Search a number
-
+
31441627136 = 211137112061
BaseRepresentation
bin11101010010000100…
…010010100000000000
310000011012222011000202
4131102010102200000
51003343024032021
622235531104332
72162103264263
oct352204224000
9100135864022
1031441627136
1112374a84917
1261158a20a8
132c70c59bca
141743ab4cda
15c40492a0b
hex752112800

31441627136 has 48 divisors (see below), whose sum is σ = 63327356820. Its totient is φ = 15605923840.

The previous prime is 31441627099. The next prime is 31441627153. The reversal of 31441627136 is 63172614413.

It can be written as a sum of positive squares in 2 ways, for example, as 28927206400 + 2514420736 = 170080^2 + 50144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31441627136.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224546 + ... + 336606.

Almost surely, 231441627136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31441627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31663678410).

31441627136 is an abundant number, since it is smaller than the sum of its proper divisors (31885729684).

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

31441627136 is a wasteful number, since it uses less digits than its factorization.

31441627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112220 (or 112200 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The spelling of 31441627136 in words is "thirty-one billion, four hundred forty-one million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2048 2192 4384 8768 17536 35072 70144 112061 140288 224122 280576 448244 896488 1792976 3585952 7171904 14343808 15352357 28687616 30704714 57375232 61409428 114750464 122818856 229500928 245637712 491275424 982550848 1965101696 3930203392 7860406784 15720813568 31441627136