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444141305 = 5476130983
BaseRepresentation
bin11010011110010…
…000111011111001
31010221201201022222
4122132100323321
51402200010210
6112023253425
714002065416
oct3236207371
91127651288
10444141305
11208784a33
121048aa275
137102810a
1442db510d
1528ed2655
hex1a790ef9

444141305 has 16 divisors (see below), whose sum is σ = 553250304. Its totient is φ = 342041280.

The previous prime is 444141289. The next prime is 444141307. The reversal of 444141305 is 503141444.

It is a happy number.

It is not a de Polignac number, because 444141305 - 24 = 444141289 is a prime.

It is a super-2 number, since 2×4441413052 = 394522997614206050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444141307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157 + ... + 29826.

It is an arithmetic number, because the mean of its divisors is an integer number (34578144).

Almost surely, 2444141305 is an apocalyptic number.

It is an amenable number.

444141305 is a deficient number, since it is larger than the sum of its proper divisors (109108999).

444141305 is a wasteful number, since it uses less digits than its factorization.

444141305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31096.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 444141305 is about 21074.6602582343. The cubic root of 444141305 is about 762.9692848872.

Adding to 444141305 its reverse (503141444), we get a palindrome (947282749).

The spelling of 444141305 in words is "four hundred forty-four million, one hundred forty-one thousand, three hundred five".

Divisors: 1 5 47 61 235 305 2867 14335 30983 154915 1456201 1889963 7281005 9449815 88828261 444141305