Base | Representation |
---|---|
bin | 100000011110011100110… |
… | …101110101001111100000 |
3 | 21220100110100202012022200 |
4 | 200132130311311033200 |
5 | 243031030130242112 |
6 | 4425123203333200 |
7 | 320144041525245 |
oct | 40363465651740 |
9 | 7810410665280 |
10 | 2231719384032 |
11 | 790515458756 |
12 | 300632381200 |
13 | 1325b1220b28 |
14 | 7a0314a95cc |
15 | 3d0baeaccdc |
hex | 2079cd753e0 |
2231719384032 has 72 divisors (see below), whose sum is σ = 6551176282560. Its totient is φ = 719909475840.
The previous prime is 2231719384021. The next prime is 2231719384091. The reversal of 2231719384032 is 2304839171322.
2231719384032 is a `hidden beast` number, since 2 + 231 + 7 + 1 + 9 + 3 + 8 + 403 + 2 = 666.
2231719384032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×22317193840323 (a number of 38 digits) contains 333 as substring.
It is a congruent number.
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, 124975357 + ... + 124993212.
It is an arithmetic number, because the mean of its divisors is an integer number (90988559480).
Almost surely, 22231719384032 is an apocalyptic number.
It is an amenable number.
2231719384032 is an abundant number, since it is smaller than the sum of its proper divisors (4319456898528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231719384032 is a wasteful number, since it uses less digits than its factorization.
2231719384032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249968616 (or 249968605 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The spelling of 2231719384032 in words is "two trillion, two hundred thirty-one billion, seven hundred nineteen million, three hundred eighty-four thousand, thirty-two".
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