830164988987168000
830,164,988,987,168,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 830164988987168000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
830164988987168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 830164988987168000:
28 × 53 × 17 × 293 × 3973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 29 × 29 × 29 × 397 × 397 × 397)See below for interesting mathematical facts about the number 830164988987168000 from the Numbermatics database.
Names of 830164988987168000
- Cardinal: 830164988987168000 can be written as Eight hundred thirty quadrillion, one hundred sixty-four trillion, nine hundred eighty-eight billion, nine hundred eighty-seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 8.30164988987168 × 1017
Factors of 830164988987168000
Divisors of 830164988987168000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 100 116 125 128 136 145 160 170 200 232 250 256 272 290 320 340 397 400 425 464 493 500 544 580 640 680 725 794 800 841 850 928 986 1000 1088 1160 1280 1360 1450 1588 1600 1682 1700 1856 1972 1985 2000 2125 2176 2320 2465 2720 2900 3176 3200 3364 3400 3625 3712 3944 3970 4000 4205 4250 4352 4640 4930 5440 5800 6352 6400 6728 6749 6800 7250 7424 7888 7940 8000 8410 8500 9280 9860 9925 10880 11513 11600 12325 12704 13456 13498 13600 14297 14500 15776 15880 16000 16820 17000 18560 19720 19850 21025 21760 23026 23200 24389 24650 25408 26912 26996 27200 28594 29000 31552 31760 32000 33640 33745 34000 37120 39440 39700 42050 46052 46400 48778 49300 49625 50816 53824 53992 54400 57188 57565 58000 61625 63104 63520 67280 67490 68000 71485 78880 79400 84100 92104 92800 97556 98600 99250 101632 105125 107648 107984 108800 114376 115130 116000 121945 123250 126208 127040 134560 134980 136000 142970 157609 157760 158800 168200 168725 184208 185600 195112 195721 197200 198500 210250 215296 215968 228752 230260 232000 243890 246500 254080 269120 269960 272000 285940 287825 315218 315520 317600 333877 336400 337450 357425 368416 390224 391442 394400 397000 414613 420500 431936 457504 460520 464000 487780 493000 508160 538240 539920 544000 571880 575650 609725 630436 631040 635200 667754 672800 674900 714850 736832 780448 782884 788045 788800 794000 829226 841000 843625 863872 915008 921040 928000 975560 978605 986000 1076480 1079840 1143760 1151300 1219450 1260872 1270400 1335508 1345600 1349800 1429700 1439125 1473664 1560896 1565768 1576090 1577600 1588000 1658452 1669385 1682000 1687250 1727744 1787125 1830016 1842080 1951120 1957210 1972000 2073065 2159680 2287520 2302600 2438900 2521744 2540800 2671016 2679353 2691200 2699600 2859400 2878250 2947328 3048625 3121792 3131536 3152180 3155200 3176000 3316904 3338770 3364000 3374500 3574250 3660032 3684160 3902240 3914420 3940225 3944000 4146130 4319360 4570661 4575040 4605200 4877800 4893025 5043488 5342032 5358706 5382400 5399200 5675909 5718800 5756500 6097250 6243584 6263072 6304360 6352000 6633808 6677540 6728000 6749000 7148500 7368320 7804480 7828840 7880450 7888000 8292260 8346925 8638720 9141322 9150080 9210400 9682433 9755600 9786050 10086976 10365325 10684064 10717412 10798400 11351818 11437600 11513000 12194500 12526144 12608720 12704000 13267616 13355080 13396765 13456000 13498000 14297000 14736640 15608960 15657680 15760900 15776000 16584520 16693850 18282644 18300160 18420800 19364866 19511200 19572100 19701125 20173952 20730650 21368128 21434824 21596800 22703636 22853305 22875200 23026000 24389000 24465125 25052288 25217440 26535232 26710160 26793530 26912000 26996000 28379545 28594000 31217920 31315360 31521800 33169040 33387700 36565288 36841600 38729732 39022400 39144200 39402250 40347904 41461300 41734625 42736256 42869648 43193600 45407272 45706610 45750400 46052000 48412165 48778000 48930250 50104576 