268972390274274225
268,972,390,274,274,225 is an odd composite number composed of six prime numbers multiplied together.
268972390274274225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 268972390274274225:
33 × 52 × 74 × 11 × 17 × 316
(3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 17 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 268972390274274225 from the Numbermatics database.
Names of 268972390274274225
- Cardinal: 268972390274274225 can be written as Two hundred sixty-eight quadrillion, nine hundred seventy-two trillion, three hundred ninety billion, two hundred seventy-four million, two hundred seventy-four thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 2.68972390274274225 × 1017
Factors of 268972390274274225
Divisors of 268972390274274225
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 3 5 7 9 11 15 17 21 25 27 31 33 35 45 49 51 55 63 75 77 85 93 99 105 119 135 147 153 155 165 175 187 189 217 225 231 245 255 275 279 297 315 341 343 357 385 425 441 459 465 495 525 527 539 561 595 651 675 693 735 765 775 825 833 837 935 945 961 1023 1029 1071 1085 1155 1225 1275 1309 1323 1395 1485 1519 1575 1581 1617 1683 1705 1715 1785 1925 1953 2079 2205 2295 2325 2387 2401 2475 2499 2635 2695 2805 2883 2975 3069 3087 3213 3255 3465 3675 3689 3773 3825 3927 4165 4185 4557 4675 4725 4743 4805 4851 5049 5115 5145 5355 5425 5775 5797 5831 5859 6545 6615 6727 6975 7161 7203 7425 7497 7595 7905 8085 8415 8525 8575 8649 8925 9163 9207 9261 9765 10395 10571 10633 11025 11067 11319 11475 11781 11935 12005 12495 13175 13475 13671 14025 14229 14415 14553 15345 15435 16065 16275 16337 16709 17325 17391 17493 18445 18865 19635 20181 20825 20925 21483 21609 22491 22785 23715 24025 24255 25245 25575 25725 25823 25947 26411 26775 27489 28985 29155 29295 29791 31713 31899 32725 33075 33201 33635 33957 35343 35805 36015 37485 37975 39525 40425 40579 40817 41013 42075 43245 45815 46035 46305 47089 48825 49011 50127 51975 52173 52479 52855 53165 55335 56595 58905 59675 60025 60543 62475 64141 64449 64827 68355 71145 72075 72765 73997 74431 76725 77175 77469 79233 80325 81685 82467 83545 86955 87465 89373 92225 94325 95139 95697 98175 99603 100905 101871 107415 108045 112455 113925 114359 116963 118575 121275 121737 122451 126225 129115 129735 132055 137445 141267 144925 145775 146475 147033 148955 150381 156519 157437 158565 159495 166005 168175 169785 176715 179025 179707 180075 180761 181629 187425 192423 202895 204085 205065 208537 216225 221991 223293 229075 230175 231525 232407 235445 237699 245055 247401 250635 260865 262395 264275 265825 268119 276675 282975 284053 285417 287091 294525 302715 320705 322245 324135 327701 329623 341775 343077 350889 355725 363825 365211 367353 369985 372155 387345 396165 408425 412335 417725 423801 434775 437325 441099 446865 448987 451143 475695 478485 498015 504525 506447 509355 517979 537075 539121 540225 542283 562275 571795 577269 584815 608685 612255 625611 645575 648675 660275 665973 669879 687225 697221 706335 713097 735165 744775 751905 782595 787185 792825 797475 800513 804357 818741 830025 848925 852159 883575 898535 903805 908145 923521 962115 983103 988869 1014475 1020425 1025325 1029231 1042685 1052667 1095633 1102059 1109955 1116465 1162035 1177225 1188495 1225275 1237005 1253175 1257949 1265327 1271403 1304325 1311975 1340595 1346961 1420265 1427085 1435455 1459759 1513575 1519341 1553937 1603525 1611225 1617363 1620675 1626849 1638505 1648115 1715385 1731807 1754445 1826055 1836765 1849925 1860775 1876833 1936725 1980825 1988371 1997919 2009637 2061675 2119005 2205495 2234325 2244935 2255715 2293907 2307361 2378475 2392425 2401539 2456223 2490075 2532235 2546775 2556477 2589895 2695605 2711415 2770563 2858975 2886345 2924075 2949309 2966607 3043425 3061275 3087693 3128055 3158001 3329865 3349395 3486105 3531675 3545129 3565485 3625853 3675825 3759525 3773847 3795981 3912975 3935925 4002565 4021785 4040883 4093705 4260795 4379277 4492675 4519025 4540725 4558023 4617605 4661811 4810575 4852089 4880547 4915515 4944345 5146155 5213425 5263335 5478165 