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14110120400 = 245235275301
BaseRepresentation
bin11010010010000011…
…10101100111010000
31100102100200101100212
431021001311213100
5212344142323100
610252044503252
71006443021155
oct151101654720
940370611325
1014110120400
115a90882332
12289954ab28
13143b386c8c
1497bd8022c
15578b36635
hex3490759d0

14110120400 has 30 divisors (see below), whose sum is σ = 33899565222. Its totient is φ = 5644048000.

The previous prime is 14110120399. The next prime is 14110120417. The reversal of 14110120400 is 402101141.

It can be written as a sum of positive squares in 3 ways, for example, as 4570300816 + 9539819584 = 67604^2 + 97672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17637251 + ... + 17638050.

Almost surely, 214110120400 is an apocalyptic number.

14110120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14110120400 is an abundant number, since it is smaller than the sum of its proper divisors (19789444822).

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

14110120400 is a wasteful number, since it uses less digits than its factorization.

14110120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35275319 (or 35275308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14110120400 its reverse (402101141), we get a palindrome (14512221541).

The spelling of 14110120400 in words is "fourteen billion, one hundred ten million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35275301 70550602 141101204 176376505 282202408 352753010 564404816 705506020 881882525 1411012040 1763765050 2822024080 3527530100 7055060200 14110120400