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24104104400 = 245260260261
BaseRepresentation
bin10110011100101101…
…110111000111010000
32022012212010101002102
4112130231313013100
5343331122320100
615023454335532
71512215335565
oct263455670720
968185111072
1024104104400
11a24a158442
1248084ba5a8
132371a4908c
1412493b886c
15961206cd5
hex59cb771d0

24104104400 has 30 divisors (see below), whose sum is σ = 57910111782. Its totient is φ = 9641641600.

The previous prime is 24104104391. The next prime is 24104104421. The reversal of 24104104400 is 440140142.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3522185104 + 20581919296 = 59348^2 + 143464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30129731 + ... + 30130530.

Almost surely, 224104104400 is an apocalyptic number.

24104104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24104104400 is an abundant number, since it is smaller than the sum of its proper divisors (33806007382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24104104400 is a wasteful number, since it uses less digits than its factorization.

24104104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60260279 (or 60260268 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24104104400 its reverse (440140142), we get a palindrome (24544244542).

The spelling of 24104104400 in words is "twenty-four billion, one hundred four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 60260261 120520522 241041044 301301305 482082088 602602610 964164176 1205205220 1506506525 2410410440 3013013050 4820820880 6026026100 12052052200 24104104400