A trequadragintillion or tresquadragintillion) is equal to \(10^{132}\) in the short scale, or \(10^{258}\) in the long scale. Tresquadragintillion is a name by Conway and Guy's naming system,[1][2][3] and trequadragintillion is a name adapted from the Conway's system.[4]
In the long scale which is commonly used in France and Germany, \(10^{132}\) is called duovigintillion.
Approximations
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{132}\) | |
| Arrow notation | \(10\uparrow132\) | |
| Steinhaus-Moser Notation | 71[3] | 72[3] |
| Copy notation | 9[132] | 1[133] |
| Taro's multivariable Ackermann function | A(3,435) | A(3,436) |
| Pound-Star Notation | #*(13,11,8,6,10,4,5,4)*9 | #*(14,11,8,6,10,4,5,4)*9 |
| BEAF | {10,132} | |
| Hyper-E notation | E132 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[13335] | (0)(0)(0)(0)(0)[13336] |
| Hyperfactorial array notation | 86! | 87! |
| Fast-growing hierarchy | \(f_2(429)\) | \(f_2(430)\) |
| Hardy hierarchy | \(H_{\omega^2}(429)\) | \(H_{\omega^2}(430)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega3+2}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{258}\) | |
| Arrow notation | \(10\uparrow258\) | |
| Steinhaus-Moser Notation | 123[3] | 124[3] |
| Copy notation | 9[258] | 1[259] |
| Taro's multivariable Ackermann function | A(3,854) | A(3,855) |
| Pound-Star Notation | #*((1658))*10 | #*((1659))*10 |
| BEAF | {10,258} | |
| Hyper-E notation | E258 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[10746] | (0)(0)(0)(0)(0)(0)[10747] |
| Hyperfactorial array notation | 147! | 148! |
| Fast-growing hierarchy | \(f_2(847)\) | \(f_2(848)\) |
| Hardy hierarchy | \(H_{\omega^2}(847)\) | \(H_{\omega^2}(848)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega5+8}}(10)\) | |
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
- ↑ Big-Ass Numbers
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ The Conway-Wechsler System
- ↑ About English numerals
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