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13531134144 = 263116406787
BaseRepresentation
bin11001001101000010…
…01011100011000000
31021221000012211112110
430212201023203000
5210202432243034
610114403055320
7656212512453
oct144641134300
937830184473
1013531134144
115813a773a0
122757671540
131378438068
1492510749a
15542db9de9
hex32684b8c0

13531134144 has 56 divisors (see below), whose sum is σ = 39055779648. Its totient is φ = 4100343040.

The previous prime is 13531134119. The next prime is 13531134167. The reversal of 13531134144 is 44143113531.

It is a super-2 number, since 2×135311341442 (a number of 21 digits) contains 22 as substring.

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, 3201282 + ... + 3205505.

Almost surely, 213531134144 is an apocalyptic number.

It is an amenable number.

13531134144 is an abundant number, since it is smaller than the sum of its proper divisors (25524645504).

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

13531134144 is a wasteful number, since it uses less digits than its factorization.

13531134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406813 (or 6406803 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 13531134144 its reverse (44143113531), we get a palindrome (57674247675).

The spelling of 13531134144 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6406787 12813574 19220361 25627148 38440722 51254296 70474657 76881444 102508592 140949314 153762888 205017184 211423971 281898628 307525776 410034368 422847942 563797256 615051552 845695884 1127594512 1230103104 1691391768 2255189024 3382783536 4510378048 6765567072 13531134144