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13462904040 = 2335112190867
BaseRepresentation
bin11001000100111001…
…11001110011101000
31021202020211101102120
430202130321303220
5210033000412130
610103524431240
7654423540045
oct144234716350
937666741376
1013462904040
115789505083
122738848520
131367269011
1491a0261cc
1553bddd910
hex322739ce8

13462904040 has 32 divisors (see below), whose sum is σ = 40388712480. Its totient is φ = 3590107712.

The previous prime is 13462904023. The next prime is 13462904069. The reversal of 13462904040 is 4040926431.

13462904040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13462903992 and 13462904010.

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 7 ways as a sum of consecutive naturals, for example, 56095314 + ... + 56095553.

It is an arithmetic number, because the mean of its divisors is an integer number (1262147265).

Almost surely, 213462904040 is an apocalyptic number.

13462904040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13462904040 is an abundant number, since it is smaller than the sum of its proper divisors (26925808440).

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

13462904040 is a wasteful number, since it uses less digits than its factorization.

13462904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112190881 (or 112190877 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 13462904040 in words is "thirteen billion, four hundred sixty-two million, nine hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 112190867 224381734 336572601 448763468 560954335 673145202 897526936 1121908670 1346290404 1682863005 2243817340 2692580808 3365726010 4487634680 6731452020 13462904040