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30144043341 = 3231981104729
BaseRepresentation
bin11100000100101110…
…011001100101001101
32212210210100001200200
4130010232121211031
5443213333341331
621503055244113
72114666066166
oct340456314515
985723301620
1030144043341
1111869587a15
125a13219639
132ac5189949
14165d62276d
15bb65cd5e6
hex704b9994d

30144043341 has 12 divisors (see below), whose sum is σ = 43543173180. Its totient is φ = 20095208640.

The previous prime is 30144043277. The next prime is 30144043367. The reversal of 30144043341 is 14334044103.

It can be written as a sum of positive squares in 2 ways, for example, as 16907540841 + 13236502500 = 130029^2 + 115050^2 .

It is not a de Polignac number, because 30144043341 - 26 = 30144043277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30149043341) 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, 235465 + ... + 340193.

It is an arithmetic number, because the mean of its divisors is an integer number (3628597765).

Almost surely, 230144043341 is an apocalyptic number.

It is an amenable number.

30144043341 is a deficient number, since it is larger than the sum of its proper divisors (13399129839).

30144043341 is a wasteful number, since it uses less digits than its factorization.

30144043341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136716 (or 136713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30144043341 its reverse (14334044103), we get a palindrome (44478087444).

The spelling of 30144043341 in words is "thirty billion, one hundred forty-four million, forty-three thousand, three hundred forty-one".

Divisors: 1 3 9 31981 95943 104729 287829 314187 942561 3349338149 10048014447 30144043341