138133939774701312
138,133,939,774,701,312 is an even composite number composed of five prime numbers multiplied together.
138133939774701312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138133939774701312:
28 × 36 × 132 × 37 × 4913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 37 × 491 × 491 × 491)See below for interesting mathematical facts about the number 138133939774701312 from the Numbermatics database.
Names of 138133939774701312
- Cardinal: 138133939774701312 can be written as One hundred thirty-eight quadrillion, one hundred thirty-three trillion, nine hundred thirty-nine billion, seven hundred seventy-four million, seven hundred one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38133939774701312 × 1017
Factors of 138133939774701312
Divisors of 138133939774701312
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 81 96 104 108 111 117 128 144 148 156 162 169 192 208 216 222 234 243 256 288 296 312 324 333 338 351 384 416 432 444 468 481 486 491 507 576 592 624 648 666 676 702 729 768 832 864 888 936 962 972 982 999 1014 1053 1152 1184 1248 1296 1332 1352 1404 1443 1458 1473 1521 1664 1728 1776 1872 1924 1944 1964 1998 2028 2106 2304 2368 2496 2592 2664 2704 2808 2886 2916 2946 2997 3042 3159 3328 3456 3552 3744 3848 3888 3928 3996 4056 4212 4329 4419 4563 4736 4992 5184 5328 5408 5616 5772 5832 5892 5994 6084 6253 6318 6383 6912 7104 7488 7696 7776 7856 7992 8112 8424 8658 8838 8991 9126 9472 9477 9984 10368 10656 10816 11232 11544 11664 11784 11988 12168 12506 12636 12766 12987 13257 13689 14208 14976 15392 15552 15712 15984 16224 16848 17316 17676 17982 18167 18252 18759 18954 19149 20736 21312 21632 22464 23088 23328 23568 23976 24336 25012 25272 25532 25974 26514 26973 27378 28416 29952 30784 31104 31424 31968 32448 33696 34632 35352 35964 36334 36504 37518 37908 38298 38961 39771 41067 42624 43264 44928 46176 46656 47136 47952 48672 50024 50544 51064 51948 53028 53946 54501 54756 56277 57447 61568 62208 62848 63936 64896 67392 69264 70704 71928 72668 73008 75036 75816 76596 77922 79542 82134 82979 85248 89856 92352 93312 94272 95904 97344 100048 101088 102128 103896 106056 107892 109002 109512 112554 114894 116883 119313 123136 123201 125696 127872 129792 134784 138528 141408 143856 145336 146016 150072 151632 153192 155844 159084 163503 164268 165958 168831 172341 184704 186624 188544 191808 194688 200096 202176 204256 207792 212112 215784 218004 219024 225108 229788 233766 236171 238626 241081 246402 248937 255744 269568 277056 282816 287712 290672 292032 300144 303264 306384 311688 318168 327006 328536 331916 337662 344682 350649 357939 369408 377088 383616 389376 400192 404352 408512 415584 424224 431568 436008 438048 450216 459576 467532 472342 477252 482162 490509 492804 497874 506493 517023 554112 565632 575424 581344 584064 600288 606528 612768 623376 636336 654012 657072 663832 675324 689364 701298 708513 715878 723243 746811 767232 800384 808704 817024 831168 848448 863136 872016 876096 900432 919152 935064 944684 954504 964324 981018 985608 995748 1012986 1034046 1108224 1131264 1150848 1162688 1168128 1200576 1213056 1225536 1246752 1272672 1308024 1314144 1327664 1350648 1378728 1402596 1417026 1431756 1446486 1471527 1493622 1519479 1551069 1600768 1634048 1662336 1696896 1726272 1744032 1752192 1800864 1838304 1870128 1889368 1909008 1928648 1962036 1971216 1991496 2025972 2068092 2125539 2169729 2240433 2301696 2325376 2401152 2426112 2451072 2493504 2545344 2616048 2628288 2655328 2701296 2757456 2805192 2834052 2863512 2892972 2943054 2987244 3038958 3070223 3102138 3134053 3324672 3393792 3452544 3488064 3504384 3601728 3676608 3740256 3778736 3818016 3857296 3924072 3942432 3982992 4051944 4136184 4251078 4339458 4414581 4480866 4558437 4650752 4653207 4802304 4902144 4987008 5090688 5232096 5256576 5310656 5402592 5514912 5610384 5668104 5727024 5785944 5886108 5974488 6077916 6140446 6204276 6268106 6376617 6509187 6721299 6905088 6976128 7203456 7353216 7480512 7557472 7636032 7714592 7848144 7884864 7965984 8103888 8272368 8502156 8678916 8829162 8919997 8961732 9116874 9210669 9306414 9402159 9974016 10181376 10464192 10513152 10621312 10805184 11029824 11220768 11336208 11454048 11571888 11772216 11948976 12155832 12280892 12408552 12536212 12753234 13018374 13243743 13442598 13952256 14406912 14706432 14961024 15114944 15272064 15429184 15696288 15769728 15931968 16207776 16544736 17004312 17357832 17658324 17839994 17923464 18233748 18421338 18612828 18804318 19129851 19527561 20163897 20928384 21242624 21610368 22059648 22441536 22672416 22908096 23143776 23544432 23897952 24311664 24561784 24817104 25072424 25506468 26036748 26487486 26759991 26885196 27632007 28206477 29922048 30229888 30544128 30858368 31392576 31539456 31863936 32415552 33089472 34008624 34715664 35316648 35679988 35846928 36467496 36842676 37225656 37608636 38259702 39055122 40327794 40742689 41856768 43220736 44119296 44883072 45344832 45816192 46287552 47088864 47795904 48623328 49123568 49634208 50144848 51012936 52073496 52974972 53519982 53770392 55264014 56412954 57389553 58582683 60459776 60491691 61716736 62785152 63727872 64831104 66178944 68017248 69431328 70633296 71359976 71693856 72934992 73685352 74451312 75217272 76519404 78110244 80279973 80655588 81485378 82896021 84619431 89766144 90689664 91632384 92575104 94177728 95591808 97246656 98247136 99268416 100289696 102025872 104146992 105949944 107039964 107540784 110528028 112825908 114779106 115959961 117165366 118370771 120983382 122228067 125570304 129662208 132357888 136034496 138862656 141266592 142719952 143387712 145869984 147370704 148902624 150434544 153038808 156220488 160559946 161311176 162970756 165792042 169238862 172168659 175748049 181379328 185150208 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4261347756 4335118542 4379718527 4400210412 4476385134 4522438479 4569449274 4616460069 4897241856 4999055616 5137918272 5161957632 5215064192 5305345344 5415643584 5509397088 5566078128 5623937568 5681797008 5780158056 5866947216 5968513512 6029917972 6092599032 6155280092 6261837894 6392021634 6502677813 6600315618 6850557696 7073793792 7220858112 7345862784 7421437504 7498583424 7575729344 7706877408 7742936448 7822596288 7958018016 8123465376 8349117192 8522695512 8670237084 8759437054 8800420824 8952770268 9044876958 9138898548 9232920138 9392756841 9588032451 9900473427 10275836544 10430128384 10610690688 10831287168 11018794176 11132156256 11247875136 11363594016 11560316112 11733894432 11937027024 12059835944 12185198064 12310560184 12523675788 12784043268 13005355626 13139155581 13200631236 13567315437 13849380207 14691725568 14842875008 14997166848 15151458688 15413754816 15485872896 15645192576 15916036032 16246930752 16698234384 17045391024 17340474168 17518874108 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70403366592 71622162144 72359015664 73111188384 73863361104 75142054728 76704259608 78834933486 79203787416 80018641196 81403892622 83096281242 84534811569 86292292059 89057250048 90908752128 92482528896 93871155456 95496216192 96478687552 97481584512 98484481472 100189406304 102272346144 104042845008 105113244648 105605049888 108538523496 110795041656 112713082092 113872681702 115056389412 118252400229 118805681124 120027961794 122105838933 124644421863 133585875072 136363128192 138723793344 140150992864 140806733184 143244324288 144718031328 146222376768 147726722208 150284109456 153408519216 157669866972 158407574832 160037282392 162807785244 166192562484 169069623138 170809022553 172584584118 180041942691 184965057792 190992432384 192957375104 194963169024 196968962944 