138451083710607360
138,451,083,710,607,360 is an even composite number composed of six prime numbers multiplied together.
What does the number 138451083710607360 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1560 divisors.
138451083710607360 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty divisors.
Prime factorization of 138451083710607360:
212 × 34 × 5 × 72 × 11 × 154843373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 154843373)See below for interesting mathematical facts about the number 138451083710607360 from the Numbermatics database.
Names of 138451083710607360
- Cardinal: 138451083710607360 can be written as One hundred thirty-eight quadrillion, four hundred fifty-one trillion, eighty-three billion, seven hundred ten million, six hundred seven thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3845108371060736 × 1017
Factors of 138451083710607360
Divisors of 138451083710607360
- Number of divisors d(n): 1560
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 49 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 98 99 105 108 110 112 120 126 128 132 135 140 144 147 154 160 162 165 168 176 180 189 192 196 198 210 216 220 224 231 240 245 252 256 264 270 280 288 294 297 308 315 320 324 330 336 352 360 378 384 385 392 396 405 420 432 440 441 448 462 480 490 495 504 512 528 539 540 560 567 576 588 594 616 630 640 648 660 672 693 704 720 735 756 768 770 784 792 810 840 864 880 882 891 896 924 945 960 980 990 1008 1024 1056 1078 1080 1120 1134 1152 1155 1176 1188 1232 1260 1280 1296 1320 1323 1344 1386 1408 1440 1470 1485 1512 1536 1540 1568 1584 1617 1620 1680 1728 1760 1764 1782 1792 1848 1890 1920 1960 1980 2016 2048 2079 2112 2156 2160 2205 2240 2268 2304 2310 2352 2376 2464 2520 2560 2592 2640 2646 2688 2695 2772 2816 2835 2880 2940 2970 3024 3072 3080 3136 3168 3234 3240 3360 3456 3465 3520 3528 3564 3584 3696 3780 3840 3920 3960 3969 4032 4096 4158 4224 4312 4320 4410 4455 4480 4536 4608 4620 4704 4752 4851 4928 5040 5120 5184 5280 5292 5376 5390 5544 5632 5670 5760 5880 5940 6048 6144 6160 6237 6272 6336 6468 6480 6615 6720 6912 6930 7040 7056 7128 7168 7392 7560 7680 7840 7920 7938 8064 8085 8316 8448 8624 8640 8820 8910 8960 9072 9216 9240 9408 9504 9702 9856 10080 10240 10368 10395 10560 10584 10752 10780 11088 11264 11340 11520 11760 11880 12096 12288 12320 12474 12544 12672 12936 12960 13230 13440 13824 13860 14080 14112 14256 14336 14553 14784 15120 15360 15680 15840 15876 16128 16170 16632 16896 17248 17280 17640 17820 17920 18144 18432 18480 18816 19008 19404 19712 19845 20160 20480 20736 20790 21120 21168 21504 21560 22176 22528 22680 23040 23520 23760 24192 24255 24640 24948 25088 25344 25872 25920 26460 26880 27648 27720 28160 28224 28512 28672 29106 29568 30240 30720 31185 31360 31680 31752 32256 32340 33264 33792 34496 34560 35280 35640 35840 36288 36864 36960 37632 38016 38808 39424 39690 40320 41472 41580 42240 42336 43008 43120 43659 44352 45056 45360 46080 47040 47520 48384 48510 49280 49896 50176 50688 51744 51840 52920 53760 55296 55440 56320 56448 57024 58212 59136 60480 61440 62370 62720 63360 63504 64512 64680 66528 67584 68992 69120 70560 71280 71680 72576 72765 73920 75264 76032 77616 78848 79380 80640 82944 83160 84480 84672 86016 86240 87318 88704 90720 92160 94080 95040 96768 97020 98560 99792 100352 101376 103488 103680 105840 107520 110592 110880 112640 112896 114048 116424 118272 120960 124740 125440 126720 127008 129024 129360 133056 135168 137984 138240 141120 142560 143360 145152 145530 147840 150528 152064 155232 157696 158760 161280 165888 166320 168960 169344 172480 174636 177408 181440 184320 188160 190080 193536 194040 197120 199584 200704 202752 206976 207360 211680 215040 218295 221760 225280 225792 228096 232848 236544 241920 249480 250880 253440 254016 258048 258720 266112 275968 276480 282240 285120 290304 291060 295680 301056 304128 310464 315392 317520 322560 331776 332640 337920 338688 344960 349272 354816 362880 376320 380160 387072 388080 394240 399168 405504 413952 414720 423360 430080 436590 443520 451584 456192 465696 473088 483840 498960 501760 506880 508032 517440 532224 551936 552960 564480 570240 580608 582120 591360 602112 608256 620928 635040 645120 665280 675840 677376 689920 698544 709632 725760 752640 760320 774144 776160 788480 798336 827904 829440 846720 873180 887040 903168 912384 931392 946176 967680 997920 1003520 1013760 1016064 1034880 1064448 1103872 1128960 1140480 1161216 1164240 1182720 1216512 1241856 1270080 1290240 1330560 1354752 1379840 1397088 1419264 1451520 1505280 1520640 1552320 1576960 1596672 1655808 1658880 1693440 1746360 