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133423432241441 = 17159723772067517
BaseRepresentation
bin11110010101100100010000…
…010010001001000100100001
3122111102011012101202010120212
4132111210100102021010201
5114442002142123211231
61151433513435543505
740050345013503356
oct3625442022110441
9574364171663525
10133423432241441
11395706181820a1
1212b6a4315bab95
13595aa11202134
1424d3a2b30062d
1510659b292742b
hex795910489121

133423432241441 has 16 divisors (see below), whose sum is σ = 141419868674256. Its totient is φ = 125443506456576.

The previous prime is 133423432241419. The next prime is 133423432241453. The reversal of 133423432241441 is 144142234324331.

It can be written as a sum of positive squares in 8 ways, for example, as 2773960201441 + 130649472040000 = 1665521^2 + 11430200^2 .

It is a cyclic number.

It is not a de Polignac number, because 133423432241441 - 26 = 133423432241377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133423432241401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63499415 + ... + 65566931.

It is an arithmetic number, because the mean of its divisors is an integer number (8838741792141).

Almost surely, 2133423432241441 is an apocalyptic number.

It is an amenable number.

133423432241441 is a deficient number, since it is larger than the sum of its proper divisors (7996436432815).

133423432241441 is a wasteful number, since it uses less digits than its factorization.

133423432241441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071508.

The product of its digits is 663552, while the sum is 41.

Adding to 133423432241441 its reverse (144142234324331), we get a palindrome (277565666565772).

The spelling of 133423432241441 in words is "one hundred thirty-three trillion, four hundred twenty-three billion, four hundred thirty-two million, two hundred forty-one thousand, four hundred forty-one".

Divisors: 1 17 1597 2377 27149 40409 2067517 3796069 35147789 64533173 3301824649 4914487909 56131019033 83546294453 7848437190673 133423432241441