200378812608 204544692288 208085690016 210226489296 211210099776 217077046992 221590083312 225426164184 227745363404 230112778824 236504800458 237611362248 240055923588 244211677866 249288843726 267171750144 272726256384 277447586688 280301985728 281613466368 286488648576 289436062656 292444753536 295453444416 300568218912 306817038432 315339733944 316815149664 320074564784 325615570488 332385124968 338139246276 341618045106 345169168236 354757200687 360083885382 366317516799 373933265589 385914750208 393937925888 400757625216 409089384576 416171380032 420452978592 422420199552 434154093984 443180166624 450852328368 455490726808 460225557648 473009600916 475222724496 480111847176 488423355732 498577687452 512427067659 540125828073 554895173376 560603971456 572977297152 578872125312 584889507072 590906888832 601136437824 613634076864 630679467888 633630299328 640149129568 651231140976 664770249936 676278492552 683236090212 690338336472 709514401374 720167770764 732635033598 740172431063 747866531178 801515250432 818178769152 832342760064 840905957184 844840399104 868308187968 886360333248 901704656736 910981453616 920451115296 946019201832 950445448992 960223694352 976846711464 997155374904 1024854135318 1064271602061 1080251656146 1098952550397 1121207942912 1121799796767 1157744250624 1181813777664 1202272875648 1227268153728 1261358935776 1267260598656 1280298259136 1302462281952 1329540499872 1352556985104 1366472180424 1380676672944 1419028802748 1440335541528 1465270067196 1480344862126 1495733062356 1537281202977 1620377484219 1664685520128 1681811914368 1736616375936 1772720666496 1803409313472 1821962907232 1840902230592 1892038403664 1900890897984 1920447388704 1953693422928 1994310749808 2049708270636 2128543204122 2160503312292 2197905100794 2220517293189 2243599593534 2404545751296 2454536307456 2522717871552 2534521197312 2560596518272 2604924563904 2659080999744 2705113970208 2732944360848 2761353345888 2838057605496 2880671083056 2930540134392 2960689724252 2991466124712 3074562405954 3192814806183 3240754968438 3363623828736 3473232751872 3545441332992 3606818626944 3643925814464 3681804461184 3784076807328 3801781795968 3840894777408 3907386845856 3988621499616 4099416541272 4257086408244 4321006624584 4395810201588 4441034586378 4487199187068 4611843608931 4861132452657 5045435743104 5121193036544 5209849127808 5318161999488 5410227940416 5465888721696 5522706691776 5676115210992 5761342166112 5861080268784 5921379448504 5982932249424 6149124811908 6385629612366 6481509936876 6661551879567 7213637253888 7287851628928 7363608922368 7568153614656 7603563591936 7681789554816 7814773691712 7977242999232 8198833082544 8514172816488 8642013249168 8791620403176 8882069172756 8974398374136 9223687217862 9722264905314 10090871486208 10419698255616 10636323998976 10820455880832 10931777443392 11045413383552 11352230421984 11522684332224 11722160537568 11842758897008 11965864498848 12298249623816 12771259224732 12963019873752 13323103759134 13835530826793 14575703257856 14583397357971 15136307229312 15363579109632 15629547383424 15954485998464 16397666165088 17028345632976 17284026498336 17583240806352 17764138345512 17948796748272 18447374435724 19444529810628 19984655638701 21640911761664 21863554886784 22090826767104 22704460843968 23045368664448 23444321075136 23685517794016 23931728997696 24596499247632 25542518449464 25926039747504 26646207518268 27671061653586 29166794715942 30272614458624 31259094766848 31908971996928 32795332330176 34056691265952 34568052996672 35166481612704 35528276691024 35897593496544 36894748871448 38889059621256 39969311277402 41506592480379 43727109773568 45408921687936 46090737328896 46888642150272 47371035588032 47863457995392 49192998495264 51085036898928 51852079495008 53292415036536 55342123307172 58333589431884 