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4324122441 = 33414390841
BaseRepresentation
bin1000000011011110…
…01101111101001001
3102011100121011212000
410001233031331021
532323433404231
61553024541213
7212104301652
oct40157157511
912140534760
104324122441
111919944211
12a08181809
1353bb17142
142d0406529
151a494b6e6
hex101bcdf49

4324122441 has 32 divisors (see below), whose sum is σ = 6715040640. Its totient is φ = 2747001600.

The previous prime is 4324122427. The next prime is 4324122457. The reversal of 4324122441 is 1442214234.

4324122441 is a `hidden beast` number, since 4 + 3 + 2 + 412 + 244 + 1 = 666.

It is not a de Polignac number, because 4324122441 - 25 = 4324122409 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4324120441) 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, 2181 + ... + 93021.

It is an arithmetic number, because the mean of its divisors is an integer number (209845020).

Almost surely, 24324122441 is an apocalyptic number.

4324122441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4324122441 is a deficient number, since it is larger than the sum of its proper divisors (2390918199).

4324122441 is a wasteful number, since it uses less digits than its factorization.

4324122441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90934 (or 90928 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4324122441 is about 65758.0598938259. The cubic root of 4324122441 is about 1629.1684620370.

Adding to 4324122441 its reverse (1442214234), we get a palindrome (5766336675).

The spelling of 4324122441 in words is "four billion, three hundred twenty-four million, one hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 41 43 123 129 369 387 1107 1161 1763 5289 15867 47601 90841 272523 817569 2452707 3724481 3906163 11173443 11718489 33520329 35155467 100560987 105466401 160152683 480458049 1441374147 4324122441