Base | Representation |
---|---|
bin | 100111100000011011… |
… | …100000010000000000 |
3 | 11001111022201212220202 |
4 | 213200123200100000 |
5 | 1143334010341112 |
6 | 31253144024332 |
7 | 3031131103316 |
oct | 474033402000 |
9 | 131438655822 |
10 | 42420012032 |
11 | 16a98a99992 |
12 | 827a4620a8 |
13 | 4000556c48 |
14 | 20a5b5a0b6 |
15 | 11841b26c2 |
hex | 9e06e0400 |
42420012032 has 88 divisors (see below), whose sum is σ = 85778667072. Its totient is φ = 20966400000.
The previous prime is 42420012029. The next prime is 42420012053. The reversal of 42420012032 is 23021002424.
It is a junction number, because it is equal to n+sod(n) for n = 42420011995 and 42420012013.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38810078 + ... + 38811170.
Almost surely, 242420012032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42420012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42889333536).
42420012032 is an abundant number, since it is smaller than the sum of its proper divisors (43358655040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42420012032 is a wasteful number, since it uses less digits than its factorization.
42420012032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1515 (or 1497 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
Adding to 42420012032 its reverse (23021002424), we get a palindrome (65441014456).
The spelling of 42420012032 in words is "forty-two billion, four hundred twenty million, twelve thousand, thirty-two".
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