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444312141 = 371310091613
BaseRepresentation
bin11010011110111…
…010101001001101
31010222001101200020
4122132322221031
51402220442031
6112031052353
714003406450
oct3236725115
91128041606
10444312141
11208891319
121049710b9
1371087ac0
144301b497
1529018096
hex1a7baa4d

444312141 has 32 divisors (see below), whose sum is σ = 730302720. Its totient is φ = 233985024.

The previous prime is 444312139. The next prime is 444312149. The reversal of 444312141 is 141213444.

It is not a de Polignac number, because 444312141 - 21 = 444312139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444312149) 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 31 ways as a sum of consecutive naturals, for example, 274651 + ... + 276263.

It is an arithmetic number, because the mean of its divisors is an integer number (22821960).

Almost surely, 2444312141 is an apocalyptic number.

It is an amenable number.

444312141 is a deficient number, since it is larger than the sum of its proper divisors (285990579).

444312141 is a wasteful number, since it uses less digits than its factorization.

444312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645.

The product of its digits is 1536, while the sum is 24.

The square root of 444312141 is about 21078.7129825329. The cubic root of 444312141 is about 763.0670960351.

Adding to 444312141 its reverse (141213444), we get a palindrome (585525585).

The spelling of 444312141 in words is "four hundred forty-four million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 1009 1613 3027 4839 7063 11291 13117 20969 21189 33873 39351 62907 91819 146783 275457 440349 1627517 4882551 11392619 21157721 34177857 63473163 148104047 444312141