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242151403513401 = 32232399075396491
BaseRepresentation
bin110111000011110001000100…
…011000110110011000111001
31011202101110002122211022011100
4313003301010120312120321
5223214402033244412101
62215002452525322013
7102001601342455434
oct6703610430663071
91152343078738140
10242151403513401
117017a919455788
12231aa693106309
13a516a19378b55
1443b22948c881b
151cedda8ba3e86
hexdc3c44636639

242151403513401 has 48 divisors (see below), whose sum is σ = 366913103431680. Its totient is φ = 153599733635040.

The previous prime is 242151403513361. The next prime is 242151403513403. The reversal of 242151403513401 is 104315304151242.

242151403513401 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 514 + 0 + 3 + 5 + 134 + 0 + 1 = 666.

It is not a de Polignac number, because 242151403513401 - 246 = 171782659335737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242151403513403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42173766 + ... + 47570256.

It is an arithmetic number, because the mean of its divisors is an integer number (7644022988160).

Almost surely, 2242151403513401 is an apocalyptic number.

It is an amenable number.

242151403513401 is a deficient number, since it is larger than the sum of its proper divisors (124761699918279).

242151403513401 is a wasteful number, since it uses less digits than its factorization.

242151403513401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397666 (or 5397663 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 242151403513401 its reverse (104315304151242), we get a palindrome (346466707664643).

The spelling of 242151403513401 in words is "two hundred forty-two trillion, one hundred fifty-one billion, four hundred three million, five hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 23 69 207 239 717 907 2151 2721 5497 8163 16491 20861 49473 62583 187749 216773 650319 1950957 4985779 5396491 14957337 16189473 44872011 48568419 124119293 372357879 1117073637 1289761349 3869284047 4894617337 11607852141 14683852011 29664511027 44051556033 88993533081 112576198751 266980599243 337728596253 1013185788759 1169813543543 3509440630629 10528321891887 26905711501489 80717134504467 242151403513401