Search a number
-
+
243312231141 = 32737049104243
BaseRepresentation
bin1110001010011010001…
…0100000001011100101
3212021000211212222221100
43202212202200023211
512441300412344031
6303435345310313
723402334561240
oct3424642401345
9767024788840
10243312231141
1194208458551
123b1a4935399
1319c37677005
14bac2530257
1564e0b27de6
hex38a68a02e5

243312231141 has 24 divisors (see below), whose sum is σ = 401672980800. Its totient is φ = 139030474176.

The previous prime is 243312231133. The next prime is 243312231163. The reversal of 243312231141 is 141132213342.

243312231141 is a `hidden beast` number, since 2 + 433 + 1 + 223 + 1 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 243312231141 - 23 = 243312231133 is a prime.

It is a super-2 number, since 2×2433122311412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243312231121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2281966 + ... + 2386208.

It is an arithmetic number, because the mean of its divisors is an integer number (16736374200).

Almost surely, 2243312231141 is an apocalyptic number.

243312231141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

243312231141 is a deficient number, since it is larger than the sum of its proper divisors (158360749659).

243312231141 is a wasteful number, since it uses less digits than its factorization.

243312231141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141305 (or 141302 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 243312231141 its reverse (141132213342), we get a palindrome (384444444483).

The spelling of 243312231141 in words is "two hundred forty-three billion, three hundred twelve million, two hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 37049 104243 111147 259343 312729 333441 729701 778029 938187 2189103 2334087 6567309 3862098907 11586296721 27034692349 34758890163 81104077047 243312231141