Base | Representation |
---|---|
bin | 100000010100000011001… |
… | …0100111011010110100000 |
3 | 120201120021001112221111100 |
4 | 1000220012110323112200 |
5 | 1040230334144131334 |
6 | 13240114135514400 |
7 | 635600440656555 |
oct | 100500624732640 |
9 | 16646231487440 |
10 | 4441102333344 |
11 | 14625085403a6 |
12 | 5b8870228a00 |
13 | 262a429a6081 |
14 | 114d44258a2c |
15 | 7a7cb032c99 |
hex | 40a0653b5a0 |
4441102333344 has 144 divisors (see below), whose sum is σ = 12883346566272. Its totient is φ = 1450667073024.
The previous prime is 4441102333337. The next prime is 4441102333357. The reversal of 4441102333344 is 4433332011444.
4441102333344 is a `hidden beast` number, since 4 + 4 + 411 + 0 + 233 + 3 + 3 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 4441102333299 and 4441102333308.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12385509 + ... + 12739035.
It is an arithmetic number, because the mean of its divisors is an integer number (89467684488).
Almost surely, 24441102333344 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 4441102333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441673283136).
4441102333344 is an abundant number, since it is smaller than the sum of its proper divisors (8442244232928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4441102333344 is a wasteful number, since it uses less digits than its factorization.
4441102333344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 354419 (or 354408 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 36.
Adding to 4441102333344 its reverse (4433332011444), we get a palindrome (8874434344788).
The spelling of 4441102333344 in words is "four trillion, four hundred forty-one billion, one hundred two million, three hundred thirty-three thousand, three hundred forty-four".
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