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24142592420 = 2259419128159
BaseRepresentation
bin10110011111000000…
…101011100110100100
32022022112112202201122
4112133000223212210
5343421000424140
615031351313112
71513163435552
oct263700534644
968275482648
1024142592420
11a269956021
12481937b798
132379a0365b
141250556bd2
159647aaab5
hex59f02b9a4

24142592420 has 24 divisors (see below), whose sum is σ = 50705222400. Its totient is φ = 9655936352.

The previous prime is 24142592417. The next prime is 24142592471. The reversal of 24142592420 is 2429524142.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124301 + ... + 252459.

It is an arithmetic number, because the mean of its divisors is an integer number (2112717600).

Almost surely, 224142592420 is an apocalyptic number.

24142592420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24142592420 is an abundant number, since it is smaller than the sum of its proper divisors (26562629980).

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

24142592420 is a wasteful number, since it uses less digits than its factorization.

24142592420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137587 (or 137585 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 24142592420 in words is "twenty-four billion, one hundred forty-two million, five hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 9419 18838 37676 47095 94190 128159 188380 256318 512636 640795 1281590 2563180 1207129621 2414259242 4828518484 6035648105 12071296210 24142592420