138214381319831600
138,214,381,319,831,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138214381319831600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138214381319831600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138214381319831600:
24 × 52 × 75 × 197 × 23
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 19 × 19 × 19 × 19 × 19 × 23)See below for interesting mathematical facts about the number 138214381319831600 from the Numbermatics database.
Names of 138214381319831600
- Cardinal: 138214381319831600 can be written as One hundred thirty-eight quadrillion, two hundred fourteen trillion, three hundred eighty-one billion, three hundred nineteen million, eight hundred thirty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.382143813198316 × 1017
Factors of 138214381319831600
Divisors of 138214381319831600
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 23 25 28 35 38 40 46 49 50 56 70 76 80 92 95 98 100 112 115 133 140 152 161 175 184 190 196 200 230 245 266 280 304 322 343 350 361 368 380 392 400 437 460 475 490 532 560 575 644 665 686 700 722 760 784 805 874 920 931 950 980 1064 1127 1150 1225 1288 1330 1372 1400 1444 1520 1610 1715 1748 1805 1840 1862 1900 1960 2128 2185 2254 2300 2401 2450 2527 2576 2660 2744 2800 2888 3059 3220 3325 3430 3496 3610 3724 3800 3920 4025 4370 4508 4600 4655 4802 4900 5054 5320 5488 5635 5776 6118 6440 6517 6650 6859 6860 6992 7220 7448 7600 7889 8050 8303 8575 8740 9016 9025 9200 9310 9604 9800 10108 10640 10925 11270 12005 12236 12635 12880 13034 13300 13718 13720 14440 14896 15295 15778 16100 16606 16807 17150 17480 17689 18032 18050 18620 19208 19600 20216 21413 21850 22540 23275 24010 24472 25270 26068 26600 27436 27440 28175 28880 30590 31556 32200 32585 33212 33614 34295 34300 34960 35378 36100 37240 38416 39445 40432 41515 42826 43700 45080 45619 46550 48013 48020 48944 50540 52136 53200 54872 55223 56350 58121 60025 61180 63112 63175 64400 65170 66424 67228 68590 68600 70756 72200 74480 76475 78890 83030 84035 85652 87400 88445 90160 91238 93100 96026 96040 101080 104272 107065 109744 110446 112700 116242 120050 122360 123823 126224 126350 130321 130340 132848 134456 137180 137200 141512 144400 149891 152950 157757 157780 162925 166060 168070 171304 171475 174800 176890 182476 186200 192052 192080 197225 202160 207575 214130 220892 225400 228095 232484 240065 240100 244720 247646 252700 260642 260680 268912 274360 276115 283024 290605 299782 305900 315514 315560 319333 325850 332120 336091 336140 342608 342950 353780 364952 372400 384104 386561 394450 406847 415150 420175 428260 441784 442225 450800 456190 464968 480130 480200 495292 505400 521284 521360 535325 548720 552230 581210 599564 611800 619115 631028 631120 638666 651605 651700 664240 672182 672280 685900 707560 729904 749455 768208 773122 788785 788900 813694 830300 840350 856520 866761 883568 884450 912247 912380 929936 960260 960400 990584 1010800 1042568 1049237 1070650 1104299 1104460 1140475 1162420 1199128 1200325 1223600 1238230 1262056 1277332 1303210 1303400 1344364 1344560 1371800 1380575 1415120 1453025 1498910 1546244 1577570 1577800 1596665 1627388 1660600 1680455 1680700 1713040 1733522 1768900 1824494 1824760 1920520 1932805 1981168 2034235 2085136 2098474 2141300 2208598 2208920 2280950 2324840 2352637 2398256 2400650 2476099 2476460 2524112 2554664 2606420 2606800 2688728 2743600 2761150 2847929 2906050 2997383 2997820 3092488 3095575 3155140 3155600 3193330 3254776 3258025 3321200 3360910 3361400 3467044 3537800 3648988 3649520 3747275 3841040 3865610 3943925 4068470 4196948 4282600 4333805 4417196 4417840 4561235 4561900 4649680 4705274 4801300 4952198 4952920 5109328 5212840 5246185 5377456 5521495 5522300 5695858 5812100 5994766 5995640 6067327 6184976 6191150 6310280 6385729 6386660 6509552 6516050 6721820 