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24400410001 = 112994920269
BaseRepresentation
bin10110101110011000…
…001011010110010001
32022222111200020221221
4112232120023112101
5344433001110001
615113121245041
71522444030402
oct265630132621
968874606857
1024400410001
11a391439200
12488b793781
1323bb252436
1412768a99a9
1597c2361a1
hex5ae60b591

24400410001 has 12 divisors (see below), whose sum is σ = 26824304500. Its totient is φ = 22178867040.

The previous prime is 24400409987. The next prime is 24400410007. The reversal of 24400410001 is 10001400442.

It can be written as a sum of positive squares in 2 ways, for example, as 14415604225 + 9984805776 = 120065^2 + 99924^2 .

It is not a de Polignac number, because 24400410001 - 223 = 24392021393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24400410007) 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 11 ways as a sum of consecutive naturals, for example, 1193695 + ... + 1213963.

Almost surely, 224400410001 is an apocalyptic number.

It is an amenable number.

24400410001 is a deficient number, since it is larger than the sum of its proper divisors (2423894499).

24400410001 is a wasteful number, since it uses less digits than its factorization.

24400410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30240 (or 30229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24400410001 its reverse (10001400442), we get a palindrome (34401810443).

The spelling of 24400410001 in words is "twenty-four billion, four hundred million, four hundred ten thousand, one".

Divisors: 1 11 121 9949 20269 109439 222959 1203829 2452549 201656281 2218219091 24400410001