Base | Representation |
---|---|
bin | 10011010010010011011011… |
… | …00000011100001101110000 |
3 | 12120011101111210222012011100 |
4 | 21221021231200130031300 |
5 | 21024322341120121144 |
6 | 230111013155444400 |
7 | 11635021603416021 |
oct | 1151115540341560 |
9 | 176141453865140 |
10 | 42410344301424 |
11 | 125711427a4aa0 |
12 | 490b4aa5b6700 |
13 | 1a88380596a88 |
14 | a68958cb6c48 |
15 | 4d82cc811269 |
hex | 26926d81c370 |
42410344301424 has 480 divisors, whose sum is σ = 132466913092800. Its totient is φ = 12559380480000.
The previous prime is 42410344301417. The next prime is 42410344301431.
42410344301424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 0 + 344 + 301 + 4 + 2 + 4 = 666.
42410344301424 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (42410344301417) and next prime (42410344301431).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4690886344 + ... + 4690895384.
It is an arithmetic number, because the mean of its divisors is an integer number (275972735610).
Almost surely, 242410344301424 is an apocalyptic number.
42410344301424 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 42410344301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66233456546400).
42410344301424 is an abundant number, since it is smaller than the sum of its proper divisors (90056568791376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42410344301424 is a wasteful number, since it uses less digits than its factorization.
42410344301424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9545 (or 9536 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, 4241034 and 4301424, that added together give a palindrome (8542458).
The spelling of 42410344301424 in words is "forty-two trillion, four hundred ten billion, three hundred forty-four million, three hundred one thousand, four hundred twenty-four".
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