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14457014208 = 2632713275813
BaseRepresentation
bin11010111011011010…
…01000011111000000
31101022112102102012200
431131231020133000
5214101443423313
610350315553200
71021154410320
oct153555103700
941275372180
1014457014208
11614967582a
12297575b800
1314951c33a0
149b207d280
15599309b73
hex35db487c0

14457014208 has 168 divisors, whose sum is σ = 51001318368. Its totient is φ = 3812825088.

The previous prime is 14457014189. The next prime is 14457014233. The reversal of 14457014208 is 80241075441.

It is a happy number.

14457014208 is a `hidden beast` number, since 1 + 44 + 570 + 1 + 42 + 0 + 8 = 666.

14457014208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 85491 + ... + 190322.

It is an arithmetic number, because the mean of its divisors is an integer number (303579276).

Almost surely, 214457014208 is an apocalyptic number.

14457014208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14457014208 is an abundant number, since it is smaller than the sum of its proper divisors (36544304160).

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

14457014208 is a wasteful number, since it uses less digits than its factorization.

14457014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275851 (or 275838 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 14457014208 its reverse (80241075441), we get a palindrome (94698089649).

The spelling of 14457014208 in words is "fourteen billion, four hundred fifty-seven million, fourteen thousand, two hundred eight".