# 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} |

Greek numeral | <math>\stackrel{\iota}{\Mu}</math> |

Roman numeral | M |

Binary | 111011100110101100101000000000_{2} |

Ternary | Template:Ternary |

Quaternary | Template:Quaternary |

Quinary | Template:Quinary |

Senary | Template:Senary |

Octal | 7346545000_{8} |

Duodecimal | 23AA93854_{12} |

Hexadecimal | 3B9ACA00_{16} |

Vigesimal | Template:Vigesimal |

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}**. The metric prefix giga indicates 1,000,000,000 times the base unit. Its symbol is

**G**.

One billion years may be called an *eon*/*aeon* in astronomy or geology.

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 common, and the word has been used to mean one thousand million (1,000,000,000) for several decades.^{[4]}

The term * milliard* can also be used to refer to 1,000,000,000; whereas "milliard" is rarely used in English,

^{[5]}variations on this name often appear in other languages.

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

## Sense of scale[edit source | edit]

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[edit source | edit]

- 10
^{9}seconds (1 gigasecond) is approximately 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. - 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 10 billion years.) - The universe is thought to be about 13.8 × 10
^{9}years old.^{[6]}

### Distance[edit source | edit]

- 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 gigametre) is almost three times the distance from the Earth to the Moon. - 10
^{9}kilometres (called a terameter) is over six times the distance from the Earth to the Sun.

### Area[edit source | edit]

- 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[edit source | edit]

- There are a billion cubic millimetres in a cubic metre and there are a billion cubic metres in a cubic kilometre.
- 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.

### Weight[edit source | edit]

- Any object that weighs one billion kilograms (2.2×10
^{9}lb) would weigh about as much as 5,525 empty Boeing 747-400s. - A cube of iron that weighs one billion pounds (450,000,000 kg) would be 1,521 feet 4 inches (0.28813 mi; 463.70 m) on each side.

### Products[edit source | edit]

- As of July 2016, Apple has sold one billion iPhones.
^{[7]}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.
^{[8]}

### Nature[edit source | edit]

- A small mountain, slightly larger than Stone Mountain 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,
^{[9]}which covers almost 4,000 miles (6,400 km) of the Mediterranean coast. - In 1804, the world population was one billion.

### Count[edit source | edit]

**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 1 million *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)[edit source | edit]

### 1,000,000,001 to 1,999,999,999[edit source | edit]

**1,000,000,007**– smallest prime number with 10 digits.^{[10]}**1,000,014,129**– smallest ten-digit square.**1,023,456,789**– smallest pandigital number in base 10.**1,026,753,849**– smallest pandigital square that includes 0.**1,073,676,287**– 15th Carol number.^{[11]}**1,073,741,824**– 2^{30}**1,073,807,359**– 14th Kynea number.^{[12]}**1,111,111,111**– repunit, also a special number relating to the passing of Unix time.**1,129,760,415**– 23rd Motzkin number.^{[13]}**1,134,903,170**– 45th Fibonacci number.**1,162,261,467**– 3^{19}**1,220,703,125**– 5^{13}**1,232,922,769**– Centered hexagonal number.**1,280,000,000**– 20^{7}**1,234,567,890**– pandigital number with the digits in order.**1,311,738,121**– 25th Pell number.^{[14]}**1,382,958,545**– 15th Bell number.^{[15]}**1,406,818,759**– 30th Wedderburn–Etherington number.^{[16]}**1,475,789,056**– 14^{8}**1,631,432,881**– Triangular square number.**1,673,196,525**– Lowest common multiple of the odd integers from 1 to 25**1,787,109,376**– 1-automorphic number^{[17]}**1,836,311,903**– 46th Fibonacci number.**1,882,341,361**– The smallest prime whose reversal is both square (40391^{2}) and triangular (triangular of 57121).**1,977,326,743**– 7^{11}

### 2,000,000,000 to 2,999,999,999[edit source | edit]

**2,038,074,743**– 100,000,000th prime number**2,147,483,647**– 8th Mersenne prime and the largest signed 32-bit integer.**2,147,483,648**– 2^{31}**2,176,782,336**– 6^{12}**2,214,502,422**– 6th primary pseudoperfect number.^{[18]}**2,357,947,691**– 11^{9}**2,562,890,625**– 15^{8}**2,971,215,073**– 11th Fibonacci prime (47th Fibonacci number).

