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444142224 = 24331028107
BaseRepresentation
bin11010011110010…
…001001010010000
31010221201202121000
4122132101022100
51402200022344
6112023302000
714002101201
oct3236211220
91127652530
10444142224
11208785699
121048aa900
1371028666
1442db55a8
1528ed2a69
hex1a791290

444142224 has 40 divisors (see below), whose sum is σ = 1274853920. Its totient is φ = 148047264.

The previous prime is 444142219. The next prime is 444142247. The reversal of 444142224 is 422241444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513622 + ... + 514485.

It is an arithmetic number, because the mean of its divisors is an integer number (31871348).

Almost surely, 2444142224 is an apocalyptic number.

It is an amenable number.

444142224 is an abundant number, since it is smaller than the sum of its proper divisors (830711696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444142224 is a wasteful number, since it uses less digits than its factorization.

444142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028124 (or 1028112 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 444142224 is about 21074.6820616587. The cubic root of 444142224 is about 762.9698111224.

Adding to 444142224 its reverse (422241444), we get a palindrome (866383668).

It can be divided in two parts, 4441 and 42224, that added together give a triangular number (46665 = T305).

The spelling of 444142224 in words is "four hundred forty-four million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1028107 2056214 3084321 4112428 6168642 8224856 9252963 12337284 16449712 18505926 24674568 27758889 37011852 49349136 55517778 74023704 111035556 148047408 222071112 444142224