Search a number
-
+
40133543242333 is a prime number
BaseRepresentation
bin10010010000000010100011…
…00101101010101001011101
312021002201200122002121122211
421020001101211222221131
520230021444032223313
6221205032323240421
711311360420631452
oct1110012145525135
9167081618077584
1040133543242333
11118735a3976652
124602196519111
131951766569198
149ca68c39b829
15498e73b7ee3d
hex24805196aa5d

40133543242333 has 2 divisors, whose sum is σ = 40133543242334. Its totient is φ = 40133543242332.

The previous prime is 40133543242283. The next prime is 40133543242349. The reversal of 40133543242333 is 33324234533104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34795216170009 + 5338327072324 = 5898747^2 + 2310482^2 .

It is a cyclic number.

It is not a de Polignac number, because 40133543242333 - 229 = 40133006371421 is a prime.

It is a super-2 number, since 2×401335432423332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40133543242433) 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 as a sum of consecutive naturals, namely, 20066771621166 + 20066771621167.

It is an arithmetic number, because the mean of its divisors is an integer number (20066771621167).

Almost surely, 240133543242333 is an apocalyptic number.

It is an amenable number.

40133543242333 is a deficient number, since it is larger than the sum of its proper divisors (1).

40133543242333 is an equidigital number, since it uses as much as digits as its factorization.

40133543242333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 40.

Adding to 40133543242333 its reverse (33324234533104), we get a palindrome (73457777775437).

The spelling of 40133543242333 in words is "forty trillion, one hundred thirty-three billion, five hundred forty-three million, two hundred forty-two thousand, three hundred thirty-three".