Base | Representation |
---|---|
bin | 100111001000110011… |
… | …011011110010011000 |
3 | 11000110200212200202201 |
4 | 213020303123302120 |
5 | 1142031022211044 |
6 | 31145544135544 |
7 | 3015245656423 |
oct | 471063336230 |
9 | 130420780681 |
10 | 42023632024 |
11 | 16905276800 |
12 | 81897675b4 |
13 | 3c693b226a |
14 | 20692589ba |
15 | 115e4b67d4 |
hex | 9c8cdbc98 |
42023632024 has 48 divisors (see below), whose sum is σ = 88622863560. Its totient is φ = 18657408000.
The previous prime is 42023632019. The next prime is 42023632087.
42023632024 is nontrivially palindromic in base 10.
42023632024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 42023631983 and 42023632001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463177 + ... + 546424.
Almost surely, 242023632024 is an apocalyptic number.
42023632024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
42023632024 is an abundant number, since it is smaller than the sum of its proper divisors (46599231536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42023632024 is a wasteful number, since it uses less digits than its factorization.
42023632024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1009672 (or 1009657 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 28.
The spelling of 42023632024 in words is "forty-two billion, twenty-three million, six hundred thirty-two thousand, twenty-four".
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