A decicentillion is equal to \(10^{333}\) in the short scale and \(10^{660}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 110th -illion number.
In the long scale, \(10^{333}\) is called quinquinquagintilliard.
Approximations[]
For the short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{333}\) (exact) | |
Arrow notation | \(10\uparrow 333\) (exact) | |
Steinhaus-Moser Notation | 152[3] | 153[3] |
Chained arrow notation | \(10\rightarrow 333\) (exact) | |
Taro's multivariable Ackermann function | A(3,1103) | A(3,1104) |
BEAF & Bird's array notation | {10,333} (exact) | |
Hyper-E notation | E333 (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)(152) | m(1)(153) |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)[19] | (0)(0)(0)(0)(0)(0)(0)(0)[20] |
Fast-growing hierarchy | \(f_2(1096)\) | \(f_2(1097)\) |
Hardy hierarchy | \(H_{\omega^2}(1096)\) | \(H_{\omega^2}(1097)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2 3+\omega 3+3}}(10)\) (exact) |
For the long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{660}\) (exact) | |
Arrow notation | \(10\uparrow 660\) (exact) | |
Steinhaus-Moser Notation | 271[3] | 272[3] |
Chained arrow notation | \(10\rightarrow 660\) (exact) | |
Taro's multivariable Ackermann function | A(3,2189) | A(3,2190) |
BEAF & Bird's array notation | {10,660} (exact) | |
Hyper-E notation | E660 (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)(271) | m(1)(272) |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)(0)[19] | (0)(0)(0)(0)(0)(0)(0)(0)(0)[20] |
Fast-growing hierarchy | \(f_2(2181)\) | \(f_2(2182)\) |
Hardy hierarchy | \(H_{\omega^2}(2181)\) | \(H_{\omega^2}(2182)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2 6+\omega 6}}(10)\) (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-)