138180309126912
138,180,309,126,912 is an even composite number composed of seven prime numbers multiplied together.
138180309126912 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138180309126912:
28 × 32 × 132 × 372 × 53 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 37 × 37 × 53 × 67 × 73)See below for interesting mathematical facts about the number 138180309126912 from the Numbermatics database.
Names of 138180309126912
- Cardinal: 138180309126912 can be written as One hundred thirty-eight trillion, one hundred eighty billion, three hundred nine million, one hundred twenty-six thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.38180309126912 × 1014
Factors of 138180309126912
Divisors of 138180309126912
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 53 64 67 72 73 74 78 96 104 106 111 117 128 134 144 146 148 156 159 169 192 201 208 212 219 222 234 256 268 288 292 296 312 318 333 338 384 402 416 424 438 444 468 477 481 507 536 576 584 592 603 624 636 657 666 676 689 768 804 832 848 871 876 888 936 949 954 962 1014 1072 1152 1168 1184 1206 1248 1272 1314 1332 1352 1369 1378 1443 1521 1608 1664 1696 1742 1752 1776 1872 1898 1908 1924 1961 2028 2067 2144 2304 2336 2368 2412 2479 2496 2544 2613 2628 2664 2701 2704 2738 2756 2847 2886 3042 3216 3328 3392 3484 3504 3551 3552 3744 3796 3816 3848 3869 3922 4056 4107 4134 4288 4329 4672 4736 4824 4891 4958 4992 5088 5226 5256 5328 5402 5408 5476 5512 5694 5772 5883 6084 6201 6253 6432 6784 6968 7008 7102 7104 7437 7488 7592 7632 7696 7738 7839 7844 8103 8112 8214 8268 8541 8576 8658 8957 9344 9472 9648 9782 9916 9984 10176 10452 10512 10653 10656 10804 10816 10952 11024 11323 11388 11544 11607 11766 12168 12321 12337 12402 12506 12864 13568 13936 14016 14204 14208 14673 14874 14976 15184 15264 15392 15476 15678 15688 16206 16224 16428 16536 17082 17152 17316 17649 17797 17914 18688 18759 19296 19564 19832 20352 20904 21024 21306 21312 21608 21632 21904 22048 22311 22646 22776 23088 23214 23532 24309 24336 24642 24674 24804 25012 25493 25728 26871 27872 28032 28408 28416 29346 29748 29952 30368 30528 30784 30952 31356 31376 31959 32227 32412 32448 32856 33072 33969 34164 34632 34821 35113 35298 35594 35828 37011 37518 38592 39128 39664 40704 41808 42048 42612 42624 43216 43264 43808 44019 44096 44622 45292 45552 46163 46176 46428 47064 48618 48672 49284 49348 49608 50024 50297 50986 51456 53391 53742 55744 56064 56277 56816 58692 59496 60736 61056 61568 61904 62712 62752 63583 63918 64454 64824 64896 65712 66144 67938 68328 69264 69642 70226 70596 71188 71656 72557 74022 75036 76479 77184 78256 79328 80613 83616 84096 85224 85248 86432 87616 88038 88192 89244 90584 91104 91723 92326 92352 92856 94128 96681 97236 97344 98568 98696 99216 99937 100048 100594 101907 101972 105339 106782 107484 111033 111488 112554 113632 117384 118992 121472 122112 123136 123808 125424 125504 127166 127836 128908 129648 129792 131387 131424 132288 135876 136656 138489 138528 139284 140452 141192 142376 143153 143312 145114 148044 150072 150891 152958 154368 156512 158656 160173 161226 167232 168192 170448 172864 175232 176076 176384 178488 180967 181168 182208 183446 184652 184704 185712 188256 190749 193362 194472 194688 197136 197392 198432 199874 200096 201188 203814 203944 210678 213564 214968 217671 222066 222976 225108 227264 229437 231361 234768 237984 242944 247616 250848 251008 254332 255672 257816 259223 259296 262774 262848 264576 271752 273312 275169 276978 277056 278568 280904 282384 284752 286306 286624 290043 290228 296088 299811 300144 301782 305916 313024 316017 317312 320346 322452 331409 334464 340896 