- Not to be confused with duocentillion.
The ducentillion or dihectillion[1] is equal to 10603 in short scale and 101,200 in long scale.[2] The name is equal with Conway-Wechsler System,[3] but it seems to be developed independently.
Landon Curt Noll coined the name duocentillion for this number (not to be confused with Bowers' duocentillion, which equals 10309).[4][5]
Aarex Tiaokhiao gave the name bicemillion, referring to the value of this number.[6]
Written out in decimal form ducentillion (in the short scale) is:
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Template:500 zeros
In long scale:
1Template:200 zeros0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Approximations
For short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{603}\) | |
Arrow notation | \(10\uparrow603\) | |
Steinhaus-Moser Notation | 251[3] | 252[3] |
Copy notation | 9[603] | 10[302] |
Taro's multivariable Ackermann function | A(3,2000) | A(3,2001) |
Pound-Star Notation | #*((147))*15 | #*((148))*15 |
BEAF | {10,603} | |
Hyper-E notation | E603 | |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)[51396] | (0)(0)(0)(0)(0)(0)(0)[51397] |
Hyperfactorial array notation | 295! | 296! |
Fast-growing hierarchy | \(f_2(1992)\) | \(f_2(1993)\) |
Hardy hierarchy | \(H_{\omega^2}(1992)\) | \(H_{\omega^2}(1993)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^26+3}}(10)\) |
For long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{1200}\) | |
Arrow notation | \(10\uparrow1200\) | |
Steinhaus-Moser Notation | 451[3] | 452[3] |
Copy notation | 9[1200] | 1[1201] |
Taro's multivariable Ackermann function | A(3,3983) | A(3,3984) |
Pound-Star Notation | #*((1182))*20 | #*((1183))*20 |
BEAF | {10,1200} | |
Hyper-E notation | E1200 | |
Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
Hyperfactorial array notation | 524! | 525! |
Fast-growing hierarchy | \(f_2(3974)\) | \(f_2(3975)\) |
Hardy hierarchy | \(H_{\omega^2}(3974)\) | \(H_{\omega^2}(3975)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^3+\omega^22}}(10)\) |
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- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · 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