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44414222201052 = 223112163397472691
BaseRepresentation
bin10100001100100111111011…
…11011111111000011011100
312211020221212111202202100120
422012103331323333003130
521310140311340413202
6234243340105354540
712232551554500644
oct1206237573770334
9184227774682316
1044414222201052
1113173a69613200
124b93935198a50
131ba232136b8c2
14ad79347b5524
155204b0e960bc
hex2864fdeff0dc

44414222201052 has 144 divisors (see below), whose sum is σ = 114898628482176. Its totient is φ = 13342563907200.

The previous prime is 44414222201051. The next prime is 44414222201113. The reversal of 44414222201052 is 25010222241444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414222201051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93724027 + ... + 94196717.

Almost surely, 244414222201052 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 44414222201052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57449314241088).

44414222201052 is an abundant number, since it is smaller than the sum of its proper divisors (70484406281124).

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

44414222201052 is a wasteful number, since it uses less digits than its factorization.

44414222201052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473280 (or 473267 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 44414222201052 its reverse (25010222241444), we get a palindrome (69424444442496).

The spelling of 44414222201052 in words is "forty-four trillion, four hundred fourteen billion, two hundred twenty-two million, two hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 163 242 326 363 397 484 489 652 726 794 978 1191 1452 1588 1793 1956 2382 3586 4367 4764 5379 7172 8734 10758 13101 17468 19723 21516 26202 39446 48037 52404 59169 64711 78892 96074 118338 129422 144111 192148 194133 236676 258844 288222 388266 472691 576444 711821 776532 945382 1418073 1423642 1890764 2135463 2836146 2847284 4270926 5199601 5672292 7830031 8541852 10399202 15598803 15660062 20798404 23490093 31197606 31320124 46980186 57195611 62395212 77048633 93960372 114391222 154097266 171586833 187658327 228782444 231145899 308194532 343173666 375316654 462291798 562974981 686347332 750633308 847534963 924583596 1125949962 1695069926 2064241597 2251899924 2542604889 3390139852 4128483194 5085209778 6192724791 8256966388 9322884593 10170419556 12385449582 18645769186 22706657567 24770899164 27968653779 30588307301 37291538372 45413315134 55937307558 61176614602 68119972701 90826630268 91764921903 111874615116 122353229204 136239945402 183529843806 272479890804 336471380311 367059687612 672942760622 1009414140933 1345885521244 2018828281866 3701185183421 4037656563732 7402370366842 11103555550263 14804740733684 22207111100526 44414222201052