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14441202422200 = 23525310163121377
BaseRepresentation
bin1101001000100101101010…
…1111011001000110111000
31220010120021020010020102101
43102021122233121012320
53343101040310002300
650414110302113144
73020225313146341
oct322113257310670
956116236106371
1014441202422200
114668530316684
12175297557b7b4
13809a517a6668
1437cd5a79d0c8
151a09aeb46b6a
hexd225abd91b8

14441202422200 has 192 divisors, whose sum is σ = 34604377053120. Its totient is φ = 5602222080000.

The previous prime is 14441202422189. The next prime is 14441202422249. The reversal of 14441202422200 is 222420214441.

It is a happy number.

14441202422200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 675537912 + ... + 675559288.

It is an arithmetic number, because the mean of its divisors is an integer number (180231130485).

Almost surely, 214441202422200 is an apocalyptic number.

14441202422200 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 14441202422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302188526560).

14441202422200 is an abundant number, since it is smaller than the sum of its proper divisors (20163174630920).

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

14441202422200 is a wasteful number, since it uses less digits than its factorization.

14441202422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22178 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14441202422200 its reverse (222420214441), we get a palindrome (14663622636641).

The spelling of 14441202422200 in words is "fourteen trillion, four hundred forty-one billion, two hundred two million, four hundred twenty-two thousand, two hundred".