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4414224141 = 33716473559
BaseRepresentation
bin1000001110001101…
…11011011100001101
3102101122010211011000
410013012323130031
533020020133031
62010004050513
7214250200065
oct40706733415
912348124130
104414224141
111965794a28
12a32393a39
135546a3462
142dc37c3a5
151ac7e83e6
hex1071bb70d

4414224141 has 32 divisors (see below), whose sum is σ = 6643814400. Its totient is φ = 2896069680.

The previous prime is 4414224107. The next prime is 4414224149. The reversal of 4414224141 is 1414224144.

It is a happy number.

4414224141 is a `hidden beast` number, since 4 + 414 + 2 + 241 + 4 + 1 = 666.

It is not a de Polignac number, because 4414224141 - 29 = 4414223629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414224149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238520 + ... + 1242078.

It is an arithmetic number, because the mean of its divisors is an integer number (207619200).

Almost surely, 24414224141 is an apocalyptic number.

It is an amenable number.

4414224141 is a deficient number, since it is larger than the sum of its proper divisors (2229590259).

4414224141 is a wasteful number, since it uses less digits than its factorization.

4414224141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4280 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4414224141 is about 66439.6277909502. The cubic root of 4414224141 is about 1640.4064208132.

Adding to 4414224141 its reverse (1414224144), we get a palindrome (5828448285).

The spelling of 4414224141 in words is "four billion, four hundred fourteen million, two hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 71 213 639 647 1917 1941 3559 5823 10677 17469 32031 45937 96093 137811 252689 413433 758067 1240299 2274201 2302673 6822603 6908019 20724057 62172171 163489783 490469349 1471408047 4414224141