Search a number
-
+
44330003344 = 2411276130089
BaseRepresentation
bin101001010010010001…
…100010101110010000
311020102102201111102201
4221102101202232100
51211241440101334
632210453452544
73126352545154
oct512221425620
9136372644381
1044330003344
1117889149700
128712041154
134246178413
1422076a5064
151246be5c14
hexa52462b90

44330003344 has 60 divisors (see below), whose sum is σ = 94534535340. Its totient is φ = 20122854400.

The previous prime is 44330003323. The next prime is 44330003359.

It is a happy number.

44330003344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7189004944 + 37140998400 = 84788^2 + 192720^2 .

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1458252 + ... + 1488340.

It is an arithmetic number, because the mean of its divisors is an integer number (1575575589).

Almost surely, 244330003344 is an apocalyptic number.

44330003344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44330003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47267267670).

44330003344 is an abundant number, since it is smaller than the sum of its proper divisors (50204531996).

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

44330003344 is a wasteful number, since it uses less digits than its factorization.

44330003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30880 (or 30863 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 4433000 and 3344, that added together give a palindrome (4436344).

The spelling of 44330003344 in words is "forty-four billion, three hundred thirty million, three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 761 968 1522 1936 3044 6088 8371 12176 16742 30089 33484 60178 66968 92081 120356 133936 184162 240712 330979 368324 481424 661958 736648 1323916 1473296 2647832 3640769 5295664 7281538 14563076 22897729 29126152 45795458 58252304 91590916 183181832 251875019 366363664 503750038 1007500076 2015000152 2770625209 4030000304 5541250418 11082500836 22165001672 44330003344