Base | Representation |
---|---|
bin | 100110101101111011… |
… | …010011011100000000 |
3 | 10222022021101111020100 |
4 | 212231323103130000 |
5 | 1140120103211034 |
6 | 31033115242400 |
7 | 3001132130400 |
oct | 465573233400 |
9 | 128267344210 |
10 | 41572710144 |
11 | 166a3790499 |
12 | 8082749400 |
13 | 3bc6b51a94 |
14 | 20253da800 |
15 | 1134ae5099 |
hex | 9aded3700 |
41572710144 has 324 divisors, whose sum is σ = 146780273640. Its totient is φ = 11252183040.
The previous prime is 41572710133. The next prime is 41572710149. The reversal of 41572710144 is 44101727514.
41572710144 is a `hidden beast` number, since 4 + 1 + 572 + 71 + 0 + 14 + 4 = 666.
41572710144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 41572710099 and 41572710108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41572710149) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2135334 + ... + 2154714.
Almost surely, 241572710144 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 41572710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73390136820).
41572710144 is an abundant number, since it is smaller than the sum of its proper divisors (105207563496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41572710144 is a wasteful number, since it uses less digits than its factorization.
41572710144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19436 (or 19412 counting only the distinct ones).
The product of its (nonzero) digits is 31360, while the sum is 36.
The spelling of 41572710144 in words is "forty-one billion, five hundred seventy-two million, seven hundred ten thousand, one hundred forty-four".
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