Search a number
-
+
33040424429 is a prime number
BaseRepresentation
bin11110110001010111…
…001101110111101101
310011021122101110121022
4132301113031313231
51020131322040204
623102322543525
72246525655005
oct366127156755
9104248343538
1033040424429
11130155049a1
1264a1207ba5
1331672613cc
141856175005
15cd5a055be
hex7b15cdded

33040424429 has 2 divisors, whose sum is σ = 33040424430. Its totient is φ = 33040424428.

The previous prime is 33040424423. The next prime is 33040424503. The reversal of 33040424429 is 92442404033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20801427529 + 12238996900 = 144227^2 + 110630^2 .

It is a cyclic number.

It is not a de Polignac number, because 33040424429 - 28 = 33040424173 is a prime.

It is a super-3 number, since 3×330404244293 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33040424423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16520212214 + 16520212215.

It is an arithmetic number, because the mean of its divisors is an integer number (16520212215).

Almost surely, 233040424429 is an apocalyptic number.

It is an amenable number.

33040424429 is a deficient number, since it is larger than the sum of its proper divisors (1).

33040424429 is an equidigital number, since it uses as much as digits as its factorization.

33040424429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 33040424429 in words is "thirty-three billion, forty million, four hundred twenty-four thousand, four hundred twenty-nine".