Base | Representation |
---|---|
bin | 1110000100010000101… |
… | …1011100111100100000 |
3 | 212002202211201122202100 |
4 | 3201010023130330200 |
5 | 12424410434141113 |
6 | 303003515450400 |
7 | 23313416201163 |
oct | 3410413347440 |
9 | 762684648670 |
10 | 241662021408 |
11 | 93540a02555 |
12 | 3aa04156a00 |
13 | 19a33811552 |
14 | b9a72c9ada |
15 | 6445d0bd73 |
hex | 38442dcf20 |
241662021408 has 576 divisors, whose sum is σ = 780666737760. Its totient is φ = 70527614976.
The previous prime is 241662021397. The next prime is 241662021409. The reversal of 241662021408 is 804120266142.
241662021408 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 620 + 21 + 4 + 0 + 8 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 159689750544 + 81972270864 = 399612^2 + 286308^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (241662021409) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 824784910 + ... + 824785202.
Almost surely, 2241662021408 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 241662021408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390333368880).
241662021408 is an abundant number, since it is smaller than the sum of its proper divisors (539004716352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241662021408 is a wasteful number, since it uses less digits than its factorization.
241662021408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 549 (or 538 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 241662021408 in words is "two hundred forty-one billion, six hundred sixty-two million, twenty-one thousand, four hundred eight".
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