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44442240200 = 2352222211201
BaseRepresentation
bin101001011000111101…
…101100010011001000
311020201020220201110022
4221120331230103020
51212004203141300
632225543240012
73132214544261
oct513075542310
9136636821408
1044442240200
1117936538936
128743749008
1342634b4967
14221855d968
1512519b6285
hexa58f6c4c8

44442240200 has 24 divisors (see below), whose sum is σ = 103328208930. Its totient is φ = 17776896000.

The previous prime is 44442240179. The next prime is 44442240209. The reversal of 44442240200 is 204224444.

It can be written as a sum of positive squares in 3 ways, for example, as 32932812676 + 11509427524 = 181474^2 + 107282^2 .

It is a super-3 number, since 3×444422402003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 44442240200.

It is not an unprimeable number, because it can be changed into a prime (44442240209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111105401 + ... + 111105800.

Almost surely, 244442240200 is an apocalyptic number.

44442240200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44442240200 is an abundant number, since it is smaller than the sum of its proper divisors (58885968730).

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

44442240200 is a wasteful number, since it uses less digits than its factorization.

44442240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222211217 (or 222211208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 44442240200 its reverse (204224444), we get a palindrome (44646464644).

The spelling of 44442240200 in words is "forty-four billion, four hundred forty-two million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 222211201 444422402 888844804 1111056005 1777689608 2222112010 4444224020 5555280025 8888448040 11110560050 22221120100 44442240200