Base | Representation |
---|---|
bin | 10011001010001011010101… |
… | …00000100111001011000100 |
3 | 12112011200210021022221102122 |
4 | 21211011222200213023010 |
5 | 21010234014002443140 |
6 | 225334434142225112 |
7 | 11605605312621104 |
oct | 1145055240471304 |
9 | 175150707287378 |
10 | 42131121140420 |
11 | 12473787589414 |
12 | 4885363285198 |
13 | 1a67c42076850 |
14 | a5922b2b7204 |
15 | 4d0dd91bcab5 |
hex | 26516a8272c4 |
42131121140420 has 96 divisors (see below), whose sum is σ = 95645482732800. Its totient is φ = 15496635815424.
The previous prime is 42131121140413. The next prime is 42131121140447. The reversal of 42131121140420 is 2404112113124.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 42131121140420.
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 31 ways as a sum of consecutive naturals, for example, 806172251 + ... + 806224509.
It is an arithmetic number, because the mean of its divisors is an integer number (996307111800).
Almost surely, 242131121140420 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 42131121140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822741366400).
42131121140420 is an abundant number, since it is smaller than the sum of its proper divisors (53514361592380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42131121140420 is a wasteful number, since it uses less digits than its factorization.
42131121140420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64077 (or 64075 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 26.
Adding to 42131121140420 its reverse (2404112113124), we get a palindrome (44535233253544).
The spelling of 42131121140420 in words is "forty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred forty thousand, four hundred twenty".
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