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14324211144 = 2332198947377
BaseRepresentation
bin11010101011100101…
…00001110111001000
31100222021112022122200
431111302201313020
5213313444224034
610325213320200
71014652533345
oct152562416710
940867468580
1014324211144
116090709931
122939196060
131473835aa9
1499c58d7cc
1558c825a99
hex355ca1dc8

14324211144 has 24 divisors (see below), whose sum is σ = 38794738710. Its totient is φ = 4774737024.

The previous prime is 14324211047. The next prime is 14324211149. The reversal of 14324211144 is 44111242341.

14324211144 is a `hidden beast` number, since 1 + 432 + 4 + 211 + 14 + 4 = 666.

14324211144 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 only one way, i.e., 13164808644 + 1159402500 = 114738^2 + 34050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14324211149) 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 5 ways as a sum of consecutive naturals, for example, 99473617 + ... + 99473760.

Almost surely, 214324211144 is an apocalyptic number.

It is an amenable number.

14324211144 is an abundant number, since it is smaller than the sum of its proper divisors (24470527566).

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

14324211144 is a wasteful number, since it uses less digits than its factorization.

14324211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198947389 (or 198947382 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 14324211144 its reverse (44111242341), we get a palindrome (58435453485).

The spelling of 14324211144 in words is "fourteen billion, three hundred twenty-four million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 198947377 397894754 596842131 795789508 1193684262 1591579016 1790526393 2387368524 3581052786 4774737048 7162105572 14324211144