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144303315331 = 727141478389
BaseRepresentation
bin1000011001100100100…
…1011101100110000011
3111210110202010221121111
42012121021131212003
54331013122042311
6150143024504151
713265653641100
oct2063111354603
9453422127544
10144303315331
115622050669a
1223b72a7b057
13107b92a2526
146dacd79aa7
153b4890cd21
hex219925d983

144303315331 has 12 divisors (see below), whose sum is σ = 170227312560. Its totient is φ = 121946460720.

The previous prime is 144303315323. The next prime is 144303315353. The reversal of 144303315331 is 133513303441.

It is not a de Polignac number, because 144303315331 - 23 = 144303315323 is a prime.

It is a super-2 number, since 2×1443033153312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144303315293 and 144303315302.

It is not an unprimeable number, because it can be changed into a prime (144303315371) 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, 20735716 + ... + 20742673.

It is an arithmetic number, because the mean of its divisors is an integer number (14185609380).

Almost surely, 2144303315331 is an apocalyptic number.

144303315331 is a deficient number, since it is larger than the sum of its proper divisors (25923997229).

144303315331 is an equidigital number, since it uses as much as digits as its factorization.

144303315331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41478474 (or 41478467 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 144303315331 its reverse (133513303441), we get a palindrome (277816618772).

The spelling of 144303315331 in words is "one hundred forty-four billion, three hundred three million, three hundred fifteen thousand, three hundred thirty-one".

Divisors: 1 7 49 71 497 3479 41478389 290348723 2032441061 2944965619 20614759333 144303315331