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444201040 = 24521432591
BaseRepresentation
bin11010011110011…
…111100001010000
31010221211202021101
4122132133201100
51402203413130
6112024434144
714002434523
oct3236374120
91127752241
10444201040
112088158a8
12104918954
137104936a
1442dccbba
1528ee51ca
hex1a79f850

444201040 has 40 divisors (see below), whose sum is σ = 1033648128. Its totient is φ = 177528960.

The previous prime is 444201031. The next prime is 444201053. The reversal of 444201040 is 40102444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 444200999 and 444201017.

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, 170145 + ... + 172735.

Almost surely, 2444201040 is an apocalyptic number.

444201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444201040 is an abundant number, since it is smaller than the sum of its proper divisors (589447088).

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

444201040 is a wasteful number, since it uses less digits than its factorization.

444201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 444201040 is about 21076.0774339060. The cubic root of 444201040 is about 763.0034886617.

Adding to 444201040 its reverse (40102444), we get a palindrome (484303484).

The spelling of 444201040 in words is "four hundred forty-four million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2143 2591 4286 5182 8572 10364 10715 12955 17144 20728 21430 25910 34288 41456 42860 51820 85720 103640 171440 207280 5552513 11105026 22210052 27762565 44420104 55525130 88840208 111050260 222100520 444201040