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14210041000 = 235394115101
BaseRepresentation
bin11010011101111110…
…00000010010101000
31100200022200212122211
431032333000102220
5213100232303000
610310014254504
71012065232651
oct151677002250
940608625584
1014210041000
11603221a141
122906ab7434
131455ca05ac
1498b350528
155827c27ba
hex34efc04a8

14210041000 has 64 divisors (see below), whose sum is σ = 33289036560. Its totient is φ = 5677600000.

The previous prime is 14210040917. The next prime is 14210041009. The reversal of 14210041000 is 14001241.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 14199582244 = 3234^2 + 119162^2 .

It is not an unprimeable number, because it can be changed into a prime (14210041009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933450 + ... + 948550.

Almost surely, 214210041000 is an apocalyptic number.

14210041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14210041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644518280).

14210041000 is an abundant number, since it is smaller than the sum of its proper divisors (19078995560).

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

14210041000 is a wasteful number, since it uses less digits than its factorization.

14210041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16063 (or 16049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14210041000 its reverse (14001241), we get a palindrome (14224042241).

The spelling of 14210041000 in words is "fourteen billion, two hundred ten million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 941 1000 1882 3764 4705 7528 9410 15101 18820 23525 30202 37640 47050 60404 75505 94100 117625 120808 151010 188200 235250 302020 377525 470500 604040 755050 941000 1510100 1887625 3020200 3775250 7550500 14210041 15101000 28420082 56840164 71050205 113680328 142100410 284200820 355251025 568401640 710502050 1421004100 1776255125 2842008200 3552510250 7105020500 14210041000