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14224210013304 = 23324110694507483
BaseRepresentation
bin1100111011111101010011…
…1111000010110001111000
31212100211011122121202001100
43032333110333002301320
53331022140230411204
650130302321451400
72665444120125534
oct316772477026170
955324148552040
1014224210013304
1145944a9801145
1217188b71a0b60
137c244cc21385
14372653a16bc4
1519a00e9e9a39
hexcefd4fc2c78

14224210013304 has 96 divisors (see below), whose sum is σ = 39500434537200. Its totient is φ = 4621431144960.

The previous prime is 14224210013267. The next prime is 14224210013323. The reversal of 14224210013304 is 40331001242241.

14224210013304 is a `hidden beast` number, since 1 + 4 + 2 + 242 + 100 + 13 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901947 + ... + 5409429.

Almost surely, 214224210013304 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 14224210013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750217268600).

14224210013304 is an abundant number, since it is smaller than the sum of its proper divisors (25276224523896).

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

14224210013304 is a wasteful number, since it uses less digits than its factorization.

14224210013304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508605 (or 4508598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14224210013304 its reverse (40331001242241), we get a palindrome (54555211255545).

The spelling of 14224210013304 in words is "fourteen trillion, two hundred twenty-four billion, two hundred ten million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1069 1476 2138 2952 3207 4276 6414 8552 9621 12828 19242 25656 38484 43829 76968 87658 131487 175316 262974 350632 394461 525948 788922 1051896 1577844 3155688 4507483 9014966 13522449 18029932 27044898 36059864 40567347 54089796 81134694 108179592 162269388 184806803 324538776 369613606 554420409 739227212 1108840818 1478454424 1663261227 2217681636 3326522454 4435363272 4818499327 6653044908 9636998654 13306089816 14455497981 19273997308 28910995962 38547994616 43366493943 57821991924 86732987886 115643983848 173465975772 197558472407 346931951544 395116944814 592675417221 790233889628 1185350834442 1580467779256 1778026251663 2370701668884 3556052503326 4741403337768 7112105006652 14224210013304