Base | Representation |
---|---|
bin | 1011001011100001… |
… | …1101001011000000 |
3 | 21202011011220121111 |
4 | 2302320131023000 |
5 | 22121243102000 |
6 | 1213444533104 |
7 | 134241205651 |
oct | 26270351300 |
9 | 7664156544 |
10 | 3001144000 |
11 | 13000819a8 |
12 | 6b90b1194 |
13 | 38a9c516a |
14 | 206823528 |
15 | 12871ccba |
hex | b2e1d2c0 |
3001144000 has 112 divisors (see below), whose sum is σ = 7633959840. Its totient is φ = 1167897600.
The previous prime is 3001143949. The next prime is 3001144001. The reversal of 3001144000 is 4411003.
It is not an unprimeable number, because it can be changed into a prime (3001144001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290931 + ... + 301069.
Almost surely, 23001144000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3001144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816979920).
3001144000 is an abundant number, since it is smaller than the sum of its proper divisors (4632815840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001144000 is a wasteful number, since it uses less digits than its factorization.
3001144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10203 (or 10183 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 3001144000 is about 54782.6979985469. The cubic root of 3001144000 is about 1442.4328729550.
Adding to 3001144000 its reverse (4411003), we get a palindrome (3005555003).
The spelling of 3001144000 in words is "three billion, one million, one hundred forty-four thousand".
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