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14241104652 = 223611071731051
BaseRepresentation
bin11010100001101011…
…00000001100001100
31100202111011001222110
431100311200030030
5213131210322102
610313044144020
71012623251355
oct152065401414
940674131873
1014241104652
116048806785
122915398010
13145c558758
14991518d2c
155853ab86c
hex350d6030c

14241104652 has 96 divisors (see below), whose sum is σ = 34319303424. Its totient is φ = 4594464000.

The previous prime is 14241104639. The next prime is 14241104659. The reversal of 14241104652 is 25640114241.

It is a super-2 number, since 2×142411046522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14241104659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13549527 + ... + 13550577.

It is an arithmetic number, because the mean of its divisors is an integer number (357492744).

Almost surely, 214241104652 is an apocalyptic number.

14241104652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14241104652 is an abundant number, since it is smaller than the sum of its proper divisors (20078198772).

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

14241104652 is a wasteful number, since it uses less digits than its factorization.

14241104652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14241104652 its reverse (25640114241), we get a palindrome (39881218893).

The spelling of 14241104652 in words is "fourteen billion, two hundred forty-one million, one hundred four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 61 107 122 173 183 214 244 321 346 366 428 519 642 692 732 1038 1051 1284 2076 2102 3153 4204 6306 6527 10553 12612 13054 18511 19581 21106 26108 31659 37022 39162 42212 55533 63318 64111 74044 78324 111066 112457 126636 128222 181823 192333 222132 224914 256444 337371 363646 384666 449828 545469 674742 727292 769332 1090938 1129171 1349484 2181876 2258342 3387513 4516684 6775026 6859877 11091203 13550052 13719754 19455061 20579631 22182406 27439508 33273609 38910122 41159262 44364812 58365183 66547218 77820244 82318524 116730366 133094436 233460732 1186758721 2373517442 3560276163 4747034884 7120552326 14241104652