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13140204664311 = 3237279471411961
BaseRepresentation
bin1011111100110111000100…
…1110110011010111110111
31201112012011110022102200100
42333031301032303113313
53210242114343224221
643540305433045143
72524230343522554
oct277156116632767
951465143272610
1013140204664311
114206802a7219a
1215827abb567b3
13744167a7874a
14335dbc8cba2b
1517bc18334926
hexbf3713b35f7

13140204664311 has 24 divisors (see below), whose sum is σ = 19493987904144. Its totient is φ = 8523064978560.

The previous prime is 13140204664297. The next prime is 13140204664319. The reversal of 13140204664311 is 11346640204131.

13140204664311 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 2 + 0 + 4 + 6 + 643 + 1 + 1 = 666.

It is not a de Polignac number, because 13140204664311 - 26 = 13140204664247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140204664319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8600371 + ... + 10012331.

It is an arithmetic number, because the mean of its divisors is an integer number (812249496006).

Almost surely, 213140204664311 is an apocalyptic number.

13140204664311 is a deficient number, since it is larger than the sum of its proper divisors (6353783239833).

13140204664311 is a wasteful number, since it uses less digits than its factorization.

13140204664311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439951 (or 1439948 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13140204664311 its reverse (11346640204131), we get a palindrome (24486844868442).

The spelling of 13140204664311 in words is "thirteen trillion, one hundred forty billion, two hundred four million, six hundred sixty-four thousand, three hundred eleven".

Divisors: 1 3 9 37 111 333 27947 83841 251523 1034039 1411961 3102117 4235883 9306351 12707649 52242557 156727671 470183013 39460074067 118380222201 355140666603 1460022740479 4380068221437 13140204664311