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14085126660 = 223511163130927
BaseRepresentation
bin11010001111000100…
…11111101000000100
31100100121122120101210
431013202133220010
5212321243023120
610245353051420
71006020413133
oct150742375004
940317576353
1014085126660
115a78761150
1228910b6b70
131436145897
1497891591a
1557684ace0
hex34789fa04

14085126660 has 96 divisors (see below), whose sum is σ = 43287939072. Its totient is φ = 3393601920.

The previous prime is 14085126631. The next prime is 14085126661. The reversal of 14085126660 is 6662158041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14085126661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42117 + ... + 173043.

It is an arithmetic number, because the mean of its divisors is an integer number (450916032).

Almost surely, 214085126660 is an apocalyptic number.

14085126660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14085126660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21643969536).

14085126660 is an abundant number, since it is smaller than the sum of its proper divisors (29202812412).

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

14085126660 is a wasteful number, since it uses less digits than its factorization.

14085126660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131113 (or 131111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 14085126660 in words is "fourteen billion, eighty-five million, one hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 652 660 815 978 1630 1793 1956 2445 3260 3586 4890 5379 7172 8965 9780 10758 17930 21516 26895 35860 53790 107580 130927 261854 392781 523708 654635 785562 1309270 1440197 1571124 1963905 2618540 2880394 3927810 4320591 5760788 7200985 7855620 8641182 14401970 17282364 21341101 21602955 28803940 42682202 43205910 64023303 85364404 86411820 106705505 128046606 213411010 234752111 256093212 320116515 426822020 469504222 640233030 704256333 939008444 1173760555 1280466060 1408512666 2347521110 2817025332 3521281665 4695042220 7042563330 14085126660