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14422311432 = 2332732127361
BaseRepresentation
bin11010110111010001…
…10000001000001000
31101020010010022221200
431123220300020020
5214014102431212
610343040104200
71020253424124
oct153350601010
941203108850
1014422311432
116131023051
122966005060
13148ac629b9
149ab608584
155962526dc
hex35ba30208

14422311432 has 48 divisors (see below), whose sum is σ = 39067189980. Its totient is φ = 4806604800.

The previous prime is 14422311419. The next prime is 14422311433. The reversal of 14422311432 is 23411322441.

14422311432 is a `hidden beast` number, since 1 + 4 + 4 + 223 + 1 + 1 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12901779396 + 1520532036 = 113586^2 + 38994^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14422311396 and 14422311405.

It is not an unprimeable number, because it can be changed into a prime (14422311433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513432 + ... + 540792.

Almost surely, 214422311432 is an apocalyptic number.

14422311432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14422311432 is an abundant number, since it is smaller than the sum of its proper divisors (24644878548).

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

14422311432 is a wasteful number, since it uses less digits than its factorization.

14422311432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34694 (or 34687 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14422311432 its reverse (23411322441), we get a palindrome (37833633873).

The spelling of 14422311432 in words is "fourteen billion, four hundred twenty-two million, three hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7321 14642 21963 27361 29284 43926 54722 58568 65889 82083 87852 109444 131778 164166 175704 218888 246249 263556 328332 492498 527112 656664 984996 1969992 200309881 400619762 600929643 801239524 1201859286 1602479048 1802788929 2403718572 3605577858 4807437144 7211155716 14422311432