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14136540066 = 235115944819
BaseRepresentation
bin11010010101001101…
…00111101110100010
31100111012101122100000
431022212213232202
5212422423240231
610254431040430
71010213415345
oct151246475642
940435348300
1014136540066
115aa4787870
1228a6370116
1314439a740c
1498169a45c
1557b1046e6
hex34a9a7ba2

14136540066 has 96 divisors (see below), whose sum is σ = 35239276800. Its totient is φ = 4211099280.

The previous prime is 14136540049. The next prime is 14136540083. The reversal of 14136540066 is 66004563141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14136540049) and next prime (14136540083).

It is a self number, because there is not a number n which added to its sum of digits gives 14136540066.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293005 + ... + 337823.

It is an arithmetic number, because the mean of its divisors is an integer number (367075800).

Almost surely, 214136540066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14136540066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619638400).

14136540066 is an abundant number, since it is smaller than the sum of its proper divisors (21102736734).

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

14136540066 is a wasteful number, since it uses less digits than its factorization.

14136540066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44906 (or 44894 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14136540066 in words is "fourteen billion, one hundred thirty-six million, five hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 243 297 354 486 531 594 649 891 1062 1298 1593 1782 1947 2673 3186 3894 4779 5346 5841 9558 11682 14337 17523 28674 35046 44819 52569 89638 105138 134457 157707 268914 315414 403371 493009 806742 986018 1210113 1479027 2420226 2644321 2958054 3630339 4437081 5288642 7260678 7932963 8874162 10891017 13311243 15865926 21782034 23798889 26622486 29087531 39933729 47597778 58175062 71396667 79867458 87262593 119801187 142793334 174525186 214190001 239602374 261787779 428380002 523575558 642570003 785363337 1285140006 1570726674 2356090011 4712180022 7068270033 14136540066