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444444444441 = 324129310933761
BaseRepresentation
bin1100111011110101111…
…01000000011100011001
31120111012002122002002200
412131322331000130121
524240210234210231
6540101442520413
744052514305534
oct6357275003431
91514162562080
10444444444441
11161540336318
1272177666109
1332bac41538a
1417722b37a1b
15b863697be6
hex677af40719

444444444441 has 48 divisors (see below), whose sum is σ = 660657069072. Its totient is φ = 287742873600.

The previous prime is 444444444401. The next prime is 444444444443. The reversal of 444444444441 is 144444444444.

It can be written as a sum of positive squares in 8 ways, for example, as 38447366400 + 405997078041 = 196080^2 + 637179^2 .

It is not a de Polignac number, because 444444444441 - 26 = 444444444377 is a prime.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (444444444443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118170001 + ... + 118173761.

It is an arithmetic number, because the mean of its divisors is an integer number (13763688939).

Almost surely, 2444444444441 is an apocalyptic number.

444444444441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444444444441 is a deficient number, since it is larger than the sum of its proper divisors (216212624631).

444444444441 is a wasteful number, since it uses less digits than its factorization.

444444444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5191 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 45.

Adding to 444444444441 its reverse (144444444444), we get a palindrome (588888888885).

The spelling of 444444444441 in words is "four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 293 369 879 1093 2637 3279 3761 9837 11283 12013 33849 36039 44813 108117 134439 154201 320249 403317 462603 960747 1101973 1387809 2882241 3305919 4110773 9917757 12332319 13130209 36996957 39390627 45180893 118171881 135542679 168541693 406628037 505625079 1204456489 1516875237 3613369467 10840108401 49382716049 148148148147 444444444441