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14142312400 = 245235355781
BaseRepresentation
bin11010010101111001…
…01000111111010000
31100111121020220111011
431022330220333100
5212430412444100
610255154500304
71010313446326
oct151274507720
940447226434
1014142312400
115aa7a6a697
1228a8294694
131444c488b8
1498235dd16
1557b894bba
hex34af28fd0

14142312400 has 30 divisors (see below), whose sum is σ = 33976906502. Its totient is φ = 5656924800.

The previous prime is 14142312311. The next prime is 14142312419. The reversal of 14142312400 is 421324141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 999065664 + 13143246736 = 31608^2 + 114644^2 .

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, 17677491 + ... + 17678290.

Almost surely, 214142312400 is an apocalyptic number.

14142312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14142312400 is an abundant number, since it is smaller than the sum of its proper divisors (19834594102).

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

14142312400 is a wasteful number, since it uses less digits than its factorization.

14142312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35355799 (or 35355788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14142312400 its reverse (421324141), we get a palindrome (14563636541).

The spelling of 14142312400 in words is "fourteen billion, one hundred forty-two million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35355781 70711562 141423124 176778905 282846248 353557810 565692496 707115620 883894525 1414231240 1767789050 2828462480 3535578100 7071156200 14142312400