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3413886883143 = 3112173311671343
BaseRepresentation
bin110001101011011011100…
…000111101010101000111
3110002100211122110101212020
4301223123200331111013
5421413120020230033
611132152403454223
7501434204500632
oct61533340752507
913070748411766
103413886883143
1110a6904166a00
12471773987373
131b9c0b1c3159
14bb339528c19
155dc0a3796b3
hex31adb83d547

3413886883143 has 48 divisors (see below), whose sum is σ = 5313590327808. Its totient is φ = 1941430867200.

The previous prime is 3413886883117. The next prime is 3413886883153.

It is a happy number.

3413886883143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3413886883143 - 212 = 3413886879047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413886883153) 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 47 ways as a sum of consecutive naturals, for example, 1206930 + ... + 2878272.

It is an arithmetic number, because the mean of its divisors is an integer number (110699798496).

Almost surely, 23413886883143 is an apocalyptic number.

3413886883143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3413886883143 is a deficient number, since it is larger than the sum of its proper divisors (1899703444665).

3413886883143 is a wasteful number, since it uses less digits than its factorization.

3413886883143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671716 (or 1671705 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 3413886883143 in words is "three trillion, four hundred thirteen billion, eight hundred eighty-six million, eight hundred eighty-three thousand, one hundred forty-three".

Divisors: 1 3 11 17 33 51 121 187 331 363 561 993 2057 3641 5627 6171 10923 16881 40051 61897 120153 185691 680867 1671343 2042601 5014029 18384773 28412831 55154319 85238493 202232503 312541141 553214533 606697509 937623423 1659643599 3437952551 6085359863 9404647061 10313857653 18256079589 28213941183 66938958493 103451117671 200816875479 310353353013 1137962294381 3413886883143