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131324541376 = 2671429320509
BaseRepresentation
bin111101001001110001…
…1010111100111000000
3110112222020021220210211
41322103203113213000
54122423040311001
6140155112403504
712326226120010
oct1722343274700
9415866256724
10131324541376
1150770309726
12215503a6594
13c4cb423022
1464db377c40
1536392a0351
hex1e938d79c0

131324541376 has 56 divisors (see below), whose sum is σ = 297860659040. Its totient is φ = 56275264512.

The previous prime is 131324541367. The next prime is 131324541401. The reversal of 131324541376 is 673145423131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1313245413762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6393010 + ... + 6413518.

It is an arithmetic number, because the mean of its divisors is an integer number (5318940340).

Almost surely, 2131324541376 is an apocalyptic number.

131324541376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131324541376 is an abundant number, since it is smaller than the sum of its proper divisors (166536117664).

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

131324541376 is a wasteful number, since it uses less digits than its factorization.

131324541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34821 (or 34811 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The spelling of 131324541376 in words is "one hundred thirty-one billion, three hundred twenty-four million, five hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 14293 20509 28586 41018 57172 82036 100051 114344 143563 164072 200102 228688 287126 328144 400204 457376 574252 656288 800408 914752 1148504 1312576 1600816 2297008 3201632 4594016 6403264 9188032 293135137 586270274 1172540548 2051945959 2345081096 4103891918 4690162192 8207783836 9380324384 16415567672 18760648768 32831135344 65662270688 131324541376