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131436414 = 23219384317
BaseRepresentation
bin1111101010110…
…00111101111110
3100011022122212100
413311120331332
5232121431124
621013045530
73154122354
oct765307576
9304278770
10131436414
116821313a
12380268a6
13212cc535
14136557d4
15b8141c9
hex7d58f7e

131436414 has 24 divisors (see below), whose sum is σ = 299768040. Its totient is φ = 41506128.

The previous prime is 131436397. The next prime is 131436419. The reversal of 131436414 is 414634131.

131436414 is a `hidden beast` number, since 1 + 3 + 14 + 3 + 641 + 4 = 666.

131436414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131436419) 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 11 ways as a sum of consecutive naturals, for example, 191817 + ... + 192500.

It is an arithmetic number, because the mean of its divisors is an integer number (12490335).

Almost surely, 2131436414 is an apocalyptic number.

131436414 is an abundant number, since it is smaller than the sum of its proper divisors (168331626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131436414 is a wasteful number, since it uses less digits than its factorization.

131436414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384344 (or 384341 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 131436414 is about 11464.5721245932. The cubic root of 131436414 is about 508.4386620642.

The spelling of 131436414 in words is "one hundred thirty-one million, four hundred thirty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 384317 768634 1152951 2305902 3458853 6917706 7302023 14604046 21906069 43812138 65718207 131436414