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132343042132304 = 24172916777769033
BaseRepresentation
bin11110000101110110000100…
…000000111100100101010000
3122100120212112011011000222022
4132011312010000330211100
5114321302022241213204
61145245315414231012
736606316646214323
oct3605660400744520
9570525464130868
10132343042132304
1139194407120383
1212a14b75055468
1358acb840441a3
14249761a3b07ba
15104782d8345be
hex785d8403c950

132343042132304 has 40 divisors (see below), whose sum is σ = 280859853629160. Its totient is φ = 60131524210688.

The previous prime is 132343042132303. The next prime is 132343042132331. The reversal of 132343042132304 is 403231240343231.

It can be written as a sum of positive squares in 4 ways, for example, as 53932867210000 + 78410174922304 = 7343900^2 + 8854952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132343042132303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8388876629 + ... + 8388892404.

It is an arithmetic number, because the mean of its divisors is an integer number (7021496340729).

Almost surely, 2132343042132304 is an apocalyptic number.

It is an amenable number.

132343042132304 is an abundant number, since it is smaller than the sum of its proper divisors (148516811496856).

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

132343042132304 is a wasteful number, since it uses less digits than its factorization.

132343042132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777769087 (or 16777769081 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 132343042132304 its reverse (403231240343231), we get a palindrome (535574282475535).

The spelling of 132343042132304 in words is "one hundred thirty-two trillion, three hundred forty-three billion, forty-two million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 16777769033 33555538066 67111076132 134222152264 268444304528 285222073561 486555301957 570444147122 973110603914 1140888294244 1946221207828 2281776588488 3892442415656 4563553176976 7784884831312 8271440133269 16542880266538 33085760533076 66171521066152 132343042132304