Search a number
-
+
34148399384143 = 1117917343016447
BaseRepresentation
bin1111100001110110010110…
…01101110000011001001111
311110220112222200000021010001
413300323023031300121033
513433441410220243033
6200343320315025131
710123066112350132
oct760731315603117
9143815880007101
1034148399384143
11a976289229450
1239b6231a3b1a7
131609245cc6c55
14860b11666219
153e3429091e7d
hex1f0ecb37064f

34148399384143 has 8 divisors (see below), whose sum is σ = 37460915527680. Its totient is φ = 30870569273880.

The previous prime is 34148399384119. The next prime is 34148399384153.

It is a happy number.

34148399384143 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 not a de Polignac number, because 34148399384143 - 241 = 31949376128591 is a prime.

It is a super-2 number, since 2×341483993841432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34148399384153) 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, 8671506255 + ... + 8671510192.

It is an arithmetic number, because the mean of its divisors is an integer number (4682614440960).

Almost surely, 234148399384143 is an apocalyptic number.

34148399384143 is a deficient number, since it is larger than the sum of its proper divisors (3312516143537).

34148399384143 is a wasteful number, since it uses less digits than its factorization.

34148399384143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17343016637.

The product of its digits is 107495424, while the sum is 64.

The spelling of 34148399384143 in words is "thirty-four trillion, one hundred forty-eight billion, three hundred ninety-nine million, three hundred eighty-four thousand, one hundred forty-three".

Divisors: 1 11 179 1969 17343016447 190773180917 3104399944013 34148399384143