Search a number
-
+
243316361214 = 2354199771223
BaseRepresentation
bin1110001010011011001…
…0010000011111111110
3212021001010122211100000
43202212302100133332
512441302442024324
6303440014015130
723402414642253
oct3424662203776
9767033584300
10243316361214
119420a819533
123b1a61a74a6
1319c38491b44
14bac2cc742a
1564e11919c9
hex38a6c907fe

243316361214 has 96 divisors (see below), whose sum is σ = 549025102080. Its totient is φ = 80762977152.

The previous prime is 243316361203. The next prime is 243316361219. The reversal of 243316361214 is 412163613342.

243316361214 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 1 + 636 + 1 + 2 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243316361219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198949807 + ... + 198951029.

It is an arithmetic number, because the mean of its divisors is an integer number (5719011480).

Almost surely, 2243316361214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243316361214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274512551040).

243316361214 is an abundant number, since it is smaller than the sum of its proper divisors (305708740866).

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

243316361214 is a wasteful number, since it uses less digits than its factorization.

243316361214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2624 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 243316361214 its reverse (412163613342), we get a palindrome (655479974556).

The spelling of 243316361214 in words is "two hundred forty-three billion, three hundred sixteen million, three hundred sixty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 419 486 838 977 1223 1257 1954 2446 2514 2931 3669 3771 5862 7338 7542 8793 11007 11313 17586 22014 22626 26379 33021 33939 52758 66042 67878 79137 99063 101817 158274 198126 203634 237411 297189 409363 474822 512437 594378 818726 1024874 1194871 1228089 1537311 2389742 2456178 3074622 3584613 3684267 4611933 7169226 7368534 9223866 10753839 11052801 13835799 21507678 22105602 27671598 32261517 33158403 41507397 64523034 66316806 83014794 96784551 99475209 124522191 193569102 198950418 249044382 290353653 500650949 580707306 1001301898 1501952847 3003905694 4505858541 9011717082 13517575623 27035151246 40552726869 81105453738 121658180607 243316361214