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131424434322399 = 3241999135167859
BaseRepresentation
bin11101111000011110100010…
…101110001111101111011111
3122020100001102210111021021100
4131320132202232033233133
5114211224220141304044
61143303315053004143
736453046666524201
oct3570364256175737
9566301383437240
10131424434322399
113896a875a46599
12128a6b29183653
13584436a45619a
142464d95980771
15102d9b78dc869
hex7787a2b8fbdf

131424434322399 has 24 divisors (see below), whose sum is σ = 190480383475200. Its totient is φ = 87318977985360.

The previous prime is 131424434322373. The next prime is 131424434322403. The reversal of 131424434322399 is 993223434424131.

131424434322399 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 244 + 3 + 4 + 3 + 2 + 2 + 399 = 666.

It is a de Polignac number, because none of the positive numbers 2k-131424434322399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131424434322319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13846869 + ... + 21320990.

It is an arithmetic number, because the mean of its divisors is an integer number (7936682644800).

Almost surely, 2131424434322399 is an apocalyptic number.

131424434322399 is a deficient number, since it is larger than the sum of its proper divisors (59055949152801).

131424434322399 is a wasteful number, since it uses less digits than its factorization.

131424434322399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35169275 (or 35169272 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 131424434322399 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, four hundred thirty-four million, three hundred twenty-two thousand, three hundred ninety-nine".

Divisors: 1 3 9 419 991 1257 2973 3771 8919 415229 1245687 3737061 35167859 105503577 316510731 14735332921 34851348269 44205998763 104554044807 132617996289 313662134421 14602714924711 43808144774133 131424434322399