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131514505425 = 325219237916931
BaseRepresentation
bin111101001111011100…
…0000001100011010001
3110120110110202002111100
41322132320001203101
54123320203133200
6140230020135013
712334023565032
oct1723670014321
9416413662440
10131514505425
1150858567506
12215a3b37469
13c52b8a52a4
1465186a6a89
15364acc5d00
hex1e9ee018d1

131514505425 has 144 divisors (see below), whose sum is σ = 262026086400. Its totient is φ = 62752060800.

The previous prime is 131514505403. The next prime is 131514505427. The reversal of 131514505425 is 524505415131.

131514505425 is a `hidden beast` number, since 1 + 3 + 151 + 450 + 54 + 2 + 5 = 666.

It is not a de Polignac number, because 131514505425 - 25 = 131514505393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131514505425.

It is not an unprimeable number, because it can be changed into a prime (131514505427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7759210 + ... + 7776140.

It is an arithmetic number, because the mean of its divisors is an integer number (1819625600).

Almost surely, 2131514505425 is an apocalyptic number.

131514505425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131514505425 is a deficient number, since it is larger than the sum of its proper divisors (130511580975).

131514505425 is a wasteful number, since it uses less digits than its factorization.

131514505425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17068 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 131514505425 in words is "one hundred thirty-one billion, five hundred fourteen million, five hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 19 23 25 45 57 69 75 79 95 115 171 207 225 237 285 345 395 437 475 575 711 855 1035 1185 1311 1425 1501 1725 1817 1975 2185 3555 3933 4275 4503 5175 5451 5925 6555 7505 9085 10925 13509 16353 16931 17775 19665 22515 27255 32775 34523 37525 45425 50793 67545 81765 84655 98325 103569 112575 136275 152379 172615 253965 310707 321689 337725 389413 408825 423275 517845 761895 863075 965067 1168239 1269825 1337549 1553535 1608445 1947065 2589225 2895201 3504717 3809475 4012647 4825335 5841195 6687745 7398847 7767675 8042225 9735325 12037941 14476005 17523585 20063235 22196541 24126675 25413431 29205975 30763627 33438725 36994235 60189705 66589623 72380025 76240293 87617925 92290881 100316175 110982705 127067155 153818135 184971175 228720879 276872643 300948525 332948115 381201465 461454405 554913525 584508913 635335775 769090675 1143604395 1384363215 1664740575 1753526739 1906007325 2307272025 2922544565 5260580217 5718021975 6921816075 8767633695 14612722825 26302901085 43838168475 131514505425