Duoquadragintaseptingentillion

A duoquadragintaseptingentillion is equal to \(10^{2229}\) in the short scale and \(10^{4452}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 742nd -illion number.
In the long scale, \(10^{2229}\) is called unseptuagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2229}\) (exact) 	\(1\times10^{2229}\) (exact)
Arrow notation 	\(10\uparrow 2229\) (exact) 	\(10\uparrow 2229\) (exact)
Steinhaus-Moser Notation 	771[3] 	772[3]
Chained arrow notation 	\(10\rightarrow 2229\) (exact) 	\(10\rightarrow 2229\) (exact)
Taro's multivariable Ackermann function	A(3,7401) 	A(3,7402)
BEAF & Bird's array notation 	{10,2229} (exact) 	{10,2229} (exact)
Hyper-E notation 	E2229 (exact) 	E2229 (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)(771) 	m(1)(772)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7391)\) 	\(f_2(7392)\)
Hardy hierarchy 	\(H_{\omega^2}(7391)\) 	\(H_{\omega^2}(7392)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 2+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 2+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4452}\) (exact) 	\(1\times10^{4452}\) (exact)
Arrow notation 	\(10\uparrow 4452\) (exact) 	\(10\uparrow 4452\) (exact)
Steinhaus-Moser Notation 	1413[3] 	1414[3]
Chained arrow notation 	\(10\rightarrow 4452\) (exact) 	\(10\rightarrow 4452\) (exact)
Taro's multivariable Ackermann function	A(3,14786) 	A(3,14787)
BEAF & Bird's array notation 	{10,4452} (exact) 	{10,4452} (exact)
Hyper-E notation 	E4452 (exact) 	E4452 (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)(1413) 	m(1)(1414)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14775)\) 	\(f_2(14776)\)
Hardy hierarchy 	\(H_{\omega^2}(14775)\) 	\(H_{\omega^2}(14776)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 5+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 5+2}}(10)\) (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