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234022323014312 = 237431011747755057
BaseRepresentation
bin110101001101011110010001…
…011011101100101010101000
31010200121022112001201010210112
4311031132101123230222220
5221133210204142424222
62145420212050233452
7100202361216350420
oct6515362133545250
91120538461633715
10234022323014312
1168626345435028
12222b7116585888
13a077297243a61
1441b0a52d35480
151c0c6ce9a9be2
hexd4d7916ecaa8

234022323014312 has 128 divisors (see below), whose sum is σ = 518258293597440. Its totient is φ = 96985592524800.

The previous prime is 234022323014309. The next prime is 234022323014321. The reversal of 234022323014312 is 213410323220432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4250518688 + ... + 4250573744.

It is an arithmetic number, because the mean of its divisors is an integer number (4048892918730).

Almost surely, 2234022323014312 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 234022323014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259129146798720).

234022323014312 is an abundant number, since it is smaller than the sum of its proper divisors (284235970583128).

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

234022323014312 is a wasteful number, since it uses less digits than its factorization.

234022323014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72691 (or 72687 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 234022323014312 its reverse (213410323220432), we get a palindrome (447432646234744).

The spelling of 234022323014312 in words is "two hundred thirty-four trillion, twenty-two billion, three hundred twenty-three million, fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 43 56 86 101 172 202 301 344 404 602 707 808 1204 1414 2408 2828 4343 5656 8686 17372 17477 30401 34744 34954 55057 60802 69908 110114 121604 122339 139816 220228 243208 244678 385399 440456 489356 751511 770798 978712 1503022 1541596 1765177 2367451 3006044 3083192 3530354 4734902 5260577 5560757 6012088 7060708 9469804 10521154 11121514 12356239 14121416 16572157 18939608 21042308 22243028 24712478 33144314 38925299 42084616 44486056 49424956 66288628 75902611 77850598 98849912 132577256 151805222 155701196 239112551 303610444 311402392 478225102 531318277 607220888 956450204 962231189 1062636554 1673787857 1912900408 1924462378 2125273108 3347575714 3848924756 4250546216 6695151428 6735618323 7697849512 13390302856 13471236646 26942473292 41375941127 53884946584 82751882254 97185350089 165503764508 194370700178 289631587889 331007529016 388741400356 579263175778 680297450623 777482800712 1158526351556 1360594901246 2317052703112 2721189802492 4178970053827 5442379604984 8357940107654 16715880215308 29252790376789 33431760430616 58505580753578 117011161507156 234022323014312