Search a number
-
+
643360571327142 = 2322343136607264553
BaseRepresentation
bin1001001001001000100000111…
…0010100010000001010100110
310010100221200002101122201110200
42102102020032110100022212
51133311304422224432032
610200151433303131330
7252341160466310064
oct22222101624201246
93110850071581420
10643360571327142
11176aa3760158639
12601a7709743b46
13217ca845659a56
14b4c2b64077034
154e5a44179747c
hex249220e5102a6

643360571327142 has 96 divisors (see below), whose sum is σ = 1488397701593088. Its totient is φ = 200356780998528.

The previous prime is 643360571327141. The next prime is 643360571327153. The reversal of 643360571327142 is 241723175063346.

643360571327142 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 6 + 0 + 571 + 3 + 27 + 1 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643360571327141) 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 47 ways as a sum of consecutive naturals, for example, 2431745538 + ... + 2432010090.

It is an arithmetic number, because the mean of its divisors is an integer number (15504142724928).

Almost surely, 2643360571327142 is an apocalyptic number.

643360571327142 is an abundant number, since it is smaller than the sum of its proper divisors (845037130265946).

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

643360571327142 is a wasteful number, since it uses less digits than its factorization.

643360571327142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401234 (or 401231 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 643360571327142 in words is "six hundred forty-three trillion, three hundred sixty billion, five hundred seventy-one million, three hundred twenty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1978 2967 5934 8901 17802 136607 264553 273214 409821 529106 793659 819642 1229463 1587318 2380977 2458926 3141961 4761954 5874101 6084719 6283922 9425883 11375779 11748202 12169438 17622303 18254157 18851766 22751558 28277649 34127337 35244606 36508314 52866909 54762471 56555298 68254674 102382011 105733818 109524942 135104323 204764022 261642917 270208646 405312969 523285834 784928751 810625938 1215938907 1569857502 2354786253 2431877814 4709572506 36139791671 72279583342 108419375013 216838750026 325258125039 650516250078 831215208433 1554011041853 1662430416866 2493645625299 3108022083706 4662033125559 4987291250598 7480936875897 9324066251118 13986099376677 14961873751794 27972198753354 35742253962619 71484507925238 107226761887857 214453523775714 321680285663571 643360571327142