Search a number
-
+
34133544533143 = 1112592464693807
BaseRepresentation
bin1111100001011010101011…
…10010111111110010010111
311110212010122101222122102101
413300231111302333302113
513433220444400030033
6200332422304022531
710122032024244466
oct760552562776227
9143763571878371
1034133544533143
11a96aa56035a90
1239b3387001a47
131607a1956baa3
148601028269dd
153e2d59d9e97d
hex1f0b55cbfc97

34133544533143 has 8 divisors (see below), whose sum is σ = 37266170376960. Its totient is φ = 31005848079480.

The previous prime is 34133544533119. The next prime is 34133544533147.

34133544533143 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34133544533143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34133544533093 and 34133544533102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133544533147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232333055 + ... + 1232360752.

It is an arithmetic number, because the mean of its divisors is an integer number (4658271297120).

Almost surely, 234133544533143 is an apocalyptic number.

34133544533143 is a deficient number, since it is larger than the sum of its proper divisors (3132625843817).

34133544533143 is a wasteful number, since it uses less digits than its factorization.

34133544533143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464695077.

The product of its digits is 4665600, while the sum is 46.

It can be divided in two parts, 3413354 and 4533143, that added together give a palindrome (7946497).

The spelling of 34133544533143 in words is "thirty-four trillion, one hundred thirty-three billion, five hundred forty-four million, five hundred thirty-three thousand, one hundred forty-three".

Divisors: 1 11 1259 13849 2464693807 27111631877 3103049503013 34133544533143