Search a number
-
+
613143341316 = 2232111548341771
BaseRepresentation
bin10001110110000100011…
…00001110100100000100
32011121122000100222021100
420323002030032210010
540021204143410231
61145401341420100
762204156260242
oct10730214164404
92147560328240
10613143341316
1121703a482450
129a9b856a630
1345a8593934c
1421967a83792
1510e38b861e6
hex8ec230e904

613143341316 has 36 divisors (see below), whose sum is σ = 1690789215024. Its totient is φ = 185801012400.

The previous prime is 613143341297. The next prime is 613143341347.

613143341316 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 4 + 334 + 1 + 316 = 666.

613143341316 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6131433413162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774170490 + ... + 774171281.

It is an arithmetic number, because the mean of its divisors is an integer number (46966367084).

Almost surely, 2613143341316 is an apocalyptic number.

613143341316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

613143341316 is an abundant number, since it is smaller than the sum of its proper divisors (1077645873708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613143341316 is a wasteful number, since it uses less digits than its factorization.

613143341316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548341792 (or 1548341787 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 613143 and 341316, that added together give a palindrome (954459).

The spelling of 613143341316 in words is "six hundred thirteen billion, one hundred forty-three million, three hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1548341771 3096683542 4645025313 6193367084 9290050626 13935075939 17031759481 18580101252 27870151878 34063518962 51095278443 55740303756 68127037924 102190556886 153285835329 204381113772 306571670658 613143341316