1774080 1806336 1824768 1862784 1935360 1995840 2027520 2032128 2069760 2128896 2207744 2257920 2280960 2322432 2328480 2365440 2483712 2540160 2661120 2709504 2759680 2794176 2838528 2903040 3010560 3041280 3104640 3193344 3311616 3386880 3492720 3548160 3649536 3725568 3870720 3991680 4064256 4139520 4257792 4515840 4561920 4656960 4730880 4967424 5080320 5322240 5419008 5519360 5588352 5806080 6082560 6209280 6386688 6623232 6773760 6985440 7096320 7451136 7983360 8128512 8279040 8515584 9031680 9123840 9313920 9934848 10160640 10644480 11038720 11176704 11612160 12418560 12773376 13547520 13970880 14192640 14902272 15966720 16257024 16558080 18247680 18627840 19869696 20321280 21288960 22353408 24837120 25546752 27095040 27941760 29804544 31933440 33116160 37255680 40642560 42577920 44706816 49674240 55883520 59609088 63866880 74511360 81285120 89413632 99348480 111767040 127733760 149022720 154843373 178827264 223534080 298045440 309686746 447068160 464530119 619373492 774216865 894136320 929060238 1083903611 1238746984 1393590357 1548433730 1703277103 1858120476 2167807222 2322650595 2477493968 2787180714 3096867460 3251710833 3406554206 3716240952 4180771071 4335614444 4645301190 4954987936 5109831309 5419518055 5574361428 6193734920 6503421666 6813108412 6967951785 7432481904 7587325277 8361542142 8516385515 8671228888 9290602380 9755132499 9909975872 10219662618 10839036110 11148722856 11922939721 12387469840 12542313213 13006843332 13626216824 13935903570 14864963808 15174650554 15329493927 16258554165 16723084284 17032771030 17342457776 18581204760 19510264998 19819951744 20439325236 20903855355 21678072220 22297445712 22761975831 23845879442 24774939680 25084626426 25549156545 26013686664 27252433648 27871807140 29265397497 29729927616 30349301108 30658987854 32517108330 33446168568 34065542060 34684915552 35768819163 37162409520 37936626385 39020529996 39639903488 40878650472 41807710710 43356144440 44594891424 45523951662 45988481781 47691758884 48775662495 49549879360 50169252852 51098313090 52027373328 54504867296 55743614280 58530794994 59459855232 59614698605 60698602216 61317975708 62711566065 65034216660 66892337136 68131084120 68285927493 69369831104 71537638326 74324819040 75873252770 76647469635 78041059992 79279806976 81757300944 83460578047 83615421420 86712288880 87796192491 89189782848 91047903324 91976963562 95383517768 97551324990 99099758720 100338505704 102196626180 104054746656 107306457489 109009734592 111487228560 113809879155 117061589988 118919710464 119229397210 121397204432 122635951416 125423132130 130068433320 133784674272 136262168240 136571854986 137965445343 138739662208 143075276652 146326987485 148649638080 151746505540 153294939270 156082119984 158559613952 163514601888 166921156094 167230842840 173424577760 175592384982 178379565696 178844095815 182095806648 183953927124 190767035536 195102649980 198199517440 200677011408 204393252360 204857782479 208109493312 214612914978 218019469184 222974457120 227619758310 229942408905 234123179976 237839420928 238458794420 242794408864 245271902832 250381734141 250846264260 260136866640 267569348544 272524336480 273143709972 275930890686 277479324416 286150553304 292653974970 297299276160 303493011080 306589878540 312164239968 317119227904 321919372467 327029203776 333842312188 334461685680 341429637465 346849155520 351184769964 356759131392 357688191630 364191613296 367907854248 381534071072 390205299960 396399034880 401354022816 408786504720 409715564958 416218986624 417302890235 429225829956 436038938368 438980962455 445948914240 455239516620 459884817810 468246359952 475678841856 476917588840 485588817728 490543805664 500763468282 501692528520 520273733280 535138697088 536532287445 545048672960 546287419944 551861781372 554958648832 572301106608 585307949940 594598552320 606986022160 613179757080 614573347437 624328479936 634238455808 643838744934 654058407552 667684624376 668923371360 682859274930 689827226715 693698311040 702369539928 713518262784 715376383260 728383226592 735815708496 751145202423 763068142144 780410599920 792798069760 802708045632 817573009440 819431129916 832437973248 834605780470 858451659912 872077876736 877961924910 891897828480 910479033240 919769635620 936492719904 951357683712 953835177680 965758117401 971177635456 981087611328 1001526936564 1003385057040 1024288912395 1040547466560 1070277394176 1073064574890 1090097345920 1092574839888 1103723562744 1109917297664 1144602213216 1170615899880 1189197104640 1213972044320 1226359514160 1229146694874 1248656959872 1251908670705 1287677489868 1308116815104 1335369248752 1337846742720 