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242075816268 = 2231113141069823
BaseRepresentation
bin1110000101110011010…
…1111101000101001100
3212010211200100121120220
43201130311331011030
512431232402110033
6303112540511340
723326602326166
oct3413465750514
9763750317526
10242075816268
119373353a780
123aaba84b550
1319a9b472a90
14ba06241936
15646c2e7bb3
hex385cd7d14c

242075816268 has 48 divisors (see below), whose sum is σ = 663592452096. Its totient is φ = 67713514560.

The previous prime is 242075816263. The next prime is 242075816327. The reversal of 242075816268 is 862618570242.

242075816268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242075816268.

It is not an unprimeable number, because it can be changed into a prime (242075816263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70533196 + ... + 70536627.

It is an arithmetic number, because the mean of its divisors is an integer number (13824842752).

Almost surely, 2242075816268 is an apocalyptic number.

It is an amenable number.

242075816268 is an abundant number, since it is smaller than the sum of its proper divisors (421516635828).

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

242075816268 is a wasteful number, since it uses less digits than its factorization.

242075816268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141069854 (or 141069852 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 242075816268 in words is "two hundred forty-two billion, seventy-five million, eight hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 141069823 282139646 423209469 564279292 846418938 1551768053 1692837876 1833907699 3103536106 3667815398 4655304159 5501723097 6207072212 7335630796 9310608318 11003446194 18621216636 20172984689 22006892388 40345969378 60518954067 80691938756 121037908134 242075816268