Base | Representation |
---|---|
bin | 100000110101111010010011… |
… | …001101101101101000011100 |
3 | 200221102112121122220100020200 |
4 | 200311322103031231220130 |
5 | 122413020131310310022 |
6 | 1231111501222343500 |
7 | 42265414602253341 |
oct | 4065722315555034 |
9 | 627375548810220 |
10 | 144442220010012 |
11 | 4202966865a671 |
12 | 14249a5328ab90 |
13 | 6279ac5b161c2 |
14 | 279507db667c8 |
15 | 11a74186e7bac |
hex | 835e9336da1c |
144442220010012 has 72 divisors (see below), whose sum is σ = 369610922575440. Its totient is φ = 47555206844160.
The previous prime is 144442220010007. The next prime is 144442220010013. The reversal of 144442220010012 is 210010022244441.
144442220010012 is a `hidden beast` number, since 1 + 4 + 4 + 442 + 2 + 200 + 1 + 0 + 0 + 12 = 666.
144442220010012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1444422200100122 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144442220010013) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5588062 + ... + 17891642.
It is an arithmetic number, because the mean of its divisors is an integer number (5133485035770).
Almost surely, 2144442220010012 is an apocalyptic number.
144442220010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144442220010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184805461287720).
144442220010012 is an abundant number, since it is smaller than the sum of its proper divisors (225168702565428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144442220010012 is a wasteful number, since it uses less digits than its factorization.
144442220010012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12307603 (or 12307598 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 27.
Adding to 144442220010012 its reverse (210010022244441), we get a palindrome (354452242254453).
The spelling of 144442220010012 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, ten thousand, twelve".
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