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4442000000 = 27562221
BaseRepresentation
bin1000010001100001…
…11000101010000000
3102110120101222110112
410020300320222000
533044123000000
62012435250452
7215035243214
oct41060705200
912416358415
104442000000
11197a436389
12a3b749a28
1355a379c89
14301d2c944
151aee83235
hex108c38a80

4442000000 has 112 divisors (see below), whose sum is σ = 11066459910. Its totient is φ = 1776000000.

The previous prime is 4441999999. The next prime is 4442000011. The reversal of 4442000000 is 2444.

It can be written as a sum of positive squares in 7 ways, for example, as 1963553344 + 2478446656 = 44312^2 + 49784^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1998890 + ... + 2001110.

Almost surely, 24442000000 is an apocalyptic number.

4442000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533229955).

4442000000 is an abundant number, since it is smaller than the sum of its proper divisors (6624459910).

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

4442000000 is an frugal number, since it uses more digits than its factorization.

4442000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4442000000 is about 66648.3308118065. The cubic root of 4442000000 is about 1643.8399016885.

Adding to 4442000000 its reverse (2444), we get a palindrome (4442002444).

The spelling of 4442000000 in words is "four billion, four hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2221 2500 3125 3200 4000 4442 5000 6250 8000 8884 10000 11105 12500 15625 16000 17768 20000 22210 25000 31250 35536 40000 44420 50000 55525 62500 71072 80000 88840 100000 111050 125000 142144 177680 200000 222100 250000 277625 284288 355360 400000 444200 500000 555250 710720 888400 1000000 1110500 1388125 1421440 1776800 2000000 2221000 2776250 3553600 4442000 5552500 6940625 7107200 8884000 11105000 13881250 17768000 22210000 27762500 34703125 35536000 44420000 55525000 69406250 88840000 111050000 138812500 177680000 222100000 277625000 444200000 555250000 888400000 1110500000 2221000000 4442000000