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44004442224 = 243792146893
BaseRepresentation
bin101000111110110111…
…101000000001110000
311012120202010021112110
4220332313220001300
51210110114122344
632114303525320
73115320405321
oct507667500160
9135522107473
1044004442224
11177313a6826
128640bb9840
1341c389abc2
1421b635a448
1512283383b9
hexa3ede8070

44004442224 has 60 divisors (see below), whose sum is σ = 115136104776. Its totient is φ = 14482376064.

The previous prime is 44004442201. The next prime is 44004442243. The reversal of 44004442224 is 42224440044.

It is a junction number, because it is equal to n+sod(n) for n = 44004442191 and 44004442200.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 226122 + ... + 373014.

Almost surely, 244004442224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44004442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57568052388).

44004442224 is an abundant number, since it is smaller than the sum of its proper divisors (71131662552).

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

44004442224 is a wasteful number, since it uses less digits than its factorization.

44004442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147062 (or 146977 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 44004442224 its reverse (42224440044), we get a palindrome (86228882268).

The spelling of 44004442224 in words is "forty-four billion, four million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 6241 12482 18723 24964 37446 49928 74892 99856 146893 149784 293786 299568 440679 587572 881358 1175144 1762716 2350288 3525432 7050864 11604547 23209094 34813641 46418188 69627282 92836376 139254564 185672752 278509128 557018256 916759213 1833518426 2750277639 3667036852 5500555278 7334073704 11001110556 14668147408 22002221112 44004442224