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14212330000 = 245411472749
BaseRepresentation
bin11010011110001111…
…01111001000010000
31100200111000011120121
431033013233020100
5213101324030000
610310135320024
71012123545301
oct151707571020
940614004517
1014212330000
116033542980
122907820014
1314565c242b
1498b7887a8
15582ac5b1a
hex34f1ef210

14212330000 has 200 divisors, whose sum is σ = 38350224000. Its totient is φ = 5056320000.

The previous prime is 14212329997. The next prime is 14212330001. The reversal of 14212330000 is 3321241.

It is a happy number.

14212330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (14212330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5168626 + ... + 5171374.

It is an arithmetic number, because the mean of its divisors is an integer number (191751120).

Almost surely, 214212330000 is an apocalyptic number.

14212330000 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 14212330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19175112000).

14212330000 is an abundant number, since it is smaller than the sum of its proper divisors (24137894000).

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

14212330000 is a wasteful number, since it uses less digits than its factorization.

14212330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14212330000 its reverse (3321241), we get a palindrome (14215651241).

The spelling of 14212330000 in words is "fourteen billion, two hundred twelve million, three hundred thirty thousand".