Search a number
-
+
14260339368 = 23321199118169
BaseRepresentation
bin11010100011111101…
…11000001010101000
31100210211100022001100
431101332320022220
5213201121324433
610315012321400
71013245612302
oct152176701250
940724308040
1014260339368
116058654040
12291b913260
131463531742
14993cc4972
15586e0ab13
hex351fb82a8

14260339368 has 96 divisors (see below), whose sum is σ = 42177657600. Its totient is φ = 4316716800.

The previous prime is 14260339361. The next prime is 14260339369. The reversal of 14260339368 is 86393306241.

14260339368 is a `hidden beast` number, since 1 + 4 + 2 + 603 + 3 + 9 + 36 + 8 = 666.

14260339368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14260339361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 775788 + ... + 793956.

It is an arithmetic number, because the mean of its divisors is an integer number (439350600).

Almost surely, 214260339368 is an apocalyptic number.

14260339368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14260339368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088828800).

14260339368 is an abundant number, since it is smaller than the sum of its proper divisors (27917318232).

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

14260339368 is a wasteful number, since it uses less digits than its factorization.

14260339368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19183 (or 19176 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 14260339368 in words is "fourteen billion, two hundred sixty million, three hundred thirty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 991 1982 2973 3964 5946 7928 8919 10901 11892 17838 18169 21802 23784 32703 35676 36338 43604 54507 65406 71352 72676 87208 98109 109014 130812 145352 163521 196218 199859 218028 261624 327042 392436 399718 436056 599577 654084 784872 799436 1199154 1308168 1598872 1798731 2398308 3597462 4796616 7194924 14389848 18005479 36010958 54016437 72021916 108032874 144043832 162049311 198060269 216065748 324098622 396120538 432131496 594180807 648197244 792241076 1188361614 1296394488 1584482152 1782542421 2376723228 3565084842 4753446456 7130169684 14260339368