Search a number
-
+
40033332733 is a prime number
BaseRepresentation
bin100101010010001011…
…000010110111111101
310211022222210000102011
4211102023002313331
51123442013121413
630220245131221
72615030466532
oct452213026775
9124288700364
1040033332733
1115a83855459
1279130b9b11
133a0cc53484
141d1aba6d89
1510948bd33d
hex9522c2dfd

40033332733 has 2 divisors, whose sum is σ = 40033332734. Its totient is φ = 40033332732.

The previous prime is 40033332727. The next prime is 40033332749. The reversal of 40033332733 is 33723333004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36458847364 + 3574485369 = 190942^2 + 59787^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40033332733 is a prime.

It is a super-2 number, since 2×400333327332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40033332695 and 40033332704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40033332133) 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, 20016666366 + 20016666367.

It is an arithmetic number, because the mean of its divisors is an integer number (20016666367).

Almost surely, 240033332733 is an apocalyptic number.

It is an amenable number.

40033332733 is a deficient number, since it is larger than the sum of its proper divisors (1).

40033332733 is an equidigital number, since it uses as much as digits as its factorization.

40033332733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 31.

Adding to 40033332733 its reverse (33723333004), we get a palindrome (73756665737).

The spelling of 40033332733 in words is "forty billion, thirty-three million, three hundred thirty-two thousand, seven hundred thirty-three".