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14428273320 = 233251743109503
BaseRepresentation
bin11010110111111110…
…11111101010101000
31101020112100020010100
431123333133222220
5214022114221240
610343411545400
71020355204536
oct153377375250
941215306110
1014428273320
11613442532a
122967bbb260
13148c26c546
149ac31b156
15596a2de30
hex35bfdfaa8

14428273320 has 384 divisors, whose sum is σ = 51372921600. Its totient is φ = 3497582592.

The previous prime is 14428273289. The next prime is 14428273357. The reversal of 14428273320 is 2337282441.

It is a happy number.

14428273320 is a `hidden beast` number, since 1 + 44 + 28 + 273 + 320 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28684189 + ... + 28684691.

It is an arithmetic number, because the mean of its divisors is an integer number (133783650).

Almost surely, 214428273320 is an apocalyptic number.

14428273320 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 14428273320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686460800).

14428273320 is an abundant number, since it is smaller than the sum of its proper divisors (36944648280).

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

14428273320 is a wasteful number, since it uses less digits than its factorization.

14428273320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 14428273320 in words is "fourteen billion, four hundred twenty-eight million, two hundred seventy-three thousand, three hundred twenty".