Base | Representation |
---|---|
bin | 1111110000010101001… |
… | …00001011000111000000 |
3 | 1220202022010121112102001 |
4 | 13320022210023013000 |
5 | 32332132320243034 |
6 | 1052404542033344 |
7 | 54052662501211 |
oct | 7701244130700 |
9 | 1822263545361 |
10 | 541343134144 |
11 | 1996450a505a |
12 | 88aba878854 |
13 | 3c08255b567 |
14 | 1c2b5d3d408 |
15 | e1354caa14 |
hex | 7e0a90b1c0 |
541343134144 has 56 divisors (see below), whose sum is σ = 1088044194240. Its totient is φ = 267191648256.
The previous prime is 541343134139. The next prime is 541343134169. The reversal of 541343134144 is 441431343145.
It is a super-2 number, since 2×5413431341442 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39515904 + ... + 39529600.
Almost surely, 2541343134144 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 541343134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544022097120).
541343134144 is an abundant number, since it is smaller than the sum of its proper divisors (546701060096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
541343134144 is a wasteful number, since it uses less digits than its factorization.
541343134144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21605 (or 21595 counting only the distinct ones).
The product of its digits is 138240, while the sum is 37.
Adding to 541343134144 its reverse (441431343145), we get a palindrome (982774477289).
The spelling of 541343134144 in words is "five hundred forty-one billion, three hundred forty-three million, one hundred thirty-four thousand, one hundred forty-four".
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