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A quadragintillion is equal to 10123 in America, or 10240 in France and Germany.[1]

In the long scale which is commonly used in France and Germany, $$10^{123}$$ is called vigintilliard.

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{123}$$
Arrow notation $$10\uparrow123$$
Steinhaus-Moser Notation 67[3] 68[3]
Copy notation 9[123] 10[62]
Taro's multivariable Ackermann function A(3,405) A(3,406)
Pound-Star Notation #*(5,1,8,4,7,1,5,7)*8 #*(6,1,8,4,7,1,5,7)*8
BEAF {10,123}
Hyper-E notation E123
Bashicu matrix system (0)(0)(0)(0)(0)[6978] (0)(0)(0)(0)(0)[6979]
Hyperfactorial array notation 82! 83!
Fast-growing hierarchy $$f_2(399)$$ $$f_2(400)$$
Hardy hierarchy $$H_{\omega^2}(399)$$ $$H_{\omega^2}(400)$$
Slow-growing hierarchy $$g_{\omega^{\omega^2+\omega2+3}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{240}$$
Arrow notation $$10\uparrow240$$
Steinhaus-Moser Notation 116[3] 117[3]
Copy notation 9[240] 1[241]
Taro's multivariable Ackermann function A(3,794) A(3,795)
Pound-Star Notation #*((187))*10 #*((188))*10
BEAF {10,240}
Hyper-E notation E240
Bashicu matrix system (0)(0)(0)(0)(0)(0)[5623] (0)(0)(0)(0)(0)(0)[5624]
Hyperfactorial array notation 139! 140!
Fast-growing hierarchy $$f_2(787)$$ $$f_2(788)$$
Hardy hierarchy $$H_{\omega^2}(787)$$ $$H_{\omega^2}(788)$$
Slow-growing hierarchy $$g_{\omega^{\omega^22+\omega4}}(10)$$

List of prefixed numbers derived from quadragintillion

Name Short scale Long scale

Sources

1. Quadragintillion 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