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14226469488 = 24327211219877
BaseRepresentation
bin11010011111111011…
…01011001001110000
31100201110121112022100
431033331223021300
5213113434010423
610311402340400
71012354665300
oct151775531160
940643545270
1014226469488
116040520100
1229104ba700
1314595031aa
1498d5c9600
15583e6a343
hex34ff6b270

14226469488 has 540 divisors, whose sum is σ = 53648311080. Its totient is φ = 3496711680.

The previous prime is 14226469487. The next prime is 14226469493. The reversal of 14226469488 is 88496462241.

It is a happy number.

14226469488 is a `hidden beast` number, since 1 + 42 + 2 + 64 + 69 + 488 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14226469483) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16221306 + ... + 16222182.

Almost surely, 214226469488 is an apocalyptic number.

14226469488 is a gapful number since it is divisible by the number (18) 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 14226469488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824155540).

14226469488 is an abundant number, since it is smaller than the sum of its proper divisors (39421841592).

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

14226469488 is a wasteful number, since it uses less digits than its factorization.

14226469488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 919 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 14226469488 in words is "fourteen billion, two hundred twenty-six million, four hundred sixty-nine thousand, four hundred eighty-eight".