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14313365010 = 2345721572297
BaseRepresentation
bin11010101010010010…
…01001111000010010
31100221112010021120000
431111021021320102
5213303210140020
610324145030430
71014461411100
oct152511117022
940845107500
1014313365010
116085580a8a
122935625416
131471509069
1499ad68c70
1558b8d2090
hex355249e12

14313365010 has 240 divisors, whose sum is σ = 45075426264. Its totient is φ = 3249372672.

The previous prime is 14313364993. The next prime is 14313365041. The reversal of 14313365010 is 1056331341.

14313365010 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 3 + 3 + 650 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9945873441 + 4367491569 = 99729^2 + 66087^2 .

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 119 ways as a sum of consecutive naturals, for example, 6230182 + ... + 6232478.

Almost surely, 214313365010 is an apocalyptic number.

14313365010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14313365010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537713132).

14313365010 is an abundant number, since it is smaller than the sum of its proper divisors (30762061254).

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

14313365010 is a wasteful number, since it uses less digits than its factorization.

14313365010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 14313365010 its reverse (1056331341), we get a palindrome (15369696351).

The spelling of 14313365010 in words is "fourteen billion, three hundred thirteen million, three hundred sixty-five thousand, ten".