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14310310014 = 234711131729179
BaseRepresentation
bin11010101001111011…
…00000000001111110
31100221022101001220000
431110331200001332
5213301414410024
610323555335130
71014423425310
oct152475400176
940838331800
1014310310014
1160838847a0
1229345b14a6
1314709a9680
1499a7b17b0
1558b4cbcc9
hex354f6007e

14310310014 has 640 divisors, whose sum is σ = 47421158400. Its totient is φ = 3100446720.

The previous prime is 14310309989. The next prime is 14310310051. The reversal of 14310310014 is 41001301341.

14310310014 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 (18).

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 319 ways as a sum of consecutive naturals, for example, 79945777 + ... + 79945955.

It is an arithmetic number, because the mean of its divisors is an integer number (74095560).

Almost surely, 214310310014 is an apocalyptic number.

14310310014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14310310014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710579200).

14310310014 is an abundant number, since it is smaller than the sum of its proper divisors (33110848386).

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

14310310014 is a wasteful number, since it uses less digits than its factorization.

14310310014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14310310014 its reverse (41001301341), we get a palindrome (55311611355).

The spelling of 14310310014 in words is "fourteen billion, three hundred ten million, three hundred ten thousand, fourteen".