| Base | Representation |
|---|---|
| bin | 10011000110111110011100… |
| … | …00011100111101000011000 |
| 3 | 12111210011212020202022211220 |
| 4 | 21203133032003213220120 |
| 5 | 21001433224230041044 |
| 6 | 225212123105252040 |
| 7 | 11564632402405236 |
| oct | 1143371603475030 |
| 9 | 174704766668756 |
| 10 | 42021122112024 |
| 11 | 1243106aa42290 |
| 12 | 4867b84934020 |
| 13 | 1a5a761b29c73 |
| 14 | a53b942a7956 |
| 15 | 4cd0ec218019 |
| hex | 2637ce0e7a18 |
42021122112024 has 256 divisors, whose sum is σ = 128173015872000. Its totient is φ = 11353856901120.
The previous prime is 42021122112017. The next prime is 42021122112049.
42021122112024 is nontrivially palindromic in base 10.
42021122112024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 42021122111985 and 42021122112003.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23791032 + ... + 25496184.
It is an arithmetic number, because the mean of its divisors is an integer number (500675843250).
Almost surely, 242021122112024 is an apocalyptic number.
42021122112024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42021122112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64086507936000).
42021122112024 is an abundant number, since it is smaller than the sum of its proper divisors (86151893759976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42021122112024 is a wasteful number, since it uses less digits than its factorization.
42021122112024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1705243 (or 1705205 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
It can be divided in two parts, 4202112 and 2112024, that added together give a palindrome (6314136).
The spelling of 42021122112024 in words is "forty-two trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, twenty-four".
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