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9014128165314 = 232618209588493
BaseRepresentation
bin1000001100101100001111…
…1010000100000111000010
31011220202001002102222200100
42003023003322010013002
52140141413302242224
631101011110103230
71620151333123506
oct203130372040702
934822032388610
109014128165314
112965963395908
121016bb934ab16
1350504abc421c
14232401202306
15109728bc9ac9
hex832c3e841c2

9014128165314 has 24 divisors (see below), whose sum is σ = 19850784978492. Its totient is φ = 2955451857120.

The previous prime is 9014128165307. The next prime is 9014128165319. The reversal of 9014128165314 is 4135618214109.

9014128165314 is a `hidden beast` number, since 90 + 1 + 4 + 1 + 28 + 1 + 6 + 531 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7623811265625 + 1390316899689 = 2761125^2 + 1179117^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9014128165314.

It is not an unprimeable number, because it can be changed into a prime (9014128165319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4104793149 + ... + 4104795344.

Almost surely, 29014128165314 is an apocalyptic number.

9014128165314 is an abundant number, since it is smaller than the sum of its proper divisors (10836656813178).

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

9014128165314 is a wasteful number, since it uses less digits than its factorization.

9014128165314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209588562 (or 8209588559 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 9014128165314 in words is "nine trillion, fourteen billion, one hundred twenty-eight million, one hundred sixty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 8209588493 16419176986 24628765479 49257530958 73886296437 147772592874 500784898073 1001569796146 1502354694219 3004709388438 4507064082657 9014128165314