Base | Representation |
---|---|
bin | 110000000000000000000000… |
… | …0000000000000000000000000 |
3 | 2001100221010011122002010012120 |
4 | 1200000000000000000000000 |
5 | 420320012112024102414 |
6 | 4053545421225524240 |
7 | 154634562323511465 |
oct | 14000000000000000 |
9 | 2040833148063176 |
10 | 422212465065984 |
11 | 11259133452323a |
12 | 3b42b730343680 |
13 | 151786069bcbb8 |
14 | 7639299b1566c |
15 | 33c2aad8ee2a9 |
hex | 1800000000000 |
422212465065984 has 96 divisors (see below), whose sum is σ = 1125899906842620. Its totient is φ = 140737488355328.
The previous prime is 422212465065953. The next prime is 422212465066001. The reversal of 422212465065984 is 489560564212224.
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)44.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nialpdrome in base 2.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 422212465065984 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 140737488355327 + 140737488355328 + 140737488355329.
Almost surely, 2422212465065984 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 422212465065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562949953421310).
422212465065984 is an abundant number, since it is smaller than the sum of its proper divisors (703687441776636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422212465065984 is an frugal number, since it uses more digits than its factorization.
422212465065984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 97 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 66355200, while the sum is 60.
The spelling of 422212465065984 in words is "four hundred twenty-two trillion, two hundred twelve billion, four hundred sixty-five million, sixty-five thousand, nine hundred eighty-four".
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