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13140353521431 = 332333407351217
BaseRepresentation
bin1011111100110111101000…
…0110101001011100010111
31201112012112211102011021000
42333031322012221130113
53210242421000141211
643540332311354343
72524234132012413
oct277157206513427
951465484364230
1013140353521431
114206879aa3804
1215828319829b3
1374418c867396
14335dd4599d43
1517bc2643a656
hexbf37a1a9717

13140353521431 has 32 divisors (see below), whose sum is σ = 19480696643520. Its totient is φ = 8754159946752.

The previous prime is 13140353521409. The next prime is 13140353521457. The reversal of 13140353521431 is 13412535304131.

13140353521431 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 3 + 53 + 521 + 43 + 1 = 666.

It is not a de Polignac number, because 13140353521431 - 238 = 12865475614487 is a prime.

It is a super-2 number, since 2×131403535214312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140353521831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256536735 + ... + 256587951.

It is an arithmetic number, because the mean of its divisors is an integer number (608771770110).

Almost surely, 213140353521431 is an apocalyptic number.

13140353521431 is a deficient number, since it is larger than the sum of its proper divisors (6340343122089).

13140353521431 is a wasteful number, since it uses less digits than its factorization.

13140353521431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57632 (or 57626 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13140353521431 its reverse (13412535304131), we get a palindrome (26552888825562).

The spelling of 13140353521431 in words is "thirteen trillion, one hundred forty billion, three hundred fifty-three million, five hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 2333 4073 6999 12219 20997 36657 51217 62991 109971 153651 460953 1382859 9502309 28506927 85520781 119489261 208606841 256562343 358467783 625820523 1075403349 1877461569 3226210047 5632384707 486679760053 1460039280159 4380117840477 13140353521431