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14453990208 = 2632723713841
BaseRepresentation
bin11010111011000011…
…00110001101000000
31101022022201210001200
431131201212031000
5214100210141313
610350131101200
71021116614100
oct153541461500
941268653050
1014453990208
11614799a859
122974741800
1314946a4b38
149b18d3200
15598e0db73
hex35d866340

14453990208 has 252 divisors, whose sum is σ = 49499905572. Its totient is φ = 4017807360.

The previous prime is 14453990203. The next prime is 14453990209. The reversal of 14453990208 is 80209935441.

14453990208 is a `hidden beast` number, since 1 + 4 + 4 + 539 + 90 + 20 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9137830464 + 5316159744 = 95592^2 + 72912^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14453990203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1037368 + ... + 1051208.

Almost surely, 214453990208 is an apocalyptic number.

14453990208 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 14453990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24749952786).

14453990208 is an abundant number, since it is smaller than the sum of its proper divisors (35045915364).

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

14453990208 is a wasteful number, since it uses less digits than its factorization.

14453990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910 (or 13890 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14453990208 in words is "fourteen billion, four hundred fifty-three million, nine hundred ninety thousand, two hundred eight".