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This page is about Bowers's definition. For the alternative definition, see Centretillion.

The trecentillion is equal to 10903 in short scale.[1] This number is also equal to 101,800 in the long scale of naming zillions, accepted in French and Germany.

Decimal expansion

Written out in decimal form trecentillion (in the short scale) is:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{903}\)
Arrow notation \(10\uparrow903\)
Steinhaus-Moser Notation 354[3] 355[3]
Copy notation 9[903] 10[452]
Taro's multivariable Ackermann function A(3,2996) A(3,2997)
Pound-Star Notation #*((64))*18 #*((65))*18
BEAF {10,903}
Hyper-E notation E903
Bashicu matrix system (0)(1)[8] (0)(1)[9]
Hyperfactorial array notation 413! 414!
Fast-growing hierarchy \(f_2(2\,988)\) \(f_2(2\,989)\)
Hardy hierarchy \(H_{\omega^2}(2\,988)\) \(H_{\omega^2}(2\,989)\)
Slow-growing hierarchy \(g_{\omega^{\omega^29+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{1,800}\)
Arrow notation \(10\uparrow1,800\)
Steinhaus-Moser Notation 641[3] 642[3]
Copy notation 9[1800] 1[1801]
Taro's multivariable Ackermann function A(3,5976) A(3,5977)
Pound-Star Notation #*((823))*24 #*((824))*24
BEAF {10,1800}
Hyper-E notation E1800
Bashicu matrix system (0)(1)[9] (0)(1)[10]
Hyperfactorial array notation 738! 739!
Fast-growing hierarchy \(f_2(5\,966)\) \(f_2(5\,967)\)
Hardy hierarchy \(H_{\omega^2}(5\,966)\) \(H_{\omega^2}(5\,967)\)
Slow-growing hierarchy \(g_{\omega^{\omega^3+\omega^28}}(10)\)

It is likely pronounced as so:

Trecentillion (Pronunciation)

Sources

  1. Illion Numbers

See also

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