Base | Representation |
---|---|
bin | 1100010101110000110… |
… | …11110101101010001000 |
3 | 1111112102100212121012011 |
4 | 12022320123311222020 |
5 | 23421323240203144 |
6 | 522441115025304 |
7 | 42430066613506 |
oct | 6127033655210 |
9 | 1445370777164 |
10 | 424001100424 |
11 | 1538aa627390 |
12 | 6a21113b234 |
13 | 30ca1c31505 |
14 | 16743a07676 |
15 | b068a55a34 |
hex | 62b86f5a88 |
424001100424 has 32 divisors (see below), whose sum is σ = 867391043040. Its totient is φ = 192701980800.
The previous prime is 424001100379. The next prime is 424001100427.
424001100424 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 424001100395 and 424001100404.
It is not an unprimeable number, because it can be changed into a prime (424001100427) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 346747 + ... + 983989.
It is an arithmetic number, because the mean of its divisors is an integer number (27105970095).
Almost surely, 2424001100424 is an apocalyptic number.
424001100424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
424001100424 is an abundant number, since it is smaller than the sum of its proper divisors (443389942616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424001100424 is a wasteful number, since it uses less digits than its factorization.
424001100424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 644821 (or 644817 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 22.
It can be divided in two parts, 424001 and 100424, that added together give a palindrome (524425).
The spelling of 424001100424 in words is "four hundred twenty-four billion, one million, one hundred thousand, four hundred twenty-four".
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