Search a number
-
+
413432264000412 = 223211484229555567
BaseRepresentation
bin101111000000000111011001…
…1001111000000001110011100
32000012211201221022202001111100
41132000032303033000032130
5413142133234041003122
64023144054325153100
7153040331625041136
oct13600166317001634
92005751838661440
10413432264000412
1110a806702964838
123a451b3885b790
131498c658c889b7
14741432a818056
1532be4c6947aac
hex17803b33c039c

413432264000412 has 18 divisors (see below), whose sum is σ = 1045064889556688. Its totient is φ = 137810754666792.

The previous prime is 413432264000401. The next prime is 413432264000419. The reversal of 413432264000412 is 214000462234314.

413432264000412 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 3 + 2 + 2 + 640 + 0 + 0 + 4 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11484229555567 = 413432264000412 / (4 + 1 + 3 + 4 + 3 + 2 + 2 + 6 + 4 + 0 + 0 + 0 + 4 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413432264000419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5742114777748 + ... + 5742114777819.

Almost surely, 2413432264000412 is an apocalyptic number.

It is an amenable number.

413432264000412 is an abundant number, since it is smaller than the sum of its proper divisors (631632625556276).

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

413432264000412 is a wasteful number, since it uses less digits than its factorization.

413432264000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484229555577 (or 11484229555572 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 413432264000412 in words is "four hundred thirteen trillion, four hundred thirty-two billion, two hundred sixty-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 11484229555567 22968459111134 34452688666701 45936918222268 68905377333402 103358066000103 137810754666804 206716132000206 413432264000412