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131040448 = 2671126591
BaseRepresentation
bin1111100111110…
…00010011000000
3100010120112200221
413303320103000
5232021243243
621000352424
73150553060
oct763702300
9303515627
10131040448
1167a726a0
1237a75714
13211c1236
14135913a0
15b786bed
hex7cf84c0

131040448 has 56 divisors (see below), whose sum is σ = 324209664. Its totient is φ = 51052800.

The previous prime is 131040389. The next prime is 131040457. The reversal of 131040448 is 844040131.

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

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 7 ways as a sum of consecutive naturals, for example, 8368 + ... + 18223.

Almost surely, 2131040448 is an apocalyptic number.

It is an amenable number.

131040448 is an abundant number, since it is smaller than the sum of its proper divisors (193169216).

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

131040448 is a wasteful number, since it uses less digits than its factorization.

131040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26621 (or 26611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 131040448 is about 11447.2899849702. The cubic root of 131040448 is about 507.9275735297.

Adding to 131040448 its reverse (844040131), we get a palindrome (975080579).

The spelling of 131040448 in words is "one hundred thirty-one million, forty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 26591 53182 106364 186137 212728 292501 372274 425456 585002 744548 850912 1170004 1489096 1701824 2047507 2340008 2978192 4095014 4680016 5956384 8190028 9360032 11912768 16380056 18720064 32760112 65520224 131040448