5510295 5549775 5570917 5582325 5603591 5630499 5810175 5942475 5965113 6185025 6289745 6326635 6357015 6464647 6702975 6734805 6881721 6922083 7101325 7135425 7177275 7204617 7298795 7368669 7596705 7669431 7769685 8086815 8134245 8192525 8240575 8311689 8576925 8659035 8772225 8805643 8847927 8899821 9130275 9183825 9384165 9941855 9989595 10048185 10158731 10218313 10595025 10635387 10877559 11027475 11224675 11278575 11321541 11387943 11469535 11536805 12007695 12122649 12281115 12661175 12782385 12949475 13137831 13478025 13557075 13674069 13852815 13918597 13985433 14431725 14746545 14833035 15438465 15640275 15699857 15790005 16057349 16649325 16712751 16746975 16810773 17430525 17725645 17827425 17895339 18129265 18869235 18979905 19393941 20012825 20108925 20204415 20468525 20645163 20766249 21303975 21613851 21896385 22106007 22790115 23088025 23309055 24260445 24402735 24577575 24721725 24815903 24935067 25380971 25730775 26316675 26416929 27390825 27551475 27854585 28017955 28152495 28629151 29825565 30476193 30654939 31448725 31633175 31785075 31906161 32323235 32632677 33674025 33964623 34163829 34408605 34610415 36023085 36493975 36843345 37983525 38347155 38848425 38996419 39225137 39413493 40434075 40671225 41558445 41755791 43295175 44028215 44239635 44499105 45252529 46920825 47099571 48172047 49709275 49947975 50138253 50240925 50432319 50793655 51091565 53176935 53686017 54387795 56607705 56939715 57347675 57684025 58181823 60038475 60613245 61405575 61639501 61935489 62298747 63911925 65689155 68370345 69264075 69592985 69927165 71111117 71528191 73732725 74165175 74447709 76142913 77192325 78499285 78950025 79250787 80286745 83563755 84053865 85887453 88628225 89476695 90646325 91428579 91964817 94346175 94899525 95718483 96969705 97898031 101022075 103225815 103831245 108069255 109481925 109898999 110530035 112401443 113950575 116545275 116989257 117675411 121302225 122013675 124079515 124675335 125267373 126904855 132084645 135757587 139272925 140089775 140762475 141298713 143145755 144516141 149127825 150414759 151296957 152380965 153274695 159530805 161616175 163163385 169823115 170819145 172043025 172698427 173052075 173711321 174545469 180115425 184216725 184918503 191735775 194982095 196125685 197067465 200404057 207792225 208778955 213333351 214584573 220141075 221198175 222495525 223343127 226262645 228428739 235497855 237752361 240860235 250691265 252161595 253968275 255457825 257662359 265884675 268430085 271938975 272974933 274285737 275894451 283038525 284698575 290909115 303066225 308197505 309677445 311493735 314920661 316767703 328445775 329696997 337204329 341851725 347964925 349635825 350967771 353026233 355555585 357640955 372238545 375802119 380714565 392496425 396253935 401433725 407272761 417818775 420269325 423896139 429437265 431476507 433548423 447383475 457142895 459824085 478592415 484848525 486695567 489490155 497777819 516129075 518095281 519156225 521133963 540346275 549494995 552650175 554755509 562007215 584946285 588377055 601212171 620397575 623376675 626336865 634524275 640000053 643753719 660423225 670029381 678787935 685286217 706493565 715728775 722580705 752073795 756484785 761904825 766373475 769292993 772987077 786810101 797654025 815816925 818924799 849115575 854095725 863492135 868556605 872727345 887503681 924592515 944761983 950303109 974910475 980628425 985337325 989090991 1002020285 1011612987 1043894775 1052903313 1059078699 1066666755 1072922865 1116715635 1131313225 1142143695 1177489275 1188761805 1204301175 1208888989 1215979247 1221818283 1253456325 1260807975 1288311795 1294429521 1342150425 1364874665 1371428685 1379472255 1402828399 1454545575 1460086701 1493333457 1540987525 1548387225 1554285843 1557468675 1563401889 1574603305 1583838515 1648484985 1664266527 1686021645 1754838855 1765131165 1777777925 1788204775 1803636513 1861192725 1879010595 1903572825 1910824531 1920000159 1931261157 1981269675 2036363805 2119480695 2147186325 2157382535 2167742115 2204444627 2217373921 2285714475 2299120425 2307878979 2360430303 2392962075 2433477835 