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444004381105 = 5293333027337
BaseRepresentation
bin1100111011000001011…
…10010011000110110001
31120110001102120112200121
412131200232103012301
524233310110143410
6535550042450241
744035561653205
oct6354056230661
91513042515617
10444004381105
1116133499720a
1272074203981
1332b3c1b747c
14176c0504b05
15b839c1d9da
hex6760b931b1

444004381105 has 8 divisors (see below), whose sum is σ = 532823597352. Its totient is φ = 355191278208.

The previous prime is 444004381063. The next prime is 444004381111. The reversal of 444004381105 is 501183400444.

It can be written as a sum of positive squares in 4 ways, for example, as 220531673664 + 223472707441 = 469608^2 + 472729^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444004381105 - 29 = 444004380593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1367004 + ... + 1660333.

It is an arithmetic number, because the mean of its divisors is an integer number (66602949669).

Almost surely, 2444004381105 is an apocalyptic number.

It is an amenable number.

444004381105 is a deficient number, since it is larger than the sum of its proper divisors (88819216247).

444004381105 is a wasteful number, since it uses less digits than its factorization.

444004381105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056675.

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 444004381105 its reverse (501183400444), we get a palindrome (945187781549).

The spelling of 444004381105 in words is "four hundred forty-four billion, four million, three hundred eighty-one thousand, one hundred five".

Divisors: 1 5 29333 146665 3027337 15136685 88800876221 444004381105