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131444325315 = 33519373137387
BaseRepresentation
bin111101001101010110…
…0010011101111000011
3110120021120200120111000
41322122230103233003
54123144221402230
6140215032023043
712332212221222
oct1723254235703
9416246616430
10131444325315
1150821993116
1221584531a83
13c51a1a27b4
14650d238cb9
153644a61b60
hex1e9ab13bc3

131444325315 has 64 divisors (see below), whose sum is σ = 246638937600. Its totient is φ = 66235439232.

The previous prime is 131444325307. The next prime is 131444325343. The reversal of 131444325315 is 513523444131.

131444325315 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 4 + 325 + 315 = 666.

It is not a de Polignac number, because 131444325315 - 23 = 131444325307 is a prime.

It is a super-2 number, since 2×1314443253152 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131444325315.

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, 888052 + ... + 1025438.

It is an arithmetic number, because the mean of its divisors is an integer number (3853733400).

Almost surely, 2131444325315 is an apocalyptic number.

131444325315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131444325315 is a deficient number, since it is larger than the sum of its proper divisors (115194612285).

131444325315 is a wasteful number, since it uses less digits than its factorization.

131444325315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137793 (or 137787 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 131444325315 its reverse (513523444131), we get a palindrome (644967769446).

The spelling of 131444325315 in words is "one hundred thirty-one billion, four hundred forty-four million, three hundred twenty-five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 373 513 855 1119 1865 2565 3357 5595 7087 10071 16785 21261 35435 50355 63783 106305 137387 191349 318915 412161 686935 956745 1236483 2060805 2610353 3709449 6182415 7831059 13051765 18547245 23493177 39155295 51245351 70479531 117465885 153736053 256226755 352397655 461208159 768680265 973661669 1383624477 2306040795 2920985007 4868308345 6918122385 8762955021 14604925035 26288865063 43814775105 131444325315