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4440441140 = 2251729450349
BaseRepresentation
bin1000010001010101…
…11100000100110100
3102110110110210002222
410020222330010310
533043223104030
62012342021512
7215016061352
oct41052740464
912413423088
104440441140
111979571173
12a3b117898
13559c52585
14301a447d2
151aec763e5
hex108abc134

4440441140 has 48 divisors (see below), whose sum is σ = 10213938000. Its totient is φ = 1614047232.

The previous prime is 4440441101. The next prime is 4440441143. The reversal of 4440441140 is 411440444.

It can be written as a sum of positive squares in 8 ways, for example, as 159617956 + 4280823184 = 12634^2 + 65428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440441143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215315 + ... + 235034.

It is an arithmetic number, because the mean of its divisors is an integer number (212790375).

Almost surely, 24440441140 is an apocalyptic number.

It is an amenable number.

4440441140 is an abundant number, since it is smaller than the sum of its proper divisors (5773496860).

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

4440441140 is a wasteful number, since it uses less digits than its factorization.

4440441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450404 (or 450402 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4440441140 is about 66636.6351191295. The cubic root of 4440441140 is about 1643.6475847076.

Adding to 4440441140 its reverse (411440444), we get a palindrome (4851881584).

The spelling of 4440441140 in words is "four billion, four hundred forty million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 450349 900698 1801396 2251745 4503490 7655933 9006980 13060121 15311866 26120242 30623732 38279665 52240484 65300605 76559330 130601210 153118660 222022057 261202420 444044114 888088228 1110110285 2220220570 4440441140