12137170332672
12,137,170,332,672 is an even composite number composed of six prime numbers multiplied together.
12137170332672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 12137170332672:
210 × 33 × 72 × 113 × 53 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 53 × 127)See below for interesting mathematical facts about the number 12137170332672 from the Numbermatics database.
Names of 12137170332672
- Cardinal: 12137170332672 can be written as Twelve trillion, one hundred thirty-seven billion, one hundred seventy million, three hundred thirty-two thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.2137170332672 × 1013
Factors of 12137170332672
Divisors of 12137170332672
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 53 54 56 63 64 66 72 77 84 88 96 98 99 106 108 112 121 126 127 128 132 144 147 154 159 168 176 189 192 196 198 212 216 224 231 242 252 254 256 264 288 294 297 308 318 336 352 363 371 378 381 384 392 396 424 432 441 448 462 477 484 504 508 512 528 539 576 583 588 594 616 636 672 693 704 726 742 756 762 768 784 792 847 848 864 882 889 896 924 954 968 1008 1016 1024 1056 1078 1089 1113 1143 1152 1166 1176 1188 1232 1272 1323 1331 1344 1386 1397 1408 1431 1452 1484 1512 1524 1536 1568 1584 1617 1694 1696 1728 1749 1764 1778 1792 1848 1908 1936 2016 2032 2079 2112 2156 2178 2226 2286 2304 2332 2352 2376 2464 2541 2544 2597 2646 2662 2667 2688 2772 2794 2816 2862 2904 2968 3024 3048 3072 3136 3168 3234 3267 3339 3388 3392 3429 3456 3498 3528 3556 3584 3696 3816 3872 3993 4032 4064 4081 4158 4191 4224 4312 4356 4452 4572 4608 4664 4704 4752 4851 4928 5082 5088 5194 5247 5292 5324 5334 5376 5544 5588 5632 5724 5808 5929 5936 6048 6096 6223 6272 6336 6413 6468 6534 6678 6731 6776 6784 6858 6912 6996 7056 7112 7168 7392 7623 7632 7744 7791 7986 8001 8064 8128 8162 8316 8382 8448 8624 8712 8904 9144 9216 9317 9328 9408 9504 9702 9779 9856 10017 10164 10176 10388 10494 10584 10648 10668 10752 11088 11176 11264 11448 11616 11858 11872 11979 12096 12192 12243 12446 12544 12573 12672 12826 12936 13068 13356 13462 13552 13568 13716 13824 13992 14112 14224 14553 14784 15246 15264 15367 15488 15582 15741 15972 16002 16128 16256 16324 16632 16764 16896 17248 17424 17787 17808 18288 18634 18656 18669 18816 19008 19239 19404 19558 19712 20034 20193 20328 20352 20776 20988 21168 21296 21336 21504 22176 22352 22869 22896 23232 23373 23716 23744 23958 24003 24192 24384 24486 24892 25088 25146 25344 25652 25872 26136 26712 26924 27104 27136 27432 27648 27951 27984 28224 28448 28567 29106 29337 29568 30492 30528 30734 30976 31164 31482 31944 32004 32256 32512 32648 33264 33528 33792 34496 34848 35574 35616 35937 36576 36729 37268 37312 37338 37632 37719 38016 38478 38808 39116 39424 40068 40386 40656 40704 41552 41976 42336 42592 42672 44352 44704 44891 45738 45792 46101 46464 46746 47117 47432 47488 47916 48006 48384 48768 48972 49784 50176 50292 50688 51304 51744 52272 53361 53424 53848 54208 54272 54864 55902 55968 56007 56448 56896 57134 57717 58212 58674 59136 60579 60984 61056 61468 61952 62328 62964 63888 64008 64512 65024 65219 65296 66528 67056 68453 68992 69696 70119 70543 71148 71232 71874 73152 73458 74041 74536 74624 74676 75264 75438 76032 76956 77616 78232 78848 80136 80772 81312 81408 83104 83853 83952 84672 85184 85344 85701 88011 88704 89408 89782 91476 91584 92202 92928 93492 94234 94864 94976 95832 96012 96768 97536 97944 99568 100584 101376 102608 103488 104544 106722 106848 107569 107696 108416 109728 110187 111804 111936 112014 112896 113792 114268 115434 116424 117348 118272 121158 121968 122112 122936 123904 124656 125928 127776 128016 130048 130438 130592 133056 134112 134673 136906 137984 138303 139392 140238 141086 141351 142296 142464 143748 146304 146916 148082 149072 149248 149352 150528 150876 152064 153912 155232 156464 160083 160272 161544 162624 162816 166208 167706 167904 168021 169037 169344 170368 170688 171402 