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144334121013 = 3297165331181
BaseRepresentation
bin1000011001101011111…
…0111110100000110101
3111210112220010001001200
42012122332332200311
54331044013333023
6150150045043113
713266506533425
oct2063276764065
9453486101050
10144334121013
1156236937435
1223b81256499
13107c279a144
146db30b8485
153b4b495743
hex219afbe835

144334121013 has 12 divisors (see below), whose sum is σ = 210631925868. Its totient is φ = 95230759680.

The previous prime is 144334120981. The next prime is 144334121017. The reversal of 144334121013 is 310121433441.

144334121013 is a `hidden beast` number, since 1 + 4 + 433 + 4 + 1 + 210 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43855898724 + 100478222289 = 209418^2 + 316983^2 .

It is not a de Polignac number, because 144334121013 - 25 = 144334120981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144334121017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82664718 + ... + 82666463.

It is an arithmetic number, because the mean of its divisors is an integer number (17552660489).

Almost surely, 2144334121013 is an apocalyptic number.

It is an amenable number.

144334121013 is a deficient number, since it is larger than the sum of its proper divisors (66297804855).

144334121013 is a wasteful number, since it uses less digits than its factorization.

144334121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165331284 (or 165331281 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144334121013 its reverse (310121433441), we get a palindrome (454455554454).

The spelling of 144334121013 in words is "one hundred forty-four billion, three hundred thirty-four million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 97 291 873 165331181 495993543 1487980629 16037124557 48111373671 144334121013