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444414331101 = 31331735947127
BaseRepresentation
bin1100111011110010010…
…10001000100011011101
31120111002222222011100210
412131321022020203131
524240130032043401
6540054445243033
744052000325536
oct6357112104335
91514088864323
10444414331101
11161525338764
1272169563479
1332ba6100930
141771cb3968d
15b860bea4d6
hex67792888dd

444414331101 has 16 divisors (see below), whose sum is σ = 640146455424. Its totient is φ = 272623003584.

The previous prime is 444414331093. The next prime is 444414331133. The reversal of 444414331101 is 101133414444.

It is not a de Polignac number, because 444414331101 - 23 = 444414331093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444414331001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17961201 + ... + 17985926.

It is an arithmetic number, because the mean of its divisors is an integer number (40009153464).

Almost surely, 2444414331101 is an apocalyptic number.

It is an amenable number.

444414331101 is a deficient number, since it is larger than the sum of its proper divisors (195732124323).

444414331101 is a wasteful number, since it uses less digits than its factorization.

444414331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35947460.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 444414331101 its reverse (101133414444), we get a palindrome (545547745545).

The spelling of 444414331101 in words is "four hundred forty-four billion, four hundred fourteen million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 3 13 39 317 951 4121 12363 35947127 107841381 467312651 1401937953 11395239259 34185717777 148138110367 444414331101