173151 176022 177408 178816 179564 181737 182952 183168 184404 185856 186984 188468 189728 189952 191664 192024 193536 195072 195657 195888 199136 201168 205216 205359 206976 209088 211629 213444 213696 215138 215392 216832 219456 220374 222123 223608 223872 224028 225792 227584 228536 230868 232848 234696 236544 242316 243936 244224 245872 249312 251559 251856 255552 256032 257103 260876 261184 264033 266112 268224 269346 273812 275968 276606 278784 280476 282172 282702 284592 284928 287496 292608 293832 296164 298144 298496 298704 301752 304128 307824 310464 312928 314237 320166 320544 322707 323088 325248 329819 332416 335412 335808 336042 338074 338688 340736 341376 342804 346302 352044 354816 357632 359128 363474 365904 366336 368808 371712 373968 376936 379456 379904 383328 384048 390144 391314 391776 398272 402336 404019 410432 410718 413952 414909 418176 423258 424053 426888 427392 430276 430784 433664 438912 440748 444246 447216 447744 448056 451584 455168 457072 461736 465696 469392 484632 487872 488448 491744 493801 498624 503118 503712 507111 511104 512064 514206 518287 521752 522368 528066 532224 536448 538692 547624 551936 553212 557568 560952 564344 565404 569184 569856 574992 585216 586971 587664 592328 596288 596992 597408 603504 615648 616077 620928 625856 628474 634887 640332 641088 645414 646176 650496 659638 664832 666369 670824 671616 672084 676148 677376 681472 682752 685608 692604 704088 709632 715264 718256 726948 731808 732672 737616 747936 752983 753872 758912 766656 768096 771309 782628 783552 796544 804672 808038 814451 820864 821436 827904 829818 836352 846516 848106 853776 854784 860552 861568 867328 877824 881496 888492 894432 895488 896112 910336 914144 923472 931392 938784 942711 968121 969264 975744 983488 987602 989457 997248 1006236 1007424 1014222 1022208 1024128 1028412 1036574 1043504 1044736 1056132 1064448 1072896 1077384 1095248 1106424 1115136 1121904 1128688 1130808 1138368 1139712 1149984 1170432 1173942 1175328 1183259 1184656 1192576 1194816 1207008 1212057 1231296 1232154 1241856 1251712 1256948 1269774 1272159 1280664 1282176 1290828 1292352 1300992 1319276 1329664 1332738 1341648 1343232 1344168 1352296 1354752 1362944 1365504 1371216 1385208 1408176 1430528 1436512 1453896 1463616 1465344 1475232 1481403 1495872 1505966 1507744 1517824 1521333 1533312 1536192 1542618 1554861 1565256 1567104 1593088 1609344 1616076 1628902 1641728 1642872 1655808 1659636 1672704 1693032 1696212 1707552 1709568 1721104 1723136 1755648 1760913 1762992 1776984 1788864 1790976 1792224 1828288 1846944 1848231 1862784 1877568 1885422 1904661 1936242 1938528 1951488 1966976 1975204 1978914 1994496 1999107 2012472 2014848 2028444 2044416 2048256 2056824 2073148 2087008 2089472 2112264 2128896 2145792 2154768 2190496 2212848 2243808 2257376 2258949 2261616 2276736 2299968 2347884 2350656 2366518 2369312 2385152 2389632 2414016 2424114 2443353 2462592 2464308 2483712 2503424 2513896 2539548 2544318 2561328 2564352 2581656 2584704 2601984 2638552 2659328 2665476 2683296 2686464 2688336 2704592 2731008 2742432 2770416 2816352 2828133 2873024 2904363 2907792 2927232 2950464 2962806 2968371 2991744 3011932 3015488 3035648 3042666 3066624 3072384 3085236 3109722 3130512 3134208 3186176 3218688 3232152 3257804 3283456 3285744 3319272 3345408 3386064 3392424 3415104 3419136 3442208 3446272 3456607 3511296 3521826 3525984 3549777 3553968 3577728 3584448 3628009 3656576 3693888 3696462 3725568 3755136 3770844 3809322 3872484 3877056 3902976 3933952 3950408 3957828 3988992 3998214 4024944 4029696 4056888 4088832 4096512 4113648 4146296 4174016 4178944 4224528 4291584 4309536 4380992 4425696 4444209 4487616 4514752 4517898 4523232 4553472 4563999 4599936 4664583 4695768 4701312 4733036 4738624 4770304 4779264 4828032 4848228 4886706 4925184 4928616 4967424 5006848 5027792 5079096 5088636 5122656 5128704 5163312 5169408 5277104 5330952 5366592 5372928 