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131872144 = 2437337661
BaseRepresentation
bin1111101110000…
…11010110010000
3100012010210120111
413313003112100
5232224402034
621030251104
73160615615
oct767032620
9305123514
10131872144
1168490548
12381b6a94
1321422971
141372a50c
15b89d364
hex7dc3590

131872144 has 40 divisors (see below), whose sum is σ = 263584568. Its totient is φ = 63866880.

The previous prime is 131872129. The next prime is 131872151. The reversal of 131872144 is 441278131.

It can be written as a sum of positive squares in 4 ways, for example, as 49280400 + 82591744 = 7020^2 + 9088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199174 + ... + 199834.

Almost surely, 2131872144 is an apocalyptic number.

It is an amenable number.

131872144 is a deficient number, since it is larger than the sum of its proper divisors (131712424).

131872144 is a wasteful number, since it uses less digits than its factorization.

131872144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 131872144 is about 11483.5597268443. The cubic root of 131872144 is about 508.9998906391. Note that the first 3 decimals are identical.

The spelling of 131872144 in words is "one hundred thirty-one million, eight hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 337 592 661 674 1322 1348 2644 2696 5288 5392 10576 12469 24457 24938 48914 49876 97828 99752 195656 199504 222757 391312 445514 891028 1782056 3564112 8242009 16484018 32968036 65936072 131872144