Search a number
-
+
404400044045 = 51729164056813
BaseRepresentation
bin1011110001010000001…
…11101111100000001101
31102122211100000202201002
411320220013233200031
523111202402402140
6505440120230045
741134260441524
oct5705007574015
91378740022632
10404400044045
11146561311638
126646090b325
132c19a0b83ba
14158046cd4bb
15a7bcd40415
hex5e281ef80d

404400044045 has 16 divisors (see below), whose sum is σ = 531544077360. Its totient is φ = 293989807104.

The previous prime is 404400044033. The next prime is 404400044071. The reversal of 404400044045 is 540440004404.

It can be written as a sum of positive squares in 8 ways, for example, as 26936030884 + 377464013161 = 164122^2 + 614381^2 .

It is a cyclic number.

It is not a de Polignac number, because 404400044045 - 228 = 404131608589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 404400043999 and 404400044017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82025942 + ... + 82030871.

It is an arithmetic number, because the mean of its divisors is an integer number (33221504835).

Almost surely, 2404400044045 is an apocalyptic number.

It is an amenable number.

404400044045 is a deficient number, since it is larger than the sum of its proper divisors (127144033315).

404400044045 is a wasteful number, since it uses less digits than its factorization.

404400044045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164056864.

The product of its (nonzero) digits is 20480, while the sum is 29.

Adding to 404400044045 its reverse (540440004404), we get a palindrome (944840048449).

The spelling of 404400044045 in words is "four hundred four billion, four hundred million, forty-four thousand, forty-five".

Divisors: 1 5 17 29 85 145 493 2465 164056813 820284065 2788965821 4757647577 13944829105 23788237885 80880008809 404400044045