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14245352334 = 23317192928163
BaseRepresentation
bin11010100010001011…
…01101001110001110
31100202210010212201000
431101011231032032
5213133302233314
610313315201130
71013004332313
oct152105551616
940683125630
1014245352334
116050148064
1229168a61a6
1314603b4c85
14991d02d0a
1558594a209
hex35116d38e

14245352334 has 128 divisors (see below), whose sum is σ = 36500544000. Its totient is φ = 4087770624.

The previous prime is 14245352323. The next prime is 14245352347. The reversal of 14245352334 is 43325354241.

14245352334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 491737 + ... + 519899.

It is an arithmetic number, because the mean of its divisors is an integer number (285160500).

Almost surely, 214245352334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14245352334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250272000).

14245352334 is an abundant number, since it is smaller than the sum of its proper divisors (22255191666).

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

14245352334 is a wasteful number, since it uses less digits than its factorization.

14245352334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28239 (or 28233 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 14245352334 in words is "fourteen billion, two hundred forty-five million, three hundred fifty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 29 34 38 51 54 57 58 87 102 114 153 171 174 261 306 323 342 459 493 513 522 551 646 783 918 969 986 1026 1102 1479 1566 1653 1938 2907 2958 3306 4437 4959 5814 8721 8874 9367 9918 13311 14877 17442 18734 26622 28101 28163 29754 56202 56326 84303 84489 168606 168978 252909 253467 478771 505818 506934 535097 760401 816727 957542 1070194 1436313 1520802 1605291 1633454 2450181 2872626 3210582 4308939 4815873 4900362 7350543 8617878 9096649 9631746 12926817 13884359 14447619 14701086 15517813 18193298 22051629 25853634 27289947 27768718 28895238 31035626 41653077 44103258 46553439 54579894 81869841 83306154 93106878 124959231 139660317 163739682 245609523 249918462 263802821 279320634 374877693 418980951 491219046 527605642 749755386 791408463 837961902 1582816926 2374225389 4748450778 7122676167 14245352334