Search a number
-
+
15140458728 = 2332210284149
BaseRepresentation
bin11100001100111000…
…10001000011101000
31110002011102222211200
432012130101003220
5222001424134403
610542212324200
71044123530043
oct160634210350
943064388750
1015140458728
11646a43780a
122b26613660
131573987125
14a38b47c5a
155d930bca3
hex3867110e8

15140458728 has 24 divisors (see below), whose sum is σ = 41005409250. Its totient is φ = 5046819552.

The previous prime is 15140458709. The next prime is 15140458747. The reversal of 15140458728 is 82785404151.

15140458728 is a `hidden beast` number, since 1 + 5 + 1 + 40 + 4 + 587 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (15140458709) and next prime (15140458747).

It can be written as a sum of positive squares in only one way, i.e., 9281780964 + 5858677764 = 96342^2 + 76542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105142003 + ... + 105142146.

Almost surely, 215140458728 is an apocalyptic number.

15140458728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15140458728 is an abundant number, since it is smaller than the sum of its proper divisors (25864950522).

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

15140458728 is a wasteful number, since it uses less digits than its factorization.

15140458728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210284161 (or 210284154 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 15140458728 in words is "fifteen billion, one hundred forty million, four hundred fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 210284149 420568298 630852447 841136596 1261704894 1682273192 1892557341 2523409788 3785114682 5046819576 7570229364 15140458728