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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, or 101,800 in the long scale of naming -illions, used in French and Germany[1]
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} | |
Bird's array notation | {10,903} | |
Hyper-E notation | E903 | |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)[3367] | (0)(0)(0)(0)(0)(0)(0)(0)[3368] |
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} | |
Bird's array notation | {10,1800}|- | |
Hyper-E notation | E1800 | |
Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
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 | \(g_{\omega^{\omega^3+\omega^28}}(10)\) |
Sources
See also
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
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 · ducent · trecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct