Search a number
-
+
33322401343041 = 3179710463643781
BaseRepresentation
bin1111001001110011110011…
…11001010010011001000001
311100222120221102222012022020
413210321321321102121001
513331423234220434131
6154512033322232053
710006315112011656
oct744717171223101
9140876842865266
1033322401343041
11a687a50932678
1238a2130955629
13157939ab11705
14832b54599c2d
153cbbd3686996
hex1e4e79e52641

33322401343041 has 32 divisors (see below), whose sum is σ = 47532989887488. Its totient is φ = 20690615377920.

The previous prime is 33322401343013. The next prime is 33322401343043. The reversal of 33322401343041 is 14034310422333.

It is a happy number.

It is not a de Polignac number, because 33322401343041 - 25 = 33322401343009 is a prime.

It is a super-2 number, since 2×333224013430412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33322401342993 and 33322401343011.

It is not an unprimeable number, because it can be changed into a prime (33322401343043) 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 in 31 ways as a sum of consecutive naturals, for example, 51438571 + ... + 52082351.

It is an arithmetic number, because the mean of its divisors is an integer number (1485405933984).

Almost surely, 233322401343041 is an apocalyptic number.

It is an amenable number.

33322401343041 is a deficient number, since it is larger than the sum of its proper divisors (14210588544447).

33322401343041 is a wasteful number, since it uses less digits than its factorization.

33322401343041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654361.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 33322401343041 its reverse (14034310422333), we get a palindrome (47356711765374).

The spelling of 33322401343041 in words is "thirty-three trillion, three hundred twenty-two billion, four hundred one million, three hundred forty-three thousand, forty-one".

Divisors: 1 3 17 51 97 291 1649 4947 10463 31389 177871 533613 643781 1014911 1931343 3044733 10944277 17253487 32832831 51760461 62446757 187340271 1061594869 3184784607 6735880603 20207641809 114509970251 343529910753 653380418491 1960141255473 11107467114347 33322401343041