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A cenuntillion, uncentillion, centummillion[1] or cebillion as named by Aarex Tiaokhiao,[2] is equal to $$10^{306}$$[3] in short scale, and $$10^{606}$$ in long scale. It is the largest -illion expressible in the double-precision floating-point format, as it maxes out at $$2^{1024}$$.

## ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{306}$$
Arrow notation $$10\uparrow306$$
Steinhaus-Moser Notation 142[3] 143[3]
Copy notation 9[306] 1[307]
Taro's multivariable Ackermann function A(3,1013) A(3,1014)
Pound-Star Notation #*((437))*11 #*((438))*11
BEAF {10,306}
Hyper-E notation E306
Bashicu matrix system (0)(0)(0)(0)(0)(0)[60429] (0)(0)(0)(0)(0)(0)[60430]
Hyperfactorial array notation 169! 170!
Fast-growing hierarchy $$f_2(1006)$$ $$f_2(1007)$$
Hardy hierarchy $$H_{\omega^2}(1006)$$ $$H_{\omega^2}(1007)$$
Slow-growing hierarchy $$g_{\omega^{\omega^23+6}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{606}$$
Arrow notation $$10\uparrow606$$
Steinhaus-Moser Notation 252[3] 253[3]
Copy notation 9[606] 1[607]
Taro's multivariable Ackermann function A(3,2010) A(3,2011)
Pound-Star Notation #*((187))*15 #*((188))*15
BEAF {10,606}
Hyper-E notation E606
Bashicu matrix system (0)(1)[8] (0)(1)[9]
Hyperfactorial array notation 296! 297!
Fast-growing hierarchy $$f_2(2002)$$ $$f_2(2003)$$
Hardy hierarchy $$H_{\omega^2}(2002)$$ $$H_{\omega^2}(2003)$$
Slow-growing hierarchy $$g_{\omega^{\omega^26+6}}(10)$$