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13815804040 = 235345395101
BaseRepresentation
bin11001101110111110…
…00111000010001000
31022122211212120012221
430313133013002020
5211243321212130
610202532343424
7666240253033
oct146737070210
938584776187
1013815804040
11594a730075
122816a74b74
1313c23c919c
14950c4a01a
1555cd9b87a
hex3377c7088

13815804040 has 16 divisors (see below), whose sum is σ = 31085559180. Its totient is φ = 5526321600.

The previous prime is 13815803951. The next prime is 13815804127. The reversal of 13815804040 is 4040851831.

13815804040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13667012836 + 148791204 = 116906^2 + 12198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13815803987 and 13815804005.

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 3 ways as a sum of consecutive naturals, for example, 172697511 + ... + 172697590.

Almost surely, 213815804040 is an apocalyptic number.

13815804040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13815804040 is an abundant number, since it is smaller than the sum of its proper divisors (17269755140).

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

13815804040 is a wasteful number, since it uses less digits than its factorization.

13815804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345395112 (or 345395108 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 13815804040 in words is "thirteen billion, eight hundred fifteen million, eight hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 345395101 690790202 1381580404 1726975505 2763160808 3453951010 6907902020 13815804040