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145593342441 = 3253305227133
BaseRepresentation
bin1000011110011000001…
…0100001100111101001
3111220210122120010010100
42013212002201213221
54341133343424231
6150515030340013
713342636664061
oct2074602414751
9456718503110
10145593342441
11568227120a8
1224272aba609
1310963628091
1470924223a1
153bc1ccd1e6
hex21e60a19e9

145593342441 has 12 divisors (see below), whose sum is σ = 214269448068. Its totient is φ = 95230865184.

The previous prime is 145593342413. The next prime is 145593342487. The reversal of 145593342441 is 144243395541.

It is a happy number.

145593342441 is a `hidden beast` number, since 1 + 4 + 5 + 593 + 34 + 24 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132958683225 + 12634659216 = 364635^2 + 112404^2 .

It is not a de Polignac number, because 145593342441 - 25 = 145593342409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145593344441) 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 11 ways as a sum of consecutive naturals, for example, 152613090 + ... + 152614043.

It is an arithmetic number, because the mean of its divisors is an integer number (17855787339).

Almost surely, 2145593342441 is an apocalyptic number.

It is an amenable number.

145593342441 is a deficient number, since it is larger than the sum of its proper divisors (68676105627).

145593342441 is a wasteful number, since it uses less digits than its factorization.

145593342441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305227192 (or 305227189 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 145593342441 in words is "one hundred forty-five billion, five hundred ninety-three million, three hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 53 159 477 305227133 915681399 2747044197 16177038049 48531114147 145593342441