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444144262441444 = 22349345733920233
BaseRepresentation
bin110010011111100100110010…
…0111111011110100111100100
32011020120202222022010011120021
41210333021210333132213210
5431203324422141111234
64212341020222044524
7162360235602355465
oct14477114477364744
92136522868104507
10444144262441444
11119577584370854
1241992172a19744
13160a98165a1c16
147b969a87dcd6c
153653328d3c9b4
hex193f264fde9e4

444144262441444 has 24 divisors (see below), whose sum is σ = 779482645302200. Its totient is φ = 221434940277504.

The previous prime is 444144262441343. The next prime is 444144262441463.

444144262441444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 48448142620900 + 395696119820544 = 6960470^2 + 19892112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444144262441391 and 444144262441400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482183152 + ... + 483103384.

Almost surely, 2444144262441444 is an apocalyptic number.

It is an amenable number.

444144262441444 is a deficient number, since it is larger than the sum of its proper divisors (335338382860756).

444144262441444 is a wasteful number, since it uses less digits than its factorization.

444144262441444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266319 (or 1266317 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 52.

The spelling of 444144262441444 in words is "four hundred forty-four trillion, one hundred forty-four billion, two hundred sixty-two million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 349 698 1396 345733 691466 920233 1382932 1840466 3680932 120660817 241321634 321161317 482643268 642322634 1284645268 318154915789 636309831578 1272619663156 111036065610361 222072131220722 444144262441444