Borges' number

Borges' number (so named by Robert Munafo) is equal to 25410*40*80 = 251,312,000 ~ 1.9560*101,834,097.http://mrob.com/pub/math/numbers-20.html It is the number of books in the Library of Babel, a fictional library which appears in a short story of the same name by . The Library of Babel contains every possible book with 410 pages, 40 lines per page, and 80 characters per line, with 25 different possible characters (22 letters, space, period, and comma). Among those books are every fictional story that has been written, every story that has not been written, every erroneous version or translation of one of these stories, etc., but most of those books would of course be nonsense.
== Size ==
Borges' number has about 1.8 million digits, so it is larger than a milliplexion but smaller than a googolbong. It is a small class 3 number, but it is still a very large number, being much larger than the number of atoms or even Planck volumes in the observable universe, even if the number of Planck volumes were raised to the thousandth power. However, Borges' number is not particularly impressive by googologists' standards, as it is not even bigger than a googolplex.
== Decimal expansion ==
See Borges' number/Decimal expansion.
==Approximations==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1.956\times10^{1834097}\) 	\(1.957\times10^{1834097}\)
Arrow notation 	\(5\uparrow2624000\) 	\(5\uparrow2624000\)
Steinhaus-Moser Notation 	6[3][3] 	7[3][3]
Copy notation 	1[1[7]] 	2[2[7]]
Taro's multivariable Ackermann function 	A(3,A(3,19)) 	A(3,A(3,20))
BEAF 	{5,2624000} 	{5,2624000}
Hyper-E notation 	E[5]2624000 	E[5]2624000
Bashicu matrix system with respect to version 4	(0)(1)[4] 	(0)(1)[5]
Hyperfactorial array notation 	(8!)! 	(9!)!
Fast-growing hierarchy 	\(f_2(f_2(18))\) 	\(f_2(f_2(19))\)
Hardy hierarchy 	\(H_{\omega^22}(18)\) 	\(H_{\omega^22}(19)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^43+\omega^38+\omega^224+\omega5}}(25)\)	\(g_{\omega^{\omega^43+\omega^38+\omega^224+\omega5}}(25)\)
== References ==
== See also ==
* Ballium's number
* Bentley's Number
Category:Numbers
Category:Class 3
Category:Numbers in pop culture
Category:Eponymous numbers
Category:Powers of 5
Category:Numbers in fiction
Category:Lower class 3