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2443114240 = 285719113127
BaseRepresentation
bin1001000110011110…
…1111011100000000
320022021011001200121
42101213233130000
520000414123430
61042232230024
7114354062020
oct22147573400
96267131617
102443114240
11104408a986
1258223b314
132cc202b38
14192683a80
15e4740a7a
hex919ef700

2443114240 has 288 divisors, whose sum is σ = 7158251520. Its totient is φ = 780337152.

The previous prime is 2443114207. The next prime is 2443114241. The reversal of 2443114240 is 424113442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443114241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19237057 + ... + 19237183.

It is an arithmetic number, because the mean of its divisors is an integer number (24855040).

Almost surely, 22443114240 is an apocalyptic number.

2443114240 is a gapful number since it is divisible by the number (20) 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 2443114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579125760).

2443114240 is an abundant number, since it is smaller than the sum of its proper divisors (4715137280).

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

2443114240 is a wasteful number, since it uses less digits than its factorization.

2443114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2443114240 is about 49427.8690618966. The cubic root of 2443114240 is about 1346.8356136544.

Adding to 2443114240 its reverse (424113442), we get a palindrome (2867227682).

The spelling of 2443114240 in words is "two billion, four hundred forty-three million, one hundred fourteen thousand, two hundred forty".