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131345540124234 = 23175952142979749
BaseRepresentation
bin11101110111010101000100…
…010000110000111001001010
3122020001111210112010202012220
4131313111010100300321022
5114203431131232433414
61143203150320314510
736444254633101512
oct3567250420607112
9566044715122186
10131345540124234
113893a370257827
121289378b772a36
135839aa6453aa7
14246122da14842
15102b8eb54dca9
hex777544430e4a

131345540124234 has 128 divisors (see below), whose sum is σ = 283495736160000. Its totient is φ = 40416724008960.

The previous prime is 131345540124191. The next prime is 131345540124259. The reversal of 131345540124234 is 432421045543131.

131345540124234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13472714392 + ... + 13472724140.

It is an arithmetic number, because the mean of its divisors is an integer number (2214810438750).

Almost surely, 2131345540124234 is an apocalyptic number.

131345540124234 is an abundant number, since it is smaller than the sum of its proper divisors (152150196035766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131345540124234 is a wasteful number, since it uses less digits than its factorization.

131345540124234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 131345540124234 its reverse (432421045543131), we get a palindrome (563766585667365).

The spelling of 131345540124234 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred forty million, one hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 59 102 118 177 354 521 1003 1042 1563 2006 3009 3126 4297 6018 8594 8857 9749 12891 17714 19498 25782 26571 29247 30739 53142 58494 61478 73049 92217 146098 165733 184434 219147 253523 331466 438294 497199 507046 522563 575191 760569 994398 1045126 1150382 1521138 1567689 1725573 2238737 3135378 3451146 4309891 4477474 5079229 6716211 8619782 9778247 10158458 12929673 13432422 15237687 19556494 25859346 29334741 30475374 38058529 41891453 58669482 76117058 83782906 86346893 114175587 125674359 132085483 172693786 228351174 251348718 259040679 264170966 299674511 396256449 518081358 599349022 712154701 792512898 899023533 1424309402 1798047066 2136464103 2245453211 2471595727 4272928206 4490906422 4943191454 5094466687 6736359633 7414787181 10188933374 13472719266 14829574362 15283400061 21825447013 30566800122 42017127359 43650894026 65476341039 84034254718 126051382077 130952682078 252102764154 371032599221 742065198442 1113097797663 1287701373767 2226195595326 2575402747534 3863104121301 7726208242602 21890923354039 43781846708078 65672770062117 131345540124234