842133214271712
842,133,214,271,712 is an even composite number composed of eight prime numbers multiplied together.
What does the number 842133214271712 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
842133214271712 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 842133214271712:
25 × 3 × 11 × 17 × 31 × 41 × 521 × 70841
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 31 × 41 × 521 × 70841)See below for interesting mathematical facts about the number 842133214271712 from the Numbermatics database.
Names of 842133214271712
- Cardinal: 842133214271712 can be written as Eight hundred forty-two trillion, one hundred thirty-three billion, two hundred fourteen million, two hundred seventy-one thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 8.42133214271712 × 1014
Factors of 842133214271712
Divisors of 842133214271712
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 31 32 33 34 41 44 48 51 62 66 68 82 88 93 96 102 123 124 132 136 164 176 186 187 204 246 248 264 272 328 341 352 372 374 408 451 492 496 521 527 528 544 561 656 682 697 744 748 816 902 984 992 1023 1042 1054 1056 1122 1271 1312 1353 1364 1394 1488 1496 1563 1581 1632 1804 1968 2046 2084 2091 2108 2244 2542 2706 2728 2788 2976 2992 3126 3162 3608 3813 3936 4092 4168 4182 4216 4488 5084 5412 5456 5576 5731 5797 5984 6252 6324 7216 7626 7667 8184 8336 8364 8432 8857 8976 10168 10824 10912 11152 11462 11594 12504 12648 13981 14432 15252 15334 16151 16368 16672 16728 16864 17193 17391 17714 17952 20336 21361 21607 21648 22304 22924 23001 23188 25008 25296 26571 27962 30504 30668 32302 32736 33456 34386 34782 35428 40672 41943 42722 43214 43296 45848 46002 46376 48453 50016 50592 53142 55924 61008 61336 64083 64604 64821 66912 68772 69564 70841 70856 83886 85444 86428 91696 92004 92752 96906 97427 106284 111848 122016 122672 128166 129208 129642 137544 139128 141682 141712 167772 170888 172856 177661 183392 184008 185504 193812 194854 212523 212568 223696 234971 237677 245344 256332 258416 259284 274567 275088 278256 283364 283424 292281 335544 341776 345712 355322 363137 368016 387624 389708 425046 425136 447392 469942 475354 512664 516832 518568 532983 549134 550176 556512 566728 584562 662191 671088 683552 691424 704913 710644 713031 726274 736032 775248 779251 779416 823701 850092 850272 939884 950708 1025328 1037136 1065966 1089411 1098268 1133456 1169124 1204297 1324382 1342176 1409826 1421288 1426062 1452548 1550496 1558502 1558832 1647402 1700184 1879768 1901416 1986573 2050656 2074272 2131932 2178822 2196071 2196536 2266912 2337753 2338248 2408594 2648764 2819652 2842576 2852124 2904481 2905096 3020237 3117004 3117664 3294804 3400368 3612891 3759536 3802832 3973146 3994507 4263864 4357644 4392142 4393072 4675506 4676496 4817188 5297528 5639304 5685152 5704248 5808962 5810192 6040474 6234008 6588213 6589608 6800736 7225782 7284101 7519072 7605664 7946292 7989014 8527728 8713443 8715288 8784284 8786144 9060711 9351012 9352992 9634376 10595056 11257247 11278608 11408496 11617924 11620384 11983521 12080948 12468016 13176426 13179216 13247267 14451564 14568202 15892584 15978028 17055456 17426886 17430576 17568568 18121422 18702024 19268752 21190112 21852303 22514494 22557216 22816992 23235848 23967042 24156781 24161896 24936032 26352852 26358432 26494534 28903128 29136404 31785168 31949291 31956056 33771741 34853772 34861152 35137136 36242844 36908161 37333207 37404048 38537504 39741801 43704606 45028988 46471696 47934084 48313562 48323792 49376177 52705704 52989068 57806256 58272808 63570336 63898582 63912112 67543482 69707544 70274272 72470343 72485688 73816322 74666414 74808096 79483602 87409212 90038911 90057976 92943392 95847873 95868168 96627124 96647584 98752354 105411408 105978136 110724483 111999621 115612512 116545616 123829717 127797164 127824224 135086964 139415088 144940686 144971376 147632644 148128531 149332828 158967204 174818424 180077822 180115952 191695746 191736336 193254248 197504708 210822816 211956272 221448966 223999242 233091232 247659434 255594328 270116733 270173928 278830176 289881372 289942752 295265288 296257062 298665656 317934408 349636848 360155644 360231904 371489151 383391492 383472672 386508496 395009416 405989771 410665277 423912544 442897932 447998484 495318868 511188656 540233466 540347856 543137947 579762744 590530576 592514124 597331312 627438737 635868816 699273696 720311288 742978302 766782984 773016992 790018832 811979542 821330554 885795864 895996968 990428021 990637736 1022377312 1080466932 1080695712 1086275894 1144152991 1159525488 1181061152 1185028248 1194662624 1217969313 1231995831 1254877474 1271737632 1440622576 1485956604 1513234601 1530661487 1533565968 1580037664 1623959084 1629413841 1642661108 1771591728 1791993936 1882316211 1980856042 1981275472 2160933864 2172551788 2288305982 2319050976 2370056496 2435938626 2463991662 2509754948 2881245152 2971284063 2971913208 3026469202 3061322974 3067131936 3247918168 3258827682 3285322216 3432458973 3543183456 3583987872 3764632422 3961712084 3962550944 4321867728 4345103576 4539703803 4576611964 4591984461 4740112992 4871877252 4927983324 5019509896 5942568126 5943826416 6052938404 6122645948 6495836336 6517655364 6570644432 6864917946 6901826107 7529264844 7923424168 8643735456 8690207152 9079407606 9153223928 9183968922 9743754504 9855966648 10039019792 11885136252 11887652832 12105876808 12245291896 12585682901 12991672672 13035310728 13141288864 13729835892 13803652214 15058529688 15846848336 16645580611 16837276357 17380414304 18158815212 18306447856 18367937844 19450600847 19487509008 19711933296 20078039584 20705478321 23770272504 24211753616 24490583792 25171365802 25724988217 26070621456 27459671784 27607304428 30117059376 31693696672 33291161222 33674552714 36317630424 36612895712 36735875688 37757048703 38901201694 38975018016 39423866592 41410956642 46910272631 47540545008 48423507232 48981167584 49936741833 50342731604 50511829071 51449976434 52141242912 54919343568 55214608856 58351802541 60234118752 66582322444 67349105428 72635260848 73471751376 75514097406 77174964651 77802403388 82821913284 93820545262 95081090016 99873483666 100685463208 101023658142 102899952868 109838687136 110429217712 116703605082 133164644888 134698210856 140730817893 145270521696 146943502752 151028194812 154349929302 155604806776 165643826568 187641090524 199746967332 201370926416 202047316284 205799905736 213956609317 220858435424 233407210164 266329289776 269396421712 281461635786 282974870387 302056389624 308699858604 311209613552 331287653136 375282181048 399493934664 402741852832 404094632568 411599811472 427913218634 466814420328 516012998941 532658579552 538792843424 562923271572 565949740774 604112779248 617399717208 622419227104 641869827951 662575306272 750564362096 797474634727 798987869328 808189265136 823199622944 848924611161 855826437268 933628840656 1032025997882 1125846543144 1131899481548 1208225558496 1234799434416 1283739655902 1501128724192 1548038996823 1594949269454 1597975738656 1616378530272 1697849222322 1711652874536 1867257681312 2064051995764 2251693086288 2263798963096 2392423904181 2469598868832 2567479311804 3096077993646 3189898538908 3395698444644 3423305749072 4128103991528 4503386172576 4527597926192 4784847808362 5134958623608 6192155987292 6379797077816 6791396889288 6846611498144 8256207983056 8772220981997 9055195852384 9569695616724 10269917247216 12384311974584 12759594155632 13582793778576 16512415966112 17544441963994 19139391233448 20539834494432 24768623949168 25519188311264 26316662945991 27165587557152 35088883927988 38278782466896 49537247898336 52633325891982 70177767855976 76557564933792 105266651783964 140355535711952 210533303567928 280711071423904 421066607135856 842133214271712
- Sum of all divisors σ(n): 2705296541294592
- Sum of proper divisors (its aliquot sum) s(n): 1863163327022880
- 842133214271712 is an abundant number, because the sum of its proper divisors (1863163327022880) is greater than itself. Its abundance is 1021030112751168
Bases of 842133214271712
- Binary: 101111110111101010011010110001011100011000111000002
- Hexadecimal: 0x2FDEA6B1718E0
- Base-36: 8AIENOJILC
Squares and roots of 842133214271712
- 842133214271712 squared (8421332142717122) is 709188350579605195758563410944
- 842133214271712 cubed (8421332142717123) is 597231065197656671467943860231024275530416128
-
The
square root of 842133214271712 is 29019531.5997986433 -
The
cube root of 842133214271712 is 94433.6839312491
Scales and comparisons
How big is 842133214271712?- 842,133,214,271,712 seconds is equal to 26,777,231 years, 16 weeks, 6 days, 5 hours, 15 minutes, 12 seconds.
-
To count from 1 to 842,133,214,271,712 would take you about sixty-six million, nine hundred forty-three thousand and seventy-eight 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 842133214271712 cubic inches would be around 7869.5 feet tall.
Recreational maths with 842133214271712
- 842133214271712 backwards is 217172412331248
- 842133214271712 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 842133214271712's digits is 48
- More coming soon!
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"Number 842133214271712 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 842133214271712 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/842133214271712/
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The information we have on file for 842133214271712 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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