Base | Representation |
---|---|
bin | 1100010100100000001… |
… | …10100001010010011100 |
3 | 1111110200012120211201100 |
4 | 12022100012201102130 |
5 | 23413432023021244 |
6 | 522250023313100 |
7 | 42404242141125 |
oct | 6122006412234 |
9 | 1443605524640 |
10 | 423324423324 |
11 | 153592667910 |
12 | 6a0625ab790 |
13 | 30bc4999b6a |
14 | 166bbbc104c |
15 | b02943db69 |
hex | 62901a149c |
423324423324 has 144 divisors (see below), whose sum is σ = 1180129073760. Its totient is φ = 126878400000.
The previous prime is 423324423323. The next prime is 423324423359.
423324423324 is a `hidden beast` number, since 4 + 2 + 3 + 324 + 4 + 2 + 3 + 324 = 666.
423324423324 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 nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (423324423323) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42750774 + ... + 42760674.
It is an arithmetic number, because the mean of its divisors is an integer number (8195340790).
Almost surely, 2423324423324 is an apocalyptic number.
423324423324 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 423324423324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590064536880).
423324423324 is an abundant number, since it is smaller than the sum of its proper divisors (756804650436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423324423324 is a wasteful number, since it uses less digits than its factorization.
423324423324 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11092 (or 11087 counting only the distinct ones).
The product of its digits is 331776, while the sum is 36.
It can be divided in two parts, 423324 and 423324, that added together give a palindrome (846648).
The spelling of 423324423324 in words is "four hundred twenty-three billion, three hundred twenty-four million, four hundred twenty-three thousand, three hundred twenty-four".
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