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13643700040 = 2351093129289
BaseRepresentation
bin11001011010011101…
…00101011101001000
31022012212000202220201
430231032211131020
5210420241400130
610133503501544
7662050352065
oct145516453510
938185022821
1013643700040
115871570863
1227892b78b4
13139585b2b9
14936049c6c
1554cc02bca
hex32d3a5748

13643700040 has 32 divisors (see below), whose sum is σ = 30979971000. Its totient is φ = 5407409664.

The previous prime is 13643700017. The next prime is 13643700053. The reversal of 13643700040 is 4000734631.

13643700040 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 4 ways, for example, as 13140953956 + 502746084 = 114634^2 + 22422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13643699981 and 13643700008.

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, 1560285 + ... + 1569004.

Almost surely, 213643700040 is an apocalyptic number.

13643700040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13643700040 is an abundant number, since it is smaller than the sum of its proper divisors (17336270960).

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

13643700040 is a wasteful number, since it uses less digits than its factorization.

13643700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129409 (or 3129405 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 13643700040 in words is "thirteen billion, six hundred forty-three million, seven hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 3129289 6258578 12517156 15646445 25034312 31292890 62585780 125171560 341092501 682185002 1364370004 1705462505 2728740008 3410925010 6821850020 13643700040