A novenonagintaseptingentillion is equal to \(10^{2400}\) in the short scale and \(10^{4794}\) in the long scale by the Conway and Guy's naming system[1][2][3][4][5] as it is the 799th -illion number.
In the long scale, \(10^{2400}\) is called quadringentillion.[6]
NumLynx named short-scale value of this number as octingentisand, which is equal to 1000800 = 102400.[7]
RedBandServerYT calls this number yoctesimal-googol.[8]
Approximations[]
For the short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{2400}\) (exact) | |
| Arrow notation | \(10\uparrow 2400\) (exact) | |
| Steinhaus-Moser Notation | 823[3] | 824[3] |
| Chained arrow notation | \(10\rightarrow 2400\) (exact) | |
| Taro's multivariable Ackermann function | A(3,7969) | A(3,7970) |
| BEAF & Bird's array notation | {10,2400} (exact) | |
| Hyper-E notation | E2400 (exact) | |
| s(n) map | \(s(1)^3(\lambda x.x+1)(9)\) | \(s(1)^3(\lambda x.x+1)(10)\) |
| m(n) map | m(1)(823) | m(1)(824) |
| Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
| Fast-growing hierarchy | \(f_2(7959)\) | \(f_2(7960)\) |
| Hardy hierarchy | \(H_{\omega^2}(7959)\) | \(H_{\omega^2}(7960)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3 2+\omega^2 4}}(10)\) (exact) | |
For the long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{4794}\) (exact) | |
| Arrow notation | \(10\uparrow 4794\) (exact) | |
| Steinhaus-Moser Notation | 1508[3] | 1509[3] |
| Chained arrow notation | \(10\rightarrow 4794\) (exact) | |
| Taro's multivariable Ackermann function | A(3,15922) | A(3,15923) |
| BEAF & Bird's array notation | {10,4794} (exact) | |
| Hyper-E notation | E4794 (exact) | |
| s(n) map | \(s(1)^3(\lambda x.x+1)(10)\) | \(s(1)^3(\lambda x.x+1)(11)\) |
| m(n) map | m(1)(1508) | m(1)(1509) |
| Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
| Fast-growing hierarchy | \(f_2(15911)\) | \(f_2(15912)\) |
| Hardy hierarchy | \(H_{\omega^2}(15911)\) | \(H_{\omega^2}(15912)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3 4+\omega^2 7+\omega 9+4}}(10)\) (exact) | |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-05-11.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-05-11.
- ↑ Fish. Conway's zillion numbers. Retrieved 2023-05-11.
- ↑ Fish. Conway's illion converter - 10^2400. Retrieved 2023-05-11.
- ↑ Fish. Conway's illion converter - 10^2400 (long scale). Retrieved 2023-05-11.
- ↑ NumLynx's Large Numbers
- ↑ RedBandServerYT. n-ary numbers. Retrieved 26 November 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
Main article: -illion
700–709: septingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)710–719: deciseptingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
720–729: vigintiseptingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
730–739: trigintaseptingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
740–749: quadragintaseptingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
750–759: quinquagintaseptingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
760–769: sexagintaseptingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
770–779: septuagintaseptingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
780–789: octogintaseptingentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
790–799: nonagintaseptingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)