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432320113224324 = 2232138093114143201
BaseRepresentation
bin110001001001100010101111…
…0110001110010101010000100
32002200201101210000022102011100
41202103011132301302222010
5423131113042441134244
64131245041312340100
7160030045265340243
oct14223053661625204
92080641700272140
10432320113224324
11115828a26397976
12405a264b244630
131572c7c501b720
1478a859594295a
1534ea989227b69
hex189315ec72a84

432320113224324 has 72 divisors (see below), whose sum is σ = 1177016848082712. Its totient is φ = 133005135513600.

The previous prime is 432320113224277. The next prime is 432320113224353. The reversal of 432320113224324 is 423422311023234.

432320113224324 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 2 + 0 + 1 + 1 + 322 + 4 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3326209964100 + 428993903260224 = 1823790^2 + 20712168^2 .

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

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, 53284077 + ... + 60859124.

It is an arithmetic number, because the mean of its divisors is an integer number (16347456223371).

Almost surely, 2432320113224324 is an apocalyptic number.

It is an amenable number.

432320113224324 is an abundant number, since it is smaller than the sum of its proper divisors (744696734858388).

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

432320113224324 is a wasteful number, since it uses less digits than its factorization.

432320113224324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114151317 (or 114151312 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 432320113224324 its reverse (423422311023234), we get a palindrome (855742424247558).

The spelling of 432320113224324 in words is "four hundred thirty-two trillion, three hundred twenty billion, one hundred thirteen million, two hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8093 16186 24279 32372 48558 72837 97116 105209 145674 210418 291348 315627 420836 631254 946881 1262508 1893762 3787524 114143201 228286402 342429603 456572804 684859206 1027288809 1369718412 1483861613 2054577618 2967723226 4109155236 4451584839 5935446452 8903169678 13354754517 17806339356 26709509034 53419018068 923760925693 1847521851386 2771282777079 3695043702772 5542565554158 8313848331237 11085131108316 12008892034009 16627696662474 24017784068018 33255393324948 36026676102027 48035568136036 72053352204054 108080028306081 144106704408108 216160056612162 432320113224324