6722800 6934088 7075600 7297976 7344659 7494550 7730093 7731220 7887850 7983325 8136940 8393896 8402275 8565200 8667610 8834392 9122470 9123800 9410548 9602600 9664025 9904396 9905840 10171175 10425680 10492370 11042990 11044600 11391716 11624200 11763185 11989532 11991280 12134654 12380495 12382300 12620560 12771458 12773320 13032100 13443640 13868176 14239645 14595952 14689318 14986915 14989100 15460186 15462440 15775700 15966650 16273880 16468459 16787792 16804550 17332693 17335220 17668784 18244940 18247600 18821096 19205200 19328050 19808792 19935503 20342350 20981681 20984740 21669025 22085980 22089200 22783432 22806175 23248400 23526370 23979064 24269308 24760990 24764600 25542916 25546640 26064200 26230925 26887280 27607475 28479290 29378636 29973830 29978200 30336635 30920372 30924880 31551400 31928645 31933300 32547760 32936918 33609100 34665386 34670440 36489880 36723295 37642192 38650465 38656100 39617584 39871006 40684700 41963362 41969480 43338050 44171960 44700103 45566864 45612350 47045881 47052740 47958128 48538616 49521980 49529200 51085832 52128400 52461850 54110651 55214950 56950277 56958580 58757272 58815925 59947660 59956400 60673270 61840744 61902475 63102800 63857290 63866600 65873836 67218200 69330772 69340880 71198225 72979760 73446590 74934575 77300930 77312200 79742012 81369400 82342295 83926724 83938960 86663465 86676100 88343920 89400206 91224700 94091762 94105480 97077232 99043960 99677515 102171664 104908405 104923700 108221302 110429900 113900554 113917160 115279213 117514544 117631850 119895320 121328851 121346540 123681488 123804950 127714580 127733200 131747672 134436400 138661544 139548521 142396450 146871767 146893180 149869150 151683175 154601860 154624400 159484024 159643225 162738800 164684590 167853448 173326930 173352200 178800412 182449400 183616475 188183524 188210960 193252325 198087920 199355030 209816810 209847400 216442604 220859800 223500515 227801108 227834320 230558426 235229405 235263700 239790640 242657702 242693080 247609900 255429160 263495344 270553255 277323088 279097042 284751385 284792900 293743534 293786360 299738300 303366350 309203720 312900721 318968048 319286450 329321167 329369180 335706896 346653860 346704400 357600824 364898800 367232950 376367048 378774557 386504650 398651939 398710060 411711475 419633620 419694800 432885208 433317325 441719600 447001030 455602216 461116852 470458810 470527400 485315404 485386160 495219800 498387575 510858320 524542025 541106510 558194084 569502770 569585800 576396065 587487068 587572720 599476600 606644255 606732700 618407440 625801442 638572900 658642334 658738360 693307720 697742605 715201648 734358835 734465900 752734096 757549114 773009300 797303878 797420120 823422950 839267240 849301957 865770416 866634650 893871739 894002060 911204432 922233704 940917620 941054800 970630808 990439600 996775150 1028102369 1049084050 1082055263 1082213020 1116388168 1117502575 1139005540 1139171600 1152792130 1174974136 1176147025 1198953200 1213288510 1213465400 1251602884 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23055842600 23780454796 24265770200 25028408692 25032057680 25702559225 26345693360 26514218990 27051381575 27905635730 27909704200 28786866332 29374353400 29725568495 30297547364 30301964560 31285510865 31290072100 31892155120 32273474366 32932116700 33972078280 35044880752 35754869560 35983582915 36883970704 37871934205 37877455700 39067890022 39865193900 41118099994 41124094760 41615795893 42422750384 42465097850 43282210520 43799715211 43806100940 44649017168 44693586950 46104963380 46111685200 47560909592 48531540400 50056817384 50377016081 51405118450 53020707887 53028437980 54102763150 54757626175 55811271460 55819408400 57573732664 57631204225 58748706800 59451136990 60595094728 62571021730 62580144200 64546948732 65864233400 66285547475 