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14024252000 = 2553111718749
BaseRepresentation
bin11010000111110100…
…10001101001100000
31100012101002211001202
431003322101221200
5212210202031000
610235340220332
71004351114033
oct150372215140
940171084052
1014024252000
115a47363110
12287483a6a8
131426650785
149707cb01a
15571323dd5
hex343e91a60

14024252000 has 192 divisors, whose sum is σ = 39803400000. Its totient is φ = 4799488000.

The previous prime is 14024251981. The next prime is 14024252003. The reversal of 14024252000 is 25242041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024252003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738626 + ... + 757374.

It is an arithmetic number, because the mean of its divisors is an integer number (207309375).

Almost surely, 214024252000 is an apocalyptic number.

14024252000 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 14024252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901700000).

14024252000 is an abundant number, since it is smaller than the sum of its proper divisors (25779148000).

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

14024252000 is a wasteful number, since it uses less digits than its factorization.

14024252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802 (or 18784 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 14024252000 its reverse (25242041), we get a palindrome (14049494041).

The spelling of 14024252000 in words is "fourteen billion, twenty-four million, two hundred fifty-two thousand".