50434880 51826625 53070464 53420320 53587060 53992000 56759090 57188000 62570773 62630720 63043600 66338080 66775400 66983825 73130576 73683200 77459464 77701237 78044800 78288400 78804500 82922600 83469250 85472512 85739296 90814544 91413220 91500800 92104000 96824330 97556000 97860500 100869760 103653250 106140928 106840640 107174120 107984000 113518180 114266525 114376000 125141546 125261440 126087200 132549169 132676160 133550800 133967650 141897725 146261152 154918928 155402474 156089600 156576800 157609000 164601361 165845200 166938500 171478592 181629088 182826440 184208000 193648660 195112000 195721000 201739520 207306500 213681280 214348240 215968000 227036360 228533050 228752000 242060825 250283092 250522880 252174400 265098338 265352320 267101600 267935300 283795450 292522304 309837856 310804948 312853865 313153600 315218000 329202722 331690400 333877000 334919125 342957184 363258176 365652880 368416000 387297320 388506185 390224000 391442000 414613000 427362560 428696480 454072720 457066100 457504000 484121650 500566184 504348800 530196676 530704640 534203200 535870600 567590900 571332625 585044608 619675712 621609896 625707730 626307200 630436000 658405444 662745845 663380800 667754000 669838250 685914368 709488625 726516352 731305760 774594640 777012370 780448000 782884000 823006805 829226000 857392960 908145440 914132200 968243300 1001132368 1008697600 1060393352 1063703141 1068406400 1071741200 1135181800 1142665250 1170089216 1210304125 1239351424 1243219792 1251415460 1252614400 1260872000 1316810888 1325491690 1326761600 1335508000 1339676500 1418977250 1453032704 1462611520 1549189280 1554024740 1564269325 1565768000 1646013610 1658452000 1714785920 1814552417 1816290880 1828264400 1936486600 1942530925 2002264736 2120786704 2127406282 2136812800 2143482400 2253335873 2270363600 2285330500 2420608250 2478702848 2486439584 2502830920 2521744000 2633621776 2650983380 2653523200 2671016000 2679353000 2837954500 2925223040 3098378560 3108049480 3128538650 3131536000 3292027220 3313729225 3316904000 3429571840 3629104834 3632581760 3656528800 3843925901 3872973200 3885061850 4004529472 4115034025 4241573408 4254812564 4286964800 4506671746 4540727200 4570661000 4841216500 4972879168 5005661840 5043488000 5267243552 5301966760 5318515705 5342032000 5358706000 5675909000 5850446080 6196757120 6216098960 6257077300 6263072000 6584054440 6627458450 6633808000 7258209668 7265163520 7313057600 7687851802 7745946400 7770123700 7821346625 8009058944 8230068050 8483146816 8509625128 8573929600 9013343492 9072762085 9081454400 9141322000 9682433000 9712654625 9945758336 10011323680 10534487104 10603933520 10637031410 10684064000 10717412000 11266679365 11351818000 12393514240 12432197920 12514154600 13168108880 13254916900 13267616000 14516419336 14626115200 15375703604 15491892800 15540247400 15642693250 16018117888 16460136100 16568646125 16966293632 17019250256 17147859200 18026686984 18145524170 18162908800 18282644000 19219629505 19364866000 19425309250 19891516672 20022647360 20575170125 21068974208 21207867040 21274062820 21434824000 22533358730 22703636000 24864395840 25028309200 26336217760 26509833800 26592578525 29032838672 29252230400 30751407208 30847391089 30983785600 31080494800 31285386500 32920272200 33137292250 33932587264 34038500512 36053373968 36291048340 36325817600 36565288000 38439259010 38729732000 38850618500 40045294720 41150340250 42137948416 42415734080 42548125640 42869648000 45066717460 45363810425 45407272000 49728791680 50056618400 52622020093 52672435520 53019667600 53185157050 56333396825 58065677344 61502814416 61694782178 61967571200 62160989600 62570773000 65346740317 65840544400 66274584500 68077001024 72106747936 72582096680 73130576000 76878518020 77459464000 77701237000 80090589440 82300680500 84831468160 85096251280 85739296000 90133434920 90727620850 90814544000 96098147525 99457583360 100113236800 105244040186 105344871040 106039335200 106370314100 112666793650 116131354688 123005628832 123389564356 124321979200 125141546000 130693480634 131681088800 132549169000 132962892625 136154002048 144213495872 145164193360 146261152000 153757036040 154236955445 154918928000 155402474000 164601361000 169662936320 170192502560 180266869840 181455241700 181629088000 192196295050 200226473600 210488080372 210689742080 212078670400 212740628200 225333587300 226819052125 232262709376 246011257664 246779128712 248643958400 250283092000 261386961268 263110100465 263362177600 265098338000 265925785250 272308004096 281666984125 288426991744 290328386720 307514072080 308473910890 309837856000 310804948000 326733701585 329202722000 340385005120 360533739680 362910483400 384392590100 400452947200 420976160744 424157340800 425481256400 450667174600 453638104250 464525418752 480490737625 492022515328 493558257424 497287916800 500566184000 522773922536 526220200930 526724355200 530196676000 531851570500 563333968250 576853983488 580656773440 615028144160 616947821780 621609896000 653467403170 658405444000 680770010240 721067479360 725820966800 768785180200 771184777225 841952321488 848314681600 850962512800 894574341581 901334349200 907276208500 960981475250 984045030656 987116514848 1001132368000 1045547845072 1052440401860 1053448710400 1060393352000 1063703141000 1126667936500 1161313546880 1230056288320 1233895643560 1243219792000 1306934806340 1315550502325 1316810888000 1361540020480 1442134958720 1451641933600 1526038582697 1537570360400 1542369554450 1633668507925 1683904642976 1701925025600 1789148683162 1802668698400 1814552417000 1921962950500 1974233029696 2002264736000 2091095690144 2104880803720 2120786704000 2127406282000 2253335873000 2322627093760 2460112576640 2467791287120 2486439584000 2613869612680 2631101004650 2633621776000 2884269917440 2903283867200 3052077165394 3075140720800 3084739108900 3267337015850 3367809285952 3403850051200 3578297366324 3605337396800 3629104834000 3843925901000 3855923886125 3948466059392 4182191380288 4209761607440 4241573408000 4254812564000 4472871707905 4506671746000 4920225153280 4935582574240 5227739225360 5262202009300 5267243552000 5806567734400 6104154330788 6150281441600 6169478217800 6534674031700 6577752511625 6735618571904 6807700102400 7156594732648 7210674793600 7258209668000 7630192913485 7687851802000 7711847772250 7896932118784 8168342539625 8364382760576 8419523214880 8509625128000 8945743415810 9013343492000 9871165148480 10455478450720 10524404018600 11613135468800 12208308661576 12300562883200 12338956435600 13069348063400 13155505023250 13471237143808 14313189465296 14421349587200 14516419336000 15260385826970 15375703604000 15423695544500 16336685079250 16728765521152 16839046429760 17019250256000 17891486831620 18026686984000 19742330296960 20910956901440 21048808037200 22364358539525 24416617323152 24601125766400 24677912871200 25942655905849 26138696126800 26311010046500 28626378930592 29032838672000 30520771653940 30751407208000 30847391089000 32673370158500 33678092859520 34038500512000 35782973663240 36053373968000 38150964567425 39484660593920 41821913802880 42097616074400 44728717079050 48833234646304 49355825742400 51885311811698 52277392253600 52622020093000 57252757861184 58065677344000 61041543307880 61502814416000 61694782178000 65346740317000 67356185719040 71565947326480 72106747936000 76301929134850 83643827605760 84195232148800 89457434158100 97666469292608 98711651484800 103770623623396 104554784507200 105244040186000 111821792697625 114505515722368 122083086615760 123005628832000 123389564356000 129713279529245 