Duoquadragintacentillion

A duoquadragintacentillion is equal to \(10^{429}\) in the short scale and \(10^{852}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 142nd -illion number.
In the long scale, \(10^{429}\) is called unseptuagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{429}\) (exact) 	\(1\times10^{429}\) (exact)
Arrow notation 	\(10\uparrow 429\) (exact) 	\(10\uparrow 429\) (exact)
Steinhaus-Moser Notation 	188[3] 	189[3]
Chained arrow notation 	\(10\rightarrow 429\) (exact) 	\(10\rightarrow 429\) (exact)
Taro's multivariable Ackermann function	A(3,1422) 	A(3,1423)
BEAF & Bird's array notation 	{10,429} (exact) 	{10,429} (exact)
Hyper-E notation 	E429 (exact) 	E429 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(188) 	m(1)(189)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[47] 	(0)(0)(0)(0)(0)(0)(0)(0)[48]
Fast-growing hierarchy 	\(f_2(1414)\) 	\(f_2(1415)\)
Hardy hierarchy 	\(H_{\omega^2}(1414)\) 	\(H_{\omega^2}(1415)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega 2+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega 2+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{852}\) (exact) 	\(1\times10^{852}\) (exact)
Arrow notation 	\(10\uparrow 852\) (exact) 	\(10\uparrow 852\) (exact)
Steinhaus-Moser Notation 	337[3] 	338[3]
Chained arrow notation 	\(10\rightarrow 852\) (exact) 	\(10\rightarrow 852\) (exact)
Taro's multivariable Ackermann function	A(3,2827) 	A(3,2828)
BEAF & Bird's array notation 	{10,852} (exact) 	{10,852} (exact)
Hyper-E notation 	E852 (exact) 	E852 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(337) 	m(1)(338)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[46] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[47]
Fast-growing hierarchy 	\(f_2(2818)\) 	\(f_2(2819)\)
Hardy hierarchy 	\(H_{\omega^2}(2818)\) 	\(H_{\omega^2}(2819)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 5+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 5+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers