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242104651614 = 232723314275779
BaseRepresentation
bin1110000101111010001…
…1111100111101011110
3212010220200121121020200
43201132203330331132
512431312242322424
6303115450524330
723330402404230
oct3413643747536
9763820547220
10242104651614
1193748845141
123ab084366a6
1319aa442a907
14ba09dca250
15646eae18c9
hex385e8fcf5e

242104651614 has 96 divisors (see below), whose sum is σ = 602596350720. Its totient is φ = 68815702656.

The previous prime is 242104651603. The next prime is 242104651639. The reversal of 242104651614 is 416156401242.

242104651614 is a `hidden beast` number, since 24 + 2 + 10 + 4 + 6 + 5 + 1 + 614 = 666.

It is a super-2 number, since 2×2421046516142 (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 47 ways as a sum of consecutive naturals, for example, 41890977 + ... + 41896755.

It is an arithmetic number, because the mean of its divisors is an integer number (6277045320).

Almost surely, 2242104651614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242104651614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301298175360).

242104651614 is an abundant number, since it is smaller than the sum of its proper divisors (360491699106).

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

242104651614 is a wasteful number, since it uses less digits than its factorization.

242104651614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 242104651614 in words is "two hundred forty-two billion, one hundred four million, six hundred fifty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 466 699 1398 1427 1631 2097 2854 3262 4194 4281 4893 5779 8562 9786 9989 11558 12843 14679 17337 19978 25686 29358 29967 34674 40453 52011 59934 80906 89901 104022 121359 179802 242718 332491 364077 664982 728154 997473 1346507 1994946 2327437 2693014 2992419 4039521 4654874 5984838 6982311 8079042 8246633 9425549 12118563 13964622 16493266 18851098 20946933 24237126 24739899 28276647 41893866 49479798 56553294 57726431 74219697 84829941 115452862 148439394 169659882 173179293 346358586 519537879 1039075758 1921465489 3842930978 5764396467 11528792934 13450258423 17293189401 26900516846 34586378802 40350775269 80701550538 121052325807 242104651614