230142764019168
230,142,764,019,168 is an even composite number composed of five prime numbers multiplied together.
230142764019168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 230142764019168:
25 × 33 × 72 × 114 × 135
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 230142764019168 from the Numbermatics database.
Names of 230142764019168
- Cardinal: 230142764019168 can be written as Two hundred thirty trillion, one hundred forty-two billion, seven hundred sixty-four million, nineteen thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 2.30142764019168 × 1014
Factors of 230142764019168
Divisors of 230142764019168
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 39 42 44 48 49 52 54 56 63 66 72 77 78 84 88 91 96 98 99 104 108 112 117 121 126 132 143 144 147 154 156 168 169 176 182 189 196 198 208 216 224 231 234 242 252 264 273 286 288 294 297 308 312 336 338 351 352 363 364 378 392 396 416 429 432 441 462 468 484 504 507 528 539 546 572 588 594 616 624 637 672 676 693 702 726 728 756 784 792 819 847 858 864 882 924 936 968 1001 1008 1014 1056 1078 1089 1092 1144 1176 1183 1188 1232 1248 1274 1287 1323 1331 1352 1386 1404 1452 1456 1512 1521 1568 1573 1584 1617 1638 1694 1716 1764 1848 1859 1872 1911 1936 2002 2016 2028 2079 2156 2178 2184 2197 2288 2352 2366 2376 2457 2464 2541 2548 2574 2646 2662 2704 2772 2808 2904 2912 3003 3024 3042 3146 3168 3234 3267 3276 3388 3432 3528 3549 3696 3718 3744 3822 3861 3872 3993 4004 4056 4158 4312 4356 4368 4394 4563 4576 4704 4719 4732 4752 4851 4914 5082 5096 5148 5292 5324 5408 5544 5577 5616 5733 5808 5929 6006 6048 6084 6292 6468 6534 6552 6591 6776 6864 7007 7056 7098 7392 7436 7623 7644 7722 7986 8008 8112 8281 8316 8624 8712 8736 8788 9009 9126 9317 9438 9464 9504 9702 9828 10164 10192 10296 10584 10647 10648 11011 11088 11154 11232 11466 11616 11858 11979 12012 12168 12584 12936 13013 13068 13104 13182 13552 13728 14014 14112 14157 14196 14553 14641 14872 15246 15288 15379 15444 15972 16016 16224 16562 16632 16731 17199 17248 17303 17424 17576 17787 18018 18252 18634 18876 18928 19404 19656 19773 20328 20384 20449 20592 21021 21168 21294 21296 22022 22176 22308 22869 22932 23716 23958 24024 24167 24336 24843 25168 25872 26026 26136 26208 26364 27027 27104 27951 28028 28314 28392 28561 29106 29282 29744 30492 30576 30758 30888 31941 31944 32032 33033 33124 33264 33462 34398 34606 34848 35152 35574 35937 36036 36504 37268 37752 37856 38808 39039 39312 39546 40656 40898 41184 42042 42336 42471 42588 42592 43923 44044 44616 45738 45864 46137 47432 47916 48048 48334 48672 49686 50193 50336 51744 51909 52052 52272 52728 53361 54054 55902 56056 56628 56784 57122 58212 58564 59319 59488 60984 61152 61347 61516 61776 63063 63882 63888 65219 66066 66248 66528 66924 68796 69212 70304 71148 71874 72072 72501 73008 74529 74536 75504 77077 77616 78078 78624 79092 81312 81796 83853 84084 84942 85176 85683 87846 88088 89232 91091 91476 91728 92274 94864 95832 96096 96668 99099 99372 100386 102487 103818 104104 104544 105456 106722 107653 108108 111804 112112 113256 113568 114244 116424 117117 117128 118638 121121 121968 122694 123032 123552 126126 127764 127776 130438 131769 132132 132496 133848 137592 138411 138424 142296 143143 143748 144144 145002 146016 149058 149072 151008 154154 155232 155727 156156 158184 160083 163592 167706 168168 169169 169884 170352 171366 175692 176176 178464 182182 182952 183456 184041 184548 189189 189728 190333 191664 193336 195657 198198 198744 199927 200772 204974 207636 208208 210912 213444 215306 216216 217503 223587 223608 