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14420234304 = 263572127149
BaseRepresentation
bin11010110111000001…
…10101000001000000
31101012222012210200000
431123200311001000
5214013034444204
610342523400000
71020226653300
oct153340650100
941188183600
1014420234304
11612a934513
122965383000
13148a6b6428
149ab227600
15595e92039
hex35b835040

14420234304 has 504 divisors, whose sum is σ = 50591923200. Its totient is φ = 4060191744.

The previous prime is 14420234299. The next prime is 14420234321. The reversal of 14420234304 is 40343202441.

It is a happy number.

14420234304 is a `hidden beast` number, since 1 + 4 + 420 + 234 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 96780022 + ... + 96780170.

It is an arithmetic number, because the mean of its divisors is an integer number (100380800).

Almost surely, 214420234304 is an apocalyptic number.

14420234304 is a gapful number since it is divisible by the number (14) 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 14420234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295961600).

14420234304 is an abundant number, since it is smaller than the sum of its proper divisors (36171688896).

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

14420234304 is a wasteful number, since it uses less digits than its factorization.

14420234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14420234304 its reverse (40343202441), we get a palindrome (54763436745).

The spelling of 14420234304 in words is "fourteen billion, four hundred twenty million, two hundred thirty-four thousand, three hundred four".