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242021324404223 = 72137691456133931
BaseRepresentation
bin110111000001110111111011…
…000100011011010111111111
31011201221000100020000220010222
4313001313323010123113333
5223210234133021413343
62214423021142451555
7101656315015335200
oct6701677304332777
91151830306026128
10242021324404223
117012a738163771
122318942ba33bbb
13a507688c96570
1443a9c74b095a7
151cea7e3e15a68
hexdc1dfb11b5ff

242021324404223 has 48 divisors (see below), whose sum is σ = 303615613556640. Its totient is φ = 191221619097600.

The previous prime is 242021324404201. The next prime is 242021324404229. The reversal of 242021324404223 is 322404423120242.

It is not a de Polignac number, because 242021324404223 - 222 = 242021320209919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242021324404229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7132732568 + ... + 7132766498.

It is an arithmetic number, because the mean of its divisors is an integer number (6325325282430).

Almost surely, 2242021324404223 is an apocalyptic number.

242021324404223 is a deficient number, since it is larger than the sum of its proper divisors (61594289152417).

242021324404223 is a wasteful number, since it uses less digits than its factorization.

242021324404223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49288 (or 49281 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 242021324404223 its reverse (322404423120242), we get a palindrome (564425747524465).

The spelling of 242021324404223 in words is "two hundred forty-two trillion, twenty-one billion, three hundred twenty-four million, four hundred four thousand, two hundred twenty-three".

Divisors: 1 7 13 49 91 637 769 5383 9997 14561 33931 37681 69979 101927 189293 237517 441103 489853 713489 1325051 1662619 3087721 9275357 11197409 21614047 26092939 78381863 145566317 182650573 339208207 494069291 548673041 1018964219 1278554011 2374457449 3458485037 6422900783 7132749533 16621202143 24209395259 44960305481 314722138367 379939284779 2659574993453 4939210702127 18617024954171 34574474914889 242021324404223