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A treoctogintillion is equal to 10252 in America, or 10498 in France and Germany.[1]

In the long scale which is commonly used in France and Germany, 10252 is called duoquadragintillion.

## Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{252}$$
Arrow notation $$10\uparrow252$$
Steinhaus-Moser Notation 120[3] 121[3]
Copy notation 9[252] 1[253]
Taro's multivariable Ackermann function A(3,834) A(3,835)
Pound-Star Notation #*((801))*10 #*((802))*10
BEAF {10,252}
Hyper-E notation E252
Bashicu matrix system (0)(0)(0)(0)(0)(0)[8659] (0)(0)(0)(0)(0)(0)[8660]
Hyperfactorial array notation 145! 146!
Fast-growing hierarchy $$f_2(827)$$ $$f_2(828)$$
Hardy hierarchy $$H_{\omega^2}(827)$$ $$H_{\omega^2}(828)$$
Slow-growing hierarchy $$g_{\omega^{\omega^22+\omega5+2}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{498}$$
Arrow notation $$10\uparrow498$$
Steinhaus-Moser Notation 213[3] 214[3]
Copy notation 9[498] 1[499]
Taro's multivariable Ackermann function A(3,1651) A(3,1652)
Pound-Star Notation #*((35))*14 #*((36))*14
BEAF {10,498}
Hyper-E notation E498
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[7773] (0)(0)(0)(0)(0)(0)(0)[7774]
Hyperfactorial array notation 252! 253!
Fast-growing hierarchy $$f_2(1643)$$ $$f_2(1644)$$
Hardy hierarchy $$H_{\omega^2}(1643)$$ $$H_{\omega^2}(1644)$$
Slow-growing hierarchy $$g_{\omega^{\omega^24+\omega9+8}}(10)$$

## List of prefixed numbers derived from octogintillion

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