Base | Representation |
---|---|
bin | 1000011001101111111… |
… | …1100001101000010010 |
3 | 111210121001221201101100 |
4 | 2012123333201220102 |
5 | 4331112331321231 |
6 | 150151451445230 |
7 | 13300103420100 |
oct | 2063377415022 |
9 | 453531851340 |
10 | 144351042066 |
11 | 56245444480 |
12 | 23b86a56816 |
13 | 107c6142cba |
14 | 6db5440c70 |
15 | 3b4cbd91e6 |
hex | 219bfe1a12 |
144351042066 has 144 divisors (see below), whose sum is σ = 399530933568. Its totient is φ = 37245096000.
The previous prime is 144351042041. The next prime is 144351042119. The reversal of 144351042066 is 660240153441.
144351042066 is a `hidden beast` number, since 1 + 4 + 43 + 510 + 42 + 0 + 66 = 666.
144351042066 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 144351042066.
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 71 ways as a sum of consecutive naturals, for example, 1415736 + ... + 1514268.
It is an arithmetic number, because the mean of its divisors is an integer number (2774520372).
Almost surely, 2144351042066 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144351042066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199765466784).
144351042066 is an abundant number, since it is smaller than the sum of its proper divisors (255179891502).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144351042066 is a wasteful number, since it uses less digits than its factorization.
144351042066 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98717 (or 98707 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
It can be divided in two parts, 14435 and 1042066, that added together give a palindrome (1056501).
The spelling of 144351042066 in words is "one hundred forty-four billion, three hundred fifty-one million, forty-two thousand, sixty-six".
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