Rezolvați 258!

$$258 !$$

Evaluați

$$56878465411882525024019869106095810443711861483651573510414327553915228320989004061260555958946091088710623453508969559004059093321200238492719713563110330058714032972946730753868022316902240107823463759719680928160493952481819610819007374844441824697652051115339179081141100212631179271854890626131975300539844183321097520081102320544748815063511124295784925759777654006636479482711740126764956099108357637301664918401416624491645555527002584252416000000000000000000000000000000000000000000000000000000000000000$$

Pașii soluției

Factorialul lui 258 este 56878465411882525024019869106095810443711861483651573510414327553915228320989004061260555958946091088710623453508969559004059093321200238492719713563110330058714032972946730753868022316902240107823463759719680928160493952481819610819007374844441824697652051115339179081141100212631179271854890626131975300539844183321097520081102320544748815063511124295784925759777654006636479482711740126764956099108357637301664918401416624491645555527002584252416000000000000000000000000000000000000000000000000000000000000000.

$$56878465411882525024019869106095810443711861483651573510414327553915228320989004061260555958946091088710623453508969559004059093321200238492719713563110330058714032972946730753868022316902240107823463759719680928160493952481819610819007374844441824697652051115339179081141100212631179271854890626131975300539844183321097520081102320544748815063511124295784925759777654006636479482711740126764956099108357637301664918401416624491645555527002584252416000000000000000000000000000000000000000000000000000000000000000$$

Descompunere în factori

$$2^{256}\times 3^{127}\times 5^{63}\times 7^{41}\times 11^{25}\times 13^{20}\times 17^{15}\times 19^{13}\times 23^{11}\times 29^{8}\times 31^{8}\times 37^{6}\times 41^{6}\times 43^{6}\times 47^{5}\times 53^{4}\times 59^{4}\times 61^{4}\times 67^{3}\times 71^{3}\times 73^{3}\times 79^{3}\times 83^{3}\times 89^{2}\times 97^{2}\times 101^{2}\times 103^{2}\times 107^{2}\times 109^{2}\times 113^{2}\times 127^{2}\times 131\times 137\times 139\times 149\times 151\times 157\times 163\times 167\times 173\times 179\times 181\times 191\times 193\times 197\times 199\times 211\times 223\times 227\times 229\times 233\times 239\times 241\times 251\times 257$$