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44442024224 = 2513140975821
BaseRepresentation
bin101001011000111100…
…110111100100100000
311020201020111202012012
4221120330313210200
51212004124233344
632225534452052
73132212654513
oct513074674440
9136636452165
1044442024224
1117936400644
128743664028
13426343a570
142218504d7a
15125197229e
hexa58f37920

44442024224 has 48 divisors (see below), whose sum is σ = 94293755640. Its totient is φ = 20496875520.

The previous prime is 44442024217. The next prime is 44442024281. The reversal of 44442024224 is 42242024444.

It can be written as a sum of positive squares in 4 ways, for example, as 30999940624 + 13442083600 = 176068^2 + 115940^2 .

It is a super-3 number, since 3×444420242243 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 548234 + ... + 624054.

Almost surely, 244442024224 is an apocalyptic number.

It is an amenable number.

44442024224 is an abundant number, since it is smaller than the sum of its proper divisors (49851731416).

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

44442024224 is a wasteful number, since it uses less digits than its factorization.

44442024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77253 (or 77245 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 44442024224 its reverse (42242024444), we get a palindrome (86684048668).

The spelling of 44442024224 in words is "forty-four billion, four hundred forty-two million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1409 2818 5636 11272 18317 22544 36634 45088 73268 75821 146536 151642 293072 303284 586144 606568 985673 1213136 1971346 2426272 3942692 7885384 15770768 31541536 106831789 213663578 427327156 854654312 1388813257 1709308624 2777626514 3418617248 5555253028 11110506056 22221012112 44442024224