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242251134304 = 2537320295839
BaseRepresentation
bin1110000110011101001…
…0101111010101100000
3212011021220020200201111
43201213102233111200
512432112242244204
6303142202313104
723334131444404
oct3414722572540
9764256220644
10242251134304
11938134a4813
123ab494b8794
1319ac889786a
14ba2163b104
15647c8c8d04
hex38674af560

242251134304 has 24 divisors (see below), whose sum is σ = 478210582080. Its totient is φ = 120800827776.

The previous prime is 242251134283. The next prime is 242251134347. The reversal of 242251134304 is 403431152242.

242251134304 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422511343042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10135984 + ... + 10159855.

It is an arithmetic number, because the mean of its divisors is an integer number (19925440920).

Almost surely, 2242251134304 is an apocalyptic number.

It is an amenable number.

242251134304 is a deficient number, since it is larger than the sum of its proper divisors (235959447776).

242251134304 is a wasteful number, since it uses less digits than its factorization.

242251134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20296222 (or 20296214 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 242251134304 its reverse (403431152242), we get a palindrome (645682286546).

The spelling of 242251134304 in words is "two hundred forty-two billion, two hundred fifty-one million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 373 746 1492 2984 5968 11936 20295839 40591678 81183356 162366712 324733424 649466848 7570347947 15140695894 30281391788 60562783576 121125567152 242251134304