Search a number
-
+
5440314000 = 2435311312659
BaseRepresentation
bin1010001000100010…
…01001101010010000
3112001010220120211010
411010101021222100
542120210022000
62255500450520
7251546622522
oct50421115220
915033816733
105440314000
112341a08480
121079b49a40
13689146914
1439875ba12
1521c92ed50
hex144449a90

5440314000 has 320 divisors, whose sum is σ = 19758735360. Its totient is φ = 1275840000.

The previous prime is 5440313953. The next prime is 5440314013. The reversal of 5440314000 is 4130445.

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 63 ways as a sum of consecutive naturals, for example, 2044671 + ... + 2047329.

It is an arithmetic number, because the mean of its divisors is an integer number (61746048).

Almost surely, 25440314000 is an apocalyptic number.

5440314000 is a gapful number since it is divisible by the number (50) 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 5440314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879367680).

5440314000 is an abundant number, since it is smaller than the sum of its proper divisors (14318421360).

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

5440314000 is a wasteful number, since it uses less digits than its factorization.

5440314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5440314000 is about 73758.4842577449. The cubic root of 5440314000 is about 1758.7657065582.

Adding to 5440314000 its reverse (4130445), we get a palindrome (5444444445).

The spelling of 5440314000 in words is "five billion, four hundred forty million, three hundred fourteen thousand".