5376672 5409184 5484864 5540832 5632704 5656266 5701157 5746048 5808726 5815584 5854464 5900928 5925612 5936742 5983488 6023864 6030976 6071296 6085332 6133248 6144768 6170472 6219444 6261024 6268416 6372352 6437376 6464304 6515608 6566912 6571488 6638544 6772128 6776847 6784848 6830208 6884416 6892544 6913214 7043652 7051968 7099554 7107936 7155456 7168896 7256018 7313152 7330059 7387776 7392924 7451136 7510272 7541688 7618644 7744968 7754112 7805952 7867904 7900816 7915656 7977984 7996428 8049888 8059392 8113776 8193024 8227296 8282813 8292592 8348032 8449056 8484399 8619072 8761984 8851392 8888418 8905113 8958961 8975232 9029504 9035796 9046464 9106944 9127998 9199872 9329166 9391536 9402624 9466072 9477248 9540608 9558528 9656064 9696456 9773412 9850368 9857232 10013696 10055584 10158192 10177272 10245312 10257408 10326624 10338816 10369821 10554208 10649331 10661904 10733184 10753344 10818368 10884027 10969728 11081664 11265408 11312532 11402314 11492096 11617452 11631168 11708928 11801856 11851224 11873484 11966976 12047728 12061952 12170664 12266496 12289536 12340944 12438888 12522048 12536832 12874752 12928608 13031216 13142976 13277088 13332627 13544256 13553694 13569696 13660416 13768832 13826428 13993749 14087304 14103936 14199108 14215872 14310912 14337792 14512036 14626304 14660118 14775552 14785848 14902272 15020544 15083376 15237288 15489936 15508224 15735808 15801632 15831312 15992856 16099776 16118784 16227552 16454592 16565626 16585184 16696064 16898112 16968798 17103471 17238144 17523968 17702784 17776836 17810226 17917922 17950464 18059008 18071592 18092928 18213888 18255996 18399744 18658332 18783072 18805248 18932144 18954496 19117056 19312128 19392912 19546824 19700736 19714464 20111168 20316384 20330541 20354544 20490624 20653248 20677632 20739642 21108416 21298662 21323808 21466368 21506688 21636736 21768054 21939456 21990177 22163328 22530816 22625064 22804628 22984192 23234904 23262336 23417856 23603712 23702448 23746968 23933952 24095456 24123904 24341328 24579072 24681888 24848439 24877776 25044096 25857216 26062432 26285952 26554176 26665254 26876883 27088512 27107388 27139392 27320832 27537664 27652856 27987498 28174608 28207872 28398216 28431744 28621824 28675584 29024072 29252608 29320236 29551104 29571696 30041088 30166752 30474576 30979872 31016448 31109463 31603264 31662624 31947993 31985712 32199552 32455104 32652081 32909184 33131252 33170368 33392128 33796224 33937596 34206942 34476288 35047936 35405568 35553672 35620452 35835844 35900928 36118016 36143184 36185856 36511992 36799488 37316664 37566144 37610496 37864288 37908992 38624256 38785824 39093648 39428928 39908099 40222336 40632768 40661082 40709088 40981248 41306496 41479284 42216832 42597324 42647616 42932736 43013376 43273472 43536108 43878912 43980354 44326656 45061632 45250128 45609256 45968384 46469808 46524672 47207424 47404896 47493936 48190912 48247808 48682656 49363776 49696878 49755552 50088192 51310413 51714432 52124864 52571904 53108352 53330508 53753766 54177024 54214776 54278784 54641664 55075328 55305712 55974996 56349216 56415744 56796432 56863488 57351168 58048144 58640472 59102208 59143392 60333504 60949152 61959744 62032896 62218926 62712727 63206528 63325248 63895986 63971424 64399104 64910208 65304162 65818368 66262504 66340736 66784256 67592448 67875192 68413884 68952576 70095872 70811136 71107344 71240904 71671688 71801856 72236032 72286368 72371712 73023984 74545317 74633328 75132288 75728576 75817984 77571648 78187296 78857856 79816198 80444672 80630649 81265536 81322164 81418176 81962496 82612992 82958568 84433664 85194648 85295232 85865472 86026752 86546944 87072216 87757824 87960708 88653312 90123264 90500256 91218512 92939616 93049344 93328389 94809792 94987872 96381824 97365312 97956243 98727552 99393756 99511104 100176384 102620826 103428864 104249728 105143808 106216704 106661016 107507532 108354048 108429552 108557568 110150656 