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33040144429 is a prime number
BaseRepresentation
bin11110110001010110…
…001001100000101101
310011021121212020111221
4132301112021200231
51020131234110204
623102312543341
72246523410455
oct366126114055
9104247766457
1033040144429
1113015333596
1264a10b1b51
133167193b26
141856100d65
15cd599c654
hex7b158982d

33040144429 has 2 divisors, whose sum is σ = 33040144430. Its totient is φ = 33040144428.

The previous prime is 33040144427. The next prime is 33040144469. The reversal of 33040144429 is 92444104033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20649115204 + 12391029225 = 143698^2 + 111315^2 .

It is a cyclic number.

It is not a de Polignac number, because 33040144429 - 21 = 33040144427 is a prime.

It is a super-2 number, since 2×330401444292 (a number of 22 digits) contains 22 as substring.

Together with 33040144427, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33040144394 and 33040144403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33040144427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16520072214 + 16520072215.

It is an arithmetic number, because the mean of its divisors is an integer number (16520072215).

Almost surely, 233040144429 is an apocalyptic number.

It is an amenable number.

33040144429 is a deficient number, since it is larger than the sum of its proper divisors (1).

33040144429 is an equidigital number, since it uses as much as digits as its factorization.

33040144429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 33040144429 in words is "thirty-three billion, forty million, one hundred forty-four thousand, four hundred twenty-nine".