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242542114164 = 223275571727951
BaseRepresentation
bin1110000111100010100…
…0101111010101110100
3212012001011210000001100
43201320220233111310
512433211240123124
6303231115130100
723344263645240
oct3417050572564
9765034700040
10242542114164
1193952778239
123b00aa43930
1319b43c57aac
14ba4c143420
1564982051c9
hex3878a2f574

242542114164 has 72 divisors (see below), whose sum is σ = 701935573248. Its totient is φ = 69173294400.

The previous prime is 242542114127. The next prime is 242542114181. The reversal of 242542114164 is 461411245242.

242542114164 is a `hidden beast` number, since 2 + 4 + 2 + 542 + 11 + 41 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723612 + ... + 1004339.

It is an arithmetic number, because the mean of its divisors is an integer number (9749105184).

Almost surely, 2242542114164 is an apocalyptic number.

It is an amenable number.

242542114164 is an abundant number, since it is smaller than the sum of its proper divisors (459393459084).

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

242542114164 is a wasteful number, since it uses less digits than its factorization.

242542114164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728525 (or 1728520 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 242542114164 in words is "two hundred forty-two billion, five hundred forty-two million, one hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557 1114 1671 2228 3342 3899 5013 6684 7798 10026 11697 15596 20052 23394 35091 46788 70182 140364 1727951 3455902 5183853 6911804 10367706 12095657 15551559 20735412 24191314 31103118 36286971 48382628 62206236 72573942 108860913 145147884 217721826 435443652 962468707 1924937414 2887406121 3849874828 5774812242 6737280949 8662218363 11549624484 13474561898 17324436726 20211842847 26949123796 34648873452 40423685694 60635528541 80847371388 121271057082 242542114164