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233241343142332 = 227210180914563963
BaseRepresentation
bin110101000010000110111011…
…011001111010100110111100
31010120211122200020022000101211
4311002012323121322212330
5221032411232321023312
62144021332133214204
7100062062626102600
oct6502067331724674
91116748606260354
10233241343142332
1168355109683aa8
12221ab899a91364
13a01b744961605
144184d26aa7500
151be72213cb3a7
hexd421bb67a9bc

233241343142332 has 72 divisors (see below), whose sum is σ = 480106607566320. Its totient is φ = 98848522886400.

The previous prime is 233241343142263. The next prime is 233241343142351.

233241343142332 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8732983 + ... + 23296945.

It is an arithmetic number, because the mean of its divisors is an integer number (6668147327310).

Almost surely, 2233241343142332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233241343142332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240053303783160).

233241343142332 is an abundant number, since it is smaller than the sum of its proper divisors (246865264423988).

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

233241343142332 is a wasteful number, since it uses less digits than its factorization.

233241343142332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14564891 (or 14564882 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

The spelling of 233241343142332 in words is "two hundred thirty-three trillion, two hundred forty-one billion, three hundred forty-three million, one hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 809 1414 1618 2828 3236 4949 5663 9898 11326 19796 22652 39641 79282 81709 158564 163418 326836 571963 1143926 2287852 4003741 8007482 14563963 16014964 29127926 58255852 101947741 203895482 407790964 713634187 1427268374 1470960263 2854536748 2941920526 5883841052 10296721841 11782246067 20593443682 23564492134 41186887364 47128984268 72077052887 82475722469 144154105774 164951444938 288308211548 329902889876 577330057283 1154660114566 1190006852767 2309320229132 2380013705534 4760027411068 8330047969369 16660095938738 33320191877476 58310335785583 116620671571166 233241343142332