Search a number
-
+
44204145018 = 231112719926501
BaseRepresentation
bin101001001010110001…
…011011100101111010
311020002122220020021020
4221022301123211322
51211012230120033
632150200123310
73123264014235
oct511261334572
9136078806236
1044204145018
11178240a6460
128697a66536
13422607cb37
1421d4aa241c
15123ab346b3
hexa4ac5b97a

44204145018 has 64 divisors (see below), whose sum is σ = 97696972800. Its totient is φ = 13222440000.

The previous prime is 44204144983. The next prime is 44204145047. The reversal of 44204145018 is 81054140244.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 44204145018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1654768 + ... + 1681268.

It is an arithmetic number, because the mean of its divisors is an integer number (1526515200).

Almost surely, 244204145018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44204145018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48848486400).

44204145018 is an abundant number, since it is smaller than the sum of its proper divisors (53492827782).

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

44204145018 is a wasteful number, since it uses less digits than its factorization.

44204145018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26843.

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 44204145018 in words is "forty-four billion, two hundred four million, one hundred forty-five thousand, eighteen".

Divisors: 1 2 3 6 11 22 33 66 127 199 254 381 398 597 762 1194 1397 2189 2794 4191 4378 6567 8382 13134 25273 26501 50546 53002 75819 79503 151638 159006 278003 291511 556006 583022 834009 874533 1668018 1749066 3365627 5273699 6731254 10096881 10547398 15821097 20193762 31642194 37021897 58010689 74043794 111065691 116021378 174032067 222131382 348064134 669759773 1339519546 2009279319 4018558638 7367357503 14734715006 22102072509 44204145018