345728 350464 352152 356976 361934 362336 364416 366892 369304 369408 371424 376512 381498 386724 388944 389376 394161 394272 394784 396864 399748 400192 402376 407628 407888 415467 418951 421356 427128 429459 429936 435342 444132 450216 452673 454528 456469 458874 462722 469536 475968 495232 501696 502016 508664 511344 515632 518446 518592 525548 525696 529152 542901 543504 546624 550338 553956 554112 557136 561808 564768 569504 572247 572612 573248 580086 580456 592176 599622 600119 600288 603564 611832 626048 632034 634624 640692 644904 653013 653861 662818 668928 681792 691456 694083 704304 713952 723868 724672 728832 733784 738608 742848 753024 762996 773448 777669 777888 788322 788544 789568 793728 799496 800384 804752 815256 815776 825507 826579 830934 837902 842712 854256 858918 859872 870684 888264 899433 900432 905346 909056 912938 917748 925444 939072 943241 951936 990464 994227 1003392 1017328 1022688 1031264 1036892 1037184 1051096 1051392 1085802 1087008 1093248 1100676 1107912 1108224 1114272 1123616 1129536 1139008 1144494 1145224 1146496 1160172 1160912 1182483 1184352 1192399 1199244 1200238 1200576 1207128 1223664 1252096 1256853 1264068 1281384 1288377 1289808 1299181 1306026 1307722 1325636 1363584 1369407 1388166 1408608 1427904 1447736 1449344 1467568 1477216 1485696 1506048 1525992 1546896 1555338 1555776 1576644 1577088 1579136 1587456 1598992 1600768 1609504 1628703 1630512 1631552 1651014 1653158 1661868 1675804 1685424 1708031 1708512 1717836 1719744 1741368 1776528 1798866 1800357 1800864 1810692 1825876 1835496 1850888 1860989 1878144 1886482 1903872 1961583 1988454 2006784 2034656 2045376 2062528 2073784 2074368 2082249 2102192 2171604 2174016 2186496 2201352 2215824 2228544 2247232 2259072 2278016 2288988 2290448 2292992 2320344 2321824 2333007 2352571 2364966 2368704 2384798 2398488 2400476 2401152 2414256 2447328 2479737 2513706 2528136 2562768 2576754 2579616 2598362 2612052 2615444 2651272 2727168 2738814 2776332 2817216 2829723 2855808 2895472 2898688 2935136 2954432 2971392 2982681 3051984 3093792 3110676 3111552 3153288 3154176 3158272 3197984 3219008 3257406 3261024 3263104 3302028 3306316 3323736 3351608 3369899 3370848 3416062 3417024 3435672 3439488 3482736 3553056 3577197 3597732 3600714 3601728 3621384 3651752 3670992 3701776 3721978 3756288 3770559 3772964 3897543 3923166 3976908 4069312 4090752 4108221 4125056 4147568 4164498 4204384 4343208 4348032 4402704 4431648 4457088 4494464 4518144 4556032 4577976 4580896 4640688 4643648 4666014 4705142 4729932 4737408 4769596 4796976 4800952 4802304 4828512 4861319 4894656 4959474 5027412 5056272 5124093 5125536 5153508 5159232 5196724 5224104 5230888 5296661 5302544 5401071 5477628 5552664 5582967 5634432 5659446 5711616 5790944 5870272 5884749 5908864 5965362 6103968 6187584 6221352 6223104 6306576 6395968 6438016 6514812 6522048 6526208 6604056 6612632 6647472 6695779 6703216 6739798 6741696 6832124 6834048 6871344 6878976 6965472 7057713 7106112 7154394 7195464 7201428 7203456 7242768 7303504 7341984 7403552 7439211 7443956 7541118 7545928 7795086 7846332 7953816 8138624 8181504 8216442 8250112 8295136 8328996 8408768 8489169 8686416 8696064 8805408 8863296 8914176 8988928 9155952 9161792 9281376 9287296 9332028 9410284 9459864 9474816 9539192 9591251 9593952 9601904 9657024 9722638 9789312 9918948 10054824 10109697 10112544 10248186 10251072 10307016 10318464 10393448 10448208 10461776 10593322 10605088 10731591 10802142 10955256 11105328 11165934 11268864 11318892 11581888 11692629 11740544 11769498 11817728 11930724 12207936 12262133 12375168 12442704 12613152 12791936 12876032 