A septenquadragintillion is equal to \(10^{144}\) or \(10^{282}\) in France and Germany by Conway-Wechsler system.[1][2][3][4][5]
In the long scale which is commonly used in France and Germany, \(10^{144}\) is called quattuorvigintillion.
Decimal expansion[]
In short scale:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
In long scale:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
In metrology[]
It is also the largest unit conversion factor (namely, the number of cubic yoctometres in a cubic yottametre).
Approximations[]
For short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{144}\) | |
Arrow notation | \(10\uparrow144\) | |
Steinhaus-Moser Notation | 76[3] | 77[3] |
Copy notation | 9[144] | 1[145] |
Taro's multivariable Ackermann function | A(3,475) | A(3,476) |
Pound-Star Notation | #*(10,11,11,12,2,4,3,4)*10 | #*(11,11,11,12,2,4,3,4)*10 |
BEAF | {10,144} | |
Hyper-E notation | E144 | |
Bashicu matrix system | (0)(0)(0)(0)(0)[31622] | (0)(0)(0)(0)(0)[31623] |
Hyperfactorial array notation | 92! | 93! |
Fast-growing hierarchy | \(f_2(469)\) | \(f_2(470)\) |
Hardy hierarchy | \(H_{\omega^2}(469)\) | \(H_{\omega^2}(470)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega4+4}}(10)\) |
For long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{282}\) | |
Arrow notation | \(10\uparrow282\) | |
Steinhaus-Moser Notation | 132[3] | 133[3] |
Copy notation | 9[282] | 1[283] |
Taro's multivariable Ackermann function | A(3,933) | A(3,934) |
Pound-Star Notation | #*((31))*11 | #*((32))*11 |
BEAF | {10,282} | |
Hyper-E notation | E282 | |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)[25482] | (0)(0)(0)(0)(0)(0)[25483] |
Hyperfactorial array notation | 158! | 159! |
Fast-growing hierarchy | \(f_2(926)\) | \(f_2(927)\) |
Hardy hierarchy | \(H_{\omega^2}(926)\) | \(H_{\omega^2}(927)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega8+2}}(10)\) |
List of prefixed numbers derived from quadragintillion[]
Name | Short scale | Long scale |
---|---|---|
unquadragintillion | 10126 | 10246 |
duoquadragintillion | 10129 | 10252 |
tresquadragintillion | 10132 | 10258 |
quattuorquadragintillion | 10135 | 10264 |
quinquadragintillion | 10138 | 10270 |
sesquadragintillion | 10141 | 10276 |
septenquadragintillion | 10144 | 10282 |
octoquadragintillion | 10147 | 10288 |
novenquadragintillion | 10150 | 10294 |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Steve Olsen, Big-Ass Numbers
- ↑ The Conway-Wechsler System
- ↑ Extensions to the -illions I: Henkle, Conway, and Rowlett
- ↑ Fish. Conway's zillion numbers, July 25, 2021
See also[]
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: 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