Base | Representation |
---|---|
bin | 100111010011010100… |
… | …101000010011111010 |
3 | 11000220222221111212120 |
4 | 213103110220103322 |
5 | 1142411211344414 |
6 | 31215250422110 |
7 | 3022520661456 |
oct | 472324502372 |
9 | 130828844776 |
10 | 42200106234 |
11 | 16995950460 |
12 | 8218891936 |
13 | 3c96b20380 |
14 | 2084875666 |
15 | 116ec252a9 |
hex | 9d35284fa |
42200106234 has 128 divisors (see below), whose sum is σ = 100551580416. Its totient is φ = 11639040000.
The previous prime is 42200106211. The next prime is 42200106239. The reversal of 42200106234 is 43260100224.
42200106234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (42200106239) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24350032 + ... + 24351764.
It is an arithmetic number, because the mean of its divisors is an integer number (785559222).
Almost surely, 242200106234 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42200106234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50275790208).
42200106234 is an abundant number, since it is smaller than the sum of its proper divisors (58351474182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42200106234 is a wasteful number, since it uses less digits than its factorization.
42200106234 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2144.
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 42200106234 its reverse (43260100224), we get a palindrome (85460206458).
The spelling of 42200106234 in words is "forty-two billion, two hundred million, one hundred six thousand, two hundred thirty-four".
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