Search a number
-
+
334143341433 = 321110332768789
BaseRepresentation
bin1001101110011000111…
…11101100001101111001
31011221111000122111001100
410313030133230031321
520433311143411213
6413300415242013
733066245352666
oct4671437541571
91157430574040
10334143341433
11119789229050
1254913b19309
1325681722615
141225b974a6d
158a59e24773
hex4dcc7ec379

334143341433 has 24 divisors (see below), whose sum is σ = 531640848960. Its totient is φ = 200544982560.

The previous prime is 334143341419. The next prime is 334143341437.

334143341433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334143341433 - 25 = 334143341401 is a prime.

It is a super-2 number, since 2×3341433414332 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334143341437) 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 23 ways as a sum of consecutive naturals, for example, 16374198 + ... + 16394591.

It is an arithmetic number, because the mean of its divisors is an integer number (22151702040).

Almost surely, 2334143341433 is an apocalyptic number.

334143341433 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

334143341433 is a deficient number, since it is larger than the sum of its proper divisors (197497507527).

334143341433 is a wasteful number, since it uses less digits than its factorization.

334143341433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32768909 (or 32768906 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 334143 and 341433, that added together give a palindrome (675576).

The spelling of 334143341433 in words is "three hundred thirty-four billion, one hundred forty-three million, three hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 11 33 99 103 309 927 1133 3399 10197 32768789 98306367 294919101 360456679 1081370037 3244110111 3375185267 10125555801 30376667403 37127037937 111381113811 334143341433