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13132247040 = 2123351117127
BaseRepresentation
bin11000011101011111…
…00011000000000000
31020220012122021022000
430032233203000000
5203343323401130
610011033344000
7643300154343
oct141657430000
936805567260
1013132247040
1156298a1630
122665b68000
1313138c61a3
148c815245a
1551cd76260
hex30ebe3000

13132247040 has 832 divisors, whose sum is σ = 54351544320. Its totient is φ = 2972712960.

The previous prime is 13132247033. The next prime is 13132247077. The reversal of 13132247040 is 4074223131.

It is a happy number.

13132247040 is a `hidden beast` number, since 131 + 3 + 22 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13132246995 and 13132247013.

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 63 ways as a sum of consecutive naturals, for example, 103403457 + ... + 103403583.

Almost surely, 213132247040 is an apocalyptic number.

13132247040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27175772160).

13132247040 is an abundant number, since it is smaller than the sum of its proper divisors (41219297280).

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

13132247040 is a wasteful number, since it uses less digits than its factorization.

13132247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 13132247040 in words is "thirteen billion, one hundred thirty-two million, two hundred forty-seven thousand, forty".