110611424 111949992 112698432 112831488 113592864 113726976 116096288 117280944 118286784 119724297 120667008 121898304 123919488 124437852 125425454 126413056 126650496 127791972 127942848 128798208 129820416 130608324 131636736 132525008 132681472 135184896 135750384 136827768 137905152 141622272 142214688 142481808 143343376 144572736 144743424 146047968 149090634 149266656 150264576 151457152 153931239 155143296 156374592 157715712 159632396 160889344 161261298 162531072 162644328 162836352 163924992 165225984 165917136 168867328 170389296 170590464 172053504 173093888 174144432 175921416 177306624 181000512 182437024 185879232 186098688 186656778 188138181 189619584 189975744 192763648 194730624 195912486 197455104 198787512 199022208 200352768 205241652 206857728 208499456 210287616 212433408 213322032 215015064 216708096 216859104 217115136 221222848 223635951 223899984 225396864 227185728 227453952 232192576 234561888 236573568 239448594 241334016 241891947 243796608 247838976 248875704 250850908 252826112 253300992 255583944 255885696 257596416 259640832 261216648 263273472 265050016 265362944 270369792 271500768 273655536 284429376 284963616 286686752 289145472 292095936 298181268 298533312 300529152 302914304 307862478 310286592 312749184 315431424 319264792 321778688 322522596 325062144 325288656 325672704 330451968 331834272 337734656 340778592 341180928 348288864 351842832 359172891 362001024 364874048 371758464 373313556 376276362 379239168 379951488 385527296 389461248 391824972 394910208 397575024 398044416 410483304 413715456 416998912 424866816 426644064 430030128 433718208 434230272 438989089 442445696 447271902 447799968 450793728 454371456 464385152 469123776 473147136 478897188 482668032 483783894 487593216 495677952 497751408 501701816 505652224 506601984 511167888 511771392 519281664 522433296 530100032 530725888 543001536 547311072 564414543 568858752 569927232 573373504 578290944 584191872 596362536 597066624 601058304 605828608 615724956 620573184 625498368 630862848 638529584 645045192 650124288 650577312 651345408 663668544 681557184 682361856 696577728 703685664 718345782 724002048 729748096 743516928 746627112 752552724 758478336 759902976 771054592 778922496 783649944 789820416 795150048 796088832 820966608 833997824 853288128 860060256 867436416 877978178 884891392 894543804 895599936 901587456 908742912 928770304 938247552 946294272 957794376 965336064 967567788 975186432 991355904 995502816 1003403632 1013203968 1022335776 1023542784 1044866592 1060200064 1077518673 1086003072 1094622144 1128829086 1137717504 1139854464 1146747008 1156581888 1168383744 1192725072 1194133248 1211657216 1231449912 1241146368 1250996736 1277059168 1290090384 1301154624 1302690816 1316967267 1327337088 1363114368 1393155456 1407371328 1436691564 1448004096 1459496192 1487033856 1493254224 1505105448 1516956672 1519805952 1557844992 1567299888 1590300096 1592177664 1641933216 1693243629 1706576256 1720120512 1734872832 1755956356 1769782784 1789087608 1791199872 1803174912 1817485824 1857540608 1876495104 1892588544 1915588752 1935135576 1950372864 1991005632 2006807264 2044671552 2047085568 2089733184 2120400128 2155037346 2172006144 2189244288 2257658172 2275435008 2279708928 2293494016 2313163776 2336767488 2385450144 2388266496 2462899824 2501993472 2554118336 2580180768 2602309248 2633934534 2654674176 2726228736 2786310912 2814742656 2873383128 2896008192 2918992384 2974067712 2986508448 3010210896 3039611904 3134599776 3180600192 3283866432 3386487258 3413152512 3440241024 3469745664 3511912712 3539565568 3578175216 3582399744 3634971648 3715081216 3752990208 3831177504 3870271152 3950901801 3982011264 4013614528 4089343104 4179466368 4240800256 4310074692 4344012288 4378488576 4515316344 4550870016 4559417856 4586988032 4673534976 4770900288 4776532992 4925799648 5108236672 5160361536 5204618496 5267869068 5309348352 5452457472 5572621824 