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An octogintillion is equal to 10243 in America, or 10480 in France and Germany.[1]

In the long scale which is commonly used in France and Germany, 10243 is called quadragintilliard.

## Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{243}$$
Arrow notation $$10\uparrow243$$
Steinhaus-Moser Notation 117[3] 118[3]
Copy notation 9[243] 10[122]
Taro's multivariable Ackermann function A(3,804) A(3,805)
Pound-Star Notation #*((269))*10 #*((270))*10
BEAF {10,243}
Hyper-E notation E243
Bashicu matrix system (0)(0)(0)(0)(0)(0)[6264] (0)(0)(0)(0)(0)(0)[6265]
Hyperfactorial array notation 140! 141!
Fast-growing hierarchy $$f_2(797)$$ $$f_2(798)$$
Hardy hierarchy $$H_{\omega^2}(797)$$ $$H_{\omega^2}(798)$$
Slow-growing hierarchy $$g_{\omega^{\omega^22+\omega4+3}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{480}$$
Arrow notation $$10\uparrow480$$
Steinhaus-Moser Notation 207[3] 208[3]
Copy notation 9[480] 1[481]
Taro's multivariable Ackermann function A(3,1591) A(3,1592)
Pound-Star Notation #*((7))*14 #*((8))*14
BEAF {10,480}
Hyper-E notation E480
Bashicu matrix system (0)(1)[8] (0)(1)[9]
Hyperfactorial array notation 244! 245!
Fast-growing hierarchy $$f_2(1583)$$ $$f_2(1584)$$
Hardy hierarchy $$H_{\omega^2}(1583)$$ $$H_{\omega^2}(1584)$$
Slow-growing hierarchy $$g_{\omega^{\omega^24+\omega8}}(10)$$

## 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

## Sources

1. Octogintillion at Notes on Big Numbers

Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
40–49: quadragintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · unviginticent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct