138627543859840000
138,627,543,859,840,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138627543859840000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1485 divisors.
138627543859840000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eighty-five divisors.
Prime factorization of 138627543859840000:
210 × 54 × 72 × 172 × 39112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 3911 × 3911)See below for interesting mathematical facts about the number 138627543859840000 from the Numbermatics database.
Names of 138627543859840000
- Cardinal: 138627543859840000 can be written as One hundred thirty-eight quadrillion, six hundred twenty-seven trillion, five hundred forty-three billion, eight hundred fifty-nine million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.3862754385984 × 1017
Factors of 138627543859840000
Divisors of 138627543859840000
- Number of divisors d(n): 1485
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 125 128 136 140 160 170 175 196 200 224 238 245 250 256 272 280 289 320 340 350 392 400 425 448 476 490 500 512 544 560 578 595 625 640 680 700 784 800 833 850 875 896 952 980 1000 1024 1088 1120 1156 1190 1225 1250 1280 1360 1400 1445 1568 1600 1666 1700 1750 1792 1904 1960 2000 2023 2125 2176 2240 2312 2380 2450 2500 2560 2720 2800 2890 2975 3136 3200 3332 3400 3500 3584 3808 3911 3920 4000 4046 4165 4250 4352 4375 4480 4624 4760 4900 5000 5120 5440 5600 5780 5950 6125 6272 6400 6664 6800 7000 7168 7225 7616 7822 7840 8000 8092 8330 8500 8704 8750 8960 9248 9520 9800 10000 10115 10625 10880 11200 11560 11900 12250 12544 12800 13328 13600 14000 14161 14450 14875 15232 15644 15680 16000 16184 16660 17000 17408 17500 17920 18496 19040 19555 19600 20000 20230 20825 21250 21760 22400 23120 23800 24500 25088 25600 26656 27200 27377 28000 28322 28900 29750 30464 30625 31288 31360 32000 32368 33320 34000 35000 35840 36125 36992 38080 39110 39200 40000 40460 41650 42500 43520 44800 46240 47600 49000 50176 50575 53312 54400 54754 56000 56644 57800 59500 60928 61250 62576 62720 64000 64736 66487 66640 68000 70000 70805 72250 73984 74375 76160 78220 78400 80000 80920 83300 85000 87040 89600 92480 95200 97775 98000 101150 104125 106624 108800 109508 112000 113288 115600 119000 121856 122500 125152 125440 128000 129472 132974 133280 136000 136885 140000 141610 144500 147968 148750 152320 156440 156800 160000 161840 166600 170000 179200 180625 184960 190400 191639 195550 196000 202300 208250 213248 217600 219016 224000 226576 231200 238000 245000 250304 250880 252875 258944 265948 266560 272000 273770 280000 283220 289000 295936 297500 304640 312880 313600 320000 323680 332435 333200 340000 354025 361250 369920 380800 383278 391100 392000 404600 416500 426496 435200 438032 448000 453152 462400 465409 476000 488875 490000 500608 505750 517888 520625 531896 533120 544000 547540 560000 566440 578000 595000 609280 625760 627200 640000 647360 664870 666400 680000 684425 708050 722500 739840 761600 766556 782200 784000 809200 833000 852992 876064 896000 906304 924800 930818 952000 958195 977750 980000 1001216 1011500 1035776 1041250 1063792 1066240 1088000 1095080 1120000 1130279 1132880 1156000 1190000 1251520 1254400 1264375 1294720 1329740 1332800 1360000 1368850 1416100 1445000 1479680 1523200 1533112 1564400 1568000 1618400 1662175 1666000 1752128 1770125 1812608 1849600 1861636 1904000 1916390 1955500 1960000 2002432 2023000 2071552 2082500 2127584 2132480 2176000 2190160 2240000 2260558 2265760 2312000 2327045 2380000 2444375 2503040 2528750 2589440 2659480 2665600 2720000 2737700 2832200 2890000 3046400 3066224 3128800 3136000 3236800 3257863 3324350 3332000 3422125 3504256 3540250 3625216 3699200 3723272 3808000 3832780 3911000 3920000 4004864 4046000 4165000 4255168 4264960 4380320 4480000 4521116 4531520 4624000 4654090 4760000 4790975 4888750 5006080 5057500 5178880 5318960 5331200 5440000 5475400 5651395 5664400 5780000 6132448 6257600 6272000 6473600 6515726 6648700 6664000 6844250 7008512 7080500 7250432 7398400 7446544 7616000 7665560 7822000 7840000 7911953 8092000 8310875 8330000 8510336 8760640 8850625 9042232 9063040 9248000 9308180 9520000 9581950 9777500 10012160 10115000 10357760 10637920 10662400 10880000 10950800 11302790 11328800 11560000 11635225 12264896 12515200 12947200 13031452 13297400 13328000 13688500 14017024 14161000 14500864 14893088 15232000 15295921 15331120 15644000 15680000 15823906 16184000 16289315 16621750 16660000 17020672 17110625 17521280 17701250 18084464 18126080 18496000 18616360 19040000 19163900 19555000 20024320 20230000 21275840 21324800 21901600 22605580 22657600 23120000 23270450 23954875 24529792 25030400 25894400 26062904 26594800 26656000 27377000 28034048 28256975 28322000 29786176 30591842 30662240 31288000 31360000 31647812 32368000 32578630 33243500 33320000 34041344 34221250 35042560 35402500 36168928 36252160 36992000 37232720 38080000 38327800 39110000 39559765 40460000 41554375 42551680 43803200 45211160 45315200 46240000 46540900 47909750 49059584 50060800 51788800 52125808 53189600 53312000 54754000 55383671 56513950 56644000 58176125 59572352 61183684 61324480 62576000 63295624 64736000 65157260 66487000 66640000 68082688 68442500 70085120 70805000 72337856 72504320 74465440 76160000 76479605 76655600 78220000 79119530 80920000 81446575 83108750 85103360 87606400 90422320 90630400 92480000 93081800 95819500 98119168 100121600 104251616 106379200 106624000 107071447 109508000 110767342 113027900 113288000 116352250 119144704 119774375 122367368 122648960 125152000 126591248 129472000 130314520 132974000 133280000 136885000 140170240 141284875 141610000 144675712 148930880 152959210 153311200 156440000 158239060 161840000 162893150 166217500 170206720 175212800 180844640 181260800 184960000 186163600 191639000 196238336 197798825 208503232 212758400 214142894 219016000 221534684 226055800 226576000 232704500 238289408 239548750 244734736 245297920 250304000 253182496 258944000 260030657 260629040 265948000 266560000 273770000 276918355 282569750 283220000 289351424 290880625 297861760 305918420 306622400 312880000 316478120 323680000 325786300 332435000 340413440 350425600 361689280 362521600 372327200 382398025 383278000 395597650 407232875 417006464 425516800 428285788 438032000 443069368 452111600 453152000 465409000 476578816 479097500 489469472 490595840 500608000 506364992 520061314 521258080 531896000 533120000 535357235 547540000 553836710 565139500 566440000 578702848 581761250 595723520 611836840 613244800 625760000 632956240 647360000 651572600 664870000 700851200 706424375 723378560 744654400 749500129 764796050 766556000 791195300 814465750 834012928 851033600 856571576 876064000 886138736 904223200 906304000 930818000 958195000 978938944 981191680 988994125 1012729984 1040122628 1042516160 1063792000 1070714470 1095080000 1107673420 1130279000 1132880000 1157405696 1163522500 1191447040 1223673680 1226489600 1251520000 1265912480 1294720000 1300153285 1303145200 1329740000 1384591775 1412848750 1446757120 1489308800 1499000258 1529592100 1533112000 1582390600 1628931500 1668025856 1702067200 1713143152 1752128000 1772277472 1808446400 1812608000 1820214599 1861636000 1911990125 1916390000 1957877888 1977988250 2025459968 2036164375 2080245256 2085032320 2127584000 2141428940 2190160000 2215346840 2260558000 2265760000 2327045000 2382894080 2447347360 2452979200 2503040000 2531824960 2600306570 2606290400 2659480000 2676786175 2769183550 2825697500 2893514240 2978617600 2998000516 3059184200 3066224000 3164781200 3257863000 3336051712 3426286304 3504256000 3544554944 3616892800 3640429198 3723272000 3747500645 3823980250 3832780000 3915755776 3955976500 4050919936 4072328750 4160490512 4170064640 4255168000 4282857880 4380320000 4420521169 4430693680 4521116000 4531520000 4654090000 4894694720 4905958400 4944970625 5063649920 5200613140 5212580800 5318960000 5353572350 5538367100 5651395000 5787028480 5957235200 5996001032 6118368400 6132448000 6329562400 6500766425 6515726000 6852572608 6922958875 7089109888 7233785600 7280858396 7446544000 7495001290 7647960500 7665560000 7831511552 7911953000 8101839872 8144657500 8320981024 8340129280 8510336000 8565715760 8760640000 8841042338 8861387360 9042232000 9063040000 9101072995 9308180000 9559950625 9789389440 9889941250 10127299840 10401226280 10425161600 10637920000 10707144700 11076734200 11302790000 11914470400 11992002064 12236736800 12264896000 12659124800 12741502193 13001532850 13031452000 13383930875 13705145216 13845917750 14178219776 14467571200 14561716792 14893088000 14990002580 15295921000 15331120000 15663023104 15823906000 16289315000 16641962048 16680258560 17131431520 17521280000 17682084676 17722774720 18084464000 18202145990 18616360000 18737503225 19119901250 19578778880 19779882500 20254599680 20802452560 20850323200 21275840000 21414289400 22102605845 22153468400 22605580000 23984004128 24473473600 24529792000 25318249600 25483004386 26003065700 26062904000 26767861750 27410290432 27691835500 