A novemviginticentillion is equal to \(10^{390}\) in the short scale and \(10^{774}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 129th -illion number.
In the long scale, \(10^{390}\) is called quinsexagintillion.
Approximations[]
For the short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{390}\) (exact) | |
Arrow notation | \(10\uparrow 390\) (exact) | |
Steinhaus-Moser Notation | 174[3] | 175[3] |
Chained arrow notation | \(10\rightarrow 390\) (exact) | |
Taro's multivariable Ackermann function | A(3,1292) | A(3,1293) |
BEAF & Bird's array notation | {10,390} (exact) | |
Hyper-E notation | E390 (exact) | |
s(n) map | \(s(1)^3(\lambda x.x+1)(7)\) | \(s(1)^3(\lambda x.x+1)(8)\) |
m(n) map | m(1)(174) | m(1)(175) |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)[33] | (0)(0)(0)(0)(0)(0)(0)(0)[34] |
Fast-growing hierarchy | \(f_2(1285)\) | \(f_2(1286)\) |
Hardy hierarchy | \(H_{\omega^2}(1285)\) | \(H_{\omega^2}(1286)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2 3+\omega 9}}(10)\) (exact) |
For the long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{774}\) (exact) | |
Arrow notation | \(10\uparrow 774\) (exact) | |
Steinhaus-Moser Notation | 310[3] | 311[3] |
Chained arrow notation | \(10\rightarrow 774\) (exact) | |
Taro's multivariable Ackermann function | A(3,2568) | A(3,2569) |
BEAF & Bird's array notation | {10,774} (exact) | |
Hyper-E notation | E774 (exact) | |
s(n) map | \(s(1)^3(\lambda x.x+1)(8)\) | \(s(1)^3(\lambda x.x+1)(9)\) |
m(n) map | m(1)(310) | m(1)(311) |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)(0)[32] | (0)(0)(0)(0)(0)(0)(0)(0)(0)[33] |
Fast-growing hierarchy | \(f_2(2559)\) | \(f_2(2560)\) |
Hardy hierarchy | \(H_{\omega^2}(2559)\) | \(H_{\omega^2}(2560)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2 7+\omega 7+4}}(10)\) (exact) |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-11.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-11.
- ↑ Fish. Conway's zillion numbers. Retrieved 2023-02-11.
See also[]
Main article: -illion
100–109: centillion (un- · duo- · tres- · quattuor- · quin- · sex- · septen- · octo- · noven-)110–119: decicentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
120–129: viginticentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
130–139: trigintacentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
140–149: quadragintacentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
150–159: quinquagintacentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
160–169: sexagintacentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
170–179: septuagintacentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
180–189: octogintacentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
190–199: nonagintacentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)