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131419414 = 2714296569
BaseRepresentation
bin1111101010101…
…00110100010110
3100011021210112201
413311110310112
5232120410124
621012435114
73154021660
oct765246426
9304253481
10131419414
1168201395
1238018a9a
13212c4889
141364d530
15b80e144
hex7d54d16

131419414 has 16 divisors (see below), whose sum is σ = 225482400. Its totient is φ = 56274624.

The previous prime is 131419403. The next prime is 131419417. The reversal of 131419414 is 414914131.

It is a super-2 number, since 2×1314194142 = 34542124752206792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131419417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16722 + ... + 23290.

It is an arithmetic number, because the mean of its divisors is an integer number (14092650).

Almost surely, 2131419414 is an apocalyptic number.

131419414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131419414 is a deficient number, since it is larger than the sum of its proper divisors (94062986).

131419414 is a wasteful number, since it uses less digits than its factorization.

131419414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007.

The product of its digits is 1728, while the sum is 28.

The square root of 131419414 is about 11463.8306861188. The cubic root of 131419414 is about 508.4167406152.

The spelling of 131419414 in words is "one hundred thirty-one million, four hundred nineteen thousand, four hundred fourteen".

Divisors: 1 2 7 14 1429 2858 6569 10003 13138 20006 45983 91966 9387101 18774202 65709707 131419414