- Not to be confused with trecentillion.
The centretillion[1], trecentillion[2] or trescentillion[3] is equal to \(10^{312}\) in short scale. It is equal to \(10^{618}\) in long scale. It is 313 digits long in short scale, or 619 digits long in long scale.
Approximations
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{312}\) | |
| Arrow notation | \(10\uparrow312\) | |
| Steinhaus-Moser Notation | 144[3] | 145[3] |
| Copy notation | 9[312] | 1[313] |
| Chained arrow notation | \(10→312\) | |
| H* function | H(103) | |
| Taro's multivariable Ackermann function | A(3,1033) | A(3,1034) |
| Pound-Star Notation | #*((844))*11 | #*((845))*11 |
| BEAF | {10,312} | |
| Hyper-E notation | E312 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[74989] | (0)(0)(0)(0)(0)(0)[74990] |
| Bird's array notation | {10,312} | |
| Hyperfactorial array notation | 172! | 173! |
| Strong array notation | s(10,312) | |
| Fast-growing hierarchy | \(f_2(1026)\) | \(f_2(1027)\) |
| Hardy hierarchy | \(H_{\omega^2}(1026)\) | \(H_{\omega^2}(1027)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^23+\omega+2}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{618}\) | |
| Arrow notation | \(10\uparrow618\) | |
| Steinhaus-Moser Notation | 256[3] | 257[3] |
| Copy notation | 9[618] | 1[619] |
| Chained arrow notation | \(10\rightarrow618\) | |
| H* function | H(205) | |
| Taro's multivariable Ackermann function | A(3,2049) | A(3,2050) |
| Pound-Star Notation | #*((485))*15 | #*((486))*15 |
| BEAF | {10,618} | |
| Hyper-E notation | E618 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)[67317] | (0)(0)(0)(0)(0)(0)(0)[67318] |
| Hyperfactorial array notation | 301! | 302! |
| Fast-growing hierarchy | \(f_2(2041)\) | \(f_2(2042)\) |
| Hardy hierarchy | \(H_{\omega^2}(2041)\) | \(H_{\omega^2}(2042)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^26+\omega+8}}(10)\) | |
Sources
See also
Main article: -illion
100–109: centillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)110–119: decicentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
120–129: viginticentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
130–139: trigintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
140–149: quadragintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
150–159: quinquagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
160–169: sexagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
170–179: septuagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
180–189: octogintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
190–199: nonagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
