Base | Representation |
---|---|
bin | 100110110110110101… |
… | …111011110000000000 |
3 | 10222200200212022022000 |
4 | 212312311323300000 |
5 | 1140421402003334 |
6 | 31100021344000 |
7 | 3004626450600 |
oct | 466665736000 |
9 | 128620768260 |
10 | 41722297344 |
11 | 16770170582 |
12 | 8104868000 |
13 | 3c1bb37b10 |
14 | 203b218c00 |
15 | 1142ce2299 |
hex | 9b6d7bc00 |
41722297344 has 1056 divisors, whose sum is σ = 163089239040. Its totient is φ = 10423074816.
The previous prime is 41722297319. The next prime is 41722297373. The reversal of 41722297344 is 44379222714.
41722297344 is a `hidden beast` number, since 4 + 17 + 2 + 2 + 297 + 344 = 666.
41722297344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×417222973442 (a number of 22 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 41722297344.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405070797 + ... + 405070899.
Almost surely, 241722297344 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 41722297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81544619520).
41722297344 is an abundant number, since it is smaller than the sum of its proper divisors (121366941696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41722297344 is a wasteful number, since it uses less digits than its factorization.
41722297344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 151 counting only the distinct ones).
The product of its digits is 677376, while the sum is 45.
The spelling of 41722297344 in words is "forty-one billion, seven hundred twenty-two million, two hundred ninety-seven thousand, three hundred forty-four".
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