Base | Representation |
---|---|
bin | 1100000000000011010… |
… | …00010011001111110000 |
3 | 1110102022222100211000210 |
4 | 12000001220103033300 |
5 | 23223440103432344 |
6 | 513232303144120 |
7 | 41535162613533 |
oct | 6000150231760 |
9 | 1412288324023 |
10 | 412344202224 |
11 | 149968609219 |
12 | 67ab92a5040 |
13 | 2cb64ba9106 |
14 | 15d597bca1a |
15 | aad54a9db9 |
hex | 6001a133f0 |
412344202224 has 80 divisors (see below), whose sum is σ = 1091457642240. Its totient is φ = 134064453120.
The previous prime is 412344202223. The next prime is 412344202247. The reversal of 412344202224 is 422202443214.
It is a happy number.
It is a super-2 number, since 2×4123442022242 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 412344202191 and 412344202200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (412344202223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9343699 + ... + 9387725.
It is an arithmetic number, because the mean of its divisors is an integer number (13643220528).
Almost surely, 2412344202224 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 412344202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545728821120).
412344202224 is an abundant number, since it is smaller than the sum of its proper divisors (679113440016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412344202224 is a wasteful number, since it uses less digits than its factorization.
412344202224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48838 (or 48832 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 30.
Adding to 412344202224 its reverse (422202443214), we get a palindrome (834546645438).
The spelling of 412344202224 in words is "four hundred twelve billion, three hundred forty-four million, two hundred two thousand, two hundred twenty-four".
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