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444171404171444 = 22349318174358289
BaseRepresentation
bin110010011111110001011011…
…0110000111101100010110100
32011020200101000212001220121112
41210333202312300331202310
5431204301013431441234
64212401305351334152
7162362216314305605
oct14477426660754264
92136611025056545
10444171404171444
11119588042148274
1241997488681358
13160ac2507473a1
147b980213b5dac
153653db6a6bace
hex193f8b6c3d8b4

444171404171444 has 12 divisors (see below), whose sum is σ = 779527177810500. Its totient is φ = 221449353368448.

The previous prime is 444171404171413. The next prime is 444171404171497.

It is a happy number.

444171404171444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 128005238323600 + 316166165847844 = 11313940^2 + 17781062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444171404171392 and 444171404171401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159087177749 + ... + 159087180540.

It is an arithmetic number, because the mean of its divisors is an integer number (64960598150875).

Almost surely, 2444171404171444 is an apocalyptic number.

It is an amenable number.

444171404171444 is a deficient number, since it is larger than the sum of its proper divisors (335355773639056).

444171404171444 is a wasteful number, since it uses less digits than its factorization.

444171404171444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318174358642 (or 318174358640 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 50.

It can be divided in two parts, 44417140 and 4171444, that added together give a palindrome (48588584).

The spelling of 444171404171444 in words is "four hundred forty-four trillion, one hundred seventy-one billion, four hundred four million, one hundred seventy-one thousand, four hundred forty-four".

Divisors: 1 2 4 349 698 1396 318174358289 636348716578 1272697433156 111042851042861 222085702085722 444171404171444