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13220402404014 = 2341329435034077
BaseRepresentation
bin1100000001100001110101…
…1000111001101010101110
31201210212011120111201120000
43000120131120321222232
53213100341003412024
644041211413005130
72533066616206011
oct300303530715256
951725146451500
1013220402404014
114237817558013
1215962520237a6
1374b8a8b55ab0
14339c29a1b378
1517dd5dd62cc9
hexc061d639aae

13220402404014 has 160 divisors (see below), whose sum is σ = 33769803402720. Its totient is φ = 3836207547648.

The previous prime is 13220402404009. The next prime is 13220402404061. The reversal of 13220402404014 is 41040420402231.

13220402404014 is a `hidden beast` number, since 1 + 32 + 204 + 0 + 24 + 0 + 401 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109144 + ... + 5143220.

It is an arithmetic number, because the mean of its divisors is an integer number (211061271267).

Almost surely, 213220402404014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220402404014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884901701360).

13220402404014 is an abundant number, since it is smaller than the sum of its proper divisors (20549400998706).

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

13220402404014 is a wasteful number, since it uses less digits than its factorization.

13220402404014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034176 (or 5034167 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13220402404014 its reverse (41040420402231), we get a palindrome (54260822806245).

The spelling of 13220402404014 in words is "thirteen trillion, two hundred twenty billion, four hundred two million, four hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 43 54 58 78 81 86 87 117 129 162 174 234 258 261 351 377 387 522 559 702 754 774 783 1053 1118 1131 1161 1247 1566 1677 2106 2262 2322 2349 2494 3354 3393 3483 3741 4698 5031 6786 6966 7482 10062 10179 11223 15093 16211 20358 22446 30186 30537 32422 33669 45279 48633 61074 67338 90558 97266 101007 145899 202014 291798 437697 875394 1313091 2626182 5034077 10068154 15102231 30204462 45306693 65443001 90613386 130886002 135920079 145988233 196329003 216465311 271840158 291976466 392658006 407760237 432930622 437964699 588987009 649395933 815520474 875929398 1177974018 1298791866 1313894097 1766961027 1897847029 1948187799 2627788194 2814049043 3533922054 3795694058 3896375598 3941682291 5300883081 5628098086 5693541087 5844563397 6277494019 7883364582 8442147129 10601766162 11387082174 11689126794 11825046873 12554988038 16884294258 17080623261 17533690191 18832482057 23650093746 25326441387 34161246522 35067380382 37664964114 50652882774 51241869783 56497446171 75979324161 81607422247 102483739566 112994892342 151958648322 153725609349 163214844494 169492338513 227937972483 244822266741 307451218698 338984677026 455875944966 489644533482 508477015539 734466800223 1016954031078 1468933600446 2203400400669 4406800801338 6610201202007 13220402404014