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14044233120 = 2535172516857
BaseRepresentation
bin11010001010001100…
…11111110110100000
31100020202200222000020
431011012133312200
5212230310424440
610241332353440
71005013004031
oct150506376640
940222628006
1014044233120
115a57670235
12287b475880
13142a828418
1497330ca88
15572e6e3d0
hex34519fda0

14044233120 has 192 divisors, whose sum is σ = 47035126656. Its totient is φ = 3510272000.

The previous prime is 14044233109. The next prime is 14044233121. The reversal of 14044233120 is 2133244041.

14044233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14044233121) 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 31 ways as a sum of consecutive naturals, for example, 2044732 + ... + 2051588.

It is an arithmetic number, because the mean of its divisors is an integer number (244974618).

Almost surely, 214044233120 is an apocalyptic number.

14044233120 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 14044233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517563328).

14044233120 is an abundant number, since it is smaller than the sum of its proper divisors (32990893536).

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

14044233120 is a wasteful number, since it uses less digits than its factorization.

14044233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14044233120 its reverse (2133244041), we get a palindrome (16177477161).

The spelling of 14044233120 in words is "fourteen billion, forty-four million, two hundred thirty-three thousand, one hundred twenty".