67944156560 69764089325 71509739120 71967165830 75743868410 75754911400 78135780044 79730387800 80683685915 82236199988 82248189520 83231591786 84930195700 86564421040 87599430422 87612201880 89387173900 92209926760 95121819184 97669725055 100113634768 100754032162 102795249985 102810236900 106041415774 106056875960 108205526300 109515252350 111622542920 112957160281 115147465328 115262408450 118902273980 121190189456 125142043460 125160288400 129093897464 131728466800 132571094950 136737615077 139528178650 143913349979 143934331660 148627842475 151487736820 151509822800 156271560088 156427554325 159460775600 161367371830 164472399976 166463183572 169860391400 175198860844 175224403760 178774347800 179917914575 184419853520 189359671025 195339450110 201508064324 205590499970 205620473800 208078979465 212082831548 212113751920 216411052600 218998576055 219030504700 223245085840 225914320562 230524816900 237804547960 250284086920 251885080405 258187794928 265103539435 265142189900 273475230154 279056357300 287826699958 287868663320 297255684950 302975473640 306598006477 312543120176 312855108650 322734743660 328944799952 332926367144 339720782800 350397721688 357548695600 359835829150 371144955209 378719342050 390678900220 403016128648 403418429575 411180999940 411240947600 416157958930 424165663096 432822105200 437997152110 438061009400 451828641124 461049633800 475609095920 488348625275 500568173840 503770160810 513976249925 530207078870 530284379800 546950460308 558112714600 564785801405 575653399916 575737326640 594511369900 605950947280 613196012954 625710217300 645469487320 665852734288 683688075385 700795443376 719566749895 719671658300 742289910418 757438684100 781357800440 790700121967 806032257296 806836859150 822361999880 832315917860 848331326192 875994304220 876122018800 903657282248 922099267600 957163305539 976697250550 1007393449853 1007540321620 1027952499850 1040394897325 1060414157740 1060568759600 1093900920616 1094992880275 1116225429200 1129571602810 1151306799832 1189022739800 1226392025908 1251420434600 1259425402025 1290938974640 1325517697175 1367376150770 1439133499790 1439343316600 1484579820836 1514877368200 1532990032385 1562715600880 1581400243934 1613673718300 1644723999760 1664631835720 1751988608440 1807314564496 1855724776045 1914326611078 1953394501100 2014786899706 2015080643240 2055904999700 2080789794650 2120828315480 2146186045339 2187801841232 2189985760550 2259143205620 2302613599664 2378045479600 2452784051816 2502840869200 2518850804050 2598014686463 2651035394350 2734752301540 2823929007025 2878266999580 2878686633200 2969159641672 3029754736400 3065980064770 3162800487868 3227347436600 3329263671440 3418440376925 3503977216880 3597833749475 3711449552090 3828653222156 3906789002200 3953500609835 4029573799412 4030161286480 4111809999400 4161579589300 4241656630960 4292372090678 4379971521100 4518286411240 4785816527695 4905568103632 5036967249265 5037701608100 5196029372926 5302070788700 5469504603080 5647858014050 5756533999160 5938319283344 6131960129540 6325600975736 6454694873200 6836880753850 7051754148971 7195667498950 7422899104180 7657306444312 7664950161925 7813578004400 7907001219670 8059147598824 8223619998800 8323159178600 8584744181356 8759943042200 9036572822480 9278623880225 9571633055390 10073934498530 10075403216200 10392058745852 10604141577400 10730930226695 10939009206160 11295716028100 11513067998320 12263920259080 12651201951472 12990073432315 13673761507700 14103508297942 14391334997900 14845798208360 15023302317373 15314612888624 15329900323850 15814002439340 16118295197648 16646318357200 17169488362712 17519886084400 18186102805241 18557247760450 19143266110780 19767503049175 20147868997060 20150806432400 20784117491704 21208283154800 21461860453390 22591432056200 23929082638475 24527840518160 