Base | Representation |
---|---|
bin | 11101011101011000011… |
… | …111000110011011001010 |
3 | 21011112100220100212201010 |
4 | 131131120133012123022 |
5 | 231132000010103302 |
6 | 4150000352504350 |
7 | 266154604210032 |
oct | 35353037063312 |
9 | 7145326325633 |
10 | 2024414144202 |
11 | 71060500a76a |
12 | 28841824b0b6 |
13 | 118b945b4c48 |
14 | 6dda70d28c2 |
15 | 379d652816c |
hex | 1d7587c66ca |
2024414144202 has 48 divisors (see below), whose sum is σ = 4157599838400. Its totient is φ = 657127481472.
The previous prime is 2024414144191. The next prime is 2024414144231.
2024414144202 is nontrivially palindromic in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 2024414144202.
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 23 ways as a sum of consecutive naturals, for example, 2253778 + ... + 3021314.
It is an arithmetic number, because the mean of its divisors is an integer number (86616663300).
Almost surely, 22024414144202 is an apocalyptic number.
2024414144202 is an abundant number, since it is smaller than the sum of its proper divisors (2133185694198).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024414144202 is a wasteful number, since it uses less digits than its factorization.
2024414144202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 767835 (or 767788 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 30.
The spelling of 2024414144202 in words is "two trillion, twenty-four billion, four hundred fourteen million, one hundred forty-four thousand, two hundred two".
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