An unquadragintillion is equal to 10126 in the short scale, or \(10^{246}\) in the long scale by Conway and Guy's naming system[1][2][3][4] and Jonathan Bowers system.[5]
In the long scale which is commonly used in France and Germany, \(10^{126}\) is called unvigintillion.
10126 was called kathana in Pali language of the 1st century B.C.[6]
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{126}\) | |
| Arrow notation | \(10\uparrow126\) | |
| Steinhaus-Moser Notation | 68[3] | 69[3] |
| Copy notation | 9[126] | 1[127] |
| Taro's multivariable Ackermann function | A(3,415) | A(3,416) |
| Pound-Star Notation | #*(0,11,3,10,10,4,8,1)*9 | #*(1,11,3,10,10,4,8,1)*9 |
| BEAF | {10,126} | |
| Hyper-E notation | E126 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[8659] | (0)(0)(0)(0)(0)[8660] |
| Hyperfactorial array notation | 83! | 84! |
| Fast-growing hierarchy | \(f_2(409)\) | \(f_2(410)\) |
| Hardy hierarchy | \(H_{\omega^2}(409)\) | \(H_{\omega^2}(410)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega2+6}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{246}\) | |
| Arrow notation | \(10\uparrow246\) | |
| Steinhaus-Moser Notation | 118[3] | 119[3] |
| Copy notation | 9[246] | 1[247] |
| Taro's multivariable Ackermann function | A(3,814) | A(3,815) |
| Pound-Star Notation | #*((387))*10 | #*((388))*10 |
| BEAF | {10,246} | |
| Hyper-E notation | E246 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[6978] | (0)(0)(0)(0)(0)(0)[6979] |
| Hyperfactorial array notation | 142! | 143! |
| Fast-growing hierarchy | \(f_2(807)\) | \(f_2(808)\) |
| Hardy hierarchy | \(H_{\omega^2}(807)\) | \(H_{\omega^2}(808)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega4+6}}(10)\) | |
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
- ↑ The Conway-Wechsler System
- ↑ Steve Olsen, Big-Ass Numbers
- ↑ Conway's zillion numbers. Retrieved 2021-07-28.
- ↑ Saibian, Sbiis. 2.4.8 Bowers' -illions - Large Numbers. Retrieved 2021-07-28.
- ↑ https://digitalcommons.butler.edu/cgi/viewcontent.cgi?article=2344&context=wordways
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
1,000–1030: 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