Quinquadringentillion

A quinquadringentillion is equal to \(10^{1218}\) in the short scale and \(10^{2430}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 405th -illion number.
In the long scale, \(10^{1218}\) is called treducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1218}\) (exact) 	\(1\times10^{1218}\) (exact)
Arrow notation 	\(10\uparrow 1218\) (exact) 	\(10\uparrow 1218\) (exact)
Steinhaus-Moser Notation 	457[3] 	458[3]
Chained arrow notation 	\(10\rightarrow 1218\) (exact) 	\(10\rightarrow 1218\) (exact)
Taro's multivariable Ackermann function	A(3,4043) 	A(3,4044)
BEAF & Bird's array notation 	{10,1218} (exact) 	{10,1218} (exact)
Hyper-E notation 	E1218 (exact) 	E1218 (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)(457) 	m(1)(458)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4034)\) 	\(f_2(4035)\)
Hardy hierarchy 	\(H_{\omega^2}(4034)\) 	\(H_{\omega^2}(4035)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2430}\) (exact) 	\(1\times10^{2430}\) (exact)
Arrow notation 	\(10\uparrow 2430\) (exact) 	\(10\uparrow 2430\) (exact)
Steinhaus-Moser Notation 	832[3] 	833[3]
Chained arrow notation 	\(10\rightarrow 2430\) (exact) 	\(10\rightarrow 2430\) (exact)
Taro's multivariable Ackermann function	A(3,8069) 	A(3,8070)
BEAF & Bird's array notation 	{10,2430} (exact) 	{10,2430} (exact)
Hyper-E notation 	E2430 (exact) 	E2430 (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)(832) 	m(1)(833)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8059)\) 	\(f_2(8060)\)
Hardy hierarchy 	\(H_{\omega^2}(8059)\) 	\(H_{\omega^2}(8060)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 3}}(10)\) (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