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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 $$g_{\omega^{\omega^26+\omega+8}}(10)$$

## 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-)
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