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242633821239 = 3229416725051
BaseRepresentation
bin1110000111111000011…
…0100100110000110111
3212012021120100012111200
43201332012210300313
512433403224234424
6303244152503543
723346456310635
oct3417606446067
9765246305450
10242633821239
119399a515107
123b0356aabb3
1319b59c56a34
14ba5a3b6355
1564a12bc8c9
hex387e1a4c37

242633821239 has 72 divisors (see below), whose sum is σ = 377099770320. Its totient is φ = 150064992000.

The previous prime is 242633821217. The next prime is 242633821249. The reversal of 242633821239 is 932128336242.

242633821239 is a `hidden beast` number, since 2 + 4 + 2 + 633 + 8 + 2 + 1 + 2 + 3 + 9 = 666.

It is not a de Polignac number, because 242633821239 - 25 = 242633821207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242633821194 and 242633821203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242633821249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48034264 + ... + 48039314.

It is an arithmetic number, because the mean of its divisors is an integer number (5237496810).

Almost surely, 2242633821239 is an apocalyptic number.

242633821239 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

242633821239 is a deficient number, since it is larger than the sum of its proper divisors (134465949081).

242633821239 is a wasteful number, since it uses less digits than its factorization.

242633821239 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5191 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 242633821239 in words is "two hundred forty-two billion, six hundred thirty-three million, eight hundred twenty-one thousand, two hundred thirty-nine".

Divisors: 1 3 9 29 41 67 87 123 201 261 369 603 1189 1943 2747 3567 4489 5051 5829 8241 10701 13467 15153 17487 24723 40401 45459 79663 130181 146479 184049 207091 238989 338417 390543 439437 552147 621273 716967 1015251 1171629 1318311 1656441 1863819 3045753 5337421 6005639 9814093 13875097 16012263 18016917 22673939 29442279 41625291 48036789 54050751 68021817 88326837 124875873 204065451 402377813 657544231 929631499 1207133439 1972632693 2788894497 3621400317 5917898079 8366683491 26959313471 80877940413 242633821239