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444014131344105 = 35713132280198571
BaseRepresentation
bin110010011110101000001100…
…0100100101111001011101001
32011020010100002020111111012110
41210331100120210233023221
5431144211420111002410
64212201135341032533
7162344651044320240
oct14475203044571351
92136110066444173
10444014131344105
111195273767a0313
1241970ab6255749
131609a4784b92ca
147b90581b69957
15364ec5e730720
hex193d41892f2e9

444014131344105 has 32 divisors (see below), whose sum is σ = 818109352608768. Its totient is φ = 201428439076800.

The previous prime is 444014131344061. The next prime is 444014131344181. The reversal of 444014131344105 is 501443131410444.

It is not a de Polignac number, because 444014131344105 - 26 = 444014131344041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16140085531 + ... + 16140113040.

It is an arithmetic number, because the mean of its divisors is an integer number (25565917269024).

Almost surely, 2444014131344105 is an apocalyptic number.

It is an amenable number.

444014131344105 is a deficient number, since it is larger than the sum of its proper divisors (374095221264663).

444014131344105 is a wasteful number, since it uses less digits than its factorization.

444014131344105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32280198717.

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 444014131344105 its reverse (501443131410444), we get a palindrome (945457262754549).

The spelling of 444014131344105 in words is "four hundred forty-four trillion, fourteen billion, one hundred thirty-one million, three hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 131 393 655 917 1965 2751 4585 13755 32280198571 96840595713 161400992855 225961389997 484202978565 677884169991 1129806949985 3389420849955 4228706012801 12686118038403 21143530064005 29600942089607 63430590192015 88802826268821 148004710448035 444014131344105