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A dumillillion or duomillillion or millilliardilliardplex[1] is equal to \(10^{6,003}\) in the short scale, and \(10^{12,000}\) in the long scale.[2]

It is equal to 1 followed by 6,003 zeros. It is 6,004 digits long.

It is named as billinillion by the Conway-Wechsler system[3][4][5] as it is the 2000th -illion number. In the long scale, \(10^{6003}\) is called millinilliard in the Conway-Wechsler system.

Dumillillion is also known as billillion or billinillion or duomilliatillion according to Landon Curt Noll's The English name of a number.

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

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In long scale:

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Approximations[]

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{6003}\)
Arrow notation \(10\uparrow6003\)
Steinhaus-Moser Notation 1838[3] 1839[3]
Copy notation 9[6003] 10[3002]
Chained arrow notation \(10\rightarrow6003\)
Taro's multivariable Ackermann function A(3,19938) A(3,19939)
Pound-Star Notation #*((1360))*41 #*((1361))*41
BEAF & Bird's array notation {10,6003}
H* function H(2000)
Hyper-E notation E6003
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Hyperfactorial array notation 2080! 2081!
Fast-growing hierarchy \(f_2(19927)\) \(f_2(19928)\)
Hardy hierarchy \(H_{\omega^2}(19927)\) \(H_{\omega^2}(19928)\)
Slow-growing hierarchy \(g_{\omega^{\omega^36+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{12000}\)
Arrow notation \(10\uparrow12000\)
Steinhaus-Moser Notation 5[3][3] 6[3][3]
Copy notation 9[12000] 1[12001]
Taro's multivariable Ackermann function A(3,39860) A(3,39861)
Pound-Star Notation #*((965))*56 #*((966))*56
BEAF {10,12000}
Hyper-E notation E12000
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Hyperfactorial array notation 3812! 3813!
Fast-growing hierarchy \(f_2(39847)\) \(f_2(39848)\)
Hardy hierarchy \(H_{\omega^2}(39847)\) \(H_{\omega^2}(39848)\)
Slow-growing hierarchy \(g_{\omega^{\omega^4+\omega^32}}(10)\)

Sources[]

  1. http://users.skynet.be/nizgorur/very_big_numbers.htm
  2. Very Large Numbers: A list of large numbers
  3. Conway and Guy. (1995) "The book of Numbers" Copernicus
  4. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-14.
  5. Fish. List of 10,000 zillion numbers with Conway-Wechsler system. Retrieved 2023-02-14.

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
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