Trigintacentillion

A trigintacentillion is equal to \(10^{393}\) in the short scale and \(10^{780}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 130th -illion number.
In the long scale, \(10^{393}\) is called quinsexagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{393}\) (exact) 	\(1\times10^{393}\) (exact)
Arrow notation 	\(10\uparrow 393\) (exact) 	\(10\uparrow 393\) (exact)
Steinhaus-Moser Notation 	175[3] 	176[3]
Chained arrow notation 	\(10\rightarrow 393\) (exact) 	\(10\rightarrow 393\) (exact)
H* function 	H(130) (exact) 	H(130) (exact)
Taro's multivariable Ackermann function	A(3,1302) 	A(3,1303)
BEAF & Bird's array notation 	{10,393} (exact) 	{10,393} (exact)
Hyper-E notation 	E393 (exact) 	E393 (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)(175) 	m(1)(176)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[34] 	(0)(0)(0)(0)(0)(0)(0)(0)[35]
Copy notation 	9[393] 	10[197]
Hyperfactorial array notation 	207! 	208!
Fast-growing hierarchy 	\(f_2(1295)\) 	\(f_2(1296)\)
Hardy hierarchy 	\(H_{\omega^2}(1295)\) 	\(H_{\omega^2}(1296)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 3+\omega 9+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 3+\omega 9+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{780}\) (exact) 	\(1\times10^{780}\) (exact)
Arrow notation 	\(10\uparrow 780\) (exact) 	\(10\uparrow 780\) (exact)
Steinhaus-Moser Notation 	312[3] 	313[3]
Chained arrow notation 	\(10\rightarrow 780\) (exact) 	\(10\rightarrow 780\) (exact)
Taro's multivariable Ackermann function	A(3,2588) 	A(3,2589)
BEAF & Bird's array notation 	{10,780} (exact) 	{10,780} (exact)
Hyper-E notation 	E780 (exact) 	E780 (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)(312) 	m(1)(313)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[33] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[34]
Fast-growing hierarchy 	\(f_2(2579)\) 	\(f_2(2580)\)
Hardy hierarchy 	\(H_{\omega^2}(2579)\) 	\(H_{\omega^2}(2580)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 8}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 8}}(10)\) (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