224224 224939 226512 228488 231231 232848 234234 234256 237276 242242 243936 245388 246064 251559 252252 255528 257049 260876 263538 264264 264992 265837 267696 273273 275184 276822 276848 284592 286286 287496 288288 290004 297297 298116 298144 307461 308308 311454 312312 314171 316368 320166 322959 327184 335412 336336 338338 339768 340704 342732 351351 351384 352352 363363 364364 365904 368082 369096 371293 378378 380666 383328 386672 391314 395307 396396 397488 399854 401544 409948 415233 415272 416416 426888 429429 430612 432432 435006 447174 447216 449878 453024 456976 462462 465696 467181 468468 468512 474552 484484 490776 492128 503118 504504 507507 511056 514098 521752 527076 528528 531674 535392 546546 550368 552123 553644 553696 569184 570999 572572 574992 580008 586971 594594 596232 599781 614922 616616 622908 624624 628342 632736 640332 645918 652509 654368 670824 672672 674817 676676 679536 685464 693693 702702 702768 717409 726726 728728 731808 736164 738192 742586 756756 761332 771147 773344 782628 790614 792792 794976 797511 799708 803088 819819 819896 830466 830544 847847 853776 858858 861224 864864 870012 894348 894432 899756 913952 922383 924924 934362 936936 942513 949104 968877 968968 981552 1002001 1006236 1009008 1015014 1022112 1028196 1043504 1054152 1057056 1063348 1090089 1093092 1104246 1107288 1113879 1141998 1145144 1149984 1160016 1173942 1184183 1189188 1192464 1199562 1229844 1233232 1245816 1249248 1256684 1280664 1288287 1291836 1305018 1332331 1341648 1349634 1353352 1359072 1370928 1387386 1399489 1405404 1405536 1434818 1453452 1457456 1472328 1476384 1485172 1513512 1522521 1522664 1542294 1565256 1574573 1581228 1585584 1595022 1599416 1606176 1639638 1639792 1660932 1661088 1695694 1707552 1712997 1717716 1722448 1740024 1760913 1788696 1799343 1799512 1844766 1849848 1860859 1868724 1873872 1885026 1898208 1937754 1937936 1963104 2004002 2012472 2018016 2024451 2030028 2056392 2081079 2087008 2108304 2126696 2152227 2180178 2186184 2199197 2208492 2214576 2227758 2283996 2290288 2320032 2347884 2368366 2378376 2384928 2392533 2399124 2459457 2459688 2466464 2474329 2491632 2513368 2543541 2561328 2576574 2583672 2599051 2610036 2664662 2683296 2699268 2706704 2741856 2767149 2774772 2798978 2810808 2827539 2869636 2906631 2906904 2914912 2924207 2944656 2970344 3006003 3027024 3045042 3045328 3084588 3130512 3149146 3162456 3171168 3190044 3198832 3270267 3279276 3279584 3321864 3341637 3391388 3425994 3435432 3444896 3455881 3480048 3521826 3552549 3577392 3598686 3599024 3689532 3699696 3721718 3737448 3747744 3770052 3864861 3875508 3875872 3996993 4008004 4024944 4048902 4060056 4084223 4112784 4162158 4198467 4216608 4253392 4304454 4360356 4372368 4398394 4416984 4429152 4455516 4567563 4567992 4580576 4695768 4723719 4736732 4756752 4785066 4798248 4918914 4919376 4948658 4983264 5026736 5087082 5122656 5138991 5153148 5167344 5198102 5220072 5329324 5398029 5398536 5413408 5534298 5549544 5582577 5597956 5621616 5655078 5739272 5813262 5813808 5848414 5889312 5940688 6012006 6054048 6073353 6090084 6090656 6169176 6261024 6298292 6324912 6380088 6397664 6456681 6540534 6558552 6597591 6643728 6683274 6782776 6851988 6870864 6911762 6960096 7043652 7105098 7154784 7177599 7197372 7198048 7379064 7399392 7422987 7443436 7474896 7540104 7630623 7729722 7751016 7797153 7993986 8016008 8049888 8097804 8120112 8168446 8225568 8324316 8396934 8482617 8506784 8608908 8720712 8744736 8772621 8796788 8833968 8911032 9018009 9135126 9135984 9326317 9391536 9447438 9473464 