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13220444504244 = 22317353628729201
BaseRepresentation
bin1100000001100001111111…
…1001100000000010110100
31201210212021111201122012210
43000120133321200002310
53213100432243113434
644041215515213420
72533100640102135
oct300303771400264
951725244648183
1013220444504244
1142378392a259a
121596264147270
1374b8b47a6583
14339c31459c8c
1517dd628cbee9
hexc061fe600b4

13220444504244 has 96 divisors (see below), whose sum is σ = 32761134153216. Its totient is φ = 4135041433600.

The previous prime is 13220444504233. The next prime is 13220444504251. The reversal of 13220444504244 is 44240544402231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452724844 + ... + 452754044.

It is an arithmetic number, because the mean of its divisors is an integer number (341261814096).

Almost surely, 213220444504244 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 13220444504244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380567076608).

13220444504244 is an abundant number, since it is smaller than the sum of its proper divisors (19540689648972).

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

13220444504244 is a wasteful number, since it uses less digits than its factorization.

13220444504244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35865 (or 35863 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 39.

Adding to 13220444504244 its reverse (44240544402231), we get a palindrome (57460988906475).

The spelling of 13220444504244 in words is "thirteen trillion, two hundred twenty billion, four hundred forty-four million, five hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 353 706 1059 1412 2118 4236 6001 6287 12002 12574 18003 18861 24004 25148 29201 36006 37722 58402 72012 75444 87603 106879 116804 175206 213758 320637 350412 427516 496417 641274 992834 1282548 1489251 1985668 2219311 2978502 4438622 5957004 6657933 8877244 10307953 13315866 20615906 26631732 30923859 37728287 41231812 61847718 75456574 113184861 123695436 150913148 175235201 183586687 226369722 350470402 367173374 452739444 525705603 550760061 700940804 734346748 1051411206 1101520122 2102822412 2203040244 3120973679 6241947358 9362921037 12483894716 18725842074 37451684148 64806100511 129612201022 194418301533 259224402044 388836603066 777673206132 1101703708687 2203407417374 3305111126061 4406814834748 6610222252122 13220444504244