Trigintatrecentillion

A trigintatrecentillion is equal to \(10^{993}\) in the short scale and \(10^{1980}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 330th -illion number.
In the long scale, \(10^{993}\) is called quinsexagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{993}\) (exact) 	\(1\times10^{993}\) (exact)
Arrow notation 	\(10\uparrow 993\) (exact) 	\(10\uparrow 993\) (exact)
Steinhaus-Moser Notation 	384[3] 	385[3]
Chained arrow notation 	\(10\rightarrow 993\) (exact) 	\(10\rightarrow 993\) (exact)
Taro's multivariable Ackermann function	A(3,3295) 	A(3,3296)
BEAF & Bird's array notation 	{10,993} (exact) 	{10,993} (exact)
Hyper-E notation 	E993 (exact) 	E993 (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)(384) 	m(1)(385)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3286)\) 	\(f_2(3287)\)
Hardy hierarchy 	\(H_{\omega^2}(3286)\) 	\(H_{\omega^2}(3287)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 9+\omega 9+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 9+\omega 9+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1980}\) (exact) 	\(1\times10^{1980}\) (exact)
Arrow notation 	\(10\uparrow 1980\) (exact) 	\(10\uparrow 1980\) (exact)
Steinhaus-Moser Notation 	696[3] 	697[3]
Chained arrow notation 	\(10\rightarrow 1980\) (exact) 	\(10\rightarrow 1980\) (exact)
Taro's multivariable Ackermann function	A(3,6574) 	A(3,6575)
BEAF & Bird's array notation 	{10,1980} (exact) 	{10,1980} (exact)
Hyper-E notation 	E1980 (exact) 	E1980 (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)(696) 	m(1)(697)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6564)\) 	\(f_2(6565)\)
Hardy hierarchy 	\(H_{\omega^2}(6564)\) 	\(H_{\omega^2}(6565)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 9+\omega 8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 9+\omega 8}}(10)\) (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