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144478306037 = 13291213315937
BaseRepresentation
bin1000011010001110010…
…0111111111011110101
3111210220221102101201202
42012203210333323311
54331342421243122
6150212235302245
713303210224062
oct2064344777365
9453827371652
10144478306037
115630026780a
12240015aa985
1310816611320
146dc82cbc69
153b58e76e92
hex21a393fef5

144478306037 has 16 divisors (see below), whose sum is σ = 161090467440. Its totient is φ = 128659249152.

The previous prime is 144478306013. The next prime is 144478306061. The reversal of 144478306037 is 730603874441.

It is an interprime number because it is at equal distance from previous prime (144478306013) and next prime (144478306061).

It can be written as a sum of positive squares in 8 ways, for example, as 73998144676 + 70480161361 = 272026^2 + 265481^2 .

It is a cyclic number.

It is not a de Polignac number, because 144478306037 - 28 = 144478305781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144478305982 and 144478306000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144478506037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299333 + ... + 615269.

It is an arithmetic number, because the mean of its divisors is an integer number (10068154215).

Almost surely, 2144478306037 is an apocalyptic number.

It is an amenable number.

144478306037 is a deficient number, since it is larger than the sum of its proper divisors (16612161403).

144478306037 is a wasteful number, since it uses less digits than its factorization.

144478306037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317192.

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 144478306037 in words is "one hundred forty-four billion, four hundred seventy-eight million, three hundred six thousand, thirty-seven".

Divisors: 1 13 29 377 1213 15769 35177 315937 457301 4107181 9162173 119108249 383231581 4982010553 11113715849 144478306037