Quadragintacentillion

A quadragintacentillion is equal to \(10^{423}\) in the short scale and \(10^{840}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus or with Cookiefonster's extension of Jonathan Bowers system1.8. Extensions to the -illions II: Jonathan Bowers' -illions as it is the 140th -illion number.
In the long scale, \(10^{423}\) is called septuagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{423}\) (exact) 	\(1\times10^{423}\) (exact)
Arrow notation 	\(10\uparrow 423\) (exact) 	\(10\uparrow 423\) (exact)
Steinhaus-Moser Notation 	186[3] 	187[3]
Chained arrow notation 	\(10\rightarrow 423\) (exact) 	\(10\rightarrow 423\) (exact)
Taro's multivariable Ackermann function	A(3,1402) 	A(3,1403)
BEAF & Bird's array notation 	{10,423} (exact) 	{10,423} (exact)
Hyper-E notation 	E423 (exact) 	E423 (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)(186) 	m(1)(187)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[44] 	(0)(0)(0)(0)(0)(0)(0)(0)[45]
Copy notation 	9[423] 	10[212]
H* function 	H(140) 	H(140)
Hyperfactorial array notation 	220! 	221!
Fast-growing hierarchy 	\(f_2(1394)\) 	\(f_2(1395)\)
Hardy hierarchy 	\(H_{\omega^2}(1394)\) 	\(H_{\omega^2}(1395)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{840}\) (exact) 	\(1\times10^{840}\) (exact)
Arrow notation 	\(10\uparrow 840\) (exact) 	\(10\uparrow 840\) (exact)
Steinhaus-Moser Notation 	333[3] 	334[3]
Chained arrow notation 	\(10\rightarrow 840\) (exact) 	\(10\rightarrow 840\) (exact)
Taro's multivariable Ackermann function	A(3,2787) 	A(3,2788)
BEAF & Bird's array notation 	{10,840} (exact) 	{10,840} (exact)
Hyper-E notation 	E840 (exact) 	E840 (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)(333) 	m(1)(334)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[43] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[44]
Fast-growing hierarchy 	\(f_2(2778)\) 	\(f_2(2779)\)
Hardy hierarchy 	\(H_{\omega^2}(2778)\) 	\(H_{\omega^2}(2779)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers