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14236908480 = 2632513736083
BaseRepresentation
bin11010100001001010…
…11111101111000000
31100202012020212220200
431100211133233000
5213124122032410
610312414205200
71012542503544
oct152045375700
940665225820
1014236908480
116046400073
122913ab3800
13145b719802
14990b45a24
15584d2d3c0
hex35095fbc0

14236908480 has 168 divisors, whose sum is σ = 49327838352. Its totient is φ = 3768692736.

The previous prime is 14236908473. The next prime is 14236908481. The reversal of 14236908480 is 8480963241.

It is a happy number.

14236908480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14236908481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376519 + ... + 412601.

Almost surely, 214236908480 is an apocalyptic number.

14236908480 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 14236908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663919176).

14236908480 is an abundant number, since it is smaller than the sum of its proper divisors (35090929872).

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

14236908480 is a wasteful number, since it uses less digits than its factorization.

14236908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36243 (or 36230 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 1423 and 6908480, that added together give a triangular number (6909903 = T3717).

The spelling of 14236908480 in words is "fourteen billion, two hundred thirty-six million, nine hundred eight thousand, four hundred eighty".