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4044442240 = 2756319441
BaseRepresentation
bin1111000100010001…
…0100101010000000
3101102212022221202001
43301010110222000
531240334122430
61505154233344
7202140122536
oct36104245200
911385287661
104044442240
111795a89353
1294a585854
134c5bb21b7
142a5202156
1518a1033ca
hexf1114a80

4044442240 has 32 divisors (see below), whose sum is σ = 9668746260. Its totient is φ = 1617776640.

The previous prime is 4044442217. The next prime is 4044442247. The reversal of 4044442240 is 422444404.

It can be written as a sum of positive squares in 2 ways, for example, as 4041907776 + 2534464 = 63576^2 + 1592^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4044442199 and 4044442208.

It is not an unprimeable number, because it can be changed into a prime (4044442247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3159081 + ... + 3160360.

Almost surely, 24044442240 is an apocalyptic number.

4044442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044442240 is an abundant number, since it is smaller than the sum of its proper divisors (5624304020).

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

4044442240 is an equidigital number, since it uses as much as digits as its factorization.

4044442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319460 (or 6319448 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4044442240 is about 63595.9294294847. The cubic root of 4044442240 is about 1593.2583840300.

Adding to 4044442240 its reverse (422444404), we get a palindrome (4466886644).

The spelling of 4044442240 in words is "four billion, forty-four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6319441 12638882 25277764 31597205 50555528 63194410 101111056 126388820 202222112 252777640 404444224 505555280 808888448 1011110560 2022221120 4044442240