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444104303424341 = 7217533138419477
BaseRepresentation
bin110010011111010010001011…
…1001111111011001101010101
32011020102221211111011210000212
41210332210113033323031111
5431202201103134034331
64212310411145415205
7162354322433335400
oct14476442717731525
92136387744153025
10444104303424341
1111956163956487a
124198648079a505
13160a5b18b6b6c1
147b94a9785cd37
15365228ac4dd2b
hex193e9173fb355

444104303424341 has 12 divisors (see below), whose sum is σ = 547000018384428. Its totient is φ = 358269017887872.

The previous prime is 444104303424233. The next prime is 444104303424371. The reversal of 444104303424341 is 143424303401444.

It can be written as a sum of positive squares in 2 ways, for example, as 381319741308100 + 62784562116241 = 19527410^2 + 7923671^2 .

It is a de Polignac number, because none of the positive numbers 2k-444104303424341 is a prime.

It is a super-2 number, since 2×4441043034243412 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444104303424371) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 266569208906 + ... + 266569210571.

It is an arithmetic number, because the mean of its divisors is an integer number (45583334865369).

Almost surely, 2444104303424341 is an apocalyptic number.

It is an amenable number.

444104303424341 is a deficient number, since it is larger than the sum of its proper divisors (102895714960087).

444104303424341 is a wasteful number, since it uses less digits than its factorization.

444104303424341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533138419508 (or 533138419501 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 41.

Adding to 444104303424341 its reverse (143424303401444), we get a palindrome (587528606825785).

The spelling of 444104303424341 in words is "four hundred forty-four trillion, one hundred four billion, three hundred three million, four hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 7 17 49 119 833 533138419477 3731968936339 9063353131109 26123782554373 63443471917763 444104303424341