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14332132144 = 241184299661
BaseRepresentation
bin11010101100100001…
…01111101100110000
31100222211102202020001
431112100233230300
5213323011212034
610330055155344
71015110053551
oct152620575460
940884382201
1014332132144
11609512a010
12293b975b54
13147537a285
1499d652328
1558d38ca14
hex35642fb30

14332132144 has 40 divisors (see below), whose sum is σ = 30299645520. Its totient is φ = 6513158400.

The previous prime is 14332132123. The next prime is 14332132187. The reversal of 14332132144 is 44123123341.

It is a happy number.

14332132144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1478674 + ... + 1488334.

It is an arithmetic number, because the mean of its divisors is an integer number (757491138).

Almost surely, 214332132144 is an apocalyptic number.

It is an amenable number.

14332132144 is an abundant number, since it is smaller than the sum of its proper divisors (15967513376).

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

14332132144 is a wasteful number, since it uses less digits than its factorization.

14332132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18103 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 14332132144 its reverse (44123123341), we get a palindrome (58455255485).

The spelling of 14332132144 in words is "fourteen billion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 8429 9661 16858 19322 33716 38644 67432 77288 92719 106271 134864 154576 185438 212542 370876 425084 741752 850168 1483504 1700336 81432569 162865138 325730276 651460552 895758259 1302921104 1791516518 3583033036 7166066072 14332132144