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13140042431 = 197318720929
BaseRepresentation
bin11000011110011010…
…10010001010111111
31020220202022022120012
430033031102022333
5203402322324211
610011512413435
7643423342415
oct141715221277
936822268505
1013140042431
1156332363aa
1226686a727b
1313153c5449
148c91c12b5
1551d8b5d8b
hex30f3522bf

13140042431 has 8 divisors (see below), whose sum is σ = 13211518320. Its totient is φ = 13068615168.

The previous prime is 13140042379. The next prime is 13140042451. The reversal of 13140042431 is 13424004131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13140042431 is a prime.

It is a super-2 number, since 2×131400424312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13140042397 and 13140042406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140042451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617375 + ... + 638303.

It is an arithmetic number, because the mean of its divisors is an integer number (1651439790).

Almost surely, 213140042431 is an apocalyptic number.

13140042431 is a deficient number, since it is larger than the sum of its proper divisors (71475889).

13140042431 is a wasteful number, since it uses less digits than its factorization.

13140042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24313.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13140042431 its reverse (13424004131), we get a palindrome (26564046562).

The spelling of 13140042431 in words is "thirteen billion, one hundred forty million, forty-two thousand, four hundred thirty-one".

Divisors: 1 197 3187 20929 627839 4123013 66700723 13140042431