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Not to be confused with duocentillion.

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]

BlankEntity calls this number Ceedol.[7]

It is 604 digits long in short scale, or 1,201 digits long in long scale.

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

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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]
Chained arrow notation \(10\rightarrow603\)
H* function H(200)
Taro's multivariable Ackermann function A(3,2000) A(3,2001)
Pound-Star Notation #*((147))*15 #*((148))*15
BEAF & Bird's array notation {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 · 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 · unsexagintacent · ducent · trecent · duotrigintatrecent · 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
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