Tresquinquagintaquingentillion

A tresquinquagintaquingentillion is equal to \(10^{1662}\) in the short scale and \(10^{3318}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 553rd -illion number.
In the long scale, \(10^{1662}\) is called septenseptuagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1662}\) (exact) 	\(1\times10^{1662}\) (exact)
Arrow notation 	\(10\uparrow 1662\) (exact) 	\(10\uparrow 1662\) (exact)
Steinhaus-Moser Notation 	598[3] 	599[3]
Chained arrow notation 	\(10\rightarrow 1662\) (exact) 	\(10\rightarrow 1662\) (exact)
Taro's multivariable Ackermann function	A(3,5518) 	A(3,5519)
BEAF & Bird's array notation 	{10,1662} (exact) 	{10,1662} (exact)
Hyper-E notation 	E1662 (exact) 	E1662 (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)(598) 	m(1)(599)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5508)\) 	\(f_2(5509)\)
Hardy hierarchy 	\(H_{\omega^2}(5508)\) 	\(H_{\omega^2}(5509)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3318}\) (exact) 	\(1\times10^{3318}\) (exact)
Arrow notation 	\(10\uparrow 3318\) (exact) 	\(10\uparrow 3318\) (exact)
Steinhaus-Moser Notation 	1092[3] 	1093[3]
Chained arrow notation 	\(10\rightarrow 3318\) (exact) 	\(10\rightarrow 3318\) (exact)
Taro's multivariable Ackermann function	A(3,11019) 	A(3,11020)
BEAF & Bird's array notation 	{10,3318} (exact) 	{10,3318} (exact)
Hyper-E notation 	E3318 (exact) 	E3318 (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)(1092) 	m(1)(1093)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11008)\) 	\(f_2(11009)\)
Hardy hierarchy 	\(H_{\omega^2}(11008)\) 	\(H_{\omega^2}(11009)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega+8}}(10)\) (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