59953966916103 65590664660352 68113382531904 69136105993344 70332963225408 71056553382048 71795186993088 73789497742896 77778119242512 79938622554804 83013184960758 90817843375872 93777284300544 94742071176064 95726915990784 98385996990528 102170073797856 103704158990016 106584830073072 110684246614344 116667178863768 119907933832206 131181329320704 136226765063808 138272211986688 140665926450816 142113106764096 143590373986176 147578995485792 155556238485024 159877245109608 166026369921516 179861900748309 189484142352128 196771993981056 204340147595712 207408317980032 213169660146144 221368493228688 233334357727536 239815867664412 272453530127616 281331852901632 284226213528192 287180747972352 295157990971584 311112476970048 319754490219216 332052739843032 359723801496618 393543987962112 408680295191424 414816635960064 426339320292288 442736986457376 466668715455072 479631735328824 539585702244927 568452427056384 590315981943168 622224953940096 639508980438432 664105479686064 719447602993236 817360590382848 852678640584576 885473972914752 933337430910144 959263470657648 1079171404489854 1180631963886336 1244449907880192 1279017960876864 1328210959372128 1438895205986472 1705357281169152 1770947945829504 1866674861820288 1918526941315296 2158342808979708 2558035921753728 2656421918744256 2877790411972944 3541895891659008 3733349723640576 3837053882630592 4316685617959416 5116071843507456 5312843837488512 5755580823945888 7674107765261184 8633371235918832 10625687674977024 11511161647891776 15348215530522368 17266742471837664 23022323295783552 34533484943675328 46044646591567104 69066969887350656 138133939774701312
- Sum of all divisors σ(n): 460686660233820048
- Sum of proper divisors (its aliquot sum) s(n): 322552720459118736
- 138133939774701312 is an abundant number, because the sum of its proper divisors (322552720459118736) is greater than itself. Its abundance is 184418780684417424
Bases of 138133939774701312
- Binary: 1111010101100000000010110000110111011001000111111000000002
- Hexadecimal: 0x1EAC0161BB23F00
- Base-36: 11S4E7VX8000
Squares and roots of 138133939774701312
- 138133939774701312 squared (1381339397747013122) is 19080985317680809150218058814521344
- 138133939774701312 cubed (1381339397747013123) is 2635731676714480872486922818879038895996865848803328
-
The
square root of 138133939774701312 is 371663745.5748156667 -
The
cube root of 138133939774701312 is 516932.0580787543
Scales and comparisons
How big is 138133939774701312?- 138,133,939,774,701,312 seconds is equal to 4,392,232,008 years, 26 weeks, 2 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,133,939,774,701,312 would take you about thirteen billion, one hundred seventy-six million, six hundred ninety-six thousand and twenty-five 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 138133939774701312 cubic inches would be around 43077.7 feet tall.
Recreational maths with 138133939774701312
- 138133939774701312 backwards is 213107477939331831
- 138133939774701312 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138133939774701312's digits is 72
- More coming soon!
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"Number 138133939774701312 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138133939774701312 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138133939774701312/
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The information we have on file for 138133939774701312 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 138133939774701312, math, Factors of 138133939774701312, curriculum, school, college, exams, university, Prime factorization of 138133939774701312, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred thirty-three trillion, nine hundred thirty-nine billion, seven hundred seventy-four million, seven hundred one thousand, three hundred twelve.