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13960142664 = 2331347952001
BaseRepresentation
bin11010000000001011…
…01101111101001000
31100000220110201120220
431000011231331020
5212042244031124
610225130150040
71002642153246
oct150005557510
940026421526
1013960142664
115a14155896
122857282320
131416295260
1496609d796
1556a8ad879
hex34016df48

13960142664 has 64 divisors (see below), whose sum is σ = 38384720640. Its totient is φ = 4204032000.

The previous prime is 13960142561. The next prime is 13960142681. The reversal of 13960142664 is 46624106931.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461337 + ... + 490664.

It is an arithmetic number, because the mean of its divisors is an integer number (599761260).

Almost surely, 213960142664 is an apocalyptic number.

It is an amenable number.

13960142664 is an abundant number, since it is smaller than the sum of its proper divisors (24424577976).

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

13960142664 is a wasteful number, since it uses less digits than its factorization.

13960142664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952070 (or 952066 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13960142664 in words is "thirteen billion, nine hundred sixty million, one hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3666 4888 7332 14664 952001 1904002 2856003 3808004 5712006 7616008 11424012 12376013 22848024 24752026 37128039 44744047 49504052 74256078 89488094 99008104 134232141 148512156 178976188 268464282 297024312 357952376 536928564 581672611 1073857128 1163345222 1745017833 2326690444 3490035666 4653380888 6980071332 13960142664