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14112000000 = 211325672
BaseRepresentation
bin11010010010010010…
…00000100000000000
31100102111012212200200
431021021000200000
5212400133000000
610252153045200
71006465010100
oct151111004000
940374185620
1014112000000
115a9194651a
12289a0b6800
13143b894677
1497c30d200
15578da8500
hex349240800

14112000000 has 756 divisors, whose sum is σ = 59264768745. Its totient is φ = 3225600000.

The previous prime is 14111999987. The next prime is 14112000011. The reversal of 14112000000 is 21141.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 2406491136 + 11705508864 = 49056^2 + 108192^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84000.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2015999997 + ... + 2016000003.

Almost surely, 214112000000 is an apocalyptic number.

14112000000 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 14112000000

14112000000 is an abundant number, since it is smaller than the sum of its proper divisors (45152768745).

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

14112000000 is an frugal number, since it uses more digits than its factorization.

14112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 14112000000 its reverse (21141), we get a palindrome (14112021141).

The spelling of 14112000000 in words is "fourteen billion, one hundred twelve million", and thus it is an aban number.