Base | Representation |
---|---|
bin | 1010000010100… |
… | …1110001000010 |
3 | 2221020121201000 |
4 | 2200221301002 |
5 | 41240122424 |
6 | 4102352430 |
7 | 1020651450 |
oct | 240516102 |
9 | 87217630 |
10 | 42114114 |
11 | 21854a59 |
12 | 1212b716 |
13 | 8956bc3 |
14 | 58439d0 |
15 | 3a6d3c9 |
hex | 2829c42 |
42114114 has 64 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 11748240.
The previous prime is 42114091. The next prime is 42114131. The reversal of 42114114 is 41141124.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14959 + ... + 17549.
It is an arithmetic number, because the mean of its divisors is an integer number (1710720).
Almost surely, 242114114 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42114114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).
42114114 is an abundant number, since it is smaller than the sum of its proper divisors (67371966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42114114 is a wasteful number, since it uses less digits than its factorization.
42114114 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2652 (or 2646 counting only the distinct ones).
The product of its digits is 128, while the sum is 18.
The square root of 42114114 is about 6489.5388125814. The cubic root of 42114114 is about 347.9171919498.
Adding to 42114114 its reverse (41141124), we get a palindrome (83255238).
It can be divided in two parts, 421 and 14114, that added together give a triangular number (14535 = T170).
The spelling of 42114114 in words is "forty-two million, one hundred fourteen thousand, one hundred fourteen".
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