Base | Representation |
---|---|
bin | 11101001001100100101… |
… | …101100000111101001010 |
3 | 21002111110120121120200220 |
4 | 131021210231200331022 |
5 | 230304414432204002 |
6 | 4132122024410510 |
7 | 264502533400635 |
oct | 35114455407512 |
9 | 7074416546626 |
10 | 2003144413002 |
11 | 70258a887917 |
12 | 284281016a36 |
13 | 116b84b3c795 |
14 | 6cd4a328c1c |
15 | 3718e09a7bc |
hex | 1d264b60f4a |
2003144413002 has 32 divisors (see below), whose sum is σ = 4066372800000. Its totient is φ = 657702223728.
The previous prime is 2003144412977. The next prime is 2003144413003.
2003144413002 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×20031444130023 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (2003144413003) 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, 5739499 + ... + 6078497.
It is an arithmetic number, because the mean of its divisors is an integer number (127074150000).
Almost surely, 22003144413002 is an apocalyptic number.
2003144413002 is an abundant number, since it is smaller than the sum of its proper divisors (2063228386998).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003144413002 is a wasteful number, since it uses less digits than its factorization.
2003144413002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 353770.
The product of its (nonzero) digits is 2304, while the sum is 24.
The spelling of 2003144413002 in words is "two trillion, three billion, one hundred forty-four million, four hundred thirteen thousand, two".
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