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14313936280 = 23573167151163
BaseRepresentation
bin11010101010010110…
…10101010110011000
31100221120012022012011
431111023111112120
5213303331430110
610324205155304
71014466310440
oct152513252630
940846168164
1014313936280
116085931206
12293585bb34
1314716790a7
1499b077120
1558b99648a
hex3552d5598

14313936280 has 256 divisors, whose sum is σ = 39055196160. Its totient is φ = 4618944000.

The previous prime is 14313936253. The next prime is 14313936323. The reversal of 14313936280 is 8263931341.

It is a happy number.

14313936280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 87815479 + ... + 87815641.

It is an arithmetic number, because the mean of its divisors is an integer number (152559360).

Almost surely, 214313936280 is an apocalyptic number.

14313936280 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 14313936280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19527598080).

14313936280 is an abundant number, since it is smaller than the sum of its proper divisors (24741259880).

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

14313936280 is a wasteful number, since it uses less digits than its factorization.

14313936280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 14313936280 in words is "fourteen billion, three hundred thirteen million, nine hundred thirty-six thousand, two hundred eighty".