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14428282440 = 233511135914251
BaseRepresentation
bin11010110111111111…
…00001111001001000
31101020112100200122010
431123333201321020
5214022120014230
610343412055520
71020355243245
oct153377417110
941215320563
1014428282440
116134431170
1229680045a0
13148c273740
149ac3205cc
15596a319b0
hex35bfe1e48

14428282440 has 256 divisors, whose sum is σ = 51717657600. Its totient is φ = 3173760000.

The previous prime is 14428282439. The next prime is 14428282459. The reversal of 14428282440 is 4428282441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005315 + ... + 1019565.

It is an arithmetic number, because the mean of its divisors is an integer number (202022100).

Almost surely, 214428282440 is an apocalyptic number.

14428282440 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 14428282440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25858828800).

14428282440 is an abundant number, since it is smaller than the sum of its proper divisors (37289375160).

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

14428282440 is a wasteful number, since it uses less digits than its factorization.

14428282440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14348 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 39.

Subtracting from 14428282440 its reverse (4428282441), we obtain a palindrome (9999999999).

The spelling of 14428282440 in words is "fourteen billion, four hundred twenty-eight million, two hundred eighty-two thousand, four hundred forty".