Base | Representation |
---|---|
bin | 10010101101010110… |
… | …10111100110100000 |
3 | 221220222211101100112 |
4 | 21112223113212200 |
5 | 131032300102112 |
6 | 4340400510452 |
7 | 503621546516 |
oct | 112653274640 |
9 | 27828741315 |
10 | 10044144032 |
11 | 429472608a |
12 | 1b4391b428 |
13 | c40ba52c0 |
14 | 6b3d744b6 |
15 | 3dbbcca22 |
hex | 256ad79a0 |
10044144032 has 48 divisors (see below), whose sum is σ = 21304194912. Its totient is φ = 4633870080.
The previous prime is 10044143981. The next prime is 10044144041. The reversal of 10044144032 is 23044144001.
It is a happy number.
10044144032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×100441440322 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10044143989 and 10044144007.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1948883 + ... + 1954029.
It is an arithmetic number, because the mean of its divisors is an integer number (443837394).
Almost surely, 210044144032 is an apocalyptic number.
It is an amenable number.
10044144032 is an abundant number, since it is smaller than the sum of its proper divisors (11260050880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10044144032 is a wasteful number, since it uses less digits than its factorization.
10044144032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9861 (or 9853 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
Adding to 10044144032 its reverse (23044144001), we get a palindrome (33088288033).
The spelling of 10044144032 in words is "ten billion, forty-four million, one hundred forty-four thousand, thirty-two".
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