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14234406120 = 2332511361487
BaseRepresentation
bin11010100000110111…
…11100110011101000
31100202000112202022200
431100123330303220
5213123001443440
610312244420200
71012512312204
oct152033746350
940660482280
1014234406120
116044a51000
1229130a7660
13145b05181c
14990693b04
155849d6c30
hex3506fcce8

14234406120 has 384 divisors, whose sum is σ = 51824897280. Its totient is φ = 3387225600.

The previous prime is 14234406107. The next prime is 14234406133. The reversal of 14234406120 is 2160443241.

It is a happy number.

14234406120 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 4 + 40 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14234406107) and next prime (14234406133).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29228517 + ... + 29229003.

It is an arithmetic number, because the mean of its divisors is an integer number (134960670).

Almost surely, 214234406120 is an apocalyptic number.

14234406120 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 14234406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25912448640).

14234406120 is an abundant number, since it is smaller than the sum of its proper divisors (37590491160).

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

14234406120 is a wasteful number, since it uses less digits than its factorization.

14234406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14234406120 its reverse (2160443241), we get a palindrome (16394849361).

The spelling of 14234406120 in words is "fourteen billion, two hundred thirty-four million, four hundred six thousand, one hundred twenty".