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131436427429 = 2943532157239
BaseRepresentation
bin111101001101000111…
…0001011100010100101
3110120021000211022121201
41322122032023202211
54123140211134204
6140214150442501
712332055125266
oct1723216134245
9416230738551
10131436427429
115081848933a
1221581963431
13c5186689a8
14650c18096d
1536440019a4
hex1e9a38b8a5

131436427429 has 48 divisors (see below), whose sum is σ = 143305747200. Its totient is φ = 120333927168.

The previous prime is 131436427403. The next prime is 131436427453. The reversal of 131436427429 is 924724634131.

It is not a de Polignac number, because 131436427429 - 213 = 131436419237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131436457429) 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 47 ways as a sum of consecutive naturals, for example, 549943092 + ... + 549943330.

It is an arithmetic number, because the mean of its divisors is an integer number (2985536400).

Almost surely, 2131436427429 is an apocalyptic number.

It is an amenable number.

131436427429 is a deficient number, since it is larger than the sum of its proper divisors (11869319771).

131436427429 is a wasteful number, since it uses less digits than its factorization.

131436427429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 521 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The spelling of 131436427429 in words is "one hundred thirty-one billion, four hundred thirty-six million, four hundred twenty-seven thousand, four hundred twenty-nine".

Divisors: 1 29 43 53 157 239 1247 1537 2279 2809 4553 6751 6931 8321 10277 12667 37523 66091 81461 120787 195779 241309 298033 357803 367343 441013 544681 671351 1088167 1613489 1988719 3502823 10376287 12789377 15795749 18963559 19469179 28868093 46791181 57672851 85514917 105402107 549943211 837174697 2479932593 3056661103 4532290601 131436427429