28356439552 28935142400 29123433584 29786176000 29980005160 30591842000 30662240000 30943648183 31647812000 32503832125 32578630000 33283924096 34262863040 34614794375 35364169352 35445549440 36168928000 36404291980 37232720000 37475006450 38239802500 39157557760 39559765000 40509199360 41604905120 41700646400 42551680000 42828578800 44205211690 44306936800 45211160000 45505364975 47968008256 48946947200 50636499200 50966008772 52006131400 52125808000 53535723500 54820580864 55383671000 56712879104 58246867168 59572352000 59960010320 61183684000 61324480000 61887296366 63295624000 63707510965 65007664250 65157260000 66567848192 66919654375 68525726080 69229588750 70728338704 70891098880 72337856000 72808583960 74465440000 74950012900 76479605000 78315115520 79119530000 83209810240 83401292800 85657157600 88410423380 88613873600 90422320000 91010729950 93687516125 95936016512 97893894400 101272998400 101932017544 104012262800 104251616000 107071447000 109641161728 110513029225 110767342000 116493734336 119920020640 122367368000 122648960000 123774592732 126591248000 127415021930 130015328500 130314520000 133135696384 133839308750 137051452160 138459177500 141456677408 141782197760 144675712000 145617167920 148930880000 149900025800 152959210000 154718240915 158239060000 162519160625 166419620480 171314315200 176820846760 177227747200 180844640000 182021459900 187375032250 191872033024 195787788800 202545996800 203864035088 208024525600 208503232000 214142894000 216605537281 221026058450 221534684000 227526824875 232987468672 239840041280 244734736000 247549185464 253182496000 254830043860 260030657000 260629040000 266271392768 267678617500 274102904320 276918355000 282913354816 283564395520 291234335840 297861760000 299800051600 305918420000 309436481830 316478120000 318537554825 325038321250 332839240960 342628630400 353641693520 354455494400 361689280000 364042919800 374750064500 383744066048 391575577600 407728070176 416049051200 417006464000 428285788000 433211074562 442052116900 443069368000 455053649750 465974937344 468437580625 479680082560 489469472000 495098370928 506364992000 509660087720 520061314000 521258080000 535357235000 548205808640 552565146125 553836710000 565826709632 582468671680 599600103200 611836840000 618872963660 632956240000 637075109650 650076642500 665678481920 685257260800 707283387040 708910988800 723378560000 728085839600 749500129000 767488132096 773591204575 815456140352 832098102400 856571576000 866422149124 884104233800 886138736000 910107299500 931949874688 936875161250 959360165120 978938944000 990196741856 1012729984000 1019320175440 1040122628000 1042516160000 1070714470000 1083027686405 1105130292250 1107673420000 1131653419264 1137634124375 1164937343360 1199200206400 1223673680000 1237745927320 1265912480000 1274150219300 1300153285000 1331356963840 1370514521600 1414566774080 1417821977600 1456171679200 1499000258000 1547182409150 1592687774125 1630912280704 1664196204800 1713143152000 1732844298248 1768208467600 1772277472000 1820214599000 1863899749376 1873750322500 1918720330240 1957877888000 1980393483712 2038640350880 2080245256000 2085032320000 2141428940000 2166055372810 2210260584500 2215346840000 2263306838528 2275268248750 2329874686720 2398400412800 2447347360000 2475491854640 2531824960000 2548300438600 2600306570000 2741029043200 2762825730625 2829133548160 2912343358400 2998000516000 3094364818300 3185375548250 3261824561408 3328392409600 3426286304000 3465688596496 3536416935200 3544554944000 3640429198000 3747500645000 3837440660480 3867956022875 3960786967424 4077280701760 4160490512000 4282857880000 4332110745620 4420521169000 4430693680000 4526613677056 4550536497500 4659749373440 4796800825600 4894694720000 4950983709280 5063649920000 5096600877200 5200613140000 5415138432025 5525651461250 5658267096320 5824686716800 5996001032000 6188729636600 6370751096500 6523649122816 6656784819200 6852572608000 6931377192992 7072833870400 7089109888000 7280858396000 7495001290000 7735912045750 7921573934848 7963438870625 8154561403520 8320981024000 8565715760000 8664221491240 8841042338000 8861387360000 9101072995000 9319498746880 9593601651200 9789389440000 9901967418560 10193201754400 10401226280000 10830276864050 11051302922500 11316534192640 11649373433600 11992002064000 12377459273200 12741502193000 13047298245632 13705145216000 13862754385984 14145667740800 14561716792000 14990002580000 15471824091500 15843147869696 15926877741250 16309122807040 16641962048000 17131431520000 17328442982480 17682084676000 17722774720000 18202145990000 19187203302400 19339780114375 19803934837120 20386403508800 20802452560000 21660553728100 22102605845000 22633068385280 23298746867200 23984004128000 24754918546400 25483004386000 27075692160125 27725508771968 28291335481600 29123433584000 29980005160000 30943648183000 31686295739392 31853755482500 32618245614080 33283924096000 34262863040000 34656885964960 35364169352000 35445549440000 36404291980000 38679560228750 39607869674240 40772807017600 41604905120000 43321107456200 44205211690000 46597493734400 47968008256000 49509837092800 50966008772000 54151384320250 55451017543936 56582670963200 58246867168000 59960010320000 61887296366000 63707510965000 65236491228160 68525726080000 69313771929920 70728338704000 72808583960000 77359120457500 79215739348480 81545614035200 83209810240000 86642214912400 88410423380000 95936016512000 99019674185600 101932017544000 108302768640500 110902035087872 113165341926400 116493734336000 119920020640000 123774592732000 127415021930000 135378460800625 138627543859840 141456677408000 145617167920000 154718240915000 158431478696960 163091228070400 166419620480000 173284429824800 176820846760000 198039348371200 203864035088000 216605537281000 221804070175744 232987468672000 239840041280000 247549185464000 254830043860000 270756921601250 277255087719680 282913354816000 291234335840000 309436481830000 326182456140800 346568859649600 353641693520000 396078696742400 407728070176000 433211074562000 479680082560000 495098370928000 509660087720000 541513843202500 554510175439360 565826709632000 582468671680000 618872963660000 693137719299200 707283387040000 792157393484800 815456140352000 866422149124000 990196741856000 1019320175440000 1083027686405000 1109020350878720 1164937343360000 1237745927320000 1386275438598400 1414566774080000 1630912280704000 1732844298248000 1980393483712000 2038640350880000 2166055372810000 2475491854640000 2772550877196800 2829133548160000 3465688596496000 3960786967424000 4077280701760000 4332110745620000 4950983709280000 5545101754393600 6931377192992000 8154561403520000 8664221491240000 9901967418560000 13862754385984000 17328442982480000 19803934837120000 27725508771968000 34656885964960000 69313771929920000 138627543859840000
- Sum of all divisors σ(n): 428024667078676569
- Sum of proper divisors (its aliquot sum) s(n): 289397123218836569
- 138627543859840000 is an abundant number, because the sum of its proper divisors (289397123218836569) is greater than itself. Its abundance is 150769579358996569
Bases of 138627543859840000
- Binary: 1111011001000000100000100010000111101100111000100000000002
- Hexadecimal: 0x1EC810443D9C400
- Base-36: 11WZD2H1181S
Squares and roots of 138627543859840000
- 138627543859840000 squared (1386275438598400002) is 19217595916611862885564825600000000
- 138627543859840000 cubed (1386275438598400003) is 2664088120810793109418286123675560443904000000000000
-
138627543859840000 is a
perfect square number . Itssquare root is 372327200 -
The
cube root of 138627543859840000 is 517547.0564659065
Scales and comparisons
How big is 138627543859840000?- 138,627,543,859,840,000 seconds is equal to 4,407,927,091 years, 30 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,627,543,859,840,000 would take you about thirteen billion, two hundred twenty-three million, seven hundred eighty-one thousand, two hundred seventy-four 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 138627543859840000 cubic inches would be around 43128.9 feet tall.
Recreational maths with 138627543859840000
- 138627543859840000 backwards is 000048958345726831
- The number of decimal digits it has is: 18
- The sum of 138627543859840000's digits is 73
- 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 138627543859840000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138627543859840000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138627543859840000/
Chicago style:
Numbermatics. 2024. "Number 138627543859840000 - Facts about the integer". https://numbermatics.com/n/138627543859840000/
The information we have on file for 138627543859840000 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 138627543859840000, math, Factors of 138627543859840000, curriculum, school, college, exams, university, Prime factorization of 138627543859840000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred twenty-seven trillion, five hundred forty-three billion, eight hundred fifty-nine million, eight hundred forty thousand.