Search a number
-
+
14124400040 = 235353110001
BaseRepresentation
bin11010010011110000…
…10011110110101000
31100110100112212100102
431021320103312220
5212411321300130
610253314524532
71010005263602
oct151170236650
940410485312
1014124400040
115a98945893
1228a2296748
13144131677a
1497dc1a172
1557a007645
hex349e13da8

14124400040 has 16 divisors (see below), whose sum is σ = 31779900180. Its totient is φ = 5649760000.

The previous prime is 14124400021. The next prime is 14124400159. The reversal of 14124400040 is 4000442141.

It is a happy number.

14124400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14095863076 + 28536964 = 118726^2 + 5342^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14124399985 and 14124400021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176554961 + ... + 176555040.

Almost surely, 214124400040 is an apocalyptic number.

14124400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124400040 is an abundant number, since it is smaller than the sum of its proper divisors (17655500140).

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

14124400040 is a wasteful number, since it uses less digits than its factorization.

14124400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353110012 (or 353110008 counting only the distinct ones).

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

Adding to 14124400040 its reverse (4000442141), we get a palindrome (18124842181).

The spelling of 14124400040 in words is "fourteen billion, one hundred twenty-four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 353110001 706220002 1412440004 1765550005 2824880008 3531100010 7062200020 14124400040