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134131262131431 = 321011065911384349
BaseRepresentation
bin11110011111110111011110…
…001110111000110011100111
3122120220211020021120011011100
4132133313132032320303213
5120040101311101201211
61153135015015011143
740152443500342455
oct3637673616706347
9576824207504140
10134131262131431
1139813826750a54
1213063654369ab3
1359ac6a6891a76
142519db846b9d5
1510790de0c7156
hex79fdde3b8ce7

134131262131431 has 24 divisors (see below), whose sum is σ = 195665402275200. Its totient is φ = 88534591992000.

The previous prime is 134131262131421. The next prime is 134131262131457.

134131262131431 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 1 + 2 + 6 + 213 + 1 + 431 = 666.

134131262131431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134131262131431 - 26 = 134131262131367 is a prime.

It is a super-2 number, since 2×1341312621314312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134131262131421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96199045 + ... + 97583393.

It is an arithmetic number, because the mean of its divisors is an integer number (8152725094800).

Almost surely, 2134131262131431 is an apocalyptic number.

134131262131431 is a deficient number, since it is larger than the sum of its proper divisors (61534140143769).

134131262131431 is a wasteful number, since it uses less digits than its factorization.

134131262131431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491047 (or 1491044 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 134131262131431 in words is "one hundred thirty-four trillion, one hundred thirty-one billion, two hundred sixty-two million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 101 303 909 106591 319773 959319 1384349 4153047 10765691 12459141 32297073 96891219 139819249 419457747 1258373241 147559144259 442677432777 1328032298331 14903473570159 44710420710477 134131262131431