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Not to be confused with trecentillion.

The centretillion or trescentillion is equal to \(10^{312}\) in short scale.[1] It is equal to \(10^{618}\) in long scale. It is 313 digits long in short scale, or 619 digits long in long scale.

ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{312}\)
Arrow notation \(10\uparrow312\)
Steinhaus-Moser Notation 144[3] 145[3]
Copy notation 9[312] 1[313]
Chained arrow notation \(10→312\)
Taro's multivariable Ackermann function A(3,1033) A(3,1034)
Pound-Star Notation #*((844))*11 #*((845))*11
BEAF {10,312}
Hyper-E notation E312
Bashicu matrix system (0)(0)(0)(0)(0)(0)[74989] (0)(0)(0)(0)(0)(0)[74990]
Bird's array notation {10,312}
Hyperfactorial array notation 172! 173!
Strong array notation s(10,312)
Fast-growing hierarchy \(f_2(1026)\) \(f_2(1027)\)
Hardy hierarchy \(H_{\omega^2}(1026)\) \(H_{\omega^2}(1027)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+\omega+2}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{618}\)
Arrow notation \(10\uparrow618\)
Steinhaus-Moser Notation 256[3] 257[3]
Copy notation 9[618] 1[619]
Taro's multivariable Ackermann function A(3,2049) A(3,2050)
Pound-Star Notation #*((485))*15 #*((486))*15
BEAF {10,618}
Hyper-E notation E618
Bashicu matrix system (0)(1)[8] (0)(1)[9]
Hyperfactorial array notation 301! 302!
Fast-growing hierarchy \(f_2(2041)\) \(f_2(2042)\)
Hardy hierarchy \(H_{\omega^2}(2041)\) \(H_{\omega^2}(2042)\)
Slow-growing hierarchy \(g_{\omega^{\omega^26+\omega+8}}(10)\)

Sources Edit

  1. Illion Numbers

See Also Edit

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 · primo-vigesimo-cent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct