42680488290666345
42,680,488,290,666,345 is an odd composite number composed of six prime numbers multiplied together.
What does the number 42680488290666345 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42680488290666345 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42680488290666345:
35 × 5 × 73 × 232 × 413 × 532
(3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 23 × 23 × 41 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 42680488290666345 from the Numbermatics database.
Names of 42680488290666345
- Cardinal: 42680488290666345 can be written as Forty-two quadrillion, six hundred eighty trillion, four hundred eighty-eight billion, two hundred ninety million, six hundred sixty-six thousand, three hundred forty-five.
Scientific notation
- Scientific notation: 4.2680488290666345 × 1016
Factors of 42680488290666345
Divisors of 42680488290666345
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 15 21 23 27 35 41 45 49 53 63 69 81 105 115 123 135 147 159 161 189 205 207 243 245 265 287 315 343 345 369 371 405 441 477 483 529 567 615 621 735 795 805 861 943 945 1029 1035 1107 1113 1127 1215 1219 1323 1431 1435 1449 1587 1681 1701 1715 1845 1855 1863 2009 2173 2205 2385 2415 2583 2597 2645 2809 2829 2835 3087 3105 3321 3339 3381 3657 3703 3969 4293 4305 4347 4715 4761 5043 5145 5535 5565 5589 5635 6027 6095 6519 6601 6615 7155 7245 7749 7791 7889 7935 8405 8427 8487 8505 8533 9261 9315 9963 10017 10045 10143 10865 10971 11109 11767 11907 12879 12915 12985 13041 14045 14063 14145 14283 15129 15211 15435 16605 16695 16905 18081 18179 18285 18515 19557 19663 19803 19845 21465 21689 21735 23247 23373 23667 23805 25215 25281 25461 25599 25921 27783 27945 28037 30051 30135 30429 32595 32913 33005 33327 35301 38663 38745 38955 39123 39445 42135 42189 42435 42665 42849 45387 45633 46207 46305 49815 49979 50085 50715 54243 54537 54855 55545 58671 58835 58989 59409 59535 59731 64395 64607 65067 65205 68921 69741 70119 70315 71001 71415 75645 75843 76055 76383 76797 77763 82369 83349 84111 89093 90153 90405 90895 91287 97785 98315 98739 99015 99981 105903 106477 108445 115169 115989 116235 116865 118335 126405 126567 127305 127995 128547 129605 136161 136899 137641 138621 138915 140185 149937 150255 151823 152145 162729 163611 164565 166635 176013 176505 176967 178227 179193 181447 193315 193821 195201 195615 196259 206763 210357 210945 213003 214245 226935 227529 228165 229149 230391 231035 233289 247107 249895 252333 267279 270641 271215 272685 273861 293355 294945 296217 297045 298655 299943 317709 319431 323035 323449 325335 344605 345507 347967 348705 349853 350595 355005 379215 379701 381915 383985 388815 408483 410697 411845 412923 415863 416745 418117 420555 445465 449811 450765 452249 455469 456435 482447 488187 490833 493695 499905 528039 529515 530901 532385 534681 537579 544341 575845 576583 579945 581463 585603 588777 620289 623651 631071 632835 639009 642735 680805 682587 684495 688205 691173 693105 699867 741321 745339 749685 756999 759115 801837 806183 811923 813645 818055 880065 884835 889249 891135 895965 899829 907235 953127 958293 963487 969105 970347 976005 981295 1033815 1036521 1043901 1049559 1051785 1062761 1065015 1137645 1139103 1145745 1149517 1151955 1166445 1232091 1235535 1238769 1247589 1254351 1261665 1336395 1349433 1353205 1356747 1366407 1369305 1373813 1447341 1472499 1481085 1485961 1499715 1585183 1588545 1592703 1597155 1604043 1612737 1617245 1633023 1727535 1729749 1739835 1744389 1749265 1756809 1766331 1860867 1870953 1894487 1898505 1917027 2042415 2049139 2053485 2064615 2073519 2079315 2090585 2099601 2223963 2236017 2249055 2261245 2270997 2277345 2405511 2412235 2418549 2435769 2440935 2448971 2454165 2640195 2648887 2654505 2667747 2673405 2687895 2721705 2859381 2874879 2882915 2890461 2907315 2911041 2928015 2943885 3101445 3109563 3118255 3131703 3148677 3155355 3165743 3188283 3195045 3377129 3412935 3417309 3448551 3455865 3499335 3652813 3696273 3706605 3716307 3726695 3742767 3763053 3784995 4009185 4030915 4048299 4059615 4070241 4099221 4121439 4342023 4365557 4417497 4446245 4457883 4499145 4721929 4755549 4765635 4778109 4791465 4817435 4838211 4851735 4899069 5182605 5189247 5219505 5233167 5247795 5270427 5298993 5313805 5582601 5612859 5643281 5683461 5695515 5747585 6147417 6160455 6193845 6224743 6237945 6271755 6298803 6671889 6708051 6747165 6783735 6812991 6832035 6869065 7216533 7236705 7255647 7307307 7346913 7362495 7429805 7439327 7925915 7946661 7963515 8003241 8020215 8046619 8063685 8165115 8624637 8648745 8671383 8721945 8733123 8784045 8831655 9304335 9328689 9354765 9395109 9446031 9472435 9497229 9564849 9585135 9616691 10131387 10245695 10345653 10367595 10401727 10498005 10958439 11096281 11119815 11148921 11180085 11228301 11289159 11354985 12027555 12092745 12144897 12178845 12210723 12244855 12297663 12364317 13026069 13096671 13244435 13261409 13338735 13373649 14165787 14266647 14296905 14343973 14374395 14452305 14514633 14555205 14697207 15547815 15567741 15658515 15699501 15743385 15828715 15896979 15941415 16747803 16838577 16885645 16929843 17050383 17086545 17142797 17242755 18264065 18442251 18481365 18542209 18581535 18674229 18713835 18815265 20015667 20124153 20241495 20351205 20496105 20607195 21649599 21710115 21766941 21827785 21921921 22040739 22087485 22160201 22289415 22317981 23609645 23639903 23777745 23839983 23890545 24009723 24139857 24191055 24495345 25569691 25873911 25946235 26014149 26165835 26199369 26352135 26494965 27913005 27986067 28064295 28216405 28338093 28417305 28491687 28694547 28850073 30394161 30558899 30737085 31036959 31123715 31205181 31494015 32875317 33053503 33288843 33359445 33446763 33540255 33867477 34064955 36082665 36278235 36459209 36536535 36632169 36734565 36892989 37092951 37196635 39078207 39290013 39502967 39733305 39784227 40016205 40120947 40233095 42497361 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25389939494745 26893817448435 29455133395905 29742500550987 29825638218495 32260384195515 35012705734755 35127973901783 37870885794735 38347249138065 38555093306835 41237186754267 41477636822805 45164537873721 45260326925415 49570834251645 53019240112629 53686148793291 58068691551927 68728644590445 69399167952303 75274229789535 80681452345305 88365400187715 89476914655485 96781152586545 105383921705349 115041747414195 115665279920505 123711560262801 124432910468415 135493613621163 148712502754935 161058446379873 174206074655781 175639869508915 206185933771335 208197503856909 225822689368605 265096200563145 268430743966455 290343457759635 316151765116047 346995839761515 371134680788403 406480840863489 526919608526745 618557801314005 677468068105815 805292231899365 871030373278905 948455295348141 1040987519284545 1219442522590467 1580758825580235 1855673403942015 2032404204317445 2845365886044423 4742276476740705 6097212612952335 8536097658133269 14226829430222115 42680488290666345
- Sum of all divisors σ(n): 97708959056217600
- Sum of proper divisors (its aliquot sum) s(n): 55028470765551255
- 42680488290666345 is an abundant number, because the sum of its proper divisors (55028470765551255) is greater than itself. Its abundance is 12347982474884910
Bases of 42680488290666345
- Binary: 100101111010000110101101100011110110011111000111011010012
- Hexadecimal: 0x97A1AD8F67C769
- Base-36: BO8YXN2PLK9
Squares and roots of 42680488290666345
- 42680488290666345 squared (426804882906663452) is 1821624080729706984039644115659025
- 42680488290666345 cubed (426804882906663453) is 77747805247580103685509084174432318803566063013625
-
The
square root of 42680488290666345 is 206592565.9133608443 -
The
cube root of 42680488290666345 is 349469.9140106173
Scales and comparisons
How big is 42680488290666345?- 42,680,488,290,666,345 seconds is equal to 1,357,107,508 years, 11 weeks, 4 days, 19 hours, 45 minutes, 45 seconds.
-
To count from 1 to 42,680,488,290,666,345 would take you about four billion, seventy-one million, three hundred twenty-two thousand, five hundred twenty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42680488290666345 cubic inches would be around 29122.5 feet tall.
Recreational maths with 42680488290666345
- 42680488290666345 backwards is 54366609288408624
- 42680488290666345 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42680488290666345's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 42680488290666345 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 42680488290666345 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42680488290666345/
Chicago style:
Numbermatics. 2024. "Number 42680488290666345 - Facts about the integer". https://numbermatics.com/n/42680488290666345/
The information we have on file for 42680488290666345 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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