant digits.**9999999967**– greatest prime number with 10 digits.^{[17]}

## 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:

- 10
^{9}seconds is 114 days short of 32 calendar years (≈ 31.7 years). - About 10
^{9}minutes ago, the Roman Empire 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). (10^{9}hours is roughly 114,080 years.) - About 10
^{9}days ago,*Australopithecus*, an ape-like creature related to an ancestor of modern humans, roamed the African savannas. (10^{9}days is roughly 2.738 million years.) - About 10
^{9}months ago, dinosaurs walked the Earth during the late Cretaceous. (10^{9}months is roughly 83.3 million years.) - About 10
^{9}years—a gigaannus—ago, the first multicellular eukaryotes appeared on Earth. - It takes approximately 95 years to count from one to one billion in a single sitting.
^{[18]} - The universe is thought to be about 13.8 × 10
^{9}years old.^{[19]}

### Distance

- 10
^{9}inches is 15,783 miles (25,400 km), 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 gigameter) is almost three times the distance from the Earth to the Moon. - 10
^{9}kilometres is over six times the distance from the Earth to the Sun.

### Finance

- The possession of assets with total value of 10
^{9}United States dollars would place a person among the world's wealthiest individuals.

### Area

- A billion square inches would be a square about one half mile on a side.
- A piece of finely woven bed sheet cloth that contained a billion holes would measure about 500 square feet (46 m
^{2}), large enough to cover a moderate sized apartment.

### Volume

- There are a billion cubic millimeters in a cubic meter and there are a billion cubic meters in a cubic kilometer.
- A billion grains of table salt or granulated sugar would occupy a volume of about 2.5 cubic feet (0.071 m
^{3}). - A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.

### Products

- As of July 2016, Apple has sold one billion iPhones.
^{[20]}This makes the iPhone one of the most successful product lines in history, surpassing the Sony Playstation and the Rubik's Cube. - As of July 2016, Facebook has 1.71 billion users.
^{[21]}

### Nature

- A small mountain, slightly larger than Stone Mountain 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,
^{[22]}which covers 4,000 miles of the Mediterranean coast.

### Count

**A** is a cube; **B** consists of 1000 cubes of type A, **C** consists of 1000 Bs; and **D** consists of 1000 Cs. Thus there are 1 million As in C; and 1,000,000,000 As in D.

## References

- ↑ http://www.investopedia.com/terms/y/yard.asp
- ↑ "figures".
*The Economist Style Guide*(11th ed.). The Economist. 2015. - ↑ "6.5 Abbreviating 'million' and 'billion'".
*English Style Guide. A handbook for authors and translators in the European Commission*(PDF) (8th ed.). 5 October 2016. p. 31. - ↑ "How many is a billion?".
*oxforddictionaries.com*. - ↑ https://books.google.com/ngrams/graph?content=billion%2Cthousand+million%2Cmilliard&year_start=1808&year_end=2008&corpus=18&smoothing=3&share=
- 1 2 "Sloane's A093112 : a(n) = (2^n-1)^2 - 2".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - 1 2 "Sloane's A093069 : a(n) = (2^n + 1)^2 - 2".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - 1 2 3 "Sloane's A001006 : Motzkin numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - 1 2 3 "Sloane's A000129 : Pell numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "Sloane's A000110 : Bell or exponential numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - 1 2 3 "Sloane's A001190 : Wedderburn-Etherington numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "Sloane's A054377 : Primary pseudoperfect numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "Sloane's A005165 : Alternating factorials".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "Sloane's A004490 : Colossally abundant numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "Sloane's A002201 : Superior highly composite numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "Sloane's A000396 : Perfect numbers".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-06-18. - ↑ "greatest prime number with 10 digits". Wolfram Alpha. Retrieved July 15, 2014.
- ↑ "How much is a billion?".
*Math Forum*. Retrieved 8 May 2015. - ↑ "Cosmic Detectives". The European Space Agency (ESA). 2013-04-02. Retrieved 2013-05-01.
- ↑ Panken, Eli (27 July 2016). "Apple Announces It Has Sold One Billion iPhones". NBC News. Retrieved 28 July 2016.
- ↑ Seethamaram, Deep (27 July 2016). "Facebook Posts Strong Profit and Revenue Growth". Wall Street Journal. Retrieved 28 July 2016.
- ↑ Burke, Jeremy. "How the World Became A Giant Ant Colony".
*Atlas Obscura*. Retrieved 28 July 2016.