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131444384 = 257356269
BaseRepresentation
bin1111101010110…
…10111010100000
3100011100001210112
413311122322200
5232122210014
621013150452
73154154531
oct765327240
9304301715
10131444384
1168219125
123802b428
1321303056
1413658688
15b81673e
hex7d5aea0

131444384 has 24 divisors (see below), whose sum is σ = 262330740. Its totient is φ = 64820736.

The previous prime is 131444381. The next prime is 131444407. The reversal of 131444384 is 483444131.

It can be written as a sum of positive squares in 2 ways, for example, as 112954384 + 18490000 = 10628^2 + 4300^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131444384.

It is not an unprimeable number, because it can be changed into a prime (131444381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25799 + ... + 30470.

Almost surely, 2131444384 is an apocalyptic number.

It is an amenable number.

131444384 is a deficient number, since it is larger than the sum of its proper divisors (130886356).

131444384 is an equidigital number, since it uses as much as digits as its factorization.

131444384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56352 (or 56344 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 131444384 is about 11464.9197118863. The cubic root of 131444384 is about 508.4489387044.

The spelling of 131444384 in words is "one hundred thirty-one million, four hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 2336 56269 112538 225076 450152 900304 1800608 4107637 8215274 16430548 32861096 65722192 131444384