13029624 13044096 13208112 13225264 13294944 13391558 13406432 13479596 13483392 13664248 13668096 13742688 13930944 14115426 14212224 14308788 14390928 14402856 14406912 14485536 14583957 14607008 14683968 14807104 14878422 14887912 15082236 15091856 15372279 15501187 15590172 15692664 15889983 15907632 16277248 16432884 16590272 16657992 16748901 16817536 16889353 16978338 17372832 17610816 17726592 18311904 18323584 18562752 18574592 18664056 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41847104 42346278 42373288 42420352 42926364 43208568 43751871 43808687 43821024 44408806 44421312 44663736 45275568 46327552 46503561 46770516 47077992 47669949 47722896 48385714 48831744 49048532 49770816 50452608 50668059 52118496 52832448 52901056 53179776 53566232 53625728 53918384 54656992 54970752 55723776 56461704 57235152 57547506 57563712 57611424 57942144 58335828 58428032 58735872 59228416 59513688 59551648 60262011 60328944 60367424 60658182 61166846 61489116 62004748 62360688 62770656 63197147 63559932 63630528 65731536 66361088 66613209 66631968 66995604 67557412 67913352 68856593 69491328 70443264 72578571 73247616 73572798 74251008 74656224 75282272 75678912 76313536 76730008 76751616 76815232 77781104 79351584 80349348 80438592 80877576 80900352 81985488 82456128 83147584 83585664 83694208 84692556 84746576 84840704 85852728 86321259 86417136 87045127 87503742 87617374 87642048 88817612 88842624 89327472 90551136 91750269 93007122 93541032 94155984 95339898 95445792 96771428 98097064 99541632 100905216 101336118 104236992 105664896 105802112 106359552 107132464 107251456 107836768 109313984 109941504 110359197 112923408 114470304 115095012 115127424 115222848 115884288 116671656 116856064 119027376 119103296 120524022 120657888 120734848 121316364 122333692 122978232 124009496 124686263 124721376 125541312 126394294 127119864 127261056 131426061 131463072 133226418 133263936 133991208 135114824 135826704 137713186 138982656 139510683 145157142 146495232 147145596 149312448 150564544 151357824 152004177 152627072 153460016 153630464 155562208 158703168 160698696 160877184 161755152 163970976 164912256 166295168 167171328 167388416 169385112 169493152 171705456 172642518 172834272 174090254 175007484 175234748 175284096 177635224 177685248 178654944 181102272 183500538 186014244 187082064 188311968 189591441 190679796 190891584 193542856 196194128 199083264 199839627 202672236 206569779 208473984 211329792 211604224 214264928 215673536 217735713 218627968 220718394 225846816 228940608 230190024 230254848 230445696 233343312 238054752 238206592 241048044 241315776 241469696 242632728 244667384 245956464 248018992 249372526 249442752 251082624 252788588 254239728 254522112 261135381 262852122 262926144 266452836 266527872 267982416 270229648 271653408 275250807 275426372 279021366 290314284 294291192 298624896 301129088 302715648 304008354 305254144 306920032 311124416 317406336 321397392 321754368 323510304 327941952 329824512 332590336 338770224 338986304 343410912 345285036 345668544 348180508 350014968 350469496 350568192 354876287 355270448 357309888 362204544 367001076 372028488 374058789 374164128 376623936 379182882 381359592 381783168 387085712 392388256 394278183 399679254 405344472 413139558 416947968 428529856 431347072 435471426 437255936 441436788 451693632 457881216 460380048 460891392 466686624 476109504 476413184 482096088 482631552 485265456 489334768 491912928 496037984 498745052 498885504 502165248 505577176 508479456 522270762 525704244 525852288 532905672 533055744 535964832 540459296 543306816 550501614 550852744 558042732 568774323 580628568 