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A cenundecillion or undecicentillion[1][2][3] is equal to $$10^{336}$$ in short scale, and $$10^{666}$$ in France and Germany (or long scale).

### ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{336}$$
Arrow notation $$10\uparrow336$$
Steinhaus-Moser Notation 153[3] 154[3]
Copy notation 9[336] 1[337]
Taro's multivariable Ackermann function A(3,1113) A(3,1114)
Pound-Star Notation #*((11))*12 #*((12))*12
BEAF {10,336}
Hyper-E notation E336
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[421] (0)(0)(0)(0)(0)(0)(0)[422]
Hyperfactorial array notation 182! 183!
Fast-growing hierarchy $$f_2(1106)$$ $$f_2(1107)$$
Hardy hierarchy $$H_{\omega^2}(1106)$$ $$H_{\omega^2}(1107)$$
Slow-growing hierarchy $$g_{\omega^{\omega^23+\omega3+6}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{666}$$
Arrow notation $$10\uparrow666$$
Steinhaus-Moser Notation 273[3] 274[3]
Copy notation 9[666] 1[667]
Taro's multivariable Ackermann function A(3,2209) A(3,2210)
Pound-Star Notation #*((12))*16 #*((13))*16
BEAF {10,666}
Hyper-E notation E666
Bashicu matrix system (0)(1)[8] (0)(1)[9]
Hyperfactorial array notation 320! 321!
Fast-growing hierarchy $$f_2(2201)$$ $$f_2(2202)$$
Hardy hierarchy $$H_{\omega^2}(2201)$$ $$H_{\omega^2}(2202)$$
Slow-growing hierarchy $$g_{\omega^{\omega^26+\omega6+6}}(10)$$