Quinquadragintaoctingentillion

A quinquadragintaoctingentillion is equal to \(10^{2538}\) in the short scale and \(10^{5070}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 845th -illion number.
In the long scale, \(10^{2538}\) is called tresvigintiquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2538}\) (exact) 	\(1\times10^{2538}\) (exact)
Arrow notation 	\(10\uparrow 2538\) (exact) 	\(10\uparrow 2538\) (exact)
Steinhaus-Moser Notation 	864[3] 	865[3]
Chained arrow notation 	\(10\rightarrow 2538\) (exact) 	\(10\rightarrow 2538\) (exact)
Taro's multivariable Ackermann function	A(3,8428) 	A(3,8429)
BEAF & Bird's array notation 	{10,2538} (exact) 	{10,2538} (exact)
Hyper-E notation 	E2538 (exact) 	E2538 (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)(864) 	m(1)(865)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8418)\) 	\(f_2(8419)\)
Hardy hierarchy 	\(H_{\omega^2}(8418)\) 	\(H_{\omega^2}(8419)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 3+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5070}\) (exact) 	\(1\times10^{5070}\) (exact)
Arrow notation 	\(10\uparrow 5070\) (exact) 	\(10\uparrow 5070\) (exact)
Steinhaus-Moser Notation 	1584[3] 	1585[3]
Chained arrow notation 	\(10\rightarrow 5070\) (exact) 	\(10\rightarrow 5070\) (exact)
Taro's multivariable Ackermann function	A(3,16839) 	A(3,16840)
BEAF & Bird's array notation 	{10,5070} (exact) 	{10,5070} (exact)
Hyper-E notation 	E5070 (exact) 	E5070 (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)(1584) 	m(1)(1585)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16828)\) 	\(f_2(16829)\)
Hardy hierarchy 	\(H_{\omega^2}(16828)\) 	\(H_{\omega^2}(16829)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega 7}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega 7}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers