Base | Representation |
---|---|
bin | 100110010100011110… |
… | …010110000100010000 |
3 | 10221012111212112102211 |
4 | 212110132112010100 |
5 | 1133231244011321 |
6 | 30522502521504 |
7 | 2654425403014 |
oct | 462436260420 |
9 | 127174775384 |
10 | 41145688336 |
11 | 164a4739705 |
12 | 7b83736294 |
13 | 3b5953bc5c |
14 | 1dc4800544 |
15 | 110c3950e1 |
hex | 994796110 |
41145688336 has 135 divisors (see below), whose sum is σ = 89949611439. Its totient is φ = 18226750464.
The previous prime is 41145688313. The next prime is 41145688343. The reversal of 41145688336 is 63388654114.
The square root of 41145688336 is 202844.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 277022736 + 40868665600 = 16644^2 + 202160^2 .
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 41145688336.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 262074370 + ... + 262074526.
Almost surely, 241145688336 is an apocalyptic number.
41145688336 is the 202844-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41145688336
41145688336 is an abundant number, since it is smaller than the sum of its proper divisors (48803923103).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41145688336 is a wasteful number, since it uses less digits than its factorization.
41145688336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 394 (or 195 counting only the distinct ones).
The product of its digits is 1658880, while the sum is 49.
Multiplying 41145688336 by its sum of digits (49), we get a square (2016138728464 = 14199082).
The spelling of 41145688336 in words is "forty-one billion, one hundred forty-five million, six hundred eighty-eight thousand, three hundred thirty-six".
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