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144313320321 = 32412287171007
BaseRepresentation
bin1000011001100110111…
…1101000001110000001
3111210111102222020212200
42012121233220032001
54331023202222241
6150144023143413
713266134661132
oct2063157501601
9453442866780
10144313320321
115622611a585
1223b762a4b69
13107bb396441
146db0421c89
153b497374b6
hex2199be8381

144313320321 has 24 divisors (see below), whose sum is σ = 213631401984. Its totient is φ = 93820731840.

The previous prime is 144313320299. The next prime is 144313320341. The reversal of 144313320321 is 123023313441.

It is a happy number.

144313320321 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 332 + 0 + 321 = 666.

It is not a de Polignac number, because 144313320321 - 223 = 144304931713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144313320341) 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 23 ways as a sum of consecutive naturals, for example, 758400 + ... + 929406.

It is an arithmetic number, because the mean of its divisors is an integer number (8901308416).

Almost surely, 2144313320321 is an apocalyptic number.

It is an amenable number.

144313320321 is a deficient number, since it is larger than the sum of its proper divisors (69318081663).

144313320321 is a wasteful number, since it uses less digits than its factorization.

144313320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173341 (or 173338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 144313320321 its reverse (123023313441), we get a palindrome (267336633762).

The spelling of 144313320321 in words is "one hundred forty-four billion, three hundred thirteen million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 369 2287 6861 20583 93767 171007 281301 513021 843903 1539063 7011287 21033861 63101583 391093009 1173279027 3519837081 16034813369 48104440107 144313320321