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14241210212224 = 27432797925073
BaseRepresentation
bin1100111100111100101001…
…0001101001111110000000
31212102110001102111022211101
43033033022101221332000
53331311444303242344
650142153251024144
72666615315335642
oct317171221517600
955373042438741
1014241210212224
1145a0732996216
12172006059b054
137c3c2bc84188
143733c7748892
1519a6a72109d4
hexcf3ca469f80

14241210212224 has 64 divisors (see below), whose sum is σ = 29041366123440. Its totient is φ = 6952515526656.

The previous prime is 14241210212213. The next prime is 14241210212227. The reversal of 14241210212224 is 42221201214241.

14241210212224 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 14241210212192 and 14241210212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241210212227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14932152 + ... + 15857224.

Almost surely, 214241210212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241210212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520683061720).

14241210212224 is an abundant number, since it is smaller than the sum of its proper divisors (14800155911216).

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

14241210212224 is an equidigital number, since it uses as much as digits as its factorization.

14241210212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927927 (or 927915 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14241210212224 its reverse (42221201214241), we get a palindrome (56462411426465).

The spelling of 14241210212224 in words is "fourteen trillion, two hundred forty-one billion, two hundred ten million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 2797 5504 5594 11188 22376 44752 89504 120271 179008 240542 358016 481084 925073 962168 1850146 1924336 3700292 3848672 7400584 7697344 14801168 15394688 29602336 39778139 59204672 79556278 118409344 159112556 318225112 636450224 1272900448 2545800896 2587429181 5091601792 5174858362 10349716724 20699433448 41398866896 82797733792 111259454783 165595467584 222518909566 331190935168 445037819132 890075638264 1780151276528 3560302553056 7120605106112 14241210212224