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242606560401 = 357989149953
BaseRepresentation
bin1110000111110001111…
…0100101010010010001
3212012012200001012200000
43201330132211102101
512433324234413101
6303241340320213
723346005511162
oct3417436452221
9765180035600
10242606560401
1193986095697
123b028543069
1319b5440076a
14ba5691b769
15649dbd5486
hex387c7a5491

242606560401 has 96 divisors (see below), whose sum is σ = 375036480000. Its totient is φ = 156671843328.

The previous prime is 242606560393. The next prime is 242606560411. The reversal of 242606560401 is 104065606242.

242606560401 is a `hidden beast` number, since 2 + 4 + 2 + 606 + 5 + 6 + 0 + 40 + 1 = 666.

242606560401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242606560401 - 23 = 242606560393 is a prime.

It is a super-2 number, since 2×2426065604012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242606560411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254570941 + ... + 254571893.

It is an arithmetic number, because the mean of its divisors is an integer number (3906630000).

Almost surely, 2242606560401 is an apocalyptic number.

It is an amenable number.

242606560401 is a deficient number, since it is larger than the sum of its proper divisors (132429919599).

242606560401 is an equidigital number, since it uses as much as digits as its factorization.

242606560401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 242606560401 in words is "two hundred forty-two billion, six hundred six million, five hundred sixty thousand, four hundred one".

Divisors: 1 3 9 27 79 81 89 149 237 243 267 447 711 801 953 1341 2133 2403 2859 4023 6399 7031 7209 8577 11771 12069 13261 19197 21093 21627 25731 35313 36207 39783 63279 75287 77193 84817 105939 119349 141997 189837 225861 231579 254451 317817 358047 425991 569511 677583 763353 953451 1047619 1074141 1277973 1708533 2032749 2290059 2860353 3142857 3222423 3833919 6098247 6700543 6870177 9428571 11217763 11501757 12637733 18294741 20101629 20610531 28285713 33653289 34505271 37913199 60304887 84857139 100959867 113739597 180914661 254571417 302879601 341218791 542743983 908638803 998380907 1023656373 1628231949 2725916409 2995142721 3070969119 8985428163 26956284489 80868853467 242606560401