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14163436141 = 101617322717
BaseRepresentation
bin11010011000011010…
…01110001001101101
31100120002000002210221
431030031032021231
5213001314424031
610301231331341
71010661135511
oct151415161155
940502002727
1014163436141
116008988228
1228b3380b51
13144943365a
1498509c141
1557d668a11
hex34c34e26d

14163436141 has 8 divisors (see below), whose sum is σ = 14306615064. Its totient is φ = 14020315200.

The previous prime is 14163436103. The next prime is 14163436163.

14163436141 is nontrivially palindromic in base 10.

14163436141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 902762116 + 13260674025 = 30046^2 + 115155^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14163436141 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14163436097 and 14163436106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14163436181) 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 7 ways as a sum of consecutive naturals, for example, 612115 + ... + 634831.

It is an arithmetic number, because the mean of its divisors is an integer number (1788326883).

Almost surely, 214163436141 is an apocalyptic number.

It is an amenable number.

14163436141 is a deficient number, since it is larger than the sum of its proper divisors (143178923).

14163436141 is a wasteful number, since it uses less digits than its factorization.

14163436141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28991.

The product of its digits is 20736, while the sum is 34.

The spelling of 14163436141 in words is "fourteen billion, one hundred sixty-three million, four hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 101 6173 22717 623473 2294417 140232041 14163436141