Search a number
-
+
415379129148 = 223224594692277
BaseRepresentation
bin1100000101101101000…
…01101000001100111100
31110201011111010002002200
412002312201220030330
523301144024113043
6514453400151500
742003324225144
oct6026641501474
91421144102080
10415379129148
11150185764795
1268605768590
133022989c069
14161668b7924
15ac11b4c7d3
hex60b686833c

415379129148 has 36 divisors (see below), whose sum is σ = 1050413353080. Its totient is φ = 138403372896.

The previous prime is 415379129141. The next prime is 415379129153. The reversal of 415379129148 is 841921973514.

415379129148 is a `hidden beast` number, since 4 + 1 + 5 + 379 + 129 + 148 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 415379129094 and 415379129103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415379129141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2257615 + ... + 2434662.

Almost surely, 2415379129148 is an apocalyptic number.

It is an amenable number.

415379129148 is an abundant number, since it is smaller than the sum of its proper divisors (635034223932).

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

415379129148 is a wasteful number, since it uses less digits than its factorization.

415379129148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694746 (or 4694741 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 415379129148 in words is "four hundred fifteen billion, three hundred seventy-nine million, one hundred twenty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2459 4918 7377 9836 14754 22131 29508 44262 88524 4692277 9384554 14076831 18769108 28153662 42230493 56307324 84460986 168921972 11538309143 23076618286 34614927429 46153236572 69229854858 103844782287 138459709716 207689564574 415379129148