Search a number
-
+
14122413424 = 247126092977
BaseRepresentation
bin11010010011100001…
…01110110101110000
31100110012210221020001
431021300232311300
5212410314212144
610253204155344
71006652350660
oct151160566560
940405727201
1014122413424
115a97809259
1228a1698b54
131440a9c462
1497d8601a0
15579c63bd4
hex349c2ed70

14122413424 has 20 divisors (see below), whose sum is σ = 31271058544. Its totient is φ = 6052462848.

The previous prime is 14122413421. The next prime is 14122413449. The reversal of 14122413424 is 42431422141.

14122413424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14122413392 and 14122413401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122413421) by changing a digit.

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, 63046377 + ... + 63046600.

Almost surely, 214122413424 is an apocalyptic number.

14122413424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14122413424 is an abundant number, since it is smaller than the sum of its proper divisors (17148645120).

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

14122413424 is a wasteful number, since it uses less digits than its factorization.

14122413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126092992 (or 126092986 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 14122413424 its reverse (42431422141), we get a palindrome (56553835565).

The spelling of 14122413424 in words is "fourteen billion, one hundred twenty-two million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 126092977 252185954 504371908 882650839 1008743816 1765301678 2017487632 3530603356 7061206712 14122413424