138284330526720
138,284,330,526,720 is an even composite number composed of six prime numbers multiplied together.
138284330526720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138284330526720:
211 × 310 × 5 × 7 × 37 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 37 × 883)See below for interesting mathematical facts about the number 138284330526720 from the Numbermatics database.
Names of 138284330526720
- Cardinal: 138284330526720 can be written as One hundred thirty-eight trillion, two hundred eighty-four billion, three hundred thirty million, five hundred twenty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3828433052672 × 1014
Factors of 138284330526720
Divisors of 138284330526720
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 37 40 42 45 48 54 56 60 63 64 70 72 74 80 81 84 90 96 105 108 111 112 120 126 128 135 140 144 148 160 162 168 180 185 189 192 210 216 222 224 240 243 252 256 259 270 280 288 296 315 320 324 333 336 360 370 378 384 405 420 432 444 448 480 486 504 512 518 540 555 560 567 576 592 630 640 648 666 672 720 729 740 756 768 777 810 840 864 883 888 896 945 960 972 999 1008 1024 1036 1080 1110 1120 1134 1152 1184 1215 1260 1280 1295 1296 1332 1344 1440 1458 1480 1512 1536 1554 1620 1665 1680 1701 1728 1766 1776 1792 1890 1920 1944 1998 2016 2048 2072 2160 2187 2220 2240 2268 2304 2331 2368 2430 2520 2560 2590 2592 2649 2664 2688 2835 2880 2916 2960 2997 3024 3072 3108 3240 3330 3360 3402 3456 3532 3552 3584 3645 3780 3840 3885 3888 3996 4032 4144 4320 4374 4415 4440 4480 4536 4608 4662 4736 4860 4995 5040 5103 5120 5180 5184 5298 5328 5376 5670 5760 5832 5920 5994 6048 6144 6181 6216 6480 6561 6660 6720 6804 6912 6993 7064 7104 7168 7290 7560 7680 7770 7776 7947 7992 8064 8288 8505 8640 8748 8830 8880 8960 8991 9072 9216 9324 9472 9720 9990 10080 10206 10240 10360 10368 10596 10656 10752 10935 11340 11520 11655 11664 11840 11988 12096 12362 12432 12960 13122 13245 13320 13440 13608 13824 13986 14128 14208 14336 14580 14985 15120 15309 15360 15540 15552 15894 15984 16128 16576 17010 17280 17496 17660 17760 17920 17982 18144 18432 18543 18648 18944 19440 19683 19980 20160 20412 20720 20736 20979 21192 21312 21504 21870 22680 23040 23310 23328 23680 23841 23976 24192 24724 24864 25515 25920 26244 26490 26640 26880 26973 27216 27648 27972 28256 28416 29160 29970 30240 30618 30720 30905 31080 31104 31788 31968 32256 32671 32805 33152 34020 34560 34965 34992 35320 35520 35840 35964 36288 37086 37296 37888 38880 39366 39735 39960 40320 40824 41440 41472 41958 42384 42624 43008 43740 44955 45360 45927 46080 46620 46656 47360 47682 47952 48384 49448 49728 51030 51840 52488 52980 53280 53760 53946 54432 55296 55629 55944 56512 56832 58320 59049 59940 60480 61236 61810 62160 62208 62937 63576 63936 64512 65342 65610 66304 68040 69120 69930 69984 70640 71040 71523 71680 71928 72576 74172 74592 75776 76545 77760 78732 79470 79920 80640 80919 81648 82880 82944 83916 84768 85248 87480 89910 90720 91854 92160 92715 93240 93312 94720 95364 95904 96768 98013 98415 98896 99456 102060 103680 104895 104976 105960 106560 107520 107892 108864 111258 111888 113024 113664 116640 118098 119205 119880 120960 122472 123620 124320 124416 125874 127152 127872 129024 130684 131220 132608 134865 136080 137781 138240 139860 139968 141280 142080 143046 143856 145152 148344 149184 153090 155520 157464 158940 159840 161280 161838 163296 163355 165760 165888 166887 167832 169536 170496 174960 179820 181440 183708 185430 186480 186624 188811 189440 190728 191808 193536 196026 196830 197792 198912 204120 207360 209790 209952 211920 213120 214569 215040 215784 217728 222516 223776 226048 227328 228697 229635 233280 236196 238410 239760 241920 242757 244944 247240 248640 248832 251748 254304 255744 261368 262440 265216 269730 272160 275562 276480 278145 279720 279936 282560 284160 286092 287712 290304 294039 295245 296688 298368 306180 311040 314685 314928 317880 319680 322560 323676 326592 326710 331520 333774 335664 339072 340992 349920 357615 359640 362880 367416 370860 372960 373248 377622 378880 381456 383616 387072 392052 393660 395584 397824 404595 408240 413343 414720 419580 419904 423840 426240 429138 431568 435456 445032 447552 452096 457394 459270 466560 472392 476820 479520 483840 485514 489888 490065 494480 497280 497664 500661 503496 508608 511488 522736 524880 530432 539460 544320 551124 556290 559440 559872 565120 566433 568320 