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33441071161 = 1723123472
BaseRepresentation
bin11111001001001111…
…100100000000111001
310012022120021102121011
4133021033210000321
51021441403234121
623210154113521
72262462262201
oct371117440071
9105276242534
1033441071161
11132006817a3
12659341b8a1
1331cc26b194
141893467401
15d0ac957e1
hex7c93e4039

33441071161 has 27 divisors (see below), whose sum is σ = 36812892207. Its totient is φ = 30370883520.

The previous prime is 33441071137. The next prime is 33441071177. The reversal of 33441071161 is 16117014433.

It is a happy number.

The square root of 33441071161 is 182869.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26035436025 + 7405635136 = 161355^2 + 86056^2 .

It is not a de Polignac number, because 33441071161 - 219 = 33440546873 is a prime.

It is a super-3 number, since 3×334410711613 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33441071101) 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 in 26 ways as a sum of consecutive naturals, for example, 96371790 + ... + 96372136.

Almost surely, 233441071161 is an apocalyptic number.

33441071161 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

33441071161 is the 182869-th square number.

33441071161 is the 91435-th centered octagonal number.

It is an amenable number.

33441071161 is a deficient number, since it is larger than the sum of its proper divisors (3371821046).

33441071161 is an frugal number, since it uses more digits than its factorization.

33441071161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 33441071161 its reverse (16117014433), we get a palindrome (49558085594).

The spelling of 33441071161 in words is "thirty-three billion, four hundred forty-one million, seventy-one thousand, one hundred sixty-one".

Divisors: 1 17 31 289 347 527 961 5899 8959 10757 16337 100283 120409 182869 277729 333467 2046953 3108773 3732679 5668939 34798201 63455543 96371963 115713049 1078744231 1967121833 33441071161