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24055114013001 = 3253397127027729
BaseRepresentation
bin1010111100000110001001…
…00001101001100101001001
310011011122110020220011012200
411132003010201221211021
511123104333141404001
6123054433344430413
75031632102302461
oct536030441514511
9104148406804180
1024055114013001
117734797821385
122846061018409
1310565064b9886
145d23b918aba1
152baade65e086
hex15e0c4869949

24055114013001 has 24 divisors (see below), whose sum is σ = 35491039651080. Its totient is φ = 15694529849856.

The previous prime is 24055114012981. The next prime is 24055114013023. The reversal of 24055114013001 is 10031041155042.

24055114013001 is a `hidden beast` number, since 2 + 40 + 551 + 1 + 40 + 1 + 30 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9902853734400 + 14152260278601 = 3146880^2 + 3761949^2 .

It is not a de Polignac number, because 24055114013001 - 219 = 24055113488713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24055114013041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63324496 + ... + 63703233.

It is an arithmetic number, because the mean of its divisors is an integer number (1478793318795).

Almost surely, 224055114013001 is an apocalyptic number.

It is an amenable number.

24055114013001 is a deficient number, since it is larger than the sum of its proper divisors (11435925638079).

24055114013001 is a wasteful number, since it uses less digits than its factorization.

24055114013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127028185 (or 127028182 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 24055114013001 its reverse (10031041155042), we get a palindrome (34086155168043).

The spelling of 24055114013001 in words is "twenty-four trillion, fifty-five billion, one hundred fourteen million, thirteen thousand, one".

Divisors: 1 3 9 53 159 397 477 1191 3573 21041 63123 189369 127027729 381083187 1143249561 6732469637 20197408911 50430008413 60592226733 151290025239 453870075717 2672790445889 8018371337667 24055114013001