Billion dollars visualised.
A billion is equal to 109 = 1,0003 = 1,000,000,000.[1][2] Like a million, a billion is often used as an exaggeration to mean an indefinitely large number.
In the long scale, 109 is called milliard,[1] whereas "billion" refers to 1012 = 1,000,000,000,000. These definitions are no longer used in English-speaking countries, but there are equivalents in other languages such as French and German.
To prevent confusion with the similar sounding "million", or with 1012, even some languages, such as Turkish, which otherwise use short scale, use the term "milliard" (Turkish: "milyar") for 109.
Alternative names[]
Other names for this number are gillion[3] (from giga-, in Rowlett's Greek-based system) and tretillion[4] (by Aarex Tiaokhiao).
Wikia user NumLynx gave the name trisand for this number's short scale value.[5] They also gave the name ennaplex, coined in analogy to ennalogue. [6]
Nirvana Supermind calls this number six-ex-grand zeroogol , and it's equal to Q<10,five-ex-grand zeroogol> in Quick array notation[7].
Aarex Tiaokhiao calls this number noovol, 9-noogol[8], or goonaolheptault, and it's equal to a(10,100,0)x[7] in Aarex's Array Notation.[9]
Username5243 calls this number niloogolsextiplex or goonvol, and it's equal to 10[1]9 in Username5243's Array Notation.[10]
BlankEntity calls this number Noogil.[11]
This number is called one arab in the Indian number system[12].
Examples[]
- One billion seconds is roughly 31.7 years, and billion minutes is nearly two millenia. 12:32 AM, April 29, 1902 marked exactly one billion minutes from 1 A.D.
- The internet contains more than a billion webpages.[13]
- It would take 951 years for a faucet running on full power to waste a billion gallons of water.[13]
- Gangnam Style, a hit single/music video by Korean rapper PSY, became the first YouTube video to reach 1 billion views in December 2012. It has nearly 3 billion views, and it held the former record of the video with the most views. As of August 2024, the current record is Baby Shark Dance with more than 14.73 billion views.[14]
- The world population is around 8 billion.
- The SI prefix giga- multiplies by one billion.
- You could make 1,000 sand castles each containing a million grains of sand with 1 billion grains of sand.
- The oldest billionaire of all time was Walter Haefner who died at the age of 101.
- At about 5 billion years, the Sun will become a red giant.
- The Earth formed about 4.6 billion years ago.
[]
Some currencies, such as the German Papiermark, the Hungarian pengő and the third Zimbabwean dollar, had banknotes with this number in the denomination.
It was also the prize for correctly answering all fifteen questions in the Italian game show Chi vuol essere miliardario? in Italian lire.
Furthermore, it was also the prize for correctly answering the first six questions in the Turkish game show Kim 500 Milyar İster? in first Turkish lira.
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^9\) | |
| Arrow notation | \(10\uparrow9\) | |
| Steinhaus-Moser Notation | 9[3] | 10[3] |
| Copy notation | 9[9] | 10[5] |
| Taro's multivariable Ackermann function | A(3,26) | A(3,27) |
| Pound-Star Notation | #*(1,2,3)*3 | #*(2,2,3)*3 |
| BEAF | {10,9} | |
| Hyper-L Notation | L(9) | |
| Hyper-E notation | E9 | |
| Bashicu matrix system | (0)[31622] | (0)[31623] |
| Hyperfactorial array notation | 12! | 13! |
| Fast-growing hierarchy | \(f_2(25)\) | \(f_2(26)\) |
| Hardy hierarchy | \(H_{\omega^2}(25)\) | \(H_{\omega^2}(26)\) |
| Slow-growing hierarchy | \(g_{\omega^9}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{12}\) | |
| Arrow notation | \(10\uparrow12\) | |
| Steinhaus-Moser Notation | 11[3] | 12[3] |
| Copy notation | 9[12] | 1[13] |
| Taro's multivariable Ackermann function | A(3,36) | A(3,37) |
| Pound-Star Notation | #*(4,2,3)*4 | #*(1,2)*8 |
| BEAF | {10,12} | |
| Hyper-L Notation | L(12) | |
| Hyper-E notation | E12 | |
| Bashicu matrix system | (0)(0)[1000] | |
| Hyperfactorial array notation | 14! | 15! |
| Fast-growing hierarchy | \(f_2(34)\) | \(f_2(35)\) |
| Hardy hierarchy | \(H_{\omega^2}(34)\) | \(H_{\omega^2}(35)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega+2}}(10)\) | |
Sources[]
- ↑ 1.0 1.1 Conway and Guy. The Book of Numbers. Copernicus. 1995. ISBN 978-0387979939 p.16
- ↑ Billion at Wolfram MathWorld
- ↑ Rowlett, Russ. Names for Large Numbers. Retrieved 2013-05-15.
- ↑ Aarex Tiaokhiao's illion numbers
- ↑ -sand numbers. Retrieved 2021-10-28.
- ↑ -plex numbers. Retrieved 2021-11-21.
- ↑ Numbers from quick array notation
- ↑ Part 1 (LAN) - Aarex Googology[dead link]
- ↑ AAN Numbers - P1 - Aarex Googology[dead link]
- ↑ Part 1 - My Large Numbers
- ↑ BlankEntity's Googology Site
- ↑ [1]
- ↑ 13.0 13.1 Saibian, Sbiis. 2.1.4 - Everyday Large Numbers for a Modern World. Retrieved 2013-05-15.
- ↑ Top 10 Most-viewed Videos On YouTube In 2024 - Forbes India
See also[]
2-entry series: Zero-quinvicenol · Zeroogol · Grand zeroogol · Two-ex-grand zeroogol · Three-ex-grand zeroogol · Four-ex-grand zeroogol · Five-ex-grand zeroogol · Six-ex-grand zeroogol · Seven-ex-grand zeroogol · Eight-ex-grand zeroogol · Nine-ex-grand zeroogol · Zero-unol · Zero-binol
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1030: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct · ront · quect