Search a number
-
+
40322403201321 = 3217077262356797
BaseRepresentation
bin10010010101100010010101…
…00001001111000100101001
312021202210011121102120202200
421022301022201033010221
520241120240204420241
6221431504543450413
711331124512042003
oct1112611241170451
9167683147376680
1040322403201321
11119366a944a08a
1246329032b6a09
13196650393aac7
149d5886b57373
1549dd291014b6
hex24ac4a84f129

40322403201321 has 12 divisors (see below), whose sum is σ = 58246882151172. Its totient is φ = 26880027890976.

The previous prime is 40322403201317. The next prime is 40322403201337. The reversal of 40322403201321 is 12310230422304.

40322403201321 is a `hidden beast` number, since 4 + 0 + 3 + 22 + 403 + 201 + 32 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16354906574400 + 23967496626921 = 4044120^2 + 4895661^2 .

It is not a de Polignac number, because 40322403201321 - 22 = 40322403201317 is a prime.

It is a super-2 number, since 2×403224032013212 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40322403202321) 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 11 ways as a sum of consecutive naturals, for example, 131024706 + ... + 131332091.

It is an arithmetic number, because the mean of its divisors is an integer number (4853906845931).

Almost surely, 240322403201321 is an apocalyptic number.

It is an amenable number.

40322403201321 is a deficient number, since it is larger than the sum of its proper divisors (17924478949851).

40322403201321 is a wasteful number, since it uses less digits than its factorization.

40322403201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262373880 (or 262373877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40322403201321 its reverse (12310230422304), we get a palindrome (52632633623625).

The spelling of 40322403201321 in words is "forty trillion, three hundred twenty-two billion, four hundred three million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 17077 51231 153693 262356797 787070391 2361211173 4480267022369 13440801067107 40322403201321