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14124315840 = 2635831031721
BaseRepresentation
bin11010010011101111…
…11111010011000000
31100110100101120211220
431021313333103000
5212411311101330
610253313035040
71010004463245
oct151167772300
940410346756
1014124315840
115a988985a8
1228a2255a80
1314412b734b
1497dbd75cc
15579edc710
hex349dff4c0

14124315840 has 224 divisors, whose sum is σ = 45852258816. Its totient is φ = 3682836480.

The previous prime is 14124315839. The next prime is 14124315851. The reversal of 14124315840 is 4851342141.

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 31 ways as a sum of consecutive naturals, for example, 8206180 + ... + 8207900.

It is an arithmetic number, because the mean of its divisors is an integer number (204697584).

Almost surely, 214124315840 is an apocalyptic number.

14124315840 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 14124315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926129408).

14124315840 is an abundant number, since it is smaller than the sum of its proper divisors (31727942976).

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

14124315840 is a wasteful number, since it uses less digits than its factorization.

14124315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 14124315840 its reverse (4851342141), we get a palindrome (18975657981).

The spelling of 14124315840 in words is "fourteen billion, one hundred twenty-four million, three hundred fifteen thousand, eight hundred forty".