Search a number
-
+
44224044224 = 261016919901
BaseRepresentation
bin101001001011111101…
…010101110011000000
311020011001100012211212
4221023331111303000
51211032323403344
632152150425252
73123625113353
oct511375256300
9136131305755
1044224044224
1117834357a88
1286a2662228
13422a229409
1421d75a229a
15123c76579e
hexa4bf55cc0

44224044224 has 56 divisors (see below), whose sum is σ = 88763191536. Its totient is φ = 21859200000.

The previous prime is 44224044211. The next prime is 44224044229. The reversal of 44224044224 is 42244042244.

44224044224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (44224044229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4461674 + ... + 4471574.

Almost surely, 244224044224 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 44224044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44381595768).

44224044224 is an abundant number, since it is smaller than the sum of its proper divisors (44539147312).

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

44224044224 is a wasteful number, since it uses less digits than its factorization.

44224044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705 (or 10695 counting only the distinct ones).

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

Adding to 44224044224 its reverse (42244042244), we get a palindrome (86468086468).

The spelling of 44224044224 in words is "forty-four billion, two hundred twenty-four million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 202 404 691 808 1382 1616 2764 3232 5528 6464 9901 11056 19802 22112 39604 44224 69791 79208 139582 158416 279164 316832 558328 633664 1000001 1116656 2000002 2233312 4000004 4466624 6841591 8000008 13683182 16000016 27366364 32000032 54732728 64000064 109465456 218930912 437861824 691000691 1382001382 2764002764 5528005528 11056011056 22112022112 44224044224