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15055105040 = 245473339761
BaseRepresentation
bin11100000010101101…
…01010110000010000
31102212012211120120222
432001112222300100
5221313101330130
610525523052212
71042036165343
oct160126526020
942765746528
1015055105040
11642623a278
122b01b11068
13155c0a0ca1
14a2b68a45a
155d1a9bce5
hex3815aac10

15055105040 has 40 divisors (see below), whose sum is σ = 35011395288. Its totient is φ = 6020618240.

The previous prime is 15055105007. The next prime is 15055105067. The reversal of 15055105040 is 4050155051.

It can be written as a sum of positive squares in 4 ways, for example, as 150601984 + 14904503056 = 12272^2 + 122084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358760 + ... + 398520.

Almost surely, 215055105040 is an apocalyptic number.

15055105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15055105040 is an abundant number, since it is smaller than the sum of its proper divisors (19956290248).

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

15055105040 is a wasteful number, since it uses less digits than its factorization.

15055105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44507 (or 44501 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The spelling of 15055105040 in words is "fifteen billion, fifty-five million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4733 9466 18932 23665 37864 39761 47330 75728 79522 94660 159044 189320 198805 318088 378640 397610 636176 795220 1590440 3180880 188188813 376377626 752755252 940944065 1505510504 1881888130 3011021008 3763776260 7527552520 15055105040