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443136142364552 = 237131163673777689
BaseRepresentation
bin110010011000001111010110…
…0010110100100111110001000
32011010000101211200100002122122
41210300132230112210332020
5431040320304421131202
64210245533342110412
7162224346465165050
oct14460365426447610
92133011750302578
10443136142364552
11119218a89913a0a
124184a90557b408
1316035735c40370
147b5dc91b92560
153636ec47ac9a2
hex19307ac5a4f88

443136142364552 has 128 divisors (see below), whose sum is σ = 1023666262214400. Its totient is φ = 175127615889408.

The previous prime is 443136142364533. The next prime is 443136142364609. The reversal of 443136142364552 is 255463241631344.

It is a junction number, because it is equal to n+sod(n) for n = 443136142364494 and 443136142364503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5703936524 + ... + 5704014212.

It is an arithmetic number, because the mean of its divisors is an integer number (7997392673550).

Almost surely, 2443136142364552 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 443136142364552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511833131107200).

443136142364552 is an abundant number, since it is smaller than the sum of its proper divisors (580530119849848).

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

443136142364552 is a wasteful number, since it uses less digits than its factorization.

443136142364552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85615 (or 85611 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 53.

Adding to 443136142364552 its reverse (255463241631344), we get a palindrome (698599383995896).

The spelling of 443136142364552 in words is "four hundred forty-three trillion, one hundred thirty-six billion, one hundred forty-two million, three hundred sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1163 2326 4652 6737 8141 9304 13474 15119 16282 26948 30238 32564 47159 53896 60476 65128 77689 87581 94318 105833 120952 155378 175162 188636 211666 310756 350324 377272 423332 543823 613067 621512 700648 846664 1009957 1087646 1226134 2019914 2175292 2452268 4039828 4350584 4904536 7069699 7835131 8079656 14139398 15670262 28278796 31340524 54845917 56557592 62681048 90352307 101856703 109691834 180704614 203713406 219383668 361409228 407426812 438767336 523390793 632466149 712996921 722818456 814853624 1046781586 1174579991 1264932298 1425993842 2093563172 2349159982 2529864596 2851987684 3663735551 4187126344 4698319964 5059729192 5703975368 6804080309 7327471102 8222059937 9396639928 13608160618 14654942204 16444119874 27216321236 29309884408 32888239748 47628562163 54432642472 65776479496 95257124326 190514248652 381028497304 608703492259 1217406984518 2434813969036 4260924445813 4869627938072 7913145399367 8521848891626 15826290798734 17043697783252 31652581597468 34087395566504 55392017795569 63305163194936 110784035591138 221568071182276 443136142364552