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2404144821 = 313222920707
BaseRepresentation
bin1000111101001100…
…0101011010110101
320012112211012200210
42033103011122311
514410430113241
61034321100033
7113401615401
oct21723053265
96175735623
102404144821
111024093651
12571187619
132c410a400
1418b41c101
15e10e4316
hex8f4c56b5

2404144821 has 24 divisors (see below), whose sum is σ = 3486398880. Its totient is φ = 1472942016.

The previous prime is 2404144753. The next prime is 2404144823. The reversal of 2404144821 is 1284414042.

It is not a de Polignac number, because 2404144821 - 213 = 2404136629 is a prime.

It is a super-2 number, since 2×24041448212 = 11559824640682244082, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404144823) 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 23 ways as a sum of consecutive naturals, for example, 105750 + ... + 126456.

It is an arithmetic number, because the mean of its divisors is an integer number (145266620).

Almost surely, 22404144821 is an apocalyptic number.

It is an amenable number.

2404144821 is a deficient number, since it is larger than the sum of its proper divisors (1082254059).

2404144821 is a wasteful number, since it uses less digits than its factorization.

2404144821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20965 (or 20952 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2404144821 is about 49032.0795092356. The cubic root of 2404144821 is about 1339.6362012703.

Adding to 2404144821 its reverse (1284414042), we get a palindrome (3688558863).

The spelling of 2404144821 in words is "two billion, four hundred four million, one hundred forty-four thousand, eight hundred twenty-one".

Divisors: 1 3 13 39 169 229 507 687 2977 8931 20707 38701 62121 116103 269191 807573 3499483 4741903 10498449 14225709 61644739 184934217 801381607 2404144821