Search a number
-
+
3443581141033 = 112296154729411
BaseRepresentation
bin110010000111000101011…
…011100100000000101001
3110012012111002102222220111
4302013011123210000221
5422404423233003113
611153543114454321
7503535102513235
oct62070533440051
913165432388814
103443581141033
111108461864400
124774804343a1
131bc961129957
14bc9551075c5
155e89720d13d
hex321c56e4029

3443581141033 has 48 divisors (see below), whose sum is σ = 3987215426880. Its totient is φ = 2967492528000.

The previous prime is 3443581140991. The next prime is 3443581141051. The reversal of 3443581141033 is 3301411853443.

It is a happy number.

It is not a de Polignac number, because 3443581141033 - 241 = 1244557885481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3443581141633) 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 47 ways as a sum of consecutive naturals, for example, 117070098 + ... + 117099508.

It is an arithmetic number, because the mean of its divisors is an integer number (83066988060).

Almost surely, 23443581141033 is an apocalyptic number.

It is an amenable number.

3443581141033 is a deficient number, since it is larger than the sum of its proper divisors (543634285847).

3443581141033 is a wasteful number, since it uses less digits than its factorization.

3443581141033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30070 (or 30059 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 3443581141033 its reverse (3301411853443), we get a palindrome (6744992994476).

The spelling of 3443581141033 in words is "three trillion, four hundred forty-three billion, five hundred eighty-one million, one hundred forty-one thousand, thirty-three".

Divisors: 1 11 29 61 121 319 547 671 1769 3509 6017 7381 15863 19459 29411 33367 66187 174493 214049 323521 367037 852919 967643 1794071 1919423 3558731 4037407 9382109 10644073 16087817 19734781 52028059 103203199 117084803 176965987 217082591 466546693 572308649 981356837 1946625857 5132013623 6295395139 10794925207 28459348273 56452149853 118744177277 313052831003 3443581141033