Base | Representation |
---|---|
bin | 110000010000000110000000… |
… | …1101110001110111010010100 |
3 | 2001122202120120022212211211100 |
4 | 1200200030001232032322110 |
5 | 421112232133420322330 |
6 | 4102401513441310100 |
7 | 155253436225324356 |
oct | 14040140156167224 |
9 | 2048676508784740 |
10 | 424424402120340 |
11 | 1132644183038a6 |
12 | 3b728361635330 |
13 | 152a90846692bb |
14 | 76b4371b9b0d6 |
15 | 34103bccdb060 |
hex | 1820301b8ee94 |
424424402120340 has 144 divisors (see below), whose sum is σ = 1308659757664896. Its totient is φ = 111313048953600.
The previous prime is 424424402120339. The next prime is 424424402120413. The reversal of 424424402120340 is 43021204424424.
424424402120340 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 2 + 4 + 402 + 1 + 203 + 40 = 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 = 424424402120295 and 424424402120304.
It is a congruent number.
It is an unprimeable number.
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, 105665385 + ... + 109608495.
It is an arithmetic number, because the mean of its divisors is an integer number (9087914983784).
Almost surely, 2424424402120340 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 424424402120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654329878832448).
424424402120340 is an abundant number, since it is smaller than the sum of its proper divisors (884235355544556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424424402120340 is a wasteful number, since it uses less digits than its factorization.
424424402120340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3952990 (or 3952985 counting only the distinct ones).
The product of its (nonzero) digits is 196608, while the sum is 36.
Adding to 424424402120340 its reverse (43021204424424), we get a palindrome (467445606544764).
The spelling of 424424402120340 in words is "four hundred twenty-four trillion, four hundred twenty-four billion, four hundred two million, one hundred twenty thousand, three hundred forty".
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