Search a number
-
+
400200324410131 = 71792325457125303
BaseRepresentation
bin101101011111110101110011…
…0001011001110101100010011
31221110222202222200222112200021
41122333223212023032230103
5404423340231022111011
63535053254014204311
7150203343054213430
oct13277534613165423
91843882880875607
10400200324410131
11106575005a23a43
1238a75606ab3697
131423c961b3358b
1470b7b28854b87
1531401decd4471
hex16bfae62ceb13

400200324410131 has 16 divisors (see below), whose sum is σ = 457418935954944. Its totient is φ = 342993499046784.

The previous prime is 400200324410111. The next prime is 400200324410137. The reversal of 400200324410131 is 131014423002004.

It is a cyclic number.

It is not a de Polignac number, because 400200324410131 - 211 = 400200324408083 is a prime.

It is a super-2 number, since 2×4002003244101312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400200324410096 and 400200324410105.

It is not an unprimeable number, because it can be changed into a prime (400200324410137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3193798026 + ... + 3193923328.

It is an arithmetic number, because the mean of its divisors is an integer number (28588683497184).

Almost surely, 2400200324410131 is an apocalyptic number.

400200324410131 is a deficient number, since it is larger than the sum of its proper divisors (57218611544813).

400200324410131 is a wasteful number, since it uses less digits than its factorization.

400200324410131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168690.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 400200324410131 its reverse (131014423002004), we get a palindrome (531214747412135).

The spelling of 400200324410131 in words is "four hundred trillion, two hundred billion, three hundred twenty-four million, four hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 17923 25457 125303 125461 178199 877121 456265811 2245805669 3189838471 3193860677 15720639683 22328869297 57171474915733 400200324410131