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242102424024 = 23327014796767
BaseRepresentation
bin1110000101111001101…
…1011101000111011000
3212010220112102102120100
43201132123131013120
512431311210032044
6303115331055400
723330344435626
oct3413633350730
9763815372510
10242102424024
119374756355a
123ab07741560
1319aa3b2aa06
14ba099aa516
15646e801869
hex385e6dd1d8

242102424024 has 48 divisors (see below), whose sum is σ = 656629571520. Its totient is φ = 80585668800.

The previous prime is 242102424019. The next prime is 242102424041. The reversal of 242102424024 is 420424201242.

242102424024 is a `hidden beast` number, since 2 + 4 + 2 + 10 + 242 + 402 + 4 = 666.

242102424024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2421024240242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2347912 + ... + 2448855.

It is an arithmetic number, because the mean of its divisors is an integer number (13679782740).

Almost surely, 2242102424024 is an apocalyptic number.

242102424024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242102424024 is an abundant number, since it is smaller than the sum of its proper divisors (414527147496).

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

242102424024 is a wasteful number, since it uses less digits than its factorization.

242102424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797480 (or 4797473 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 242102424024 its reverse (420424201242), we get a palindrome (662526625266).

The spelling of 242102424024 in words is "two hundred forty-two billion, one hundred two million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 701 1402 2103 2804 4206 5608 6309 8412 12618 16824 25236 50472 4796767 9593534 14390301 19187068 28780602 38374136 43170903 57561204 86341806 115122408 172683612 345367224 3362533667 6725067334 10087601001 13450134668 20175202002 26900269336 30262803003 40350404004 60525606006 80700808008 121051212012 242102424024