2447450775 2456774397 2488889095 2590476405 2605669815 2662511043 2747474975 2773777545 2810036075 2834285949 2850909327 2924731425 2941885275 2967272973 3006060855 3034838961 3131684325 3200000265 3218768595 3350146905 3393939675 3406868969 3426431085 3484444733 3532467825 3612903525 3626666967 3647937741 3760368975 3782423925 3846464965 3864935385 3883288563 3934050505 4094623995 4208485197 4317460675 4342783025 4363636725 4380260103 4437518405 4480000371 4622962575 4662857529 4690205667 4723809915 4751515545 4945454955 5010101425 5058064935 5264516565 5295393495 5333333775 5353651237 5364614325 5385050951 5410909539 5583578175 5710718475 5732473593 5943809025 6044444945 6079896235 6109091415 6212525767 6441558975 6472147605 6613333881 6652121763 6824373325 6857143425 6897361275 6923636937 7014141995 7081290909 7300433505 7370323191 7466667285 7771429215 7817009445 7873016525 7919192575 7987533129 8242424925 8321332635 8430108225 8462222923 8502857847 8552727981 8774194275 8825655825 9018182565 9395052975 9554122655 9600000795 9656305785 9762540491 9819798793 10181819025 10220606907 10453334199 10597403475 10786912675 10838710575 10880000901 10943813223 11022223135 11086869605 11539394895 11649865689 11802151515 12167389175 12283871985 12444445475 12625455591 12952382025 13028349075 13140780309 13312555215 13375771717 13440001113 13868887725 14171429745 14254546635 14836364865 15030304275 15087562577 15174194805 15431112389 16000001325 16060953711 16093842975 16155152853 16750734525 17034344845 17132155425 17197420779 17422223665 18133334835 18239688705 18637577301 19232324825 19324676925 19416442815 19670252525 19840001643 19956365289 20473119975 20770910811 21042425985 21243872727 21901300515 22187592025 22400001855 23314287645 23451028335 23619049575 23757577725 23848082783 23962599387 24391113131 24727274775 25290324675 25386668769 26322582825 26476967475 26768256185 26925254755 27054547695 28662367965 29287621473 29459396379 30222224725 30399481175 30545457075 30661820721 31062628835 31360002597 32360738025 32640002703 32831439669 33066669405 33260608815 34618184685 35070709975 35406454545 36502167525 36851615955 37333336425 37475558659 37695356657 37876366773 38857146075 39085047225 39937665645 40127315151 41606663175 42311114615 42514289235 42763639905 43487680369 45090912825 45262687731 46293337167 47770613275 48000003975 48182861133 48281528925 48465458559 48812702455 49098993965 51103034535 51592262337 52266670995 54400004505 54719066115 55111115675 55434348025 55912731903 57696974475 58249328445 59010757575 59235560461 59520004929 59869095867 61419359925 63127277955 65703901545 66562776075 66878858585 67200005565 68337783437 68738591551 70857148725 71272733175 71544248349 73173339393 74181824325 75437812885 75870974025 76160006307 77155561945 80304768555 80775764265 85171724225 85987103895 87111118325 87862864419 88378189137 90666674175 91198443525 91985462163 93187886505 94080007791 97082214075 99200008215 99781826445 103854554055 105212129925 105612938039 106219363635 108017786723 109506502575 112000009275 112426675977 113086069971 116571438225 117255141675 119240413915 119812996935 120381945453 121955565655 126933343845 130463041107 133841280925 134626273775 135272738475 135788063193 138880011501 143311839825 144548583399 145396375677 146438107365 147296981895 153309103605 155313144175 156800012985 163200013515 164157198345 165333347025 165963188347 166303044075 166936579481 167738195709 173090923425 177032272725 177706681383 184258079775 187377793295 188476783285 189381833865 199688328225 200636575755 205013350311 206215774653 211555573075 212571446175 213818199525 214632745047 217438401845 219520018179 226313438655 228480018921 231466685835 240914305665 242327292795 244063512275 245494969825 255515172675 257961311685 261333354975 262328910613 263588593257 265134567411 272000022525 273595330575 279563659515 291246642225 296177802305 297600024645 299345479335 304413762583 315636389775 316838814117 324053360169 328519507725 334394292925 336000027825 337280027931 339258209913 341688917185 343692957755 