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15040434440 = 235761494101
BaseRepresentation
bin11100000000111101…
…01101000100001000
31102211012020020022102
432000132231010020
5221300322400230
610524240412532
71041500404043
oct160036550410
942735206272
1015040434440
116418a2a009
122ab9017148
131559035565
14a2974bc5a
155d0650045
hex3807ad108

15040434440 has 32 divisors (see below), whose sum is σ = 33885515160. Its totient is φ = 6008256000.

The previous prime is 15040434419. The next prime is 15040434457. The reversal of 15040434440 is 4443404051.

It can be written as a sum of positive squares in 4 ways, for example, as 6816483844 + 8223950596 = 82562^2 + 90686^2 .

It is a super-2 number, since 2×150404344402 (a number of 21 digits) contains 22 as substring.

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, 216611 + ... + 277490.

Almost surely, 215040434440 is an apocalyptic number.

15040434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15040434440 is an abundant number, since it is smaller than the sum of its proper divisors (18845080720).

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

15040434440 is a wasteful number, since it uses less digits than its factorization.

15040434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494873 (or 494869 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 15040434440 its reverse (4443404051), we get a palindrome (19483838491).

The spelling of 15040434440 in words is "fifteen billion, forty million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 761 1522 3044 3805 6088 7610 15220 30440 494101 988202 1976404 2470505 3952808 4941010 9882020 19764040 376010861 752021722 1504043444 1880054305 3008086888 3760108610 7520217220 15040434440