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131418414 = 23213155733
BaseRepresentation
bin1111101010101…
…00100100101110
3100011021202011200
413311110210232
5232120342124
621012430330
73154016031
oct765244456
9304252150
10131418414
1168200666
12380183a6
13212c429a
141364d018
15b80dbc9
hex7d5492e

131418414 has 24 divisors (see below), whose sum is σ = 286918632. Its totient is φ = 43470960.

The previous prime is 131418409. The next prime is 131418433. The reversal of 131418414 is 414814131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25509 + ... + 30224.

It is an arithmetic number, because the mean of its divisors is an integer number (11954943).

Almost surely, 2131418414 is an apocalyptic number.

131418414 is an abundant number, since it is smaller than the sum of its proper divisors (155500218).

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

131418414 is a wasteful number, since it uses less digits than its factorization.

131418414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55872 (or 55869 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 131418414 is about 11463.7870705976. The cubic root of 131418414 is about 508.4154510593.

The spelling of 131418414 in words is "one hundred thirty-one million, four hundred eighteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 55733 111466 167199 334398 501597 1003194 7301023 14602046 21903069 43806138 65709207 131418414