357721241745 361145836359 365866696965 377189064425 380800031535 385777809725 391389123321 401523842775 403878821325 407364189579 414648923227 416640034503 429935519475 439314322095 441890945685 459927310815 465939432525 470400038955 478364484059 496000041075 497889565041 498909132225 500809738443 519272770275 528064690195 531096818175 533120044149 540088933615 562133379885 565430349855 596202069575 599064984675 601909727265 609777828275 615040050933 618647323959 634666719225 643898235141 652315205535 658560054537 678940315965 694400057505 722742916995 726981878385 732190536825 736484909475 739290566273 756124507061 766545518025 784000064925 786986731839 816000067575 820785991725 829815941735 834682897405 838690978545 888533406915 913241287749 936888966475 942383916425 946909169325 950516442351 972160080507 1003182878775 1011840083793 1017774629739 1025066751555 1031078873265 1073163725235 1087192009225 1097600090895 1131567193275 1142400094605 1157333429175 1161742318429 1168556056367 1174167369963 1204571528325 1211636463975 1243946769681 1289806558425 1311644553065 1317942966285 1325672837055 1397818297575 1435093452177 1480889011525 1488000123225 1493668695123 1496727396675 1502429215329 1522068812915 1584194070585 1599360132447 1620266800845 1686400139655 1696291049565 1708444585925 1718464788775 1788606208725 1805729181795 1829333484825 1836302374291 1845120152799 1855941971877 1904000157675 1956945616605 2036820947895 2073244616135 2083200172515 2130896338081 2196571610475 2209454728425 2217871698819 2268373521183 2299636554075 2352000194775 2360960195517 2391822420295 2489447825205 2504048692215 2640323450975 2665600220745 2700444668075 2739723863247 2810666899425 2827151749275 2851549327053 2916480241521 3009548636325 3075200254665 3093236619795 3219491175705 3261576027675 3292800272685 3348551388413 3394701579825 3472000287525 3485226955287 3505668169101 3613714584975 3634909391925 3696452831365 3731840309043 3780622535305 3934933659195 4149079708675 4173414487025 4193454892725 4305280356531 4442667034575 4481006085369 4507287645987 4566206438745 4752582211755 4860800402535 5059200418965 5088873148695 5125333757775 5155394366325 5175033963911 5365818626175 5488000454475 5508907122873 5712000473025 5808711592145 5842780281835 5870836849815 6219733848405 6392689014243 6558222765325 6589714831425 6628364185275 6653615096457 6805120563549 7082880586551 7175467260885 7468343475615 7512146076645 7610344064575 7920970352925 7996800662235 8101334004225 8132196229003 8219171589741 8432000698275 8481455247825 9028645908975 9181511871455 9225600763995 9279709859385 9784728083025 10045654165239 10184104739475 10366223080675 10416000862575 10455680865861 10517004507303 10654481690405 11089358494095 11195520927129 11341867605915 11804800977585 11959112101475 12447239126025 12520243461075 12854116620037 12915841069593 13328001103725 13698619316235 14257746635265 14582401207605 15376001273325 15466183098975 15525101891733 16097455878525 16464001363425 16526721368619 16742756942065 17426134776435 17528340845505 18482264156825 18659201545215 18903112676525 19178067042729 19674668295975 19960845289371 20415361690647 21526401782655 22405030426845 22536438229935 22831032193725 23439859718891 23762911058775 24304002012675 24396588687009 25296002094825 25444365743475 25875169819555 27544535614365 29043557960725 29213901409175 29354184249075 30136962495717 31098669242025 31367042597583 31551013521909 31963445071215 33268075482285 34025602817745 35414402932755 35877336304425 36225237747377 37341717378075 37560730383225 38562349860111 39984003311175 40660981145015 41095857948705 45907559357275 46128003819975 46398549296925 46575305675199 49580164105857 50228270826195 52278404329305 52585022536515 53272408452025 55446792470475 55977604635645 56709338029575 56925373603021 57534201128187 59024004887925 64270583100185 64579205347965 68493096581175 70319579156673 71288733176325 72912006038025 73189766061027 77625509458665 82633606843095 83713784710325 87130673882175 87641704227525 90410887487151 93296007726075 95890335213645 99804226446855 