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131286444 = 223172632447
BaseRepresentation
bin1111101001101…
…00010110101100
3100011001001010220
413310310112230
5232102131234
621005531340
73152626212
oct764642654
9304031126
10131286444
11681204a3
1237b73b50
13212791b3
1413616cb2
15b7d4a49
hex7d345ac

131286444 has 48 divisors (see below), whose sum is σ = 325721088. Its totient is φ = 41014528.

The previous prime is 131286431. The next prime is 131286487. The reversal of 131286444 is 444682131.

It is a super-2 number, since 2×1312864442 = 34472260756330272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52429 + ... + 54875.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856).

Almost surely, 2131286444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131286444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544).

131286444 is an abundant number, since it is smaller than the sum of its proper divisors (194434644).

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

131286444 is a wasteful number, since it uses less digits than its factorization.

131286444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2732 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 131286444 is about 11458.0296735521. The cubic root of 131286444 is about 508.2452109419.

The spelling of 131286444 in words is "one hundred thirty-one million, two hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 789 1052 1578 2447 3156 4471 4894 7341 8942 9788 13413 14682 17884 26826 29364 41599 53652 83198 124797 166396 249594 499188 643561 1287122 1930683 2574244 3861366 7722732 10940537 21881074 32821611 43762148 65643222 131286444