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24141434530401 = 322992495917741
BaseRepresentation
bin1010111110100110111011…
…01000010010101001100001
310011110220021002011210002200
411133103131220102221201
511131013124214433101
6123202231045003413
75041106152504506
oct537233550225141
9104426232153080
1024141434530401
117768363476761
12285a9316b3569
1310616b1c1ccc6
145d66475294ad
152bce92978986
hex15f4dda12a61

24141434530401 has 12 divisors (see below), whose sum is σ = 36073407919380. Its totient is φ = 15539314180320.

The previous prime is 24141434530399. The next prime is 24141434530439. The reversal of 24141434530401 is 10403543414142.

It is a happy number.

24141434530401 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 4 + 345 + 304 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19021600613376 + 5119833917025 = 4361376^2 + 2262705^2 .

It is not a de Polignac number, because 24141434530401 - 21 = 24141434530399 is a prime.

It is a super-2 number, since 2×241414345304012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24141434530901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46247958610 + ... + 46247959131.

It is an arithmetic number, because the mean of its divisors is an integer number (3006117326615).

Almost surely, 224141434530401 is an apocalyptic number.

It is an amenable number.

24141434530401 is a deficient number, since it is larger than the sum of its proper divisors (11931973388979).

24141434530401 is a wasteful number, since it uses less digits than its factorization.

24141434530401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92495917776 (or 92495917773 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 24141434530401 its reverse (10403543414142), we get a palindrome (34544977944543).

The spelling of 24141434530401 in words is "twenty-four trillion, one hundred forty-one billion, four hundred thirty-four million, five hundred thirty thousand, four hundred one".

Divisors: 1 3 9 29 87 261 92495917741 277487753223 832463259669 2682381614489 8047144843467 24141434530401