An undecicentillion is equal to \(10^{336}\) in the short scale and \(10^{666}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 111th -illion number.
In the long scale, \(10^{336}\) is called sesquinquagintillion.
Approximations[]
For the short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{336}\) | |
| Arrow notation | \(10\uparrow 336\) | |
| Taro's multivariable Ackermann function | A(3,1113) | A(3,1114) |
| BEAF | {10,336} | |
| Hyper-E notation | E336 | |
| Fast-growing hierarchy | \(f_2(1106)\) | \(f_2(1107)\) |
| Hardy hierarchy | \(H_{\omega^2}(1106)\) | \(H_{\omega^2}(1107)\) |
For the long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{666}\) | |
| Arrow notation | \(10\uparrow 666\) | |
| Taro's multivariable Ackermann function | A(3,2209) | A(3,2210) |
| BEAF | {10,666} | |
| Hyper-E notation | E666 | |
| Fast-growing hierarchy | \(f_2(2201)\) | \(f_2(2202)\) |
| Hardy hierarchy | \(H_{\omega^2}(2201)\) | \(H_{\omega^2}(2202)\) |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-09.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-09.
- ↑ Fish. Conway's zillion numbers. Retrieved 2023-02-09.
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-)