Base | Representation |
---|---|
bin | 1000011000110101010… |
… | …1100011110110101100 |
3 | 111202221221021121202011 |
4 | 2012031111203312230 |
5 | 4330111410110413 |
6 | 150111225411004 |
7 | 13261026436060 |
oct | 2061525436654 |
9 | 452857247664 |
10 | 144105160108 |
11 | 56129673748 |
12 | 23b18639a64 |
13 | 10787212b10 |
14 | 6d90917aa0 |
15 | 3b3631a33d |
hex | 218d563dac |
144105160108 has 144 divisors (see below), whose sum is σ = 341088592320. Its totient is φ = 51803910144.
The previous prime is 144105160093. The next prime is 144105160141. The reversal of 144105160108 is 801061501441.
144105160108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 144105160108.
It is an unprimeable number.
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, 3027066 + ... + 3074302.
It is an arithmetic number, because the mean of its divisors is an integer number (2368670780).
Almost surely, 2144105160108 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 144105160108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170544296160).
144105160108 is an abundant number, since it is smaller than the sum of its proper divisors (196983432212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144105160108 is a wasteful number, since it uses less digits than its factorization.
144105160108 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47324 (or 47305 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 31.
Adding to 144105160108 its reverse (801061501441), we get a palindrome (945166661549).
The spelling of 144105160108 in words is "one hundred forty-four billion, one hundred five million, one hundred sixty thousand, one hundred eight".
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