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14042430000 = 24335452009
BaseRepresentation
bin11010001001111111…
…00111101000110000
31100020122022100121000
431010333213220300
5212224330230000
610241230002000
71004661454104
oct150477475060
940218270530
1014042430000
115a56649555
12287a946300
13142a3467a1
14972d9d904
15572c15000
hex344fe7a30

14042430000 has 200 divisors, whose sum is σ = 50368564400. Its totient is φ = 3744576000.

The previous prime is 14042429983. The next prime is 14042430001. The reversal of 14042430000 is 3424041.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14042430001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243996 + ... + 296004.

It is an arithmetic number, because the mean of its divisors is an integer number (251842822).

Almost surely, 214042430000 is an apocalyptic number.

14042430000 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 14042430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25184282200).

14042430000 is an abundant number, since it is smaller than the sum of its proper divisors (36326134400).

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

14042430000 is an equidigital number, since it uses as much as digits as its factorization.

14042430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52046 (or 52019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14042430000 its reverse (3424041), we get a palindrome (14045854041).

The spelling of 14042430000 in words is "fourteen billion, forty-two million, four hundred thirty thousand".