9513504 9570132 9596496 9837828 9838752 9897316 10024911 10053472 10174164 10277982 10306296 10334688 10367643 10396204 10440144 10657647 10658648 10796058 10797072 11022011 11068596 11099088 11165154 11195912 11243232 11310156 11478544 11626524 11627616 11696828 11881376 11990979 12024012 12146706 12180168 12252669 12338352 12595401 12596584 12649824 12760176 12913362 13026013 13081068 13117104 13195182 13287456 13366548 13565552 13703976 13741728 13823524 14087304 14171157 14210196 14355198 14394744 14758128 14845974 14886872 14949792 15080208 15261246 15394379 15459444 15502032 15594306 15987972 16032016 16195608 16240224 16336892 16648632 16747731 16793868 16965234 17217816 17320303 17441424 17545242 17593576 17667936 17822064 18036018 18193357 18270252 18271968 18652634 18783072 18894876 18946928 19140264 19192992 19370043 19675656 19792773 19794632 20049822 20348328 20469449 20555964 20612592 20735286 20792408 20880288 21315294 21317296 21592116 21594144 22044022 22137192 22198176 22268961 22330308 22391824 22620312 22891869 22957088 23253048 23391459 23393656 23981958 24048024 24191167 24293412 24360336 24505338 24676704 25190802 25193168 25520352 25826724 26052026 26162136 26234208 26317863 26390364 26733096 27054027 27131104 27407952 27647048 27978951 28174608 28342314 28420392 28589561 28710396 28789488 29516256 29691948 29773744 30160416 30522492 30788758 30918888 31004064 31102929 31188612 31972941 31975944 32064032 32166277 32391216 32673784 33066033 33297264 33495462 33587736 33930468 34435632 34640606 34882848 35090484 35187152 35644128 35972937 36072036 36386714 36540504 36758007 37305268 37786203 37789752 37893856 38014691 38280528 38740086 39078039 39351312 39585546 39589264 40099644 40696656 40938898 41111928 41225184 41470572 41584816 42513471 42630588 42634592 43184232 44088044 44274384 44537922 44660616 44783648 44926453 45240624 45783738 46183137 46506096 46782918 46787312 47963916 48096048 48382334 48586824 48720672 49010676 50243193 50381604 50386336 51653448 51960909 52104052 52324272 52635726 52780728 53466192 54108054 54580071 54815904 55294096 55957902 56349216 56684628 56840784 57179122 57420792 57578976 59378319 59383896 59547488 61044984 61408347 61577516 61837776 62205858 62377224 63945882 63951888 64332554 64782432 65347568 66132066 66594528 66806883 66990924 67175472 67860936 68871264 69281212 70174377 70180968 70374304 71945874 72144072 72573501 72773428 73081008 73516014 74610536 75572406 75579504 76029382 76561056 77480172 78156078 78702624 78953589 79171092 79178528 80199288 81393312 81877796 82223856 82941144 83169632 83936853 85026942 85261176 85768683 86368464 88176088 88548768 89075844 89321232 89852906 90481248 91567476 92366274 93012192 93308787 93565836 93574624 95927832 96192096 96498831 96764668 97173648 98021352 99198099 100486386 100763208 103306896 103921818 104208104 104648544 105271452 105561456 106932384 108216108 109160142 110274021 110588192 111915804 113369256 113681568 114044073 114358244 114841584 117234117 118756638 118767792 121242121 122089968 122816694 123155032 123675552 124411716 124754448 127891764 127903776 128665108 130695136 132264132 133613766 133981848 134350944 134779359 135721872 138549411 138562424 140348754 140361936 143286143 143891748 144288144 145147002 145546856 146162016 147032028 149221072 151144812 151159008 152058764 154960344 155882727 156312156 157907178 158342184 160398576 163740213 163755592 164447712 165882288 167873706 169338169 170053884 170522352 171537366 172736928 176352176 178151688 178642464 179705812 183134952 184225041 