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14443111320 = 23351137734051
BaseRepresentation
bin11010111001110000…
…00110001110011000
31101021120021002000220
431130320012032120
5214034414030240
610345102000040
71020625264161
oct153470061630
941246232026
1014443111320
11614183a340
122970b76020
131492366221
149b02a0768
15597eb05d0
hex35ce06398

14443111320 has 256 divisors, whose sum is σ = 49223047680. Its totient is φ = 3359232000.

The previous prime is 14443111273. The next prime is 14443111339. The reversal of 14443111320 is 2311134441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3563295 + ... + 3567345.

It is an arithmetic number, because the mean of its divisors is an integer number (192277530).

Almost surely, 214443111320 is an apocalyptic number.

14443111320 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 14443111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24611523840).

14443111320 is an abundant number, since it is smaller than the sum of its proper divisors (34779936360).

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

14443111320 is a wasteful number, since it uses less digits than its factorization.

14443111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14443111320 its reverse (2311134441), we get a palindrome (16754245761).

The spelling of 14443111320 in words is "fourteen billion, four hundred forty-three million, one hundred eleven thousand, three hundred twenty".