Search a number
-
+
34123355332143 = 3711147720152953
BaseRepresentation
bin1111100001000111101100…
…11110010001111000101111
311110211011100022012121022120
413300203312132101320233
513433034112431112033
6200324015242044023
710121221361413230
oct760436636217057
9143734308177276
1034123355332143
11a9666a7544510
1239b14027a9613
131606a8460877c
1485d8174d3087
153e29605bc1b3
hex1f08f6791e2f

34123355332143 has 16 divisors (see below), whose sum is σ = 56724538734336. Its totient is φ = 17726418354240.

The previous prime is 34123355332117. The next prime is 34123355332159.

34123355332143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34123355332143 - 212 = 34123355328047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34123355332095 and 34123355332104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123355332193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73860076246 + ... + 73860076707.

It is an arithmetic number, because the mean of its divisors is an integer number (3545283670896).

Almost surely, 234123355332143 is an apocalyptic number.

34123355332143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34123355332143 is a deficient number, since it is larger than the sum of its proper divisors (22601183402193).

34123355332143 is a wasteful number, since it uses less digits than its factorization.

34123355332143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147720152974.

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 3412335 and 5332143, that added together give a palindrome (8744478).

The spelling of 34123355332143 in words is "thirty-four trillion, one hundred twenty-three billion, three hundred fifty-five million, three hundred thirty-two thousand, one hundred forty-three".

Divisors: 1 3 7 11 21 33 77 231 147720152953 443160458859 1034041070671 1624921682483 3102123212013 4874765047449 11374451777381 34123355332143