184732548 186617574 187131672 191855664 192997662 193529336 194347296 196042704 198396198 200126927 200972772 201526416 206613792 207843636 208416208 210542904 211122912 216432216 217720503 218320284 220548042 223831608 225163939 226738512 228088146 228716488 229683168 234468234 237513276 237535584 242484242 244179936 245633388 246310064 248823432 249508896 251810559 255783528 257306049 257330216 264528264 266102837 267227532 267963696 269558718 271443744 277098822 277124848 280697508 280723872 286572286 287783496 288576288 289496493 290294004 291093712 294064056 297594297 298442144 302289624 304117528 309920688 311765454 312624312 314485171 315814356 316684368 320797152 327480426 327511184 331764576 335747412 338676338 340107768 341044704 342132219 343074732 351702351 352704352 356303376 359411624 363726363 366269904 368450082 369465096 373235148 374263344 383711328 385995324 387058672 392085408 396792396 400253854 401945544 403052832 404338077 415648233 415687272 416832416 418161601 421085808 429858429 432864432 435441006 436640568 441096084 447663216 450327878 453477024 456176292 457432976 467648181 468936468 475026552 484968484 491220639 491266776 492620128 494190983 497646864 503621118 508014507 511567056 514612098 514660432 529056528 532205674 534455064 535927392 539117436 552675123 554197644 554249696 561395016 573144572 575566992 578992986 580588008 582187424 588128112 595188594 600380781 604579248 608235056 619841376 623530908 625248624 628970342 631628712 633368736 653161509 654960852 655022368 671494824 675491817 677352676 680215536 684264438 686149464 703404702 712606752 718823248 727452726 732539808 736900164 738930192 746470296 748526688 771918147 771990648 774117344 793584792 798308511 800507708 803891088 808676154 831296466 831374544 836323202 842171616 859716858 865728864 868489479 870882012 873281136 882192168 895326432 900655756 912352584 914865952 935296362 937872936 943455513 950053104 969936968 982441278 982533552 988381966 995293728 1007242236 1016029014 1023134112 1026396657 1029224196 1029320864 1058113056 1064411348 1068910128 1078234872 1091179089 1105350246 1108395288 1122790032 1146289144 1151133984 1157985972 1161176016 1176256224 1190377188 1200761562 1209158496 1213014231 1216470112 1247061816 1250497248 1254484803 1257940684 1263257424 1289575287 1306323018 1309921704 1342989648 1350983634 1354705352 1360431072 1368528876 1372298928 1406809404 1437646496 1454905452 1473800328 1477860384 1482572949 1492940592 1524043521 1543836294 1543981296 1576147573 1587169584 1596617022 1601015416 1607782176 1617352308 1662592932 1662749088 1672646404 1719433716 1736978958 1741764024 1746562272 1764384336 1801142343 1801311512 1824705168 1862719859 1870592724 1875745872 1886911026 1900106208 1939873936 1964882556 1965067104 1976763932 2014484472 2026475451 2032058028 2052793314 2058448392 2128822696 2137820256 2156469744 2182358178 2201396197 2210700492 2216790576 2245580064 2292578288 2315971944 2322352032 2380754376 2394925533 2401523124 2426028462 2494123632 2508969606 2515881368 2526514848 2579150574 2612646036 2619843408 2685979296 2701967268 2709410704 2737057752 2744597856 2813618808 2830366539 2909810904 2927131207 2947600656 2965145898 2985881184 3048087042 3087672588 3087962592 3152295146 3174339168 3193234044 3202030832 3234704616 3273537267 3325185864 3345292808 3438867432 3459336881 3473957916 3483528048 3528768672 3602284686 3602623024 3649410336 3725439718 3741185448 3751491744 3763454409 3773822052 3868725861 3879747872 3929765112 3953527864 4028968944 4052950902 4064116056 