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14450870448 = 2434710714887
BaseRepresentation
bin11010111010101011…
…01100100010110000
31101022002212021120000
431131111230202300
5214043410323243
610345540150000
71021051241430
oct153525544260
941262767500
1014450870448
116146159943
122973698300
131493b51b21
149b13202c0
155989e45d3
hex35d56c8b0

14450870448 has 200 divisors, whose sum is σ = 48249983232. Its totient is φ = 4089958272.

The previous prime is 14450870431. The next prime is 14450870471. The reversal of 14450870448 is 84407805441.

14450870448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 963261 + ... + 978147.

Almost surely, 214450870448 is an apocalyptic number.

14450870448 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 14450870448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24124991616).

14450870448 is an abundant number, since it is smaller than the sum of its proper divisors (33799112784).

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

14450870448 is a wasteful number, since it uses less digits than its factorization.

14450870448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021 (or 15006 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 14450870448 in words is "fourteen billion, four hundred fifty million, eight hundred seventy thousand, four hundred forty-eight".