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13442630656 = 210713144259
BaseRepresentation
bin11001000010011111…
…00100010000000000
31021200211200101120111
430201033210100000
5210012303140111
610101522121104
7654056322010
oct144117442000
937624611514
1013442630656
115779018414
122731ab0194
131362cbb330
14917469c40
1553a236a21
hex3213e4400

13442630656 has 88 divisors (see below), whose sum is σ = 33073624640. Its totient is φ = 5317926912.

The previous prime is 13442630639. The next prime is 13442630671. The reversal of 13442630656 is 65603624431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21055 + ... + 165313.

Almost surely, 213442630656 is an apocalyptic number.

13442630656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536812320).

13442630656 is an abundant number, since it is smaller than the sum of its proper divisors (19630993984).

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

13442630656 is a wasteful number, since it uses less digits than its factorization.

13442630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144299 (or 144281 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 13442630656 in words is "thirteen billion, four hundred forty-two million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2912 3328 3584 5824 6656 7168 11648 13312 23296 46592 93184 144259 288518 577036 1009813 1154072 1875367 2019626 2308144 3750734 4039252 4616288 7501468 8078504 9232576 13127569 15002936 16157008 18465152 26255138 30005872 32314016 36930304 52510276 60011744 64628032 73860608 105020552 120023488 129256064 147721216 210041104 240046976 258512128 420082208 480093952 517024256 840164416 960187904 1034048512 1680328832 1920375808 3360657664 6721315328 13442630656