Base | Representation |
---|---|
bin | 1001000000011111… |
… | …1110000001001110 |
3 | 20020111220112121010 |
4 | 2100013332001032 |
5 | 14423002230032 |
6 | 1035534150050 |
7 | 113630505264 |
oct | 22007760116 |
9 | 6214815533 |
10 | 2418008142 |
11 | 10309a2340 |
12 | 575952326 |
13 | 2c6c52564 |
14 | 18d1ca434 |
15 | e2431ccc |
hex | 901fe04e |
2418008142 has 32 divisors (see below), whose sum is σ = 5342446080. Its totient is φ = 723453120.
The previous prime is 2418008111. The next prime is 2418008161.
2418008142 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×24180081423 (a number of 29 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226663 + ... + 237090.
It is an arithmetic number, because the mean of its divisors is an integer number (166951440).
Almost surely, 22418008142 is an apocalyptic number.
2418008142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2418008142 is an abundant number, since it is smaller than the sum of its proper divisors (2924437938).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2418008142 is a wasteful number, since it uses less digits than its factorization.
2418008142 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 463848.
The product of its (nonzero) digits is 4096, while the sum is 30.
The square root of 2418008142 is about 49173.2462015678. The cubic root of 2418008142 is about 1342.2062382051.
It can be divided in two parts, 241800 and 8142, that added together give a palindrome (249942).
The spelling of 2418008142 in words is "two billion, four hundred eighteen million, eight thousand, one hundred forty-two".
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