Base | Representation |
---|---|
bin | 11000011101011000… |
… | …00001000001100100 |
3 | 1020220010220020121200 |
4 | 30032230001001210 |
5 | 203343104241234 |
6 | 10011001442500 |
7 | 643256250663 |
oct | 141654010144 |
9 | 36803806550 |
10 | 13131321444 |
11 | 562931a17a |
12 | 26657a0430 |
13 | 1313660ab7 |
14 | 8c7d90dda |
15 | 51cc41d99 |
hex | 30eb01064 |
13131321444 has 18 divisors (see below), whose sum is σ = 33193062630. Its totient is φ = 4377107136.
The previous prime is 13131321431. The next prime is 13131321449. The reversal of 13131321444 is 44412313131.
13131321444 is a `hidden beast` number, since 131 + 313 + 214 + 4 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 12561926400 + 569395044 = 112080^2 + 23862^2 .
It is a tau number, because it is divible by the number of its divisors (18).
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 (13131321449) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182379429 + ... + 182379500.
It is an arithmetic number, because the mean of its divisors is an integer number (1844059035).
Almost surely, 213131321444 is an apocalyptic number.
It is an amenable number.
13131321444 is an abundant number, since it is smaller than the sum of its proper divisors (20061741186).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13131321444 is a wasteful number, since it uses less digits than its factorization.
13131321444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 364758939 (or 364758934 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
Adding to 13131321444 its reverse (44412313131), we get a palindrome (57543634575).
The spelling of 13131321444 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, four hundred forty-four".
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