Base | Representation |
---|---|
bin | 110000001101001001110110… |
… | …0001001110000010101010000 |
3 | 2001121022221112200111102020200 |
4 | 1200122103230021300111100 |
5 | 421034122100201414134 |
6 | 4101452124235535200 |
7 | 155212312434162156 |
oct | 14032235411602520 |
9 | 2047287480442220 |
10 | 424020313310544 |
11 | 11311900674a155 |
12 | 3b681b88bba500 |
13 | 15279c36bb32a2 |
14 | 769c99a9673d6 |
15 | 3404b1c478499 |
hex | 181a4ec270550 |
424020313310544 has 240 divisors, whose sum is σ = 1193245668014400. Its totient is φ = 140559013324800.
The previous prime is 424020313310533. The next prime is 424020313310549. The reversal of 424020313310544 is 445013313020424.
424020313310544 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 20 + 313 + 310 + 5 + 4 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 424020313310499 and 424020313310508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424020313310549) 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 47 ways as a sum of consecutive naturals, for example, 100933183644 + ... + 100933187844.
It is an arithmetic number, because the mean of its divisors is an integer number (4971856950060).
Almost surely, 2424020313310544 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424020313310544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596622834007200).
424020313310544 is an abundant number, since it is smaller than the sum of its proper divisors (769225354703856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424020313310544 is a wasteful number, since it uses less digits than its factorization.
424020313310544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9178 (or 9169 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
Adding to 424020313310544 its reverse (445013313020424), we get a palindrome (869033626330968).
The spelling of 424020313310544 in words is "four hundred twenty-four trillion, twenty billion, three hundred thirteen million, three hundred ten thousand, five hundred forty-four".
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