572184 575424 580608 588078 590490 593376 596736 612360 622080 629370 629856 635760 639360 643707 645120 647352 653184 653420 663040 667548 671328 678144 681984 686091 688905 699840 715230 719280 725760 728271 734832 741720 745920 746496 755244 762912 767232 784104 787320 791168 795648 809190 816480 826686 829440 834435 839160 839808 847680 852480 858276 863136 870912 882117 890064 895104 904192 914788 918540 933120 944055 944784 953640 959040 967680 971028 979776 980130 988960 994560 1001322 1006992 1017216 1022976 1045472 1049760 1072845 1078920 1088640 1102248 1112580 1118880 1119744 1130240 1132866 1136640 1143485 1144368 1150848 1161216 1176156 1180980 1186752 1193472 1213785 1224720 1244160 1258740 1259712 1271520 1278720 1287414 1294704 1306368 1306840 1326080 1335096 1342656 1356288 1372182 1377810 1399680 1430460 1438560 1451520 1456542 1469664 1470195 1483440 1491840 1492992 1501983 1510488 1525824 1534464 1568208 1574640 1582336 1591296 1618380 1632960 1653372 1668870 1678320 1679616 1695360 1699299 1704960 1716552 1726272 1741824 1764234 1780128 1790208 1808384 1829576 1837080 1866240 1888110 1889568 1907280 1918080 1931121 1935360 1942056 1959552 1960260 1977920 1989120 2002644 2013984 2034432 2045952 2058273 2066715 2090944 2099520 2145690 2157840 2177280 2184813 2204496 2225160 2237760 2239488 2260480 2265732 2286970 2288736 2301696 2352312 2361960 2373504 2386944 2427570 2449440 2488320 2503305 2517480 2519424 2543040 2557440 2574828 2589408 2612736 2613680 2646351 2652160 2670192 2685312 2712576 2744364 2755620 2799360 2832165 2860920 2877120 2903040 2913084 2939328 2940390 2966880 2983680 3003966 3020976 3051648 3068928 3136416 3149280 3164672 3218535 3236760 3265920 3306744 3337740 3356640 3359232 3390720 3398598 3409920 3430455 3433104 3452544 3483648 3528468 3560256 3580416 3641355 3659152 3674160 3732480 3776220 3779136 3814560 3836160 3862242 3884112 3919104 3920520 3955840 3978240 4005288 4027968 4068864 4116546 4133430 4181888 4199040 4291380 4315680 4354560 4369626 4408992 4410585 4450320 4475520 4478976 4505949 4520960 4531464 4573940 4577472 4603392 4704624 4723920 4747008 4773888 4855140 4898880 5006610 5034960 5038848 5086080 5097897 5114880 5149656 5178816 5225472 5227360 5292702 5340384 5370624 5425152 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13426560 13436928 13517847 13562880 13594392 13721820 13732416 13810176 14113872 14241024 14321664 14565420 14636608 14696640 15019830 15104880 15116544 15258240 15293691 15344640 15448968 15536448 15676416 15682080 15823360 15878106 16021152 16111872 16275456 16466184 16533720 16727552 16796160 16992990 17165520 17262720 17380089 17418240 17478504 17635968 17642340 17801280 17902080 18023796 18125856 18295760 18309888 18413568 18524457 18818496 18895680 18988032 19311210 19420560 19595520 20026440 20139840 20155392 20344320 20391588 20582730 20598624 20715264 20909440 21170808 21361536 21482496 21848130 21954912 22044960 22394880 22529745 22657320 22887360 23016960 23173452 23304672 23514624 23523120 23735040 23817159 23869440 24031728 24167808 24413184 24699276 25091328 25194240 25489485 25748280 25894080 26127360 26453952 26463510 26701920 26853120 27035694 27125760 27188784 27443640 27464832 27620352 28227744 28482048 28966815 29130840 29273216 29393280 30039660 30209760 30233088 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69520356 69914016 70543872 70569360 71205120 71451477 71608320 72095184 72503424 73183040 73239552 74097828 75273984 75582720 76468455 77244840 77682240 78382080 79390530 80105760 80559360 81107082 81377280 81566352 82330920 82394496 82861056 83637760 84683232 85446144 86900445 87392520 87819648 88179840 90118980 90629280 91549440 92067840 92622285 92693808 93218688 94058496 94092480 94940160 95268636 96126912 96671232 98797104 100365312 100776960 101957940 102993120 103576320 104280534 105815808 105854040 106807680 107412480 108142776 108755136 109774560 109859328 111146742 112910976 113928192 115867260 116523360 117092864 117573120 119085795 120158640 120839040 120932352 121660623 122065920 122349528 123496380 123591744 124291584 125456640 127024848 128169216 128894976 131729472 132269760 135178470 135943920 137324160 138101760 139040712 139828032 141087744 141138720 142410240 142902954 144190368 145006848 146366080 146479104 148195656 150547968 151165440 152936910 154489680 155364480 156764160 158781060 160211520 161118720 162214164 