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13040870401 = 13712198997
BaseRepresentation
bin11000010010100101…
…11110010000000001
31020122211200212010001
430021102332100001
5203201430323101
65554011040001
7641110366216
oct141122762001
936584625101
1013040870401
11559225aa49
12263b440001
1312ca9b1780
148b9d67b0d
15514d26901
hex3094be401

13040870401 has 12 divisors (see below), whose sum is σ = 14244674836. Its totient is φ = 11868121440.

The previous prime is 13040870393. The next prime is 13040870431. The reversal of 13040870401 is 10407804031.

It can be written as a sum of positive squares in 2 ways, for example, as 8783438400 + 4257432001 = 93720^2 + 65249^2 .

It is not a de Polignac number, because 13040870401 - 23 = 13040870393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13040870401.

It is not an unprimeable number, because it can be changed into a prime (13040870431) 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 11 ways as a sum of consecutive naturals, for example, 33966 + ... + 165031.

Almost surely, 213040870401 is an apocalyptic number.

It is an amenable number.

13040870401 is a deficient number, since it is larger than the sum of its proper divisors (1203804435).

13040870401 is an equidigital number, since it uses as much as digits as its factorization.

13040870401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199152 (or 199081 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 13040870401 in words is "thirteen billion, forty million, eight hundred seventy thousand, four hundred one".

Divisors: 1 13 71 923 5041 65533 198997 2586961 14128787 183674231 1003143877 13040870401