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14305052132 = 2275310790089
BaseRepresentation
bin11010101001010010…
…11100010111100100
31100220221110221102122
431110221130113210
5213244043132012
610323250525112
71014330636230
oct152451342744
940827427378
1014305052132
116080913438
122932896798
13146c8883b7
14999c035c0
1558acdde72
hex354a5c5e4

14305052132 has 48 divisors (see below), whose sum is σ = 29422673280. Its totient is φ = 5958780672.

The previous prime is 14305052123. The next prime is 14305052173. The reversal of 14305052132 is 23125050341.

It is a happy number.

14305052132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×143050521323 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113744 + ... + 203832.

It is an arithmetic number, because the mean of its divisors is an integer number (612972360).

Almost surely, 214305052132 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 14305052132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711336640).

14305052132 is an abundant number, since it is smaller than the sum of its proper divisors (15117621148).

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

14305052132 is a wasteful number, since it uses less digits than its factorization.

14305052132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90260 (or 90258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 14305052132 in words is "fourteen billion, three hundred five million, fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 106 107 212 214 371 428 742 749 1484 1498 2996 5671 11342 22684 39697 79394 90089 158788 180178 360356 630623 1261246 2522492 4774717 9549434 9639523 19098868 19279046 33423019 38558092 66846038 67476661 133692076 134953322 269906644 510894719 1021789438 2043578876 3576263033 7152526066 14305052132