Base | Representation |
---|---|
bin | 10011001100001100001110… |
… | …10010000010000001100100 |
3 | 12112102022102002110121222100 |
4 | 21212012013102002001210 |
5 | 21012402230233143434 |
6 | 225430321053332100 |
7 | 11613605231562165 |
oct | 1146060722020144 |
9 | 175368362417870 |
10 | 42200323334244 |
11 | 124a00693a8939 |
12 | 4896856a97030 |
13 | 1a71620128a2a |
14 | a5c713d7576c |
15 | 4d2ad973b699 |
hex | 266187482064 |
42200323334244 has 144 divisors (see below), whose sum is σ = 109684100163456. Its totient is φ = 13672349990400.
The previous prime is 42200323334233. The next prime is 42200323334303. The reversal of 42200323334244 is 44243332300224.
42200323334244 is a `hidden beast` number, since 4 + 2 + 200 + 3 + 23 + 3 + 3 + 424 + 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 = 42200323334199 and 42200323334208.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604840249 + ... + 604910015.
It is an arithmetic number, because the mean of its divisors is an integer number (761695140024).
Almost surely, 242200323334244 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 42200323334244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54842050081728).
42200323334244 is an abundant number, since it is smaller than the sum of its proper divisors (67483776829212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42200323334244 is a wasteful number, since it uses less digits than its factorization.
42200323334244 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71346 (or 71341 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 36.
Adding to 42200323334244 its reverse (44243332300224), we get a palindrome (86443655634468).
The spelling of 42200323334244 in words is "forty-two trillion, two hundred billion, three hundred twenty-three million, three hundred thirty-four thousand, two hundred forty-four".
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