Search a number
-
+
5440433040 = 243457315373
BaseRepresentation
bin1010001000100011…
…00110101110010000
3112001011010122010000
411010101212232100
542120222324130
62255503210000
7251550626550
oct50421465620
915034118100
105440433040
112341a89959
121079ba6900
13689188b63
1439878d160
1521c955260
hex144466b90

5440433040 has 800 divisors, whose sum is σ = 23023097856. Its totient is φ = 1164533760.

The previous prime is 5440433027. The next prime is 5440433059. The reversal of 5440433040 is 403340445.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5440432995 and 5440433013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74526444 + ... + 74526516.

Almost surely, 25440433040 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 5440433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511548928).

5440433040 is an abundant number, since it is smaller than the sum of its proper divisors (17582664816).

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

5440433040 is a wasteful number, since it uses less digits than its factorization.

5440433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5440433040 is about 73759.2912113450. The cubic root of 5440433040 is about 1758.7785343682.

Adding to 5440433040 its reverse (403340445), we get a palindrome (5843773485).

The spelling of 5440433040 in words is "five billion, four hundred forty million, four hundred thirty-three thousand, forty".