Base | Representation |
---|---|
bin | 111011101011000… |
… | …100001001100110 |
3 | 2120202211102200000 |
4 | 323223010021212 |
5 | 4022243114214 |
6 | 243202002130 |
7 | 33544406616 |
oct | 7353041146 |
9 | 2522742600 |
10 | 1001144934 |
11 | 474136009 |
12 | 23b346346 |
13 | 12c54b36a |
14 | 96d68a46 |
15 | 5cd5a809 |
hex | 3bac4266 |
1001144934 has 48 divisors (see below), whose sum is σ = 2253119232. Its totient is φ = 333176328.
The previous prime is 1001144933. The next prime is 1001144953. The reversal of 1001144934 is 4394411001.
1001144934 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 = 1001144898 and 1001144907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001144933) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398727 + ... + 401229.
It is an arithmetic number, because the mean of its divisors is an integer number (46939984).
Almost surely, 21001144934 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001144934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126559616).
1001144934 is an abundant number, since it is smaller than the sum of its proper divisors (1251974298).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001144934 is an equidigital number, since it uses as much as digits as its factorization.
1001144934 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3343 (or 3331 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 1001144934 is about 31640.8744190169. The cubic root of 1001144934 is about 1000.3814991066.
Adding to 1001144934 its reverse (4394411001), we get a palindrome (5395555935).
It can be divided in two parts, 10011 and 44934, that added together give a palindrome (54945).
The spelling of 1001144934 in words is "one billion, one million, one hundred forty-four thousand, nine hundred thirty-four".
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