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14131040013 = 328811782197
BaseRepresentation
bin11010010100100011…
…01000111100001101
31100110211001012200100
431022101220330031
5212420021240023
610254113121313
71010115600246
oct151221507415
940424035610
1014131040013
115aa1670572
1228a4559239
1314427ccb4c
14980a67ccd
1557a8b9c43
hex34a468f0d

14131040013 has 12 divisors (see below), whose sum is σ = 20434682268. Its totient is φ = 9409994880.

The previous prime is 14131040003. The next prime is 14131040023. The reversal of 14131040013 is 31004013141.

It is an interprime number because it is at equal distance from previous prime (14131040003) and next prime (14131040023).

It can be written as a sum of positive squares in 2 ways, for example, as 7927587369 + 6203452644 = 89037^2 + 78762^2 .

It is not a de Polignac number, because 14131040013 - 25 = 14131039981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131040003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883170 + ... + 899027.

It is an arithmetic number, because the mean of its divisors is an integer number (1702890189).

Almost surely, 214131040013 is an apocalyptic number.

It is an amenable number.

14131040013 is a deficient number, since it is larger than the sum of its proper divisors (6303642255).

14131040013 is a wasteful number, since it uses less digits than its factorization.

14131040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783084 (or 1783081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14131040013 its reverse (31004013141), we get a palindrome (45135053154).

The spelling of 14131040013 in words is "fourteen billion, one hundred thirty-one million, forty thousand, thirteen".

Divisors: 1 3 9 881 2643 7929 1782197 5346591 16039773 1570115557 4710346671 14131040013