588582384 597249792 602258176 608016708 613840064 619709337 622248832 634812672 642794784 647020608 655883904 677540448 677972608 686821824 690570072 691337088 696361016 700029936 700938992 709752574 710540896 714619776 724409088 734002152 744056976 748117578 748328256 753247872 758365764 762719184 763566336 774171424 783406143 784776512 788556366 799358508 810688944 821562911 826279116 857059712 862694144 870942852 882873576 895135709 903387264 915762432 920760096 933373248 952219008 964192176 965263104 970530912 978669536 983825856 992075968 997490104 997771008 1011154352 1016958912 1044541524 1051408488 1051704576 1064628861 1065811344 1071929664 1080918592 1086613632 1101003228 1101705488 1116085464 1122176367 1131586651 1137548646 1161257136 1177164768 1216033416 1227680128 1239418674 1244497664 1285589568 1294041216 1311767808 1355080896 1355945216 1373643648 1381140144 1382674176 1392722032 1400059872 1401877984 1419505148 1421081792 1429239552 1468004304 1488113952 1496235156 1496656512 1506495744 1516731528 1525438368 1548342848 1566812286 1569553024 1577112732 1598717016 1620921419 1621377888 1643125822 1652558232 1714119424 1741885704 1765747152 1790271418 1806774528 1841520192 1866746496 1904438016 1928384352 1941061824 1957339072 1967651712 1984151936 1994980208 2022308704 2033917824 2089083048 2102816976 2129257722 2131622688 2143859328 2161837184 2173227264 2202006456 2203410976 2232170928 2244352734 2263173302 2275097292 2322514272 2354329536 2432066832 2455360256 2464688733 2478837348 2571179136 2588082432 2685407127 2710161792 2747287296 2762280288 2785444064 2800119744 2803755968 2839010296 2842163584 2936008608 2976227904 2992470312 2993313024 3033463056 3050876736 3096685696 3133624572 3139106048 3154225464 3193886583 3197434032 3241842838 3242755776 3286251644 3305116464 3394759953 3483771408 3531494304 3580542836 3683040384 3733492992 3856768704 3882123648 3914678144 3935303424 3968303872 3989960416 4044617408 4067835648 4178166096 4205633952 4258515444 4263245376 4287718656 4323674368 4404012912 4406821952 4464341856 4488705468 4526346604 4550194584 4613391731 4645028544 4708659072 4862764257 4864133664 4929377466 4957674696 5142358272 5370814254 5420323584 5524560576 5570888128 5600239488 5607511936 5678020592 5684327168 5872017216 5952455808 5984940624 6066926112 6101753472 6193371392 6267249144 6308450928 6387773166 6394868064 6483685676 6485511552 6572503288 6610232928 6789519906 6967542816 7062988608 7161085672 7366080768 7394066199 7713537408 7764247296 7829356288 7979920832 8056221381 8089234816 8356332192 8411267904 8517030888 8526490752 8808025824 8813643904 8928683712 8977410936 9052693208 9100389168 9226783462 9290057088 9417318144 9725528514 9728267328 9858754932 9915349392 10184279859 10741628508 11049121152 11141776256 11200478976 11215023872 11356041184 11744034432 11904911616 11969881248 12133852224 12203506944 12534498288 12616901856 12775546332 12789736128 12967371352 12971023104 13145006576 13220465856 13579039812 13840175193 13935085632 14125977216 14322171344 14588292771 14788132398 15427074816 15959841664 16112442762 16178469632 16712664384 16822535808 17034061776 17052981504 17616051648 17627287808 17857367424 17954821872 18105386416 18200778336 18453566924 18580114176 19451057028 19456534656 19717509864 19830698784 20368559718 21483257016 22098242304 22283552512 22712082368 23488068864 23939762496 24267704448 25068996576 25233803712 25551092664 25579472256 25934742704 26290013152 26440931712 27158079624 27680350386 27870171264 28251954432 28644342688 29176585542 29576264796 31919683328 32224885524 33425328768 33645071616 