Googolbang

Googolbang (occasionally spelled googol-bang) is equal to the factorial of a googol, \((10^{100})! \approx 10^{9.9565705518098 \times 10^{101}}\).Googol - Cantor's Atticgoogol-bangNotable Properties of Specific Numbers (page 21) It is comparable to a googolplex; however, this is the result of raising googolplex to the 99.565705518098th power.
Its first few digits are 1,629,404,332,46... and it has exactly \(2.5 \times 10^{99} - 18\) trailing zeroes; the last non-zero digit is 6.
The exact number of digits is:
== Etymology ==
The name of this number can be separated into 2 parts, "googol" and "-bang", where the suffix "-bang" means factorial operation.
==Approximations==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(412\uparrow972\uparrow34\) 	\(107\uparrow405\uparrow39\)
Down-arrow notation 	\(968\downarrow\downarrow35\) 	\(10\downarrow\downarrow103\)
Steinhaus-Moser Notation 	56[3][3] 	57[3][3]
Copy notation 	8[8[102]] 	9[9[102]]
H* function 	H(331H(32)) 	H(332H(32))
Taro's multivariable Ackermann function	A(3,A(3,337)) 	A(3,A(3,338))
Pound-Star Notation 	#*((1))*(4,5,1,4,5)*7 	#*((1))*(5,5,1,4,5)*7
BEAF 	{412,{972,34}} 	{107,{405,39}}
Hyper-E notation 	E[968]34#2 \(\approx 10^{10^{101.995}}\)	E102#2 \(= 10^{10^{102}}\)
Bashicu matrix system 	(0)(1)[18] 	(0)(1)[19]
Hyperfactorial array notation 	(69!)! 	(70!)!
Fast-growing hierarchy 	\(f_2(f_2(332))\) 	\(f_2(f_2(333))\)
Hardy hierarchy 	\(H_{\omega^22}(332)\) 	\(H_{\omega^22}(333)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^2+1}9}}(10)\)	\(g_{\omega^{\omega^{\omega^2+2}}}(10)\)
== Sources ==
== See also ==
*Kilofaxul
ja:グーゴルバン
zh:古戈爾邦
Category:Numbers
Category:Orders of symmetric groups
Category:Class 3
Category:Googol series
Category:Factorial numbers
Category:Upper class 3