Base | Representation |
---|---|
bin | 10011010111100110101… |
… | …000010100000011011100 |
3 | 11201020120200002011200200 |
4 | 103113212220110003130 |
5 | 133301404120101134 |
6 | 2455243130023500 |
7 | 165106526133663 |
oct | 23274650240334 |
9 | 4636520064620 |
10 | 1331014222044 |
11 | 473530913261 |
12 | 195b61b77b90 |
13 | 9868b638c10 |
14 | 485c85a3dda |
15 | 24951ade499 |
hex | 135e6a140dc |
1331014222044 has 144 divisors (see below), whose sum is σ = 3650208744000. Its totient is φ = 406507133952.
The previous prime is 1331014222039. The next prime is 1331014222049. The reversal of 1331014222044 is 4402224101331.
1331014222044 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 1 + 422 + 204 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (1331014222039) and next prime (1331014222049).
It is a junction number, because it is equal to n+sod(n) for n = 1331014221999 and 1331014222017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1331014222049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112192857 + ... + 112204719.
Almost surely, 21331014222044 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1331014222044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825104372000).
1331014222044 is an abundant number, since it is smaller than the sum of its proper divisors (2319194521956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331014222044 is a wasteful number, since it uses less digits than its factorization.
1331014222044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13644 (or 13639 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 1331014222044 its reverse (4402224101331), we get a palindrome (5733238323375).
The spelling of 1331014222044 in words is "one trillion, three hundred thirty-one billion, fourteen million, two hundred twenty-two thousand, forty-four".
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