34068123552 35232103296 35714734848 35909643744 36210772832 36401556672 36907133848 38902114056 38913069312 39435019728 39661397568 40737119436 41520525579 42966514032 45424164736 47879524992 48535408896 50137993152 50467607424 51102185328 51158944512 51869485408 52580026304 52881863424 54316159248 55360700772 55740342528 57288685376 58353171084 59152529592 59974092503 64449771048 66850657536 68136247104 70464206592 71819287488 72421545664 72803113344 73814267696 77804228112 78870039456 79322795136 81474238872 83041051158 85933028064 90848329472 95759049984 100275986304 100935214848 102204370656 103738970816 105160052608 108632318496 110721401544 114577370752 116706342168 118305059184 119948185006 128899542096 136272494208 143638574976 144843091328 145606226688 147628535392 155608456224 157740078912 158645590272 162948477744 166082102316 171866056128 179922277509 200551972608 204408741312 207477941632 210320105216 217264636992 221442803088 229154741504 233412684336 236610118368 239896370012 257799084192 272544988416 287277149952 289686182656 295257070784 311216912448 315480157824 325896955488 332164204632 343732112256 359844555018 408817482624 414955883264 434529273984 442885606176 466825368672 473220236736 479792740024 515598168384 539766832527 590514141568 622433824896 630960315648 651793910976 664328409264 687464224512 719689110036 817634965248 869058547968 885771212352 933650737344 946440473472 959585480048 1031196336768 1079533665054 1181028283136 1244867649792 1303587821952 1328656818528 1439378220072 1771542424704 1867301474688 1892880946944 1919170960096 2062392673536 2159067330108 2607175643904 2657313637056 2878756440144 3543084849408 3734602949376 3838341920192 4318134660216 5314627274112 5757512880288 7676683840384 8636269320432 10629254548224 11515025760576 15353367680768 17272538640864 23030051521152 34545077281728 46060103042304 69090154563456 138180309126912
- Sum of all divisors σ(n): 464776147587024
- Sum of proper divisors (its aliquot sum) s(n): 326595838460112
- 138180309126912 is an abundant number, because the sum of its proper divisors (326595838460112) is greater than itself. Its abundance is 188415529333200
Bases of 138180309126912
- Binary: 111110110101100100111000011110110001111000000002
- Hexadecimal: 0x7DAC9C3D8F00
- Base-36: 1CZB5OCE80
Squares and roots of 138180309126912
- 138180309126912 squared (1381803091269122) is 19093797830408959767722655744
- 138180309126912 cubed (1381803091269123) is 2638386886612671727325346699047762581782528
-
The
square root of 138180309126912 is 11755012.0853579729 -
The
cube root of 138180309126912 is 51698.9893546555
Scales and comparisons
How big is 138180309126912?- 138,180,309,126,912 seconds is equal to 4,393,706 years, 21 weeks, 2 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,180,309,126,912 would take you about ten million, nine hundred eighty-four thousand, two hundred sixty-six 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 138180309126912 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138180309126912
- 138180309126912 backwards is 219621903081831
- The number of decimal digits it has is: 15
- The sum of 138180309126912's digits is 54
- More coming soon!
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"Number 138180309126912 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138180309126912 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138180309126912/
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The information we have on file for 138180309126912 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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