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14314430130 = 23571113237991
BaseRepresentation
bin11010101010011010…
…01101111010110010
31100221121010101121220
431111031031322302
5213303443231010
610324223525510
71014503435310
oct152515157262
940847111556
1014314430130
116086139250
122935a59896
1314717bcb00
1499b1650b0
1558ba42970
hex35534deb2

14314430130 has 384 divisors, whose sum is σ = 47681519616. Its totient is φ = 2668723200.

The previous prime is 14314430113. The next prime is 14314430153. The reversal of 14314430130 is 3103441341.

It is a self number, because there is not a number n which added to its sum of digits gives 14314430130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14443935 + ... + 14444925.

It is an arithmetic number, because the mean of its divisors is an integer number (124170624).

Almost surely, 214314430130 is an apocalyptic number.

14314430130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14314430130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23840759808).

14314430130 is an abundant number, since it is smaller than the sum of its proper divisors (33367089486).

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

14314430130 is a wasteful number, since it uses less digits than its factorization.

14314430130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14314430130 its reverse (3103441341), we get a palindrome (17417871471).

It can be divided in two parts, 14314 and 430130, that added together give a palindrome (444444).

The spelling of 14314430130 in words is "fourteen billion, three hundred fourteen million, four hundred thirty thousand, one hundred thirty".