Duovigintisescentillion

A duovigintisescentillion is equal to \(10^{1869}\) in the short scale and \(10^{3732}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 622nd -illion number.
In the long scale, \(10^{1869}\) is called undecitrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1869}\) (exact) 	\(1\times10^{1869}\) (exact)
Arrow notation 	\(10\uparrow 1869\) (exact) 	\(10\uparrow 1869\) (exact)
Steinhaus-Moser Notation 	662[3] 	663[3]
Chained arrow notation 	\(10\rightarrow 1869\) (exact) 	\(10\rightarrow 1869\) (exact)
Taro's multivariable Ackermann function	A(3,6205) 	A(3,6206)
BEAF & Bird's array notation 	{10,1869} (exact) 	{10,1869} (exact)
Hyper-E notation 	E1869 (exact) 	E1869 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(662) 	m(1)(663)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6196)\) 	\(f_2(6197)\)
Hardy hierarchy 	\(H_{\omega^2}(6196)\) 	\(H_{\omega^2}(6197)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega 6+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega 6+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3732}\) (exact) 	\(1\times10^{3732}\) (exact)
Arrow notation 	\(10\uparrow 3732\) (exact) 	\(10\uparrow 3732\) (exact)
Steinhaus-Moser Notation 	1210[3] 	1211[3]
Chained arrow notation 	\(10\rightarrow 3732\) (exact) 	\(10\rightarrow 3732\) (exact)
Taro's multivariable Ackermann function	A(3,12394) 	A(3,12395)
BEAF & Bird's array notation 	{10,3732} (exact) 	{10,3732} (exact)
Hyper-E notation 	E3732 (exact) 	E3732 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1210) 	m(1)(1211)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12383)\) 	\(f_2(12384)\)
Hardy hierarchy 	\(H_{\omega^2}(12383)\) 	\(H_{\omega^2}(12384)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 7+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 7+\omega 3+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers