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2434130505342 = 232314362241049
BaseRepresentation
bin100011011010111101011…
…110111110111001111110
322121200220201222112110100
4203122331132332321332
5304340044402132332
65102120224221530
7340601010625404
oct43327536767176
98550821875410
102434130505342
11859344237a98
1233390146a8a6
131486cac209b3
1485b538a3474
15434b5e5367c
hex236bd7bee7e

2434130505342 has 24 divisors (see below), whose sum is σ = 5444076830400. Its totient is φ = 785203388640.

The previous prime is 2434130505329. The next prime is 2434130505377. The reversal of 2434130505342 is 2435050314342.

2434130505342 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 1 + 305 + 0 + 5 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2434130505297 and 2434130505306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2181119967 + ... + 2181121082.

It is an arithmetic number, because the mean of its divisors is an integer number (226836534600).

Almost surely, 22434130505342 is an apocalyptic number.

2434130505342 is an abundant number, since it is smaller than the sum of its proper divisors (3009946325058).

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

2434130505342 is a wasteful number, since it uses less digits than its factorization.

2434130505342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362241088 (or 4362241085 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 2434130505342 its reverse (2435050314342), we get a palindrome (4869180819684).

It can be divided in two parts, 2434 and 130505342, that added together give a square (130507776 = 114242).

The spelling of 2434130505342 in words is "two trillion, four hundred thirty-four billion, one hundred thirty million, five hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 4362241049 8724482098 13086723147 26173446294 39260169441 78520338882 135229472519 270458945038 405688417557 811376835114 1217065252671 2434130505342