Search a number
-
+
34134266243143 = 115999015312107
BaseRepresentation
bin1111100001011100000001…
…10100000110100001000111
311110212012111201000022102101
413300232000310012201013
513433223434124240033
6200333022044452531
710122055636546333
oct760560064064107
9143765451008371
1034134266243143
11a970296463430
1239b354884a147
131607b02c3ca21
148601706127c3
153e2d9d40e97d
hex1f0b80d06847

34134266243143 has 16 divisors (see below), whose sum is σ = 37872355259520. Its totient is φ = 30502112652000.

The previous prime is 34134266243123. The next prime is 34134266243201.

34134266243143 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34134266243143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34134266243093 and 34134266243102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134266243123) 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, 3769696 + ... + 9081802.

It is an arithmetic number, because the mean of its divisors is an integer number (2367022203720).

Almost surely, 234134266243143 is an apocalyptic number.

34134266243143 is a deficient number, since it is larger than the sum of its proper divisors (3738089016377).

34134266243143 is a wasteful number, since it uses less digits than its factorization.

34134266243143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322078.

The product of its digits is 2985984, while the sum is 46.

It can be divided in two parts, 3413426 and 6243143, that added together give a palindrome (9656569).

The spelling of 34134266243143 in words is "thirty-four trillion, one hundred thirty-four billion, two hundred sixty-six million, two hundred forty-three thousand, one hundred forty-three".

Divisors: 1 11 59 649 9901 108911 584159 5312107 6425749 58433177 313414313 3447557443 52595171407 578546885477 3103115113013 34134266243143