5629485312 5746766256 5837984768 5973016896 6020421792 6269199552 6361200384 6567732864 6772974516 6826305024 6880482048 6939491328 7023825424 7156350432 7164799488 7505980416 7662355008 7740542304 7901803602 7964022528 8027229056 8178686208 8358932736 8481600512 8620149384 8688024576 8756977152 9030632688 9118835712 9173976064 9541800576 9851599296 10216473344 10320723072 10409236992 10535738136 10618696704 10904914944 11145243648 11258970624 11493532512 11852705403 11946033792 12040843584 12538399104 12722400768 13135465728 13545949032 13652610048 13760964096 14047650848 14312700864 14329598976 15324710016 15481084608 15803607204 15928045056 16054458112 16357372416 16717865472 17240298768 17513954304 18061265376 19083601152 19703198592 20432946688 20641446144 20818473984 21071476272 22517941248 22987065024 23705410806 23892067584 24081687168 25076798208 25444801536 26270931456 27091898064 27521928192 28095301696 28625401728 30649420032 30962169216 31607214408 31856090112 32108916224 32714744832 33435730944 34480597536 36122530752 38167202304 39406397184 40865893376 41282892288 42142952544 45974130048 47410821612 47784135168 48163374336 50153596416 52541862912 54183796128 56190603392 57250803456 61298840064 61924338432 63214428816 64217832448 68961195072 72245061504 76334404608 78812794368 82565784576 84285905088 91948260096 94821643224 95568270336 96326748672 100307192832 108367592256 112381206784 114501606912 122597680128 123848676864 126428857632 137922390144 144490123008 157625588736 168571810176 183896520192 189643286448 192653497344 216735184512 224762413568 229003213824 247697353728 252857715264 275844780288 288980246016 337143620352 367793040384 379286572896 433470369024 449524827136 505715430528 551689560576 577960492032 674287240704 758573145792 866940738048 1011430861056 1103379121152 1348574481408 1517146291584 1733881476096 2022861722112 3034292583168 4045723444224 6068585166336 12137170332672
- Sum of all divisors σ(n): 47227776122880
- Sum of proper divisors (its aliquot sum) s(n): 35090605790208
- 12137170332672 is an abundant number, because the sum of its proper divisors (35090605790208) is greater than itself. Its abundance is 22953435457536
Bases of 12137170332672
- Binary: 101100001001111001111011100111101100000000002
- Hexadecimal: 0xB09E7B9EC00
- Base-36: 4AVQLUDC0
Squares and roots of 12137170332672
- 12137170332672 squared (121371703326722) is 147310903684293347150659584
- 12137170332672 cubed (121371703326723) is 1787937529876107634697807366441505128448
-
The
square root of 12137170332672 is 3483844.1889200499 -
The
cube root of 12137170332672 is 22981.1883564915
Scales and comparisons
How big is 12137170332672?- 12,137,170,332,672 seconds is equal to 385,924 years, 24 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 12,137,170,332,672 would take you about nine hundred sixty-four thousand, eight hundred eleven 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 12137170332672 cubic inches would be around 1915.1 feet tall.
Recreational maths with 12137170332672
- 12137170332672 backwards is 27623307173121
- The number of decimal digits it has is: 14
- The sum of 12137170332672's digits is 45
- 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 12137170332672 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 12137170332672 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12137170332672/
Chicago style:
Numbermatics. 2024. "Number 12137170332672 - Facts about the integer". https://numbermatics.com/n/12137170332672/
The information we have on file for 12137170332672 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 12137170332672, math, Factors of 12137170332672, curriculum, school, college, exams, university, Prime factorization of 12137170332672, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, one hundred thirty-seven billion, one hundred seventy million, three hundred thirty-two thousand, six hundred seventy-two.