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131244344 = 23721122767
BaseRepresentation
bin1111101001010…
…10000100111000
3100010221220101122
413310222010320
5232044304334
621005004412
73152362400
oct764520470
9303856348
10131244344
11680a1900
1237b53708
1321262c9a
1413605800
15b7c732e
hex7d2a138

131244344 has 72 divisors (see below), whose sum is σ = 314763120. Its totient is φ = 51115680.

The previous prime is 131244329. The next prime is 131244361. The reversal of 131244344 is 443442131.

131244344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46049 + ... + 48815.

It is an arithmetic number, because the mean of its divisors is an integer number (4371710).

Almost surely, 2131244344 is an apocalyptic number.

131244344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131244344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157381560).

131244344 is an abundant number, since it is smaller than the sum of its proper divisors (183518776).

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

131244344 is a wasteful number, since it uses less digits than its factorization.

131244344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2787 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 131244344 is about 11456.1923866527. The cubic root of 131244344 is about 508.1908783181.

Adding to 131244344 its reverse (443442131), we get a palindrome (574686475).

The spelling of 131244344 in words is "one hundred thirty-one million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 2767 3388 4312 5534 5929 6776 11068 11858 19369 22136 23716 30437 38738 47432 60874 77476 121748 135583 154952 213059 243496 271166 334807 426118 542332 669614 852236 1084664 1339228 1491413 1704472 2343649 2678456 2982826 4687298 5965652 9374596 11931304 16405543 18749192 32811086 65622172 131244344