Search a number
-
+
14104024400 = 245235260061
BaseRepresentation
bin11010010001010101…
…00101010101010000
31100101221012200020002
431020222211111100
5212341112240100
610251310105132
71006340141444
oct151052452520
940357180202
1014104024400
115a88399314
1228974ab1a8
13143a03138b
1497b234824
155783302d5
hex348aa5550

14104024400 has 30 divisors (see below), whose sum is σ = 33884919582. Its totient is φ = 5641609600.

The previous prime is 14104024397. The next prime is 14104024411. The reversal of 14104024400 is 442040141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 79780624 + 14024243776 = 8932^2 + 118424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17629631 + ... + 17630430.

Almost surely, 214104024400 is an apocalyptic number.

14104024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14104024400 is an abundant number, since it is smaller than the sum of its proper divisors (19780895182).

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

14104024400 is a wasteful number, since it uses less digits than its factorization.

14104024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35260079 (or 35260068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14104024400 its reverse (442040141), we get a palindrome (14546064541).

The spelling of 14104024400 in words is "fourteen billion, one hundred four million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35260061 70520122 141040244 176300305 282080488 352600610 564160976 705201220 881501525 1410402440 1763003050 2820804880 3526006100 7052012200 14104024400