25184836246325 25980146864630 27347523015400 28207016595884 28782669995800 29691596416720 30046604634746 30659800647700 31628004878680 34338976725424 35258770744855 36372205610482 37114495520900 38286532221560 39535006098350 40295737994120 41568234983408 42923720906780 45182864112400 47858165276950 49362279042797 50369672492650 51960293729260 53654651133475 54695046030800 56414033191768 57565339991600 60093209269492 61319601295400 63256009757360 64950367161575 70517541489710 72744411220964 74228991041800 75116511586865 76573064443120 79070012196700 80591475988240 85847441813560 90930514026205 95716330553900 98724558085594 100739344985300 103920587458520 107309302266950 112828066383536 120186418538984 122639202590800 129900734323150 141035082979420 145488822441928 148457982083600 150233023173730 158140024393400 171694883627120 176293853724275 181861028052410 191432661107800 197449116171188 201478689970600 207841174917040 214618604533900 240372837077968 246811395213985 259801468646300 282070165958840 290977644883856 300466046347460 316280048786800 345535953299579 352587707448550 363722056104820 375582557934325 382865322215600 394898232342376 402957379941200 429237209067800 454652570131025 493622790427970 519602937292600 564140331917680 600932092694920 691071906599158 705175414897100 727444112209640 751165115868650 789796464684752 858474418135600 909305140262050 987245580855940 1039205874585200 1201864185389840 1234056976069925 1382143813198316 1410350829794200 1454888224419280 1502330231737300 1727679766497895 1818610280524100 1974491161711880 2468113952139850 2764287626396632 2820701659588400 3004660463474600 3455359532995790 3637220561048200 3948982323423760 4936227904279700 5528575252793264 6009320926949200 6910719065991580 7274441122096400 8638398832489475 9872455808559400 13821438131983160 17276797664978950 19744911617118800 27642876263966320 34553595329957900 69107190659915800 138214381319831600
- Sum of all divisors σ(n): 426701559505167360
- Sum of proper divisors (its aliquot sum) s(n): 288487178185335760
- 138214381319831600 is an abundant number, because the sum of its proper divisors (288487178185335760) is greater than itself. Its abundance is 150272796865504160
Bases of 138214381319831600
- Binary: 1111010110000100100111111010111010110101101000000001100002
- Hexadecimal: 0x1EB093F5D6B4030
- Base-36: 11SWWQ8094Q8
Squares and roots of 138214381319831600
- 138214381319831600 squared (1382143813198316002) is 19103215203623814338771452358560000
- 138214381319831600 cubed (1382143813198316003) is 2640339070588466339411550926281576093522018496000000
-
The
square root of 138214381319831600 is 371771948.0001572147 -
The
cube root of 138214381319831600 is 517032.3827933421
Scales and comparisons
How big is 138214381319831600?- 138,214,381,319,831,600 seconds is equal to 4,394,789,800 years, 42 weeks, 4 days, 1 hour, 13 minutes, 20 seconds.
-
To count from 1 to 138,214,381,319,831,600 would take you about thirteen billion, one hundred eighty-four million, three hundred sixty-nine thousand, four hundred 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 138214381319831600 cubic inches would be around 43086 feet tall.
Recreational maths with 138214381319831600
- 138214381319831600 backwards is 006138913183412831
- The number of decimal digits it has is: 18
- The sum of 138214381319831600's digits is 62
- More coming soon!
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"Number 138214381319831600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138214381319831600 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138214381319831600/
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The information we have on file for 138214381319831600 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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