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14244201216 = 2835724673
BaseRepresentation
bin11010100010000010…
…10100001100000000
31100202200222101200000
431101001110030000
5213133003414331
610313234400000
71012661466300
oct152101241400
940680871600
1014244201216
11604a531223
122916430000
1314600a103b
14991ac3600
155857be0e6
hex351054300

14244201216 has 324 divisors, whose sum is σ = 49554813672. Its totient is φ = 4068900864.

The previous prime is 14244201173. The next prime is 14244201221. The reversal of 14244201216 is 61210244241.

14244201216 is a `hidden beast` number, since 1 + 4 + 2 + 442 + 0 + 1 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14244201216.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3045856 + ... + 3050528.

Almost surely, 214244201216 is an apocalyptic number.

14244201216 is a gapful number since it is divisible by the number (16) 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 14244201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24777406836).

14244201216 is an abundant number, since it is smaller than the sum of its proper divisors (35310612456).

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

14244201216 is an frugal number, since it uses more digits than its factorization.

14244201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14244201216 its reverse (61210244241), we get a palindrome (75454445457).

It can be divided in two parts, 1424420 and 1216, that added together give a square (1425636 = 11942).

The spelling of 14244201216 in words is "fourteen billion, two hundred forty-four million, two hundred one thousand, two hundred sixteen".