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14409726912 = 2632719917959
BaseRepresentation
bin11010110101110001…
…01111101111000000
31101012020102222020100
431122320233233000
5214002342230122
610341510242400
71020041441430
oct153270575700
941166388210
1014409726912
116124a08119
122961956400
131488477939
149a9a902c0
155950b8aac
hex35ae2fbc0

14409726912 has 168 divisors, whose sum is σ = 47443136000. Its totient is φ = 4096147968.

The previous prime is 14409726889. The next prime is 14409726937. The reversal of 14409726912 is 21962790441.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 793389 + ... + 811347.

Almost surely, 214409726912 is an apocalyptic number.

14409726912 is a gapful number since it is divisible by the number (12) 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 14409726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23721568000).

14409726912 is an abundant number, since it is smaller than the sum of its proper divisors (33033409088).

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

14409726912 is a wasteful number, since it uses less digits than its factorization.

14409726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18183 (or 18170 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 14409 and 726912, that added together give a square (741321 = 8612).

The spelling of 14409726912 in words is "fourteen billion, four hundred nine million, seven hundred twenty-six thousand, nine hundred twelve".