Quinquadragintacentillion

A quinquadragintacentillion is equal to \(10^{438}\) in the short scale and \(10^{870}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 145th -illion number.
In the long scale, \(10^{438}\) is called treseptuagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{438}\) (exact) 	\(1\times10^{438}\) (exact)
Arrow notation 	\(10\uparrow 438\) (exact) 	\(10\uparrow 438\) (exact)
Steinhaus-Moser Notation 	191[3] 	192[3]
Chained arrow notation 	\(10\rightarrow 438\) (exact) 	\(10\rightarrow 438\) (exact)
Taro's multivariable Ackermann function	A(3,1452) 	A(3,1453)
BEAF & Bird's array notation 	{10,438} (exact) 	{10,438} (exact)
Hyper-E notation 	E438 (exact) 	E438 (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)(191) 	m(1)(192)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[51] 	(0)(0)(0)(0)(0)(0)(0)(0)[52]
Fast-growing hierarchy 	\(f_2(1444)\) 	\(f_2(1445)\)
Hardy hierarchy 	\(H_{\omega^2}(1444)\) 	\(H_{\omega^2}(1445)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega 3+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{870}\) (exact) 	\(1\times10^{870}\) (exact)
Arrow notation 	\(10\uparrow 870\) (exact) 	\(10\uparrow 870\) (exact)
Steinhaus-Moser Notation 	343[3] 	344[3]
Chained arrow notation 	\(10\rightarrow 870\) (exact) 	\(10\rightarrow 870\) (exact)
Taro's multivariable Ackermann function	A(3,2887) 	A(3,2888)
BEAF & Bird's array notation 	{10,870} (exact) 	{10,870} (exact)
Hyper-E notation 	E870 (exact) 	E870 (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)(343) 	m(1)(344)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[50] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[51]
Fast-growing hierarchy 	\(f_2(2878)\) 	\(f_2(2879)\)
Hardy hierarchy 	\(H_{\omega^2}(2878)\) 	\(H_{\omega^2}(2879)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 7}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 7}}(10)\) (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