A quadragintillion is equal to 10123 in America, or 10240 in France and Germany.[1]
In the long scale which is commonly used in France and Germany, \(10^{123}\) is called vigintilliard.
Approximations
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{123}\) | |
| Arrow notation | \(10\uparrow123\) | |
| Steinhaus-Moser Notation | 67[3] | 68[3] |
| Copy notation | 9[123] | 10[62] |
| Taro's multivariable Ackermann function | A(3,405) | A(3,406) |
| Pound-Star Notation | #*(5,1,8,4,7,1,5,7)*8 | #*(6,1,8,4,7,1,5,7)*8 |
| BEAF | {10,123} | |
| Hyper-E notation | E123 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[6978] | (0)(0)(0)(0)(0)[6979] |
| Hyperfactorial array notation | 82! | 83! |
| Fast-growing hierarchy | \(f_2(399)\) | \(f_2(400)\) |
| Hardy hierarchy | \(H_{\omega^2}(399)\) | \(H_{\omega^2}(400)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega2+3}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{240}\) | |
| Arrow notation | \(10\uparrow240\) | |
| Steinhaus-Moser Notation | 116[3] | 117[3] |
| Copy notation | 9[240] | 1[241] |
| Taro's multivariable Ackermann function | A(3,794) | A(3,795) |
| Pound-Star Notation | #*((187))*10 | #*((188))*10 |
| BEAF | {10,240} | |
| Hyper-E notation | E240 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[5623] | (0)(0)(0)(0)(0)(0)[5624] |
| Hyperfactorial array notation | 139! | 140! |
| Fast-growing hierarchy | \(f_2(787)\) | \(f_2(788)\) |
| Hardy hierarchy | \(H_{\omega^2}(787)\) | \(H_{\omega^2}(788)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega4}}(10)\) | |
List of prefixed numbers derived from quadragintillion
| Name | Short scale | Long scale |
|---|---|---|
| unquadragintillion | 10126 | 10246 |
| duoquadragintillion | 10129 | 10252 |
| trequadragintillion | 10132 | 10258 |
| quattuorquadragintillion | 10135 | 10264 |
| quinquadragintillion | 10138 | 10270 |
| sexquadragintillion | 10141 | 10276 |
| septenquadragintillion | 10144 | 10282 |
| octoquadragintillion | 10147 | 10288 |
| novemquadragintillion | 10150 | 10294 |
Sources
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