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1313425653156 = 2232294861258809
BaseRepresentation
bin10011000111001110010…
…001001111110110100100
311122120011220002022001100
4103013032101033312210
5133004343431400111
62443213542000100
7163614624563331
oct23071621176644
94576156068040
101313425653156
114670255a4111
12192673716030
1396b1771ccc6
14477da675988
1524272906756
hex131ce44fda4

1313425653156 has 72 divisors (see below), whose sum is σ = 3435252420600. Its totient is φ = 422623111680.

The previous prime is 1313425653149. The next prime is 1313425653157. The reversal of 1313425653156 is 6513565243131.

1313425653156 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 565 + 31 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 274995360000 + 1038430293156 = 524400^2 + 1019034^2 .

It is not an unprimeable number, because it can be changed into a prime (1313425653157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4945480 + ... + 5204288.

It is an arithmetic number, because the mean of its divisors is an integer number (47711839175).

Almost surely, 21313425653156 is an apocalyptic number.

It is an amenable number.

1313425653156 is an abundant number, since it is smaller than the sum of its proper divisors (2121826767444).

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

1313425653156 is a wasteful number, since it uses less digits than its factorization.

1313425653156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263709 (or 263704 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 1313425653156 in words is "one trillion, three hundred thirteen billion, four hundred twenty-five million, six hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 4861 9722 14583 19444 29166 43749 58332 87498 140969 174996 258809 281938 422907 517618 563876 776427 845814 1035236 1268721 1552854 1691628 2329281 2537442 3105708 4658562 5074884 7505461 9317124 15010922 22516383 30021844 45032766 67549149 90065532 135098298 270196596 1258070549 2516141098 3774211647 5032282196 7548423294 11322634941 15096846588 22645269882 36484045921 45290539764 72968091842 109452137763 145936183684 218904275526 328356413289 437808551052 656712826578 1313425653156