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14240431242 = 232171031313449
BaseRepresentation
bin11010100001100101…
…11011110010001010
31100202102212212020100
431100302323302022
5213131022244432
610313021510230
71012614445152
oct152062736212
940672785210
1014240431242
116048396844
122915112376
13145c38109b
149913c1762
155852c707c
hex350cbbc8a

14240431242 has 96 divisors (see below), whose sum is σ = 33247843200. Its totient is φ = 4389166080.

The previous prime is 14240431213. The next prime is 14240431291. The reversal of 14240431242 is 24213404241.

14240431242 is a `hidden beast` number, since 14 + 2 + 404 + 3 + 1 + 242 = 666.

14240431242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4127134 + ... + 4130582.

It is an arithmetic number, because the mean of its divisors is an integer number (346331700).

Almost surely, 214240431242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240431242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623921600).

14240431242 is an abundant number, since it is smaller than the sum of its proper divisors (19007411958).

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

14240431242 is a wasteful number, since it uses less digits than its factorization.

14240431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14240431242 its reverse (24213404241), we get a palindrome (38453835483).

The spelling of 14240431242 in words is "fourteen billion, two hundred forty million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 131 153 206 262 306 309 393 618 786 927 1179 1751 1854 2227 2358 3449 3502 4454 5253 6681 6898 10347 10506 13362 13493 15759 20043 20694 26986 31041 31518 40086 40479 58633 62082 80958 117266 121437 175899 229381 242874 351798 355247 451819 458762 527697 688143 710494 903638 1055394 1065741 1355457 1376286 2064429 2131482 2710914 3197223 4066371 4128858 6039199 6394446 7680923 8132742 12078398 15361846 18117597 23042769 36235194 46085538 46537357 54352791 69128307 93074714 108705582 138256614 139612071 279224142 418836213 791135069 837672426 1582270138 2373405207 4746810414 7120215621 14240431242