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14244422500 = 225472112312
BaseRepresentation
bin11010100010000100…
…01010001101100100
31100202201101122012201
431101002022031210
5213133033010000
610313243224244
71012663410400
oct152102121544
940681348181
1014244422500
11604a672500
122916518084
13146014a989
14991b40100
1558581496a
hex35108a364

14244422500 has 405 divisors, whose sum is σ = 41155209711. Its totient is φ = 4296600000.

The previous prime is 14244422483. The next prime is 14244422509. The reversal of 14244422500 is 522444241.

The square root of 14244422500 is 119350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1116762724 + 13127659776 = 33418^2 + 114576^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14244422509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 459497485 + ... + 459497515.

Almost surely, 214244422500 is an apocalyptic number.

14244422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14244422500 is the 119350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244422500

14244422500 is an abundant number, since it is smaller than the sum of its proper divisors (26910787211).

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

14244422500 is a wasteful number, since it uses less digits than its factorization.

14244422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 14244422500 its reverse (522444241), we get a palindrome (14766866741).

The spelling of 14244422500 in words is "fourteen billion, two hundred forty-four million, four hundred twenty-two thousand, five hundred".