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144105813 = 3216011757
BaseRepresentation
bin10001001011011…
…10000101010101
3101001011100000100
420211232011111
5243342341223
622144404313
73366610365
oct1045560525
9331140010
10144105813
1174386915
1240316699
1323b17117
14151d29a5
15c9b8043
hex896e155

144105813 has 6 divisors (see below), whose sum is σ = 208152854. Its totient is φ = 96070536.

The previous prime is 144105809. The next prime is 144105827. The reversal of 144105813 is 318501441.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 124947684 + 19158129 = 11178^2 + 4377^2 .

It is not a de Polignac number, because 144105813 - 22 = 144105809 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144105883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8005870 + ... + 8005887.

Almost surely, 2144105813 is an apocalyptic number.

It is an amenable number.

144105813 is a deficient number, since it is larger than the sum of its proper divisors (64047041).

144105813 is a wasteful number, since it uses less digits than its factorization.

144105813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011763 (or 16011760 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 144105813 is about 12004.4080653733. The cubic root of 144105813 is about 524.2766309777.

The spelling of 144105813 in words is "one hundred forty-four million, one hundred five thousand, eight hundred thirteen".

Divisors: 1 3 9 16011757 48035271 144105813