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14110134304 = 257439143489
BaseRepresentation
bin11010010010000011…
…11001000000100000
31100102100201002102211
431021001321000200
5212344143244204
610252045051504
71006443106540
oct151101710040
940370632384
1014110134304
115a90891822
122899556b94
13143b3903c6
1497bd85320
15578b3a804
hex349079020

14110134304 has 48 divisors (see below), whose sum is σ = 31820342400. Its totient is φ = 6033383424.

The previous prime is 14110134229. The next prime is 14110134329. The reversal of 14110134304 is 40343101141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26592 + ... + 170080.

It is an arithmetic number, because the mean of its divisors is an integer number (662923800).

Almost surely, 214110134304 is an apocalyptic number.

14110134304 is a gapful number since it is divisible by the number (14) 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 14110134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910171200).

14110134304 is an abundant number, since it is smaller than the sum of its proper divisors (17710208096).

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

14110134304 is a wasteful number, since it uses less digits than its factorization.

14110134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143945 (or 143937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14110134304 its reverse (40343101141), we get a palindrome (54453235445).

The spelling of 14110134304 in words is "fourteen billion, one hundred ten million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 439 878 1756 3073 3512 6146 7024 12292 14048 24584 49168 98336 143489 286978 573956 1004423 1147912 2008846 2295824 4017692 4591648 8035384 16070768 32141536 62991671 125983342 251966684 440941697 503933368 881883394 1007866736 1763766788 2015733472 3527533576 7055067152 14110134304