Base | Representation |
---|---|
bin | 1000011000100011111… |
… | …0111010010101110010 |
3 | 111202202211211111101000 |
4 | 2012020332322111302 |
5 | 4324434210122114 |
6 | 150100100022430 |
7 | 13256151524544 |
oct | 2061076722562 |
9 | 452684744330 |
10 | 144032114034 |
11 | 560a1412096 |
12 | 23ab8091a16 |
13 | 107750489a3 |
14 | 6d84d41694 |
15 | 3b2ebdbe09 |
hex | 2188fba572 |
144032114034 has 64 divisors (see below), whose sum is σ = 324753321600. Its totient is φ = 47309619456.
The previous prime is 144032114029. The next prime is 144032114047. The reversal of 144032114034 is 430411230441.
144032114034 is a `hidden beast` number, since 1 + 4 + 40 + 3 + 211 + 403 + 4 = 666.
144032114034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 144032113989 and 144032114007.
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 31 ways as a sum of consecutive naturals, for example, 4434337 + ... + 4466699.
It is an arithmetic number, because the mean of its divisors is an integer number (5074270650).
Almost surely, 2144032114034 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144032114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162376660800).
144032114034 is an abundant number, since it is smaller than the sum of its proper divisors (180721207566).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144032114034 is a wasteful number, since it uses less digits than its factorization.
144032114034 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33576 (or 33570 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 144032114034 its reverse (430411230441), we get a palindrome (574443344475).
The spelling of 144032114034 in words is "one hundred forty-four billion, thirty-two million, one hundred fourteen thousand, thirty-four".
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