Tupper's number

Tupper's number (coined by Cookie Fonster) is the 544-digit number that makes work (although the formula is not actually very much self-referential, because the number below is as important as the formula itself).https://sites.google.com/site/pointlesslargenumberstuff/home/l/pgln2 It is approximately equal to \(4.85845 \times 10^{543}\). Its full decimal expansion is shown below:
However, when investigated further, the actual number in Tupper's original paper is not the number above, this number is symbolized by \(k\) and the number is shown below:
https://www.dgp.toronto.edu/~mooncake/papers/SIGGRAPH2001_Tupper.pdfhttp://mathworld.wolfram.com/TuppersSelf-ReferentialFormula.html
==Approximations==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(4.858\times10^{543}\) 	\(4.859\times10^{543}\)
Arrow notation 	\(56\uparrow311\) 	\(105\uparrow269\)
Steinhaus-Moser Notation 	230[3] 	231[3]
Copy notation 	4[544] 	5[544]
Taro's multivariable Ackermann function	A(3,1803) 	A(3,1804)
Pound-Star Notation 	#*((1738))*14 	#*((1739))*14
BEAF 	{56,311} 	{105,269}
Hyper-E notation 	4E543 	5E543
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)[17682] 	(0)(0)(0)(0)(0)(0)(0)[17683]
Hyperfactorial array notation 	271! 	272!
Fast-growing hierarchy 	\(f_2(1\,795)\) 	\(f_2(1\,796)\)
Hardy hierarchy 	\(H_{\omega^2}(1\,795)\) 	\(H_{\omega^2}(1\,796)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega\times 4+34}29}(66)\)	\(g_{\omega^{\omega\times 4+29}22}(67)\)
==References==
Category:Numbers
Category:Class 2
Category:Eponymous numbers
Category:Even numbers
Category:Non-powers
Category:Numbers by Cookie Fonster
Category:Numbers with 101 to 999 digits