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252445350141 = 343898011849
BaseRepresentation
bin1110101100011011101…
…0100101100011111101
3220010121100110111220000
43223012322211203331
513114002002201031
6311545523544513
724144555033315
oct3530672454375
9803540414800
10252445350141
1198074900a86
1240b1352b139
131aa6189563a
14c30b4b8445
15687784c3e6
hex3ac6ea58fd

252445350141 has 20 divisors (see below), whose sum is σ = 378079201500. Its totient is φ = 167864239296.

The previous prime is 252445350103. The next prime is 252445350181. The reversal of 252445350141 is 141053544252.

252445350141 is a `hidden beast` number, since 2 + 524 + 45 + 3 + 50 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42177247641 + 210268102500 = 205371^2 + 458550^2 .

It is not a de Polignac number, because 252445350141 - 225 = 252411795709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252445350096 and 252445350105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252445350181) 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 19 ways as a sum of consecutive naturals, for example, 3974416 + ... + 4037433.

It is an arithmetic number, because the mean of its divisors is an integer number (18903960075).

Almost surely, 2252445350141 is an apocalyptic number.

It is an amenable number.

252445350141 is a deficient number, since it is larger than the sum of its proper divisors (125633851359).

252445350141 is an equidigital number, since it uses as much as digits as its factorization.

252445350141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012250 (or 8012241 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 252445350141 its reverse (141053544252), we get a palindrome (393498894393).

The spelling of 252445350141 in words is "two hundred fifty-two billion, four hundred forty-five million, three hundred fifty thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 389 1167 3501 10503 31509 8011849 24035547 72106641 216319923 648959769 3116609261 9349827783 28049483349 84148450047 252445350141