Search a number
-
+
34156343255364 = 22321186253392059
BaseRepresentation
bin1111100010000101001001…
…01101001110000101000100
311110221022111021210201210200
413301002210231032011010
513434104142333132424
6200351112451450500
710123500012215421
oct761024455160504
9143838437721720
1034156343255364
11a97969534a480
1239b788a2b6a30
131609c10a17175
148612666bcd48
153e37416a18c9
hex1f10a4b4e144

34156343255364 has 36 divisors (see below), whose sum is σ = 94188704129520. Its totient is φ = 10350407046960.

The previous prime is 34156343255317. The next prime is 34156343255371. The reversal of 34156343255364 is 46355234365143.

It is a happy number.

34156343255364 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 63 + 43 + 2 + 5 + 536 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34156343255364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43126695634 + ... + 43126696425.

Almost surely, 234156343255364 is an apocalyptic number.

It is an amenable number.

34156343255364 is an abundant number, since it is smaller than the sum of its proper divisors (60032360874156).

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

34156343255364 is a wasteful number, since it uses less digits than its factorization.

34156343255364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86253392080 (or 86253392075 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 54.

The spelling of 34156343255364 in words is "thirty-four trillion, one hundred fifty-six billion, three hundred forty-three million, two hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 86253392059 172506784118 258760176177 345013568236 517520352354 776280528531 948787312649 1035040704708 1552561057062 1897574625298 2846361937947 3105122114124 3795149250596 5692723875894 8539085813841 11385447751788 17078171627682 34156343255364