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A quattuoroctogintillion is equal to 10255 in America, or 10504 in France and Germany.[1] It is the smallest positive integer, whose full decimal expansion cannot be used at all as a page title in MediaWiki projects.

In the long scale which is commonly used in France and Germany, 10255 is called duoquadragintilliard.

## ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{255}$$
Arrow notation $$10\uparrow255$$
Steinhaus-Moser Notation 122[3] 123[3]
Copy notation 9[255] 10[128]
Taro's multivariable Ackermann function A(3,844) A(3,845)
Pound-Star Notation #*((1153))*10 #*((1154))*10
BEAF {10,255}
Hyper-E notation E255
Bashicu matrix system (0)(0)(0)(0)(0)(0)[9646] (0)(0)(0)(0)(0)(0)[9647]
Hyperfactorial array notation 146! 147!
Fast-growing hierarchy $$f_2(837)$$ $$f_2(838)$$
Hardy hierarchy $$H_{\omega^2}(837)$$ $$H_{\omega^2}(838)$$
Slow-growing hierarchy $$g_{\omega^{\omega^22+\omega5+5}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{504}$$
Arrow notation $$10\uparrow504$$
Steinhaus-Moser Notation 215[3] 216[3]
Copy notation 9[504] 1[505]
Taro's multivariable Ackermann function A(3,1671) A(3,1672)
Pound-Star Notation #*((58))*14 #*((59))*14
BEAF {10,504}
Hyper-E notation E504
Bashicu matrix system (0)(1)[8] (0)(1)[9]
Hyperfactorial array notation 254! 255!
Fast-growing hierarchy $$f_2(1663)$$ $$f_2(1664)$$
Hardy hierarchy $$H_{\omega^2}(1663)$$ $$H_{\omega^2}(1664)$$
Slow-growing hierarchy $$g_{\omega^{\omega^25+4}}(10)$$

## List of prefixed numbers derived from octogintillionEdit

Name Short scale Long scale
unoctogintillion 10246 10486
duooctogintillion 10249 10492
treoctogintillion 10252 10498
quattuoroctogintillion 10255 10504
quinoctogintillion 10258 10510
sexoctogintillion 10261 10516
septenoctogintillion 10264 10522
octooctogintillion 10267 10528
novemoctogintillion 10270 10534

## Sources Edit

1. Very big numbers on Skynet