130693480634000 143131894652960 152603858269700 168390464297600 178914868316200 190754822837125 195332938585216 197423302969600 207541247246792 209109569014400 210488080372000 223643585395250 229011031444736 244166173231520 246779128712000 259426559058490 261386961268000 286263789305920 305207716539400 336780928595200 357829736632400 381509645674250 390665877170432 415082494493584 418219138028800 420976160744000 447287170790500 488332346463040 493558257424000 518853118116980 522773922536000 572527578611840 610415433078800 648566397646225 715659473264800 763019291348500 830164988987168 841952321488000 894574341581000 976664692926080 987116514848000 1037706236233960 1045547845072000 1145055157223680 1220830866157600 1297132795292450 1431318946529600 1526038582697000 1660329977974336 1683904642976000 1789148683162000 1953329385852160 2075412472467920 2091095690144000 2441661732315200 2594265590584900 2862637893059200 3052077165394000 3242831988231125 3320659955948672 3578297366324000 4150824944935840 4883323464630400 5188531181169800 5725275786118400 6104154330788000 6485663976462250 6641319911897344 7156594732648000 8301649889871680 9766646929260800 10377062362339600 12208308661576000 12971327952924500 14313189465296000 16603299779743360 20754124724679200 24416617323152000 25942655905849000 28626378930592000 33206599559486720 41508249449358400 48833234646304000 51885311811698000 83016498898716800 103770623623396000 166032997797433600 207541247246792000 415082494493584000 830164988987168000
- Sum of all divisors σ(n): 2273621623071926400
- Sum of proper divisors (its aliquot sum) s(n): 1443456634084758400
- 830164988987168000 is an abundant number, because the sum of its proper divisors (1443456634084758400) is greater than itself. Its abundance is 613291645097590400
Bases of 830164988987168000
- Binary: 1011100001010101011010101000101110011000101111010101000000002
- Hexadecimal: 0xB8556A8B98BD500
- Base-36: 6B24XF164JCW
Squares and roots of 830164988987168000
- 830164988987168000 squared (8301649889871680002) is 689173908940064766722468660224000000
- 830164988987168000 cubed (8301649889871680003) is 572128050525472389125926850281118979688005632000000000
-
The
square root of 830164988987168000 is 911133902.8853925815 -
The
cube root of 830164988987168000 is 939841.9037674885
Scales and comparisons
How big is 830164988987168000?- 830,164,988,987,168,000 seconds is equal to 26,396,678,780 years, 45 weeks, 5 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 830,164,988,987,168,000 would take you about seventy-nine billion, one hundred ninety million, thirty-six thousand, three hundred forty-two 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 830164988987168000 cubic inches would be around 78320.2 feet tall.
Recreational maths with 830164988987168000
- 830164988987168000 backwards is 000861789889461038
- The number of decimal digits it has is: 18
- The sum of 830164988987168000's digits is 86
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 830164988987168000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 830164988987168000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/830164988987168000/
Chicago style:
Numbermatics. 2024. "Number 830164988987168000 - Facts about the integer". https://numbermatics.com/n/830164988987168000/
The information we have on file for 830164988987168000 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!
Keywords: Divisors of 830164988987168000, math, Factors of 830164988987168000, curriculum, school, college, exams, university, Prime factorization of 830164988987168000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirty quadrillion, one hundred sixty-four trillion, nine hundred eighty-eight billion, nine hundred eighty-seven million, one hundred sixty-eight thousand.