Base | Representation |
---|---|
bin | 1010000100000110011010… |
… | …01101101111101011100100 |
3 | 2220100201021102021002111200 |
4 | 11002003031031233223210 |
5 | 10400044010244111234 |
6 | 115022521004402500 |
7 | 4442630434625511 |
oct | 502031515575344 |
9 | 86321242232450 |
10 | 22131114441444 |
11 | 7062831166338 |
12 | 25951a9546430 |
13 | c46c55588928 |
14 | 56721a1d4308 |
15 | 285a33961d99 |
hex | 1420cd36fae4 |
22131114441444 has 36 divisors (see below), whose sum is σ = 56011689590220. Its totient is φ = 7367919425280.
The previous prime is 22131114441379. The next prime is 22131114441451. The reversal of 22131114441444 is 44414441113122.
22131114441444 is a `hidden beast` number, since 2 + 2 + 1 + 31 + 1 + 144 + 41 + 444 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 21212656718400 + 918457723044 = 4605720^2 + 958362^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 = 22131114441399 and 22131114441408.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379917217 + ... + 379975464.
It is an arithmetic number, because the mean of its divisors is an integer number (1555880266395).
Almost surely, 222131114441444 is an apocalyptic number.
It is an amenable number.
22131114441444 is an abundant number, since it is smaller than the sum of its proper divisors (33880575148776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22131114441444 is a wasteful number, since it uses less digits than its factorization.
22131114441444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 759893500 (or 759893495 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
Adding to 22131114441444 its reverse (44414441113122), we get a palindrome (66545555554566).
The spelling of 22131114441444 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred fourteen million, four hundred forty-one thousand, four hundred forty-four".
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