1365718549860 1379654453430 1387396622080 1404739079856 1427036525568 1430752766520 1456766453184 1471631416992 1502290404846 1526136284288 1560821199840 1585596139520 1605416091264 1609596862335 1635146018880 1638862259832 1664875946496 1669211560940 1716903319824 1744155753472 1755923849820 1783795656960 1820958066480 1839539271240 1872985439808 1902715367424 1907670355360 1931516234802 1942355270912 1962175222656 2003053873128 2006770114080 2048577824790 2081094933120 2140554788352 2146129149780 2180194691840 2185149679776 2207447125488 2219834595328 2253435607269 2289204426432 2341231799760 2378394209280 2427944088640 2452719028320 2458293389748 2497313919744 2503817341410 2575354979736 2616233630208 2670738497504 2675693485440 2731437099720 2759308906860 2774793244160 2809478159712 2854073051136 2861505533040 2913532906368 2943262833984 3004580809692 3052272568576 3072866737185 3121642399680 3171192279040 3210832182528 3219193724670 3270292037760 3277724519664 3329751892992 3338423121880 3433806639648 3488311506944 3511847699640 3567591313920 3641916132960 3679078542480 3745970879616 3755726012115 3815340710720 3863032469604 3884710541824 3924350445312 4006107746256 4013540228160 4097155649580 4162189866240 4281109576704 4292258299560 4360389383680 4370299359552 4414894250976 4439669190656 4506871214538 4578408852864 4682463599520 4756788418560 4828790587005 4855888177280 4905438056640 4916586779496 4994627839488 5007634682820 5150709959472 5232467260416 5341476995008 5351386970880 5462874199440 5518617813720 5549586488320 5618956319424 5708146102272 5723011066080 5827065812736 5886525667968 6009161619384 6104545137152 6145733474370 6243284799360 6421664365056 6438387449340 6540584075520 6555449039328 6659503785984 6676846243760 6760306821807 6867613279296 6976623013888 7023695399280 7135182627840 7283832265920 7358157084960 7491941759232 7511452024230 7630681421440 7726064939208 7769421083648 7848700890624 8012215492512 8027080456320 8194311299160 8324379732480 8562219153408 8584516599120 8720778767360 8740598719104 8829788501952 9013742429076 9156817705728 9364927199040 9513576837120 9657581174010 9711776354560 9810876113280 9833173558992 9989255678976 10015269365640 10301419918944 10464934520832 10682953990016 10702773941760 10925748398880 11037235627440 11099172976640 11237912638848 11267178036345 11446022132160 11654131625472 11773051335936 12018323238768 12209090274304 12291466948740 12486569598720 12843328730112 12876774898680 13081168151040 13110898078656 13319007571968 13353692487520 13520613643614 13735226558592 14047390798560 14270365255680 14567664531840 14716314169920 14983883518464 15022904048460 15261362842880 15452129878416 15538842167296 15697401781248 16024430985024 16054160912640 16388622598320 16648759464960 17124438306816 17169033198240 17441557534720 17481197438208 17659577003904 18027484858152 18313635411456 18729854398080 19315162348020 19423552709120 19621752226560 19666347117984 19978511357952 20030538731280 20602839837888 20929869041664 21365907980032 21405547883520 21851496797760 22074471254880 22198345953280 22475825277696 22534356072690 22892044264320 23308263250944 23546102671872 24036646477536 24418180548608 24582933897480 24973139197440 25686657460224 25753549797360 26162336302080 26221796157312 26707384975040 27041227287228 27470453117184 28094781597120 28540730511360 29135329063680 29432628339840 29967767036928 30045808096920 30522725685760 30904259756832 31077684334592 31394803562496 32048861970048 32108321825280 32777245196640 33297518929920 33801534109035 34338066396480 34883115069440 34962394876416 35319154007808 36054969716304 36627270822912 37459708796160 38630324696040 38847105418240 39243504453120 39332694235968 39957022715904 40061077462560 41205679675776 42731815960064 42811095767040 43702993595520 44148942509760 44951650555392 45068712145380 45784088528640 46616526501888 47092205343744 48073292955072 48836361097216 49165867794960 49946278394880 51373314920448 51507099594720 52324672604160 52443592314624 53414769950080 54082454574456 54940906234368 56189563194240 58270658127360 58865256679680 59935534073856 60091616193840 61045451371520 61808519513664 62789607124992 64097723940096 64216643650560 65554490393280 66595037859840 67603068218070 68676132792960 69924789752832 70638308015616 72109939432608 73254541645824 74919417592320 77260649392080 77694210836480 78487008906240 78665388471936 80122154925120 82411359351552 85463631920128 85622191534080 87405987191040 88297885019520 89903301110784 90137424290760 91568177057280 93233053003776 94184410687488 96146585910144 98331735589920 99892556789760 