102076808453235 107632008913275 108675713242131 112025152134225 112682191149675 115687049580333 117199298594455 121982943435045 129375849097775 137722678071825 139725917025597 150684812478585 156835212987915 157755067609545 159817225356075 166340377411425 170128014088725 170776120809063 177072014663775 181126188736885 192811749300555 203304905725075 205479289743525 210958737470019 219569298183081 232876528375995 247900820529285 251141354130975 261392021646525 262925112682575 279888023178225 284626868015105 287671005640935 321352915500925 322896026739825 326027139726393 347061148740999 351597895783365 365948830305135 388127547293325 398477615221147 413168034215475 452054437435755 479451676068225 499021132234275 510384042266175 512328362427189 543378566210655 578435247901665 585996492972275 609914717175225 632876212410057 698629585127985 753424062392925 784176064939575 788775338047725 853880604045315 905630943684425 964058746502775 978081419179179 1054793687350095 1097846490915405 1164382641879975 1195432845663441 1239504102646425 1423134340075525 1438355028204675 1536985087281567 1630135698631965 1735305743704995 1757989478916825 1829744151525675 1992388076105735 2260272187178775 2561641812135945 2716892831053275 2892176239508325 3164381062050285 3493147925639925 3586298536990323 4269403020226575 4890407095895895 5273968436750475 5489232454577025 5977164228317205 7684925436407835 8150678493159825 8676528718524975 9961940380528675 10758895610970969 12808209060679725 15821905310251425 17931492684951615 24452035479479475 29885821141586025 38424627182039175 53794478054854845 89657463424758075 268972390274274225
- Sum of all divisors σ(n): 688016965186198080
- Sum of proper divisors (its aliquot sum) s(n): 419044574911923855
- 268972390274274225 is an abundant number, because the sum of its proper divisors (419044574911923855) is greater than itself. Its abundance is 150072184637649630
Bases of 268972390274274225
- Binary: 11101110111001010011110110110000001010111110010011101100012
- Hexadecimal: 0x3BB94F6C0AF93B1
- Base-36: 21KER69NZFE9
Squares and roots of 268972390274274225
- 268972390274274225 squared (2689723902742742252) is 72346146729856487702521850499350625
- 268972390274274225 cubed (2689723902742742253) is 19459116013062867180420583681864242145519005675140625
-
The
square root of 268972390274274225 is 518625481.7055118677 -
The
cube root of 268972390274274225 is 645509.3949018837 - Being both a perfect square and a perfect cube, 268972390274274225 is also a
perfect sixth number .
Scales and comparisons
How big is 268972390274274225?- 268,972,390,274,274,225 seconds is equal to 8,552,490,024 years, 25 weeks, 4 days, 5 hours, 3 minutes, 45 seconds.
-
To count from 1 to 268,972,390,274,274,225 would take you about twenty-five billion, six hundred fifty-seven million, four hundred seventy thousand and seventy-three 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 268972390274274225 cubic inches would be around 53792.4 feet tall.
Recreational maths with 268972390274274225
- 268972390274274225 backwards is 522472472093279862
- The number of decimal digits it has is: 18
- The sum of 268972390274274225's digits is 81
- More coming soon!
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"Number 268972390274274225 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 268972390274274225 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/268972390274274225/
Chicago style:
Numbermatics. 2024. "Number 268972390274274225 - Facts about the integer". https://numbermatics.com/n/268972390274274225/
The information we have on file for 268972390274274225 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 268972390274274225, math, Factors of 268972390274274225, curriculum, school, college, exams, university, Prime factorization of 268972390274274225, STEM, science, technology, engineering, physics, economics, calculator, two hundred sixty-eight quadrillion, nine hundred seventy-two trillion, three hundred ninety billion, two hundred seventy-four million, two hundred seventy-four thousand, two hundred twenty-five.