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14423240160 = 2533572611117
BaseRepresentation
bin11010110111011000…
…10010110111100000
31101020011212111221000
431123230102313200
5214014322141120
610343112032000
71020264342600
oct153354226740
941204774830
1014423240160
1161315a789a
122966392600
13148b1c9644
149ab7aac00
15596387990
hex35bb12de0

14423240160 has 576 divisors, whose sum is σ = 59739301440. Its totient is φ = 3239792640.

The previous prime is 14423240129. The next prime is 14423240189. The reversal of 14423240160 is 6104232441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12911922 + ... + 12913038.

It is an arithmetic number, because the mean of its divisors is an integer number (103714065).

Almost surely, 214423240160 is an apocalyptic number.

14423240160 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 14423240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29869650720).

14423240160 is an abundant number, since it is smaller than the sum of its proper divisors (45316061280).

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

14423240160 is a wasteful number, since it uses less digits than its factorization.

14423240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14423240160 in words is "fourteen billion, four hundred twenty-three million, two hundred forty thousand, one hundred sixty".