Search a number
-
+
314324504551314 = 232598531476723497
BaseRepresentation
bin100011101111000000110000…
…0011100000001111110010010
31112012221010111011102202100100
41013132001200130001332102
5312144343041131120224
63032302403422033230
7123131124146254545
oct10736014034017622
91465833434382310
10314324504551314
119117630143a504
122b306240718816
131065089ab7056a
14578955c66085c
15265147d373ac9
hex11de060701f92

314324504551314 has 96 divisors (see below), whose sum is σ = 693467817719040. Its totient is φ = 102866896256256.

The previous prime is 314324504551307. The next prime is 314324504551333. The reversal of 314324504551314 is 413155405423413.

314324504551314 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 4 + 504 + 5 + 5 + 131 + 4 = 666.

It is a super-2 number, since 2×3143245045513142 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314324504551314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13377206814 + ... + 13377230310.

It is an arithmetic number, because the mean of its divisors is an integer number (7223623101240).

Almost surely, 2314324504551314 is an apocalyptic number.

314324504551314 is an abundant number, since it is smaller than the sum of its proper divisors (379143313167726).

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

314324504551314 is a wasteful number, since it uses less digits than its factorization.

314324504551314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39184 (or 39181 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 314324504551314 its reverse (413155405423413), we get a palindrome (727479909974727).

The spelling of 314324504551314 in words is "three hundred fourteen trillion, three hundred twenty-four billion, five hundred four million, five hundred fifty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 853 1062 1706 2559 5118 7677 14767 15354 23497 29534 44301 46994 50327 70491 88602 100654 132903 140982 150981 211473 265806 301962 422946 452943 871253 905886 1386323 1742506 2613759 2772646 4158969 5227518 7841277 8317938 12476907 12596251 15682554 20042941 24953814 25192502 37788753 40085882 60128823 75577506 113366259 120257646 180386469 226732518 346980199 360772938 693960398 743178809 1040940597 1182533519 1486357618 2081881194 2229536427 2365067038 3122821791 3547600557 4459072854 6245643582 6688609281 7095201114 10642801671 13377218562 20471831741 21285603342 40943663482 61415495223 122830990446 184246485669 295974109747 368492971338 591948219494 887922329241 1775844658482 2663766987723 5327533975446 17462472475073 34924944950146 52387417425219 104774834850438 157162252275657 314324504551314