4105586628 4116896784 4257645392 4312939488 4364716356 4402792394 4421400984 4433581152 4447718847 4572130563 4585156576 4631943888 4728442719 4761508752 4789851066 4803046248 4852056924 4988247264 5017939212 5031762736 5158301148 5225292072 5239686816 5403427029 5403934536 5418821408 5436100813 5474115504 5588159577 5627237616 5660733078 5819621808 5854262414 5895201312 5930291796 6079426353 6096174084 6175345176 6304590292 6386468088 6404061664 6469409232 6547074534 6604188591 6650371728 6690585616 6877734864 6918673762 6947915832 6967056096 7184776599 7204569372 7205246048 7450879436 7482370896 7526908818 7547644104 7737451722 7859530224 7907055728 8057937888 8105901804 8128232112 8211173256 8233793568 8491099617 8515290784 8729432712 8781393621 8805584788 8842801968 8895437694 9144261126 9263887776 9456885438 9523017504 9579702132 9606092496 9704113848 10035878424 10063525472 10316602296 10378010643 10450584144 10806854058 10807869072 10872201626 10948231008 11176319154 11254475232 11290363227 11321466156 11639243616 11708524828 11860583592 12158852706 12192348168 12350690352 12609180584 12772936176 12938818464 13094149068 13208377182 13300743456 13343156541 13381171232 13755469728 13837347524 13895831664 14185328157 14369553198 14409138744 14901758872 14964741792 15053817636 15095288208 15474903444 15719060448 15814111456 16211803608 16256464224 16308302439 16422346512 16764478731 16982199234 17458865424 17562787242 17611169576 17685603936 17790875388 18288522252 18913770876 19159404264 19212184992 19408227696 19812565773 20071756848 20489918449 20633204592 20756021286 20901168288 21613708116 21615738144 21744403252 22352638308 22580726454 22642932312 23417049656 23721167184 24215358167 24317705412 24384696336 24701380704 25218361168 25545872352 26188298136 26344180863 26416754364 26686313082 27674695048 27791663328 28370656314 28739106396 28818277488 29803517744 30107635272 30190576416 30949806888 31134031929 32423607216 32616604878 32844693024 33528957462 33964398468 34917730848 35125574484 35222339152 35581750776 36577044504 37827541752 38052705691 38318808528 38816455392 39625131546 40143513696 40979836898 41266409184 41512042572 42555984471 43227416232 43488806504 44705276616 45161452908 45285864624 46834099312 47442334368 48430716334 48635410824 48769392672 48924907317 50293436193 50436722336 52376596272 52688361726 52833508728 53372626164 55349390096 56741312628 57478212792 57636554976 59437697319 59607035488 60215270544 61469755347 61899613776 62268063858 64847214432 65233209756 67057914924 67928796936 70251148968 70444678304 71163501552 72646074501 73154089008 75655083504 76105411382 76637617056 79032542589 79250263092 81959673796 83024085144 85111968942 86454832464 86977613008 89410553232 90322905816 90571729248 93402095787 93668198624 96861432668 97270821648 97849814634 100586872386 104753192544 105376723452 105667017456 106745252328 110698780192 113482625256 114158117073 114956425584 118875394638 120430541088 122939510694 123799227552 124536127716 130466419512 134115829848 135857593872 140502297936 142327003104 145292149002 146308178016 146774721951 151310167008 152210822764 158065085178 158500526184 163919347592 166048170288 170223937884 172909664928 173955226016 178821106464 180645811632 184409266041 186804191574 193722865336 194541643296 195699629268 201173744772 210753446904 211334034912 213490504656 217938223503 226965250512 228316234146 229912851168 237750789276 245879021388 249072255432 260932839024 266368939837 268231659696 271715187744 281004595872 290584298004 293549443902 304421645528 