Base | Representation |
---|---|
bin | 10011000111000001001110… |
… | …11111100111000101001000 |
3 | 12111210022201211020010121100 |
4 | 21203200213133213011020 |
5 | 21001444312342401044 |
6 | 225212532030341400 |
7 | 11565014522466042 |
oct | 1143404737470510 |
9 | 174708654203540 |
10 | 42022622622024 |
11 | 1243176aa406a0 |
12 | 486832335a860 |
13 | 1a5a94096a3c5 |
14 | a53c976a0a92 |
15 | 4cd188d13869 |
hex | 2638277e7148 |
42022622622024 has 384 divisors, whose sum is σ = 128263897457280. Its totient is φ = 12317208883200.
The previous prime is 42022622622023. The next prime is 42022622622037.
42022622622024 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 6 + 2 + 2 + 622 + 0 + 24 = 666.
42022622622024 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 42022622622024.
It is not an unprimeable number, because it can be changed into a prime (42022622622023) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4622437719 + ... + 4622446809.
It is an arithmetic number, because the mean of its divisors is an integer number (334020566295).
Almost surely, 242022622622024 is an apocalyptic number.
42022622622024 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 42022622622024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64131948728640).
42022622622024 is an abundant number, since it is smaller than the sum of its proper divisors (86241274835256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42022622622024 is a wasteful number, since it uses less digits than its factorization.
42022622622024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10061 (or 10054 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
It can be divided in two parts, 4202262 and 2622024, that added together give a palindrome (6824286).
The spelling of 42022622622024 in words is "forty-two trillion, twenty-two billion, six hundred twenty-two million, six hundred twenty-two thousand, twenty-four".
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