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242210314300312 = 23432157540719289
BaseRepresentation
bin110111000100100111111011…
…101111101010101110011000
31011202121002011020212100110001
4313010213323233222232120
5223221333210430102222
62215045514324102344
7102006055245054661
oct6704477357525630
91152532136770401
10242210314300312
11701a28aa015936
12231b9b942349b4
13a51c447261147
1443b508284a368
151d006a59a1e27
hexdc49fbbeab98

242210314300312 has 96 divisors (see below), whose sum is σ = 468023726851200. Its totient is φ = 117507496684032.

The previous prime is 242210314300307. The next prime is 242210314300321. The reversal of 242210314300312 is 213003413012242.

It is a super-2 number, since 2×2422103143003122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12556904364 + ... + 12556923652.

It is an arithmetic number, because the mean of its divisors is an integer number (4875247154700).

Almost surely, 2242210314300312 is an apocalyptic number.

It is an amenable number.

242210314300312 is a deficient number, since it is larger than the sum of its proper divisors (225813412550888).

242210314300312 is a wasteful number, since it uses less digits than its factorization.

242210314300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24945 (or 24898 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 242210314300312 its reverse (213003413012242), we get a palindrome (455213727312554).

The spelling of 242210314300312 in words is "two hundred forty-two trillion, two hundred ten billion, three hundred fourteen million, three hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 43 86 157 172 314 344 628 1256 1849 3698 5407 6751 7396 10814 13502 14792 19289 21628 27004 38578 43256 54008 77156 154312 232501 290293 465002 580586 829427 848899 930004 1161172 1658854 1697798 1860008 2322344 3028373 3317708 3395596 6056746 6635416 6791192 9997543 12113492 19995086 24226984 35665361 36502657 39990172 71330722 73005314 79980344 104295623 130220039 142661444 146010628 208591246 260440078 285322888 292021256 417182492 520880156 834364984 1041760312 1569614251 3139228502 4484711789 5599461677 6278457004 8969423578 11198923354 12556914008 16374412811 17938847156 22397846708 32748825622 35877694312 44795693416 65497651244 130995302488 192842606927 385685213854 704099750873 771370427708 1408199501746 1542740855416 2816399003492 5632798006984 30276289287539 60552578575078 121105157150156 242210314300312