### 3,000,000,000 to 3,999,999,999[edit source | edit]

**3,166,815,962**– 26th Pell number.^{[14]}**3,192,727,797**– 24th Motzkin number.^{[13]}**3,323,236,238**– 31st Wedderburn–Etherington number.^{[16]}**3,405,691,582**– hexadecimal CAFEBABE; used as a placeholder in programming.**3,405,697,037**– hexadecimal CAFED00D; used as a placeholder in programming.**3,486,784,401**– 3^{20}**3,735,928,559**– hexadecimal DEADBEEF; used as a placeholder in programming.

### 4,000,000,000 to 4,999,999,999[edit source | edit]

**4,294,836,223**– 16th Carol number.^{[11]}**4,294,967,291**– Largest prime 32-bit unsigned integer.**4,294,967,295**– Maximum 32-bit unsigned integer (FFFFFFFF_{16}), perfect totient number, product of the five prime Fermat numbers <math>F_0</math> through <math>F_4</math>.**4,294,967,296**– 2^{32}**4,294,967,297**– <math>F_5</math>, the first composite Fermat number.**4,295,098,367**– 15th Kynea number.^{[12]}**4,807,526,976**– 48th Fibonacci number.

### 5,000,000,000 to 5,999,999,999[edit source | edit]

**5,159,780,352**– 12^{9}**5,354,228,880**– superior highly composite number, smallest number divisible by all the numbers 1 through 24**5,784,634,181**– 13th alternating factorial.^{[19]}

### 6,000,000,000 to 6,999,999,999[edit source | edit]

**6,103,515,625**– 5^{14}**6,210,001,000**– only self-descriptive number in base 10.**6,227,020,800**– 13!**6,975,757,441**– 17^{8}**6,983,776,800**– 15th colossally abundant number,^{[20]}15th superior highly composite number^{[21]}

### 7,000,000,000 to 7,999,999,999[edit source | edit]

**7,645,370,045**– 27th Pell number.^{[14]}**7,778,742,049**– 49th Fibonacci number.**7,862,958,391**– 32nd Wedderburn–Etherington number.^{[16]}

### 8,000,000,000 to 8,999,999,999[edit source | edit]

**8,212,890,625**– 1-automorphic number^{[17]}**8,589,869,056**– 6th perfect number.^{[22]}**8,589,934,592**– 2^{33}

### 9,000,000,000 to 9,999,999,999[edit source | edit]

**9,043,402,501**– 25th Motzkin number.^{[13]}**9,814,072,356**– largest square pandigital number, largest pandigital pure power.**9,876,543,210**– largest number without redundant digits.**9,999,999,967**– greatest prime number with ten digits.^{[23]}

## References[edit source | edit]

- ↑ "Yard".
*Investopedia*. Retrieved 13 November 2017. - ↑ "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.). European Commission. 3 November 2017. p. 32. - ↑ "How many is a billion?".
*OxfordDictionaries.com*. Retrieved 13 November 2017. - ↑ "billion,thousand million,milliard".
*Google Ngram Viewer*. Retrieved 13 November 2017. - ↑ "Cosmic Detectives".
*European Space Agency*. 2 April 2013. - ↑ Panken, Eli (27 July 2016). "Apple Announces It Has Sold One Billion iPhones".
*NBCNews.com*. Retrieved 13 November 2017. - ↑ Seethamaram, Deep (27 July 2016). "Facebook Posts Strong Profit and Revenue Growth".
*The Wall Street Journal*. Retrieved 13 November 2017. - ↑ Burke, Jeremy (16 June 2015). "How the World Became A Giant Ant Colony".
*Atlas Obscura*. Retrieved 13 November 2017. - ↑ Sloane, N. J. A. (ed.). "Sequence A003617 (Smallest n-digit prime)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑
^{11.0}^{11.1}Sloane, N. J. A. (ed.). "Sequence A093112 (a(n) = (2^n-1)^2 - 2)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑
^{12.0}^{12.1}Sloane, N. J. A. (ed.). "Sequence A093069 (a(n) = (2^n + 1)^2 -)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑
^{13.0}^{13.1}^{13.2}Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑
^{14.0}^{14.1}^{14.2}Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A000110 (Bell or exponential numbers)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑
^{16.0}^{16.1}^{16.2}Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑
^{17.0}^{17.1}Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2019-04-06.CS1 maint: ref=harv (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A054377 (Primary pseudoperfect numbers)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A005165 (Alternating factorials)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A004490 (Colossally abundant numbers)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A002201 (Superior highly composite numbers)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A000396 (Perfect numbers)".
*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation.CS1 maint: ref=harv (link) - ↑ "Greatest prime number with 10 digits".
*Wolfram Alpha*. Retrieved 13 November 2017.

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