103014199189440 104649345208320 104887184629248 106829539900160 108164909148912 109881812468736 112379126388480 116541316254720 117730513359360 119871068147712 120183232387680 122090902743040 123617039027328 128195447880192 128433287301120 131108980786560 135206136436140 137352265585920 139849579505664 141276616031232 144219878865216 146509083291648 149838835184640 154521298784160 155388421672960 156974017812480 157330776943872 160244309850240 164822718703104 170927263840256 174811974382080 176595770039040 179806602221568 180274848581520 183136354114560 188368821374976 192293171820288 196663471179840 199785113579520 206028398378880 209774369258496 213659079800320 216329818297824 219763624937472 224758252776960 233082632509440 235461026718720 240366464775360 244181805486080 247234078054656 256390895760384 256866574602240 262217961573120 270412272872280 274704531171840 279699159011328 282553232062464 288439757730432 299677670369280 309042597568320 313948035624960 314661553887744 320488619700480 329645437406208 341854527680512 349623948764160 353191540078080 359613204443136 360549697163040 366272708229120 384586343640576 393326942359680 412056796757760 419548738516992 427318159600640 432659636595648 439527249874944 449516505553920 466165265018880 470922053437440 480732929550720 494468156109312 512781791520768 524435923146240 540824545744560 549409062343680 565106464124928 576879515460864 599355340738560 618085195136640 629323107775488 640977239400960 659290874812416 699247897528320 706383080156160 721099394326080 732545416458240 769172687281152 786653884719360 824113593515520 839097477033984 854636319201280 865319273191296 899033011107840 941844106874880 961465859101440 988936312218624 1025563583041536 1048871846292480 1081649091489120 1098818124687360 1153759030921728 1236170390273280 1258646215550976 1281954478801920 1318581749624832 1398495795056640 1412766160312320 1442198788652160 1538345374562304 1573307769438720 1648227187031040 1709272638402560 1730638546382592 1798066022215680 1922931718202880 1977872624437248 2097743692584960 2163298182978240 2197636249374720 2307518061843456 2472340780546560 2517292431101952 2563908957603840 2825532320624640 2884397577304320 3076690749124608 3146615538877440 3296454374062080 3461277092765184 3845863436405760 3955745248874496 4195487385169920 4326596365956480 4615036123686912 4944681561093120 5127817915207680 5768795154608640 6293231077754880 6592908748124160 6922554185530368 7691726872811520 8653192731912960 9230072247373824 9889363122186240 11537590309217280 12586462155509760 13845108371060736 15383453745623040 17306385463825920 19778726244372480 23075180618434560 27690216742121472 34612770927651840 46150361236869120 69225541855303680 138451083710607360
- Sum of all divisors σ(n): 629828450003901456
- Sum of proper divisors (its aliquot sum) s(n): 491377366293294096
- 138451083710607360 is an abundant number, because the sum of its proper divisors (491377366293294096) is greater than itself. Its abundance is 352926282582686736
Bases of 138451083710607360
- Binary: 1111010111110000010000110111011110101011010110000000000002
- Hexadecimal: 0x1EBE086EF56B000
- Base-36: 11V8T9SS8W00
Squares and roots of 138451083710607360
- 138451083710607360 squared (1384510837106073602) is 19168702580641606664504580086169600
- 138451083710607360 cubed (1384510837106073603) is 2653927645616146413015595989412419804618351968256000
-
The
square root of 138451083710607360 is 372090155.3529834521 -
The
cube root of 138451083710607360 is 517327.3665789907
Scales and comparisons
How big is 138451083710607360?- 138,451,083,710,607,360 seconds is equal to 4,402,316,204 years, 35 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 138,451,083,710,607,360 would take you about thirteen billion, two hundred six million, nine hundred forty-eight thousand, six hundred fourteen 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 138451083710607360 cubic inches would be around 43110.6 feet tall.
Recreational maths with 138451083710607360
- 138451083710607360 backwards is 063706017380154831
- 138451083710607360 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138451083710607360's digits is 63
- More coming soon!
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"Number 138451083710607360 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138451083710607360 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138451083710607360/
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The information we have on file for 138451083710607360 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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