Search a number
-
+
44042041421001 = 3213433978674049
BaseRepresentation
bin10100000001110010101100…
…01110111110110011001001
312202221101012120222011220100
422000321112032332303021
521233041100100433001
6233400345015520013
712163634562166311
oct1200712616766311
9182841176864810
1044042041421001
1113040141232578
124b33786689009
131b761ba363370
14ac3909184441
1551597ba04586
hex280e563becc9

44042041421001 has 24 divisors (see below), whose sum is σ = 68511428785800. Its totient is φ = 27102167064576.

The previous prime is 44042041420997. The next prime is 44042041421047. The reversal of 44042041421001 is 10012414024044.

It is a happy number.

44042041421001 is a `hidden beast` number, since 4 + 404 + 2 + 0 + 41 + 4 + 210 + 0 + 1 = 666.

44042041421001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23656355888400 + 20385685532601 = 4863780^2 + 4515051^2 .

It is not a de Polignac number, because 44042041421001 - 22 = 44042041420997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44042441421001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740425 + ... + 9414473.

It is an arithmetic number, because the mean of its divisors is an integer number (2854642866075).

Almost surely, 244042041421001 is an apocalyptic number.

It is an amenable number.

44042041421001 is a deficient number, since it is larger than the sum of its proper divisors (24469387364799).

44042041421001 is a wasteful number, since it uses less digits than its factorization.

44042041421001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717465 (or 8717462 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44042041421001 its reverse (10012414024044), we get a palindrome (54054455445045).

The spelling of 44042041421001 in words is "forty-four trillion, forty-two billion, forty-one million, four hundred twenty-one thousand, one".

Divisors: 1 3 9 13 39 117 43397 130191 390573 564161 1692483 5077449 8674049 26022147 78066441 112762637 338287911 1014863733 376427704453 1129283113359 3387849340077 4893560157889 14680680473667 44042041421001