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24224042241 = 327254929801
BaseRepresentation
bin10110100011110111…
…011000110100000001
32022112012210211212200
4112203313120310001
5344102323322431
615043421143413
71515202650600
oct264367306401
968465724780
1024224042241
11a300927523
1248406bab69
132390850909
14125b2b9a37
1596b9e8ee6
hex5a3dd8d01

24224042241 has 18 divisors (see below), whose sum is σ = 40702983282. Its totient is φ = 13842309600.

The previous prime is 24224042239. The next prime is 24224042251. The reversal of 24224042241 is 14224042242.

It can be written as a sum of positive squares in only one way, i.e., 21757430016 + 2466612225 = 147504^2 + 49665^2 .

It is not a de Polignac number, because 24224042241 - 21 = 24224042239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24224042251) 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 17 ways as a sum of consecutive naturals, for example, 27464460 + ... + 27465341.

It is an arithmetic number, because the mean of its divisors is an integer number (2261276849).

Almost surely, 224224042241 is an apocalyptic number.

24224042241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24224042241 is a deficient number, since it is larger than the sum of its proper divisors (16478941041).

24224042241 is a wasteful number, since it uses less digits than its factorization.

24224042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54929821 (or 54929811 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 24224042241 its reverse (14224042242), we get a palindrome (38448084483).

Subtracting from 24224042241 its reverse (14224042242), we obtain a palindrome (9999999999).

The spelling of 24224042241 in words is "twenty-four billion, two hundred twenty-four million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 54929801 164789403 384508607 494368209 1153525821 2691560249 3460577463 8074680747 24224042241