Base | Representation |
---|---|
bin | 100010000101011110000… |
… | …000101011110011011010 |
3 | 22021220222022102221021000 |
4 | 202011132000223303122 |
5 | 301334100102222132 |
6 | 4552015323325430 |
7 | 331141142004150 |
oct | 42053600536332 |
9 | 8256868387230 |
10 | 2342334414042 |
11 | 823418791a27 |
12 | 319b63080876 |
13 | 13cb5bc797cc |
14 | 815262293d0 |
15 | 40de209187c |
hex | 2215e02bcda |
2342334414042 has 128 divisors (see below), whose sum is σ = 6016110796800. Its totient is φ = 661682952000.
The previous prime is 2342334413999. The next prime is 2342334414053. The reversal of 2342334414042 is 2404144332432.
2342334414042 is a `hidden beast` number, since 2 + 3 + 4 + 233 + 4 + 414 + 0 + 4 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 2342334413988 and 2342334414006.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27407317 + ... + 27492647.
It is an arithmetic number, because the mean of its divisors is an integer number (47000865600).
Almost surely, 22342334414042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2342334414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008055398400).
2342334414042 is an abundant number, since it is smaller than the sum of its proper divisors (3673776382758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342334414042 is a wasteful number, since it uses less digits than its factorization.
2342334414042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86169 (or 86163 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 36.
Adding to 2342334414042 its reverse (2404144332432), we get a palindrome (4746478746474).
The spelling of 2342334414042 in words is "two trillion, three hundred forty-two billion, three hundred thirty-four million, four hundred fourteen thousand, forty-two".
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