Base | Representation |
---|---|
bin | 100000101111111110010100… |
… | …110000011100110000101010 |
3 | 200212222112111201102120122110 |
4 | 200233332110300130300222 |
5 | 122334324042321000132 |
6 | 1230200224204103150 |
7 | 42224062225351035 |
oct | 4057762460346052 |
9 | 625875451376573 |
10 | 144034224000042 |
11 | 41991631535672 |
12 | 141a296a234ab6 |
13 | 624a4a4a30c1c |
14 | 277d417a5801c |
15 | 119b9d9d411cc |
hex | 82ff94c1cc2a |
144034224000042 has 96 divisors (see below), whose sum is σ = 297188656128000. Its totient is φ = 46536721463232.
The previous prime is 144034223999989. The next prime is 144034224000061. The reversal of 144034224000042 is 240000422430441.
It is a junction number, because it is equal to n+sod(n) for n = 144034223999973 and 144034224000009.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2702354709 + ... + 2702408007.
It is an arithmetic number, because the mean of its divisors is an integer number (3095715168000).
Almost surely, 2144034224000042 is an apocalyptic number.
144034224000042 is an abundant number, since it is smaller than the sum of its proper divisors (153154432127958).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144034224000042 is a wasteful number, since it uses less digits than its factorization.
144034224000042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54620 (or 54583 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 30.
Adding to 144034224000042 its reverse (240000422430441), we get a palindrome (384034646430483).
The spelling of 144034224000042 in words is "one hundred forty-four trillion, thirty-four billion, two hundred twenty-four million, forty-two", and thus it is an aban number.
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