Search a number
-
+
524120040021425 = 52292409730000589
BaseRepresentation
bin111011100101011110011010…
…0110011100001110110110001
32112201202101102202012202120212
41313022330310303201312301
51022144140320221141200
65054413231124113505
7215253265121362601
oct16712746463416661
92481671382182525
10524120040021425
111420010738a1251
124a949b84b35895
131965b400030a13
14935d78c3bac01
15408d871e9d035
hex1dcaf34ce1db1

524120040021425 has 24 divisors (see below), whose sum is σ = 672347422572600. Its totient is φ = 404820734330880.

The previous prime is 524120040021401. The next prime is 524120040021451.

524120040021425 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 5527201 + 524120034494224 = 2351^2 + 22893668^2 .

It is not a de Polignac number, because 524120040021425 - 214 = 524120040005041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 524120040021391 and 524120040021400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2470031 + ... + 32470619.

It is an arithmetic number, because the mean of its divisors is an integer number (28014475940525).

Almost surely, 2524120040021425 is an apocalyptic number.

It is an amenable number.

524120040021425 is a deficient number, since it is larger than the sum of its proper divisors (148227382551175).

524120040021425 is a wasteful number, since it uses less digits than its factorization.

524120040021425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30024725 (or 30024720 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 524120040021425 in words is "five hundred twenty-four trillion, one hundred twenty billion, forty million, twenty-one thousand, four hundred twenty-five".

Divisors: 1 5 25 29 145 725 24097 120485 602425 698813 3494065 17470325 30000589 150002945 750014725 870017081 4350085405 21750427025 722924193133 3614620965665 18073104828325 20964801600857 104824008004285 524120040021425