Base | Representation |
---|---|
bin | 10011001101001011100101… |
… | …00011000011101100001000 |
3 | 12112112120012102211011020022 |
4 | 21212211302203003230020 |
5 | 21013431404303324334 |
6 | 225454104042120012 |
7 | 11616221125024400 |
oct | 1146456243035410 |
9 | 175476172734208 |
10 | 42234335214344 |
11 | 125035321aa859 |
12 | 48a13694b0008 |
13 | 1a748b0711a80 |
14 | a6021d147800 |
15 | 4d392a68582e |
hex | 2669728c3b08 |
42234335214344 has 192 divisors, whose sum is σ = 101206832151600. Its totient is φ = 16374139600896.
The previous prime is 42234335214319. The next prime is 42234335214391. The reversal of 42234335214344 is 44341253343224.
It can be written as a sum of positive squares in 8 ways, for example, as 5007131226244 + 37227203988100 = 2237662^2 + 6101410^2 .
It is a junction number, because it is equal to n+sod(n) for n = 42234335214295 and 42234335214304.
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, 50838434 + ... + 51662510.
Almost surely, 242234335214344 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 42234335214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50603416075800).
42234335214344 is an abundant number, since it is smaller than the sum of its proper divisors (58972496937256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42234335214344 is a wasteful number, since it uses less digits than its factorization.
42234335214344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 824312 (or 824301 counting only the distinct ones).
The product of its digits is 3317760, while the sum is 44.
Adding to 42234335214344 its reverse (44341253343224), we get a palindrome (86575588557568).
The spelling of 42234335214344 in words is "forty-two trillion, two hundred thirty-four billion, three hundred thirty-five million, two hundred fourteen thousand, three hundred forty-four".
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