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13241144442024 = 233329103167122891
BaseRepresentation
bin1100000010101111000110…
…1101011111110010101000
31201212211201010022102121000
43000223301231133302220
53213420330434121044
644054521530515000
72534432621501022
oct300536155376250
951784633272530
1013241144442024
1142455a0929194
12159a280595a60
1375083319b175
1433ac366a1012
1517e674d06d69
hexc0af1b5fca8

13241144442024 has 256 divisors, whose sum is σ = 38649042432000. Its totient is φ = 4194839335680.

The previous prime is 13241144442013. The next prime is 13241144442089. The reversal of 13241144442024 is 42024444114231.

13241144442024 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 1 + 4 + 444 + 202 + 4 = 666.

It is a super-2 number, since 2×132411444420242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13241144442024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107685619 + ... + 107808509.

It is an arithmetic number, because the mean of its divisors is an integer number (150972822000).

Almost surely, 213241144442024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13241144442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324521216000).

13241144442024 is an abundant number, since it is smaller than the sum of its proper divisors (25407897989976).

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

13241144442024 is a wasteful number, since it uses less digits than its factorization.

13241144442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123205 (or 123195 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 13241144442024 its reverse (42024444114231), we get a palindrome (55265588556255).

The spelling of 13241144442024 in words is "thirteen trillion, two hundred forty-one billion, one hundred forty-four million, four hundred forty-two thousand, twenty-four".