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14160131023104 = 283511217412699
BaseRepresentation
bin1100111000001110100110…
…0101000110000100000000
31212010200202212200202200000
43032003221211012010000
53323444422020214404
650041024022400000
72661015150525243
oct316035145060400
955120685622600
1014160131023104
11456a306899400
1217083b3290000
137b93aa3a6c21
1436d4d552b25a
1519850e11c339
hexce0e9946100

14160131023104 has 1296 divisors, whose sum is σ = 50496291518400. Its totient is φ = 3938579251200.

The previous prime is 14160131023099. The next prime is 14160131023141. The reversal of 14160131023104 is 40132013106141.

14160131023104 is a `hidden beast` number, since 1 + 4 + 1 + 601 + 31 + 0 + 23 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5246434747 + ... + 5246437445.

It is an arithmetic number, because the mean of its divisors is an integer number (38963187900).

Almost surely, 214160131023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14160131023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25248145759200).

14160131023104 is an abundant number, since it is smaller than the sum of its proper divisors (36336160495296).

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

14160131023104 is a wasteful number, since it uses less digits than its factorization.

14160131023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14160131023104 its reverse (40132013106141), we get a palindrome (54292144129245).

The spelling of 14160131023104 in words is "fourteen trillion, one hundred sixty billion, one hundred thirty-one million, twenty-three thousand, one hundred four".