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14255253144 = 233211372272143
BaseRepresentation
bin11010100011010110…
…11110011010011000
31100210110202220001200
431101223132122120
5213143321100034
610314311314200
71013154436536
oct152153363230
940713686050
1014255253144
11605579a750
12291a07b960
131462470642
1499335d156
15586753a99
hex351ade698

14255253144 has 192 divisors, whose sum is σ = 43466941440. Its totient is φ = 4182554880.

The previous prime is 14255253121. The next prime is 14255253149. The reversal of 14255253144 is 44135255241.

14255253144 is a `hidden beast` number, since 1 + 42 + 552 + 53 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14255253099 and 14255253108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14255253149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6650937 + ... + 6653079.

It is an arithmetic number, because the mean of its divisors is an integer number (226390320).

Almost surely, 214255253144 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 14255253144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733470720).

14255253144 is an abundant number, since it is smaller than the sum of its proper divisors (29211688296).

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

14255253144 is a wasteful number, since it uses less digits than its factorization.

14255253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2423 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 14255253144 in words is "fourteen billion, two hundred fifty-five million, two hundred fifty-three thousand, one hundred forty-four".