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242063707360242 = 231753157928357733
BaseRepresentation
bin110111000010011111011001…
…010010100100101111110010
31011202002001201222001010202210
4313002133121102210233302
5223211432433041011432
62214454310524352550
7101662345216454505
oct6702373122445762
91152061658033683
10242063707360242
1170146707242949
12231956999a5756
13a50b681947971
1443abd3597b13c
151ceb974c088cc
hexdc27d94a4bf2

242063707360242 has 64 divisors (see below), whose sum is σ = 522608082814080. Its totient is φ = 74461505823744.

The previous prime is 242063707360207. The next prime is 242063707360247.

It is a happy number.

242063707360242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242063707360191 and 242063707360200.

It is not an unprimeable number, because it can be changed into a prime (242063707360247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5642793 + ... + 22714940.

It is an arithmetic number, because the mean of its divisors is an integer number (8165751293970).

Almost surely, 2242063707360242 is an apocalyptic number.

242063707360242 is an abundant number, since it is smaller than the sum of its proper divisors (280544375453838).

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

242063707360242 is a wasteful number, since it uses less digits than its factorization.

242063707360242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28359387.

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 242063707360242 in words is "two hundred forty-two trillion, sixty-three billion, seven hundred seven million, three hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 34 51 53 102 106 159 318 901 1579 1802 2703 3158 4737 5406 9474 26843 53686 80529 83687 161058 167374 251061 502122 1422679 2845358 4268037 8536074 28357733 56715466 85073199 170146398 482081461 964162922 1446244383 1502959849 2892488766 3005919698 4508879547 9017759094 25550317433 44776860407 51100634866 76650952299 89553720814 134330581221 153301904598 268661162442 761206626919 1522413253838 2283619880757 2373173601571 4567239761514 4746347203142 7119520804713 14239041609426 40343951226707 80687902453414 121031853680121 242063707360242