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42312502452 = 223111938092053
BaseRepresentation
bin100111011010000001…
…011000110010110100
311001012211102211111110
4213122001120302310
51143124000034302
631234343435020
73025354223313
oct473201306264
9131184384443
1042312502452
1116a433393a0
12824a455a70
133cb41b42cc
14209577227a
151179a27b6c
hex9da058cb4

42312502452 has 96 divisors (see below), whose sum is σ = 108449228160. Its totient is φ = 12733562880.

The previous prime is 42312502451. The next prime is 42312502493. The reversal of 42312502452 is 25420521324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312502451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20609058 + ... + 20611110.

It is an arithmetic number, because the mean of its divisors is an integer number (1129679460).

Almost surely, 242312502452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312502452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54224614080).

42312502452 is an abundant number, since it is smaller than the sum of its proper divisors (66136725708).

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

42312502452 is a wasteful number, since it uses less digits than its factorization.

42312502452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 42312502452 in words is "forty-two billion, three hundred twelve million, five hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 809 1158 1618 2053 2123 2316 2427 3236 4106 4246 4854 6159 6369 8212 8492 8899 9708 12318 12738 17798 22583 24636 25476 26697 35596 45166 53394 67749 90332 106788 135498 156137 270996 312274 396229 468411 624548 792458 936822 1188687 1584916 1660877 1717507 1873644 2377374 3321754 3435014 4358519 4754748 4982631 5152521 6643508 6870028 8717038 9965262 10305042 13075557 17434076 18269647 19930524 20610084 26151114 36539294 52302228 54808941 73078588 109617882 219235764 320549261 641098522 961647783 1282197044 1923295566 3526041871 3846591132 7052083742 10578125613 14104167484 21156251226 42312502452