Search a number
-
+
5440122240 = 27357715701
BaseRepresentation
bin1010001000100000…
…11010110110000000
3112001010112211202220
411010100122312000
542120132402430
62255452411040
7251545163460
oct50420326600
915033484686
105440122240
1123418973a3
121079a76a80
136890aa557
1439870bba0
1521c8e3110
hex14441ad80

5440122240 has 256 divisors, whose sum is σ = 20100234240. Its totient is φ = 1225728000.

The previous prime is 5440122223. The next prime is 5440122251. The reversal of 5440122240 is 422210445.

It is a happy number.

It is a super-2 number, since 2×54401222402 = 59189859972285235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5440122240.

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 31 ways as a sum of consecutive naturals, for example, 951390 + ... + 957090.

It is an arithmetic number, because the mean of its divisors is an integer number (78516540).

Almost surely, 25440122240 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 5440122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10050117120).

5440122240 is an abundant number, since it is smaller than the sum of its proper divisors (14660112000).

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

5440122240 is a wasteful number, since it uses less digits than its factorization.

5440122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 5440122240 is about 73757.1843280368. The cubic root of 5440122240 is about 1758.7450420111.

Adding to 5440122240 its reverse (422210445), we get a palindrome (5862332685).

The spelling of 5440122240 in words is "five billion, four hundred forty million, one hundred twenty-two thousand, two hundred forty".