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A quinoctogintillion is equal to 10258 in America, or 10510 in France and Germany.[1]

In the long scale which is commonly used in France and Germany, 10258 is called trequadragintillion.

## ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{258}$$
Arrow notation $$10\uparrow258$$
Steinhaus-Moser Notation 123[3] 124[3]
Copy notation 9[258] 1[259]
Taro's multivariable Ackermann function A(3,854) A(3,855)
Pound-Star Notation #*((1658))*10 #*((1659))*10
BEAF {10,258}
Hyper-E notation E258
Bashicu matrix system (0)(0)(0)(0)(0)(0)[10746] (0)(0)(0)(0)(0)(0)[10747]
Hyperfactorial array notation 147! 148!
Fast-growing hierarchy $$f_2(847)$$ $$f_2(848)$$
Hardy hierarchy $$H_{\omega^2}(847)$$ $$H_{\omega^2}(848)$$
Slow-growing hierarchy $$g_{\omega^{\omega^22+\omega5+8}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{510}$$
Arrow notation $$10\uparrow510$$
Steinhaus-Moser Notation 218[3] 219[3]
Copy notation 9[510] 1[511]
Chained arrow notation $$10→510$$
Taro's multivariable Ackermann function A(3,1691) A(3,1692)
Pound-Star Notation #*((98))*14 #*((99))*14
BEAF {10,510}
Hyper-E notation E510
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[9646] (0)(0)(0)(0)(0)(0)(0)[9647]
Bird's array notation {10,510}
Hyperfactorial array notation 257! 258!
Fast-growing hierarchy $$f_2(1\,683)$$ $$f_2(1\,684)$$
Hardy hierarchy $$H_{\omega^2}(1\,683)$$ $$H_{\omega^2}(1\,684)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{2}5+\omega}}(10)$$

## 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