Search a number
-
+
44041434112 = 210134098089
BaseRepresentation
bin101001000001000100…
…101111010000000000
311012200022201122212101
4221001010233100000
51210144101342422
632122104440144
73116250004354
oct510104572000
9135608648771
1044041434112
1117750272335
128651479054
1341cb4504b0
1421bb229464
15122b6e3c27
hexa4112f400

44041434112 has 88 divisors (see below), whose sum is σ = 95055720200. Its totient is φ = 20274610176.

The previous prime is 44041434001. The next prime is 44041434139. The reversal of 44041434112 is 21143414044.

It can be written as a sum of positive squares in 4 ways, for example, as 470716416 + 43570717696 = 21696^2 + 208736^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5440564 + ... + 5448652.

Almost surely, 244041434112 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 44041434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47527860100).

44041434112 is an abundant number, since it is smaller than the sum of its proper divisors (51014286088).

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

44041434112 is a wasteful number, since it uses less digits than its factorization.

44041434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 44041434112 its reverse (21143414044), we get a palindrome (65184848156).

The spelling of 44041434112 in words is "forty-four billion, forty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 409 416 512 818 832 1024 1636 1664 3272 3328 5317 6544 6656 8089 10634 13088 13312 16178 21268 26176 32356 42536 52352 64712 85072 104704 105157 129424 170144 209408 210314 258848 340288 418816 420628 517696 680576 841256 1035392 1361152 1682512 2070784 2722304 3308401 3365024 4141568 5444608 6616802 6730048 8283136 13233604 13460096 26467208 26920192 43009213 52934416 53840384 86018426 105868832 107680768 172036852 211737664 344073704 423475328 688147408 846950656 1376294816 1693901312 2752589632 3387802624 5505179264 11010358528 22020717056 44041434112