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14161328865936 = 243274729976379
BaseRepresentation
bin1100111000010011000011…
…1110100000001010010000
31212010210212100122111010100
43032010300332200022100
53324004400142202221
650041342532332400
72661056634160350
oct316046076401220
955123770574110
1014161328865936
11456a870a6145a
121708688474100
137b953b5c4575
1436d5aa658b60
1519857e37d926
hexce130fa0290

14161328865936 has 360 divisors, whose sum is σ = 46331654832320. Its totient is φ = 3955414768128.

The previous prime is 14161328865919. The next prime is 14161328865947. The reversal of 14161328865936 is 63956882316141.

It is a happy number.

14161328865936 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 1 + 32 + 8 + 8 + 6 + 593 + 6 = 666.

It is a super-2 number, since 2×141613288659362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2219988795 + ... + 2219995173.

Almost surely, 214161328865936 is an apocalyptic number.

14161328865936 is a gapful number since it is divisible by the number (16) 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 14161328865936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23165827416160).

14161328865936 is an abundant number, since it is smaller than the sum of its proper divisors (32170325966384).

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

14161328865936 is a wasteful number, since it uses less digits than its factorization.

14161328865936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7435 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 14161328865936 in words is "fourteen trillion, one hundred sixty-one billion, three hundred twenty-eight million, eight hundred sixty-five thousand, nine hundred thirty-six".