Search a number
-
+
44001311440 = 245550016393
BaseRepresentation
bin101000111110101011…
…101011101011010000
311012120112020012220111
4220332223223223100
51210103313431230
632114112451104
73115251655552
oct507653535320
9135515205814
1044001311440
111772a6585a9
12863bb49a94
1341c3042b78
1421b5b834d2
151227e1a92a
hexa3eaebad0

44001311440 has 20 divisors (see below), whose sum is σ = 102303049284. Its totient is φ = 17600524544.

The previous prime is 44001311411. The next prime is 44001311461. The reversal of 44001311440 is 4411310044.

It can be written as a sum of positive squares in 2 ways, for example, as 7232481936 + 36768829504 = 85044^2 + 191752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×440013114402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275008117 + ... + 275008276.

Almost surely, 244001311440 is an apocalyptic number.

44001311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44001311440 is an abundant number, since it is smaller than the sum of its proper divisors (58301737844).

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

44001311440 is a wasteful number, since it uses less digits than its factorization.

44001311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550016406 (or 550016400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 44001311440 its reverse (4411310044), we get a palindrome (48412621484).

The spelling of 44001311440 in words is "forty-four billion, one million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 550016393 1100032786 2200065572 2750081965 4400131144 5500163930 8800262288 11000327860 22000655720 44001311440