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4431414340 = 225221570717
BaseRepresentation
bin1000010000010001…
…00000010001000100
3102102211111011200001
410020020200101010
533033420224330
62011420331044
7214546254223
oct41010402104
912384434601
104431414340
111974466201
12a380a3a84
13558111982
14300774cba
151ae0919ca
hex108220444

4431414340 has 12 divisors (see below), whose sum is σ = 9305970156. Its totient is φ = 1772565728.

The previous prime is 4431414313. The next prime is 4431414341. The reversal of 4431414340 is 434141344.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2694025216 + 1737389124 = 51904^2 + 41682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4431414299 and 4431414308.

It is not an unprimeable number, because it can be changed into a prime (4431414341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110785339 + ... + 110785378.

It is an arithmetic number, because the mean of its divisors is an integer number (775497513).

Almost surely, 24431414340 is an apocalyptic number.

It is an amenable number.

4431414340 is an abundant number, since it is smaller than the sum of its proper divisors (4874555816).

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

4431414340 is a wasteful number, since it uses less digits than its factorization.

4431414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221570726 (or 221570724 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4431414340 is about 66568.8691506773. The cubic root of 4431414340 is about 1642.5330600699.

Adding to 4431414340 its reverse (434141344), we get a palindrome (4865555684).

The spelling of 4431414340 in words is "four billion, four hundred thirty-one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 221570717 443141434 886282868 1107853585 2215707170 4431414340