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13042000040 = 2352314176087
BaseRepresentation
bin11000010010101110…
…10010000010101000
31020122220211020200112
430021113102002220
5203202223000130
65554051153452
7641123112506
oct141127220250
936586736615
1013042000040
115592961733
12263b8a5888
1312cacb89b4
148ba17d676
15514e9b495
hex3095d20a8

13042000040 has 32 divisors (see below), whose sum is σ = 30620350080. Its totient is φ = 4989982272.

The previous prime is 13042000009. The next prime is 13042000043. The reversal of 13042000040 is 4000024031.

It is a junction number, because it is equal to n+sod(n) for n = 13041999979 and 13042000024.

It is not an unprimeable number, because it can be changed into a prime (13042000043) by changing a digit.

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, 7087124 + ... + 7088963.

It is an arithmetic number, because the mean of its divisors is an integer number (956885940).

Almost surely, 213042000040 is an apocalyptic number.

13042000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13042000040 is an abundant number, since it is smaller than the sum of its proper divisors (17578350040).

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

13042000040 is a wasteful number, since it uses less digits than its factorization.

13042000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176121 (or 14176117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 13042000040 its reverse (4000024031), we get a palindrome (17042024071).

The spelling of 13042000040 in words is "thirteen billion, forty-two million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 14176087 28352174 56704348 70880435 113408696 141760870 283521740 326050001 567043480 652100002 1304200004 1630250005 2608400008 3260500010 6521000020 13042000040