Base | Representation |
---|---|
bin | 10110100110010010… |
… | …01000100010100100 |
3 | 1011022112002210020200 |
4 | 23103021020202210 |
5 | 144321333241234 |
6 | 5323513430500 |
7 | 606436013355 |
oct | 132311104244 |
9 | 34275083220 |
10 | 12132321444 |
11 | 5166419741 |
12 | 242710b430 |
13 | 11b46b3b39 |
14 | 831423d2c |
15 | 4b01abd99 |
hex | 2d32488a4 |
12132321444 has 36 divisors (see below), whose sum is σ = 30686972316. Its totient is φ = 4041580608.
The previous prime is 12132321437. The next prime is 12132321449. The reversal of 12132321444 is 44412323121.
12132321444 is a `hidden beast` number, since 1 + 213 + 2 + 3 + 2 + 1 + 444 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 4374235044 + 7758086400 = 66138^2 + 88080^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 (12132321449) 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, 46399 + ... + 162534.
Almost surely, 212132321444 is an apocalyptic number.
It is an amenable number.
12132321444 is an abundant number, since it is smaller than the sum of its proper divisors (18554650872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12132321444 is a wasteful number, since it uses less digits than its factorization.
12132321444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210556 (or 210551 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
Adding to 12132321444 its reverse (44412323121), we get a palindrome (56544644565).
The spelling of 12132321444 in words is "twelve billion, one hundred thirty-two million, three hundred twenty-one thousand, four hundred forty-four".
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