Dumillillion

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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[]

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

Dumillillion

Approximations[]

Sources[]

See also[]