Duovigintiseptingentillion

A duovigintiseptingentillion is equal to \(10^{2169}\) in the short scale and \(10^{4332}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 722nd -illion number.
In the long scale, \(10^{2169}\) is called unsexagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2169}\) (exact) 	\(1\times10^{2169}\) (exact)
Arrow notation 	\(10\uparrow 2169\) (exact) 	\(10\uparrow 2169\) (exact)
Steinhaus-Moser Notation 	753[3] 	754[3]
Chained arrow notation 	\(10\rightarrow 2169\) (exact) 	\(10\rightarrow 2169\) (exact)
Taro's multivariable Ackermann function	A(3,7202) 	A(3,7203)
BEAF & Bird's array notation 	{10,2169} (exact) 	{10,2169} (exact)
Hyper-E notation 	E2169 (exact) 	E2169 (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)(753) 	m(1)(754)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7192)\) 	\(f_2(7193)\)
Hardy hierarchy 	\(H_{\omega^2}(7192)\) 	\(H_{\omega^2}(7193)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 6+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 6+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4332}\) (exact) 	\(1\times10^{4332}\) (exact)
Arrow notation 	\(10\uparrow 4332\) (exact) 	\(10\uparrow 4332\) (exact)
Steinhaus-Moser Notation 	1379[3] 	1380[3]
Chained arrow notation 	\(10\rightarrow 4332\) (exact) 	\(10\rightarrow 4332\) (exact)
Taro's multivariable Ackermann function	A(3,14387) 	A(3,14388)
BEAF & Bird's array notation 	{10,4332} (exact) 	{10,4332} (exact)
Hyper-E notation 	E4332 (exact) 	E4332 (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)(1379) 	m(1)(1380)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14376)\) 	\(f_2(14377)\)
Hardy hierarchy 	\(H_{\omega^2}(14376)\) 	\(H_{\omega^2}(14377)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 3+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 3+\omega 3+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers