Search a number
-
+
1313605114344 = 233318893219431
BaseRepresentation
bin10011000111011000111…
…101110101100111101000
311122120122101202212112000
4103013120331311213220
5133010230402124334
62443243432251000
7163622234145645
oct23073075654750
94576571685460
101313605114344
11467107928a46
12192703840a60
1396b45965863
144781642cdcc
1524283555299
hex131d8f759e8

1313605114344 has 64 divisors (see below), whose sum is σ = 3650835888000. Its totient is φ = 437636436480.

The previous prime is 1313605114319. The next prime is 1313605114397. The reversal of 1313605114344 is 4434115063131.

1313605114344 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 60 + 511 + 43 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1313605114299 and 1313605114308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201692 + ... + 2017739.

It is an arithmetic number, because the mean of its divisors is an integer number (57044310750).

Almost surely, 21313605114344 is an apocalyptic number.

It is an amenable number.

1313605114344 is an abundant number, since it is smaller than the sum of its proper divisors (2337230773656).

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

1313605114344 is a wasteful number, since it uses less digits than its factorization.

1313605114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221335 (or 3221325 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1313605114344 in words is "one trillion, three hundred thirteen billion, six hundred five million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1889 3778 5667 7556 11334 15112 17001 22668 34002 45336 51003 68004 102006 136008 204012 408024 3219431 6438862 9658293 12877724 19316586 25755448 28974879 38633172 57949758 77266344 86924637 115899516 173849274 231799032 347698548 695397096 6081505159 12163010318 18244515477 24326020636 36489030954 48652041272 54733546431 72978061908 109467092862 145956123816 164200639293 218934185724 328401278586 437868371448 656802557172 1313605114344