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14441122200 = 2335237897309
BaseRepresentation
bin11010111001100001…
…00000100110011000
31101021102112000110210
431130300200212120
5214033411402300
610344551211120
71020602341041
oct153460404630
941242460423
1014441122200
11614070093a
122970376aa0
131491b1aa2b
149add038c8
15597c1b050
hex35cc20998

14441122200 has 192 divisors, whose sum is σ = 46500372000. Its totient is φ = 3704279040.

The previous prime is 14441122151. The next prime is 14441122219. The reversal of 14441122200 is 222114441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972146 + ... + 1979454.

Almost surely, 214441122200 is an apocalyptic number.

14441122200 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 14441122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250186000).

14441122200 is an abundant number, since it is smaller than the sum of its proper divisors (32059249800).

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

14441122200 is a wasteful number, since it uses less digits than its factorization.

14441122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14441122200 its reverse (222114441), we get a palindrome (14663236641).

The spelling of 14441122200 in words is "fourteen billion, four hundred forty-one million, one hundred twenty-two thousand, two hundred".