Quattuorducentillion

A quattuorducentillion is equal to \(10^{615}\) in the short scale and \(10^{1224}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 204th -illion number.
In the long scale, \(10^{615}\) is called duocentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{615}\) (exact) 	\(1\times10^{615}\) (exact)
Arrow notation 	\(10\uparrow 615\) (exact) 	\(10\uparrow 615\) (exact)
Steinhaus-Moser Notation 	255[3] 	256[3]
Chained arrow notation 	\(10\rightarrow 615\) (exact) 	\(10\rightarrow 615\) (exact)
Taro's multivariable Ackermann function	A(3,2039) 	A(3,2040)
BEAF & Bird's array notation 	{10,615} (exact) 	{10,615} (exact)
Hyper-E notation 	E615 (exact) 	E615 (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)(255) 	m(1)(256)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[15] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[16]
Fast-growing hierarchy 	\(f_2(2031)\) 	\(f_2(2032)\)
Hardy hierarchy 	\(H_{\omega^2}(2031)\) 	\(H_{\omega^2}(2032)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1224}\) (exact) 	\(1\times10^{1224}\) (exact)
Arrow notation 	\(10\uparrow 1224\) (exact) 	\(10\uparrow 1224\) (exact)
Steinhaus-Moser Notation 	459[3] 	460[3]
Chained arrow notation 	\(10\rightarrow 1224\) (exact) 	\(10\rightarrow 1224\) (exact)
Taro's multivariable Ackermann function	A(3,4063) 	A(3,4064)
BEAF & Bird's array notation 	{10,1224} (exact) 	{10,1224} (exact)
Hyper-E notation 	E1224 (exact) 	E1224 (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)(459) 	m(1)(460)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4054)\) 	\(f_2(4055)\)
Hardy hierarchy 	\(H_{\omega^2}(4054)\) 	\(H_{\omega^2}(4055)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 2+4}}(10)\) (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