Base | Representation |
---|---|
bin | 1010001001101101111101… |
… | …00000110100110110010000 |
3 | 2221001011111210101011122100 |
4 | 11010312332200310312100 |
5 | 10411224320134012144 |
6 | 115251322520240400 |
7 | 4462603014153306 |
oct | 504667640646620 |
9 | 87034453334570 |
10 | 22324141313424 |
11 | 7127684867215 |
12 | 2606699910100 |
13 | c5c208020142 |
14 | 5726cc152276 |
15 | 28aa7eb29269 |
hex | 144dbe834d90 |
22324141313424 has 120 divisors (see below), whose sum is σ = 62611423998552. Its totient is φ = 7425332674560.
The previous prime is 22324141313423. The next prime is 22324141313429. The reversal of 22324141313424 is 42431314142322.
22324141313424 is a `hidden beast` number, since 2 + 2 + 3 + 241 + 41 + 31 + 342 + 4 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3387440250000 + 18936701063424 = 1840500^2 + 4351632^2 .
It is a super-3 number, since 3×223241413134243 (a number of 41 digits) contains 333 as substring.
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 not an unprimeable number, because it can be changed into a prime (22324141313423) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184471624 + ... + 184592600.
Almost surely, 222324141313424 is an apocalyptic number.
22324141313424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
22324141313424 is an abundant number, since it is smaller than the sum of its proper divisors (40287282685128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22324141313424 is a wasteful number, since it uses less digits than its factorization.
22324141313424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123745 (or 123736 counting only the distinct ones).
The product of its digits is 110592, while the sum is 36.
Adding to 22324141313424 its reverse (42431314142322), we get a palindrome (64755455455746).
The spelling of 22324141313424 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty-one million, three hundred thirteen thousand, four hundred twenty-four".
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