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13960074408 = 2337738631319
BaseRepresentation
bin11010000000001010…
…11101010010101000
31100000220100020221220
431000011131102220
5212042234340113
610225124502040
71002641450250
oct150005352250
940026306856
1013960074408
115a14109585
12285724a920
131416270177
14966082960
1556a898523
hex34015d4a8

13960074408 has 128 divisors (see below), whose sum is σ = 40509849600. Its totient is φ = 3926416896.

The previous prime is 13960074397. The next prime is 13960074449. The reversal of 13960074408 is 80447006931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13960074408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10583173 + ... + 10584491.

It is an arithmetic number, because the mean of its divisors is an integer number (316483200).

Almost surely, 213960074408 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 13960074408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254924800).

13960074408 is an abundant number, since it is smaller than the sum of its proper divisors (26549775192).

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

13960074408 is a wasteful number, since it uses less digits than its factorization.

13960074408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 13960074408 in words is "thirteen billion, nine hundred sixty million, seventy-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 863 876 1022 1319 1533 1726 1752 2044 2589 2638 3066 3452 3957 4088 5178 5276 6041 6132 6904 7914 9233 10356 10552 12082 12264 15828 18123 18466 20712 24164 27699 31656 36246 36932 48328 55398 62999 72492 73864 96287 110796 125998 144984 188997 192574 221592 251996 288861 377994 385148 440993 503992 577722 674009 755988 770296 881986 1138297 1155444 1322979 1348018 1511976 1763972 2022027 2276594 2310888 2645958 2696036 3414891 3527944 4044054 4553188 5291916 5392072 6829782 7968079 8088108 9106376 10583832 13659564 15936158 16176216 23904237 27319128 31872316 47808474 63744632 83095681 95616948 166191362 191233896 249287043 332382724 498574086 581669767 664765448 997148172 1163339534 1745009301 1994296344 2326679068 3490018602 4653358136 6980037204 13960074408