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14444213232 = 243387777617
BaseRepresentation
bin11010111001111000…
…10011001111110000
31101021122100001120110
431130330103033300
5214040204310412
610345141341320
71020640533561
oct153474231760
941248301513
1014444213232
116142422209
122971407840
131492660947
149b04aa168
1559812bd3c
hex35cf133f0

14444213232 has 40 divisors (see below), whose sum is σ = 37324322896. Its totient is φ = 4813433856.

The previous prime is 14444213213. The next prime is 14444213237. The reversal of 14444213232 is 23231244441.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14444213232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444213237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147288 + ... + 224904.

Almost surely, 214444213232 is an apocalyptic number.

14444213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14444213232 is an abundant number, since it is smaller than the sum of its proper divisors (22880109664).

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

14444213232 is a wasteful number, since it uses less digits than its factorization.

14444213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81505 (or 81499 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 14444213232 its reverse (23231244441), we get a palindrome (37675457673).

The spelling of 14444213232 in words is "fourteen billion, four hundred forty-four million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 3877 7754 11631 15508 23262 31016 46524 62032 77617 93048 155234 186096 232851 310468 465702 620936 931404 1241872 1862808 3725616 300921109 601842218 902763327 1203684436 1805526654 2407368872 3611053308 4814737744 7222106616 14444213232