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3434401132041 = 311597471741891
BaseRepresentation
bin110001111110100010010…
…000100110111000001001
3110011022210022122012222110
4301332202100212320021
5422232123142211131
611145424143212533
7503061442645515
oct61764220467011
913138708565873
103434401132041
1111045809a4810
12475739ba7149
131bbb2a2a1679
14bc323c35145
155e50b325646
hex31fa2426e09

3434401132041 has 16 divisors (see below), whose sum is σ = 4995579034368. Its totient is φ = 2081419198800.

The previous prime is 3434401132013. The next prime is 3434401132079. The reversal of 3434401132041 is 1402311044343.

It is not a de Polignac number, because 3434401132041 - 213 = 3434401123849 is a prime.

It is a super-2 number, since 2×34344011320412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3434401131041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100706 + ... + 2842596.

It is an arithmetic number, because the mean of its divisors is an integer number (312223689648).

Almost surely, 23434401132041 is an apocalyptic number.

It is an amenable number.

3434401132041 is a deficient number, since it is larger than the sum of its proper divisors (1561177902327).

3434401132041 is a wasteful number, since it uses less digits than its factorization.

3434401132041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801652.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3434401132041 its reverse (1402311044343), we get a palindrome (4836712176384).

The spelling of 3434401132041 in words is "three trillion, four hundred thirty-four billion, four hundred one million, one hundred thirty-two thousand, forty-one".

Divisors: 1 3 11 33 59747 179241 657217 1741891 1971651 5225673 19160801 57482403 104072761577 312218284731 1144800377347 3434401132041