Base | Representation |
---|---|
bin | 100111010110000000… |
… | …000100010000000000 |
3 | 11001001010111202102100 |
4 | 213112000010100000 |
5 | 1143004213003141 |
6 | 31223533550400 |
7 | 3023604656124 |
oct | 472600042000 |
9 | 131033452370 |
10 | 42245047296 |
11 | 16a09256331 |
12 | 822b945400 |
13 | 3ca3226c0a |
14 | 208a813584 |
15 | 1173b510b6 |
hex | 9d6004400 |
42245047296 has 99 divisors (see below), whose sum is σ = 122038658053. Its totient is φ = 14075105280.
The previous prime is 42245047283. The next prime is 42245047297. The reversal of 42245047296 is 69274054224.
The square root of 42245047296 is 205536.
It is a perfect power (a square), and thus also a powerful number.
42245047296 is a `hidden beast` number, since 42 + 2 + 4 + 50 + 472 + 96 = 666.
It can be written as a sum of positive squares in only one way, i.e., 40294941696 + 1950105600 = 200736^2 + 44160^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (42245047297) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19730386 + ... + 19732526.
Almost surely, 242245047296 is an apocalyptic number.
42245047296 is the 205536-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42245047296
42245047296 is an abundant number, since it is smaller than the sum of its proper divisors (79793610757).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42245047296 is an frugal number, since it uses more digits than its factorization.
42245047296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4308 (or 2146 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 42245047296 in words is "forty-two billion, two hundred forty-five million, forty-seven thousand, two hundred ninety-six".
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