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14478108480 = 26345111729103
BaseRepresentation
bin11010111101111011…
…00110011101000000
31101101000010010010000
431132331212131000
5214122343432410
610352352040000
71021531614543
oct153675463500
941330103100
1014478108480
11615a573210
122980833000
13149969a8c4
149b4bb085a
1559b0c4dc0
hex35ef66740

14478108480 has 1120 divisors, whose sum is σ = 62136771840. Its totient is φ = 3158507520.

The previous prime is 14478108443. The next prime is 14478108503. The reversal of 14478108480 is 8480187441.

It is a happy number.

14478108480 is a `hidden beast` number, since 14 + 478 + 10 + 84 + 80 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 140564109 + ... + 140564211.

Almost surely, 214478108480 is an apocalyptic number.

14478108480 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 14478108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31068385920).

14478108480 is an abundant number, since it is smaller than the sum of its proper divisors (47658663360).

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

14478108480 is a wasteful number, since it uses less digits than its factorization.

14478108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 14478108480 in words is "fourteen billion, four hundred seventy-eight million, one hundred eight thousand, four hundred eighty".