Search a number
-
+
14355604944 = 243364751361
BaseRepresentation
bin11010101111010100…
…10010010111010000
31101001110121021212000
431113222102113100
5213400013324234
610332254234000
71015513425432
oct152752222720
941043537760
1014355604944
1160a740151a
1229477b5900
13147a1a82c5
149a2802652
15590477899
hex357a925d0

14355604944 has 80 divisors (see below), whose sum is σ = 41270394240. Its totient is φ = 4777712640.

The previous prime is 14355604943. The next prime is 14355604957. The reversal of 14355604944 is 44940655341.

14355604944 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 560 + 49 + 44 = 666.

14355604944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14355604944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14355604943) 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 15 ways as a sum of consecutive naturals, for example, 253824 + ... + 305184.

It is an arithmetic number, because the mean of its divisors is an integer number (515879928).

Almost surely, 214355604944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14355604944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635197120).

14355604944 is an abundant number, since it is smaller than the sum of its proper divisors (26914789296).

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

14355604944 is a wasteful number, since it uses less digits than its factorization.

14355604944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52025 (or 52013 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 14355604944 in words is "fourteen billion, three hundred fifty-five million, six hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 647 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 17469 23292 31056 34938 46584 51361 69876 93168 102722 139752 154083 205444 279504 308166 410888 462249 616332 821776 924498 1232664 1386747 1848996 2465328 2773494 3697992 5546988 7395984 11093976 22187952 33230567 66461134 99691701 132922268 199383402 265844536 299075103 398766804 531689072 598150206 797533608 897225309 1196300412 1595067216 1794450618 2392600824 3588901236 4785201648 7177802472 14355604944