316130170356 317001052368 327838695184 332096340576 340447875768 342474351219 361291623264 368818532082 373608383148 387445730672 391399258536 402347489544 421506893808 426981009312 435876447006 453930501024 456632468292 475501578552 491758042776 498144510864 521865678048 532737879674 536463319392 553227798123 581168596008 587098887804 608843291056 632260340712 634002104736 653814670509 655677390368 680895751536 684948702438 737637064164 747216766296 774891461344 782798517072 799106819511 804694979088 843013787616 871752894012 913264936584 951003157104 983516085552 996289021728 1027423053657 1065475759348 1106455596246 1162337192016 1174197775608 1217686582112 1264520681424 1307629341018 1361791503072 1369897404876 1475274128328 1494433532592 1565597034144 1598213639022 1609389958176 1743505788024 1826529873168 1902006314208 1967032171104 2054846107314 2130951518696 2212911192492 2324674384032 2348395551216 2397320458533 2529041362848 2615258682036 2739794809752 2950548256656 2988867065184 3196427278044 3487011576048 3653059746336 4109692214628 4261903037392 4425822384984 4696791102432 4794640917066 5230517364072 5479589619504 5901096513312 6392854556088 6974023152096 7191961375599 8219384429256 8523806074784 8851644769968 9589281834132 10461034728144 10959179239008 12785709112176 14383922751198 16438768858512 17703289539936 19178563668264 20922069456288 25571418224352 28767845502396 32877537717024 38357127336528 57535691004792 76714254673056 115071382009584 230142764019168
- Sum of all divisors σ(n): 930496841794800
- Sum of proper divisors (its aliquot sum) s(n): 700354077775632
- 230142764019168 is an abundant number, because the sum of its proper divisors (700354077775632) is greater than itself. Its abundance is 470211313756464
Bases of 230142764019168
- Binary: 1101000101010000010010011011001001101101111000002
- Hexadecimal: 0xD15049B26DE0
- Base-36: 29KU4JL4O0
Squares and roots of 230142764019168
- 230142764019168 squared (2301427640191682) is 52965691830382449001071412224
- 230142764019168 cubed (2301427640191683) is 12189670716031682371200384553067283965509632
-
The
square root of 230142764019168 is 15170456.9482652037 -
The
cube root of 230142764019168 is 61281.9310075991
Scales and comparisons
How big is 230142764019168?- 230,142,764,019,168 seconds is equal to 7,317,828 years, 6 days, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 230,142,764,019,168 would take you about eighteen million, two hundred ninety-four thousand, five hundred seventy 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 230142764019168 cubic inches would be around 5106.8 feet tall.
Recreational maths with 230142764019168
- 230142764019168 backwards is 861910467241032
- 230142764019168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230142764019168's digits is 54
- 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 230142764019168 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 230142764019168 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/230142764019168/
Chicago style:
Numbermatics. 2024. "Number 230142764019168 - Facts about the integer". https://numbermatics.com/n/230142764019168/
The information we have on file for 230142764019168 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 230142764019168, math, Factors of 230142764019168, curriculum, school, college, exams, university, Prime factorization of 230142764019168, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty trillion, one hundred forty-two billion, seven hundred sixty-four million, nineteen thousand, one hundred sixty-eight.