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444412144 = 24114675407
BaseRepresentation
bin11010011111010…
…011000011110000
31010222020110212001
4122133103003300
51402232142034
6112033143344
714004304141
oct3237230360
91128213761
10444412144
1120894a470
121049bab54
13710c1487
1443045ac8
1529037a14
hex1a7d30f0

444412144 has 40 divisors (see below), whose sum is σ = 941511168. Its totient is φ = 201535680.

The previous prime is 444412123. The next prime is 444412159. The reversal of 444412144 is 441214444.

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

It is a congruent number.

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, 79489 + ... + 84895.

Almost surely, 2444412144 is an apocalyptic number.

444412144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444412144 is an abundant number, since it is smaller than the sum of its proper divisors (497099024).

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

444412144 is a wasteful number, since it uses less digits than its factorization.

444412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5887 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 444412144 is about 21081.0849815658. The cubic root of 444412144 is about 763.1243405316.

Adding to 444412144 its reverse (441214444), we get a palindrome (885626588).

The spelling of 444412144 in words is "four hundred forty-four million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 467 934 1868 3736 5137 5407 7472 10274 10814 20548 21628 41096 43256 59477 82192 86512 118954 237908 475816 951632 2525069 5050138 10100276 20200552 27775759 40401104 55551518 111103036 222206072 444412144