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131540131132344 = 233211533133698569
BaseRepresentation
bin11101111010001010010010…
…110010100011001110111000
3122020202010001220110011202100
4131322022102302203032320
5114220123142032213334
61143432411345103400
736464314034266044
oct3572122262431670
9566663056404670
10131540131132344
1138a049468642a0
1212905437927b60
135852247c7503c
14246a80d5ad024
1510319d9bcdc99
hex77a292ca33b8

131540131132344 has 96 divisors (see below), whose sum is σ = 395974151305200. Its totient is φ = 39108558128640.

The previous prime is 131540131132331. The next prime is 131540131132433. The reversal of 131540131132344 is 443231131045131.

131540131132344 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 401 + 3 + 1 + 13 + 234 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131540131132299 and 131540131132308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566807309 + ... + 1566891260.

Almost surely, 2131540131132344 is an apocalyptic number.

It is an amenable number.

131540131132344 is an abundant number, since it is smaller than the sum of its proper divisors (264434020172856).

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

131540131132344 is a wasteful number, since it uses less digits than its factorization.

131540131132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133698645 (or 3133698638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 131540131132344 its reverse (443231131045131), we get a palindrome (574771262177475).

The spelling of 131540131132344 in words is "one hundred thirty-one trillion, five hundred forty billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 20988 41976 3133698569 6267397138 9401095707 12534794276 18802191414 25069588552 28203287121 34470684259 37604382828 56406574242 68941368518 75208765656 103412052777 112813148484 137882737036 166086024157 206824105554 225626296968 275765474072 310236158331 332172048314 413648211108 498258072471 620472316662 664344096628 827296422216 996516144942 1240944633324 1328688193256 1494774217413 1826946265727 1993032289884 2481889266648 2989548434826 3653892531454 3986064579768 5480838797181 5979096869652 7307785062908 10961677594362 11958193739304 14615570125816 16442516391543 21923355188724 32885032783086 43846710377448 65770065566172 131540131132344