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Not to be confused with duocentillion.

ducentillion is equal to \(10^{603}\) in the short scale and \(10^{1200}\) in the long scale by the Conway and Guy's naming system[1][2][3][4][5] or by Jonathan Bowers system[6] as it is the 200th -illion number.

In the long scale, \(10^{603}\) is called centilliard.

Landon Curt Noll coined the name duocentillion for this number (not to be confused with Conway and Bowers' duocentillion, which equals 10309 in the short scale).[7][8]

Aarex Tiaokhiao gave the name bicemillion[9] or dihectillion,[10] referring to the value of this number.

BlankEntity calls this number Ceedol.[11]

Decimal expansion[]

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

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{603}\) (exact)
Arrow notation \(10\uparrow 603\) (exact)
Steinhaus-Moser Notation 251[3] 252[3]
Chained arrow notation \(10\rightarrow 603\) (exact)
Taro's multivariable Ackermann function A(3,2000) A(3,2001)
BEAF & Bird's array notation {10,603} (exact)
Hyper-E notation E603 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(7)\) \(s(1)^3(\lambda x.x+1)(8)\)
m(n) map m(1)(251) m(1)(252)
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)(0)[15] (0)(0)(0)(0)(0)(0)(0)(0)(0)[16]
Copy notation 9[603] 10[302]
H* function H(200)
Pound-Star Notation #*((147))*15 #*((148))*15
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 \(g_{\omega^{\omega^2 6+3}}(10)\) (exact)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{1200}\) (exact)
Arrow notation \(10\uparrow 1200\) (exact)
Steinhaus-Moser Notation 451[3] 452[3]
Chained arrow notation \(10\rightarrow 1200\) (exact)
Taro's multivariable Ackermann function A(3,3983) A(3,3984)
BEAF & Bird's array notation {10,1200} (exact)
Hyper-E notation E1200 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(8)\) \(s(1)^3(\lambda x.x+1)(9)\)
m(n) map m(1)(451) m(1)(452)
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Copy notation 9[1200] 1[1201]
Pound-Star Notation #*((1182))*20 #*((1183))*20
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 \(g_{\omega^{\omega^3+\omega^2 2}}(10)\) (exact)

Sources[]

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 · 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
Main article: -illion
200–209: ducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
210–219: deciducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
220–229: vigintiducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
230–239: trigintaducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
240–249: quadragintaducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
250–259: quinquagintaducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
260–269: sexagintaducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
270–279: septuagintaducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
280–289: octogintaducentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
290–299: nonagintaducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
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