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12378286146114 = 2327149867655517
BaseRepresentation
bin1011010000100000101101…
…0110010100001001000010
31121211100112001012101222200
42310020023112110021002
53110301212223133424
642154301155014030
72415205320134040
oct264101326241102
947740461171880
1012378286146114
113a42668912409
12147abb2b9a316
136ba362565c75
1430b180009390
15166ec33ae8c9
hexb420b594242

12378286146114 has 48 divisors (see below), whose sum is σ = 30651245546688. Its totient is φ = 3536624190816.

The previous prime is 12378286146113. The next prime is 12378286146167. The reversal of 12378286146114 is 41164168287321.

It is a happy number.

12378286146114 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 8 + 2 + 8 + 6 + 14 + 611 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12378286146113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18555484 + ... + 19211000.

It is an arithmetic number, because the mean of its divisors is an integer number (638567615556).

Almost surely, 212378286146114 is an apocalyptic number.

12378286146114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12378286146114 is an abundant number, since it is smaller than the sum of its proper divisors (18272959400574).

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

12378286146114 is a wasteful number, since it uses less digits than its factorization.

12378286146114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805399 (or 805396 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 12378286146114 in words is "twelve trillion, three hundred seventy-eight billion, two hundred eighty-six million, one hundred forty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149867 299734 449601 655517 899202 1049069 1311034 1348803 1966551 2098138 2697606 3147207 3933102 4588619 5899653 6294414 9177238 9441621 11799306 13765857 18883242 27531714 41297571 82595142 98240366239 196480732478 294721098717 589442197434 687682563673 884163296151 1375365127346 1768326592302 2063047691019 4126095382038 6189143073057 12378286146114