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144322851601 = 1131817056317
BaseRepresentation
bin1000011001101001001…
…1111111001100010001
3111210112002220111100001
42012122103333030101
54331033122222401
6150145003330001
713266311666125
oct2063223771421
9453462814301
10144322851601
115623053a575
1223b79520901
13107c0352856
146db17c3585
153b4a4bb601
hex219a4ff311

144322851601 has 8 divisors (see below), whose sum is σ = 146404485864. Its totient is φ = 142255330560.

The previous prime is 144322851587. The next prime is 144322851611. The reversal of 144322851601 is 106158223441.

144322851601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40561557201 + 103761294400 = 201399^2 + 322120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144322851601 - 213 = 144322843409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144322851611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507706 + ... + 3548611.

It is an arithmetic number, because the mean of its divisors is an integer number (18300560733).

Almost surely, 2144322851601 is an apocalyptic number.

It is an amenable number.

144322851601 is a deficient number, since it is larger than the sum of its proper divisors (2081634263).

144322851601 is a wasteful number, since it uses less digits than its factorization.

144322851601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056611.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 144322851601 in words is "one hundred forty-four billion, three hundred twenty-two million, eight hundred fifty-one thousand, six hundred one".

Divisors: 1 113 181 20453 7056317 797363821 1277193377 144322851601