One million is a number equal to 106 = 1003 = 1,0002 = 1,000,000 = 1E6 = one followed by six zeroes (in both the short scale and the long scale).[1][2] It is both a square number and cubic number. It is often used as hyperbole or exaggeration to represent an indefinitely large number. A million is one of the first names of numbers to be generally considered big by most people's standards. The name came from the Old Italian word "millione", which serves as an augmentative of "mille", meaning thousand, derived from Latin.[3]
Alternative names[]
- Aarex Tiaokhiao gave the name duillion, referring to the value of this number.[4] He also calls this number sooxol, 6-noogol[5], or goonaoltetrault, and it's equal to a(101000)x[4] in Aarex's Array Notation.[6]
- Wikia user NumLynx gave the name bisand for this number.[7] They also gave the name hexaplex, coined in analogy to hexalogue. [8]
- Yottatron (AKA Jamiem2001 on Googology Wiki) gave the name Duolillion, referring to the value of this number.[9]
- Username5243 calls this number niloogoltriplex or goosol, and it's equal to 10[1]6 in Username5243's Array Notation.[10]
- Nirvana Supermind calls this number three-ex-grand zeroogol , and it's equal to Q<10,two-ex-grand zeroogol> in Quick array notation[11].
- BlankEntity calls this number Noogol.[12]
- DeepLineMadom calls the number boogoltriplex, and is equal to 10[2]10[2]10[2]10[2]100 in DeepLineMadom's Array Notation[13]. It is not to be confused with the much larger Bowers' boogoltriplex, which is {10,10,{10,10,{10,10,{10,10,100}}}} in BEAF.
Examples[]
- One million milliseconds is approximately 16.67 minutes, one million seconds is approximately 11.57 days, one million minutes is about 1.9 years, one million hours is about 114 years, one million days is about 2,739 years, one million weeks is about 19,178 years, one million months is approximately 83,333 years, one million years is 12 million months, one million decades is 10 million years, one million centuries is 100 million years, and one million millenniums is one billion years. One millenium has 8.76 million hours.
- One million cubic centimeters (cm3) equals one cubic meter (m3). Therefore, one million grams (which is equivalent to 1000 kilograms) of water approximately equals one cubic meter (m3).
- Sbiis Saibian computed that if a person walked one thousand miles every 31 days, after 75 years, that person would have managed to walk about 8.83 million miles.[14]
- A tower of a million people is about four times higher than the International Space Station.
- A million one-dollar bills would cover the area of two football fields.
- The country of Kazakhstan is slightly larger than a million square miles in area; and the country of Egypt is slightly larger than a million square kilometers in area.[15]
- The state of Alaska is about 1.7 million square kilometers in area.[16]
In googology[]
- In Greek-based number-naming systems, a million is associated with SI prefix mega-, and with SI prefix micro- in Latin systems.
- A million is the boundary between class 1 and class 2 numbers in Robert Munafo's idea (see class for more).[17]
- A million appears in the definition of Aarex's Graham Generator as well as googolisms formed using it such as forcal.
[]
- There are Iranian rial Iran Cheques with this number in the denomination.
- Some other currencies, such as the third Polish złoty and the first Turkish lira, had banknotes with this number in the denomination.
- It is also the prize for correctly answering all fifteen questions in some national editions of the game show Who Wants to Be a Millionaire? in the respective local currency.
- It was also the prize for correctly answering the first five questions in the Italian game show Chi vuol essere miliardario? in Italian lire.
- It was also the prize for correctly answering the first ten questions in the Japanese game show Quiz $ Millionaire in Japanese yen.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^6\) | |
Arrow notation | \(10\uparrow6\) | |
Steinhaus-Moser Notation | 7[3] | 8[3] |
Copy notation | 9[6] | 1[7] |
Chained arrow notation | \(10\rightarrow6\) | |
Taro's multivariable Ackermann function | A(3,16) | A(3,17) |
H* function | H*(1) | |
PlantStar's Debut Notation | [3] | [4] |
BEAF | {10,6} | |
Hyper-L Notation | \(L(6)\) | |
Hyper-E notation | E6 | |
Bashicu matrix system | (0)[1000] | |
Hyperfactorial array notation | 9! | 10! |
Bird's array notation | {10,6} | |
Strong array notation | s(10,6) | |
Fast-growing hierarchy | \(f_2(15)\) | \(f_2(16)\) |
Hardy hierarchy | \(H_{\omega^2}(15)\) | \(H_{\omega^2}(16)\) |
Slow-growing hierarchy | \(g_{\omega^6}(10)\) |
See also[]
Sources[]
- ↑ Conway and Guy. The Book of Numbers. Copernicus. 1995. ISBN 978-0387979939 p.16
- ↑ Million at Wolfram MathWorld
- ↑ http://www.merriam-webster.com/dictionary/million
- ↑ Aarex Tiaokhiao's illion numbers[dead link]
- ↑ Part 1 (LAN) - Aarex Googology[dead link]
- ↑ AAN Numbers - P1 - Aarex Googology[dead link]
- ↑ -sand numbers. Retrieved 2021-10-28.
- ↑ -plex numbers. Retrieved 2021-11-21.
- ↑ Yottatron's Latin -illion numbers [dead link]
- ↑ Part 1 - My Large Numbers
- ↑ Numbers from quick array notation
- ↑ BlankEntity's Googology Site (Retrieved 10 June, 2022)
- ↑ DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)
- ↑ 2.1.4 - Everyday Large Numbers for a Modern World
- ↑ https://simple.wikipedia.org/wiki/List_of_countries_by_area
- ↑ [1]
- ↑ http://mrob.com/pub/math/largenum.html#class2
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
1,000–1024: 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