163132704 164661840 164788992 165722112 166720113 167275520 169366464 170892288 173800890 174785040 175639296 176359680 180237960 181258560 183098880 185244570 185387616 186437376 188184960 189880320 190537272 192253824 193342464 197594208 200730624 201553920 202767705 203915880 205986240 207152640 208561068 211631616 211708080 213615360 214354431 214824960 216285552 217510272 219549120 219718656 222293484 225821952 231734520 233046720 234185728 235146240 238171590 240317280 241678080 243321246 244131840 244699056 246992760 247183488 248583168 250913280 254049696 256338432 260701335 263458944 264539520 270356940 271887840 274648320 276203520 277866855 278081424 279656064 282175488 282277440 284820480 285805908 288380736 290013696 292732160 296391312 301095936 302330880 305873820 308979360 310728960 317562120 320423040 322237440 324428328 326265408 329323680 329577984 333440226 334551040 338732928 341784576 347601780 349570080 351278592 352719360 357257385 360475920 362517120 364981869 366197760 370489140 370775232 372874752 376369920 381074544 384507648 386684928 395188416 405535410 407831760 411972480 414305280 417122136 423263232 423416160 427230720 428708862 432571104 435020544 439098240 439437312 444586968 451643904 463469040 466093440 468371456 470292480 476343180 480634560 483356160 486642492 489398112 493985520 494366976 497166336 500160339 501826560 508099392 512676864 521402670 526917888 529079040 540713880 543775680 549296640 555733710 556162848 559312128 564554880 569640960 571611816 576761472 580027392 585464320 592782624 602191872 604661760 608303115 611747640 617958720 621457920 635124240 640846080 643063293 644474880 648856656 652530816 658647360 659155968 666880452 677465856 695203560 699140160 702557184 705438720 714514770 720951840 725034240 729963738 732395520 740978280 741550464 745749504 752739840 762149088 769015296 790376832 811070820 815663520 823944960 828610560 833600565 834244272 846526464 846832320 854461440 857417724 865142208 870041088 878196480 889173936 903287808 926938080 932186880 952686360 961269120 966712320 973284984 978796224 987971040 988733952 1000320678 1003653120 1016198784 1025353728 1042805340 1053835776 1058158080 1071772155 1081427760 1087551360 1098593280 1111467420 1112325696 1118624256 1129109760 1143223632 1153522944 1160054784 1170928640 1185565248 1216606230 1223495280 1235917440 1242915840 1270248480 1281692160 1286126586 1297713312 1305061632 1317294720 1318311936 1333760904 1354931712 1390407120 1398280320 1405114368 1410877440 1429029540 1441903680 1450068480 1459927476 1481956560 1483100928 1491499008 1500481017 1505479680 1524298176 1538030592 1580753664 1622141640 1631327040 1647889920 1667201130 1668488544 1693664640 1708922880 1714835448 1730284416 1740082176 1756392960 1778347872 1806575616 1824909345 1853876160 1864373760 1905372720 1922538240 1929189879 1933424640 1946569968 1957592448 1975942080 1977467904 2000641356 2032397568 2085610680 2107671552 2116316160 2143544310 2162855520 2175102720 2197186560 2222934840 2224651392 2237248512 2258219520 2286447264 2307045888 2341857280 2371130496 2433212460 2446990560 2471834880 2485831680 2500801695 2540496960 2563384320 2572253172 2595426624 2610123264 2634589440 2667521808 2709863424 2780814240 2796560640 2858059080 2883807360 2900136960 2919854952 2963913120 2966201856 3000962034 3010959360 3048596352 3076061184 3161507328 3215316465 3244283280 3262654080 3295779840 3334402260 3336977088 3387329280 3429670896 3460568832 3480164352 3512785920 3556695744 3649818690 3707752320 3728747520 3810745440 3845076480 3858379758 3893139936 3915184896 3951884160 3954935808 4001282712 4064795136 4171221360 4215343104 4232632320 4287088620 4325711040 4350205440 4445869680 4449302784 4474497024 4501443051 4516439040 4572894528 4614091776 4742260992 4866424920 4893981120 4943669760 5001603390 5080993920 5126768640 5144506344 5190853248 5220246528 5269178880 5335043616 5419726848 5561628480 5593121280 5716118160 5767614720 5800273920 5839709904 5927826240 5932403712 6001924068 6097192704 6323014656 6430632930 6488566560 6525308160 6591559680 6668804520 6673954176 6774658560 6859341792 6921137664 7025571840 7113391488 7299637380 7415504640 7457495040 7502405085 7621490880 7690152960 7716759516 7786279872 7830369792 7903768320 8002565424 8129590272 8342442720 8574177240 8651422080 8700410880 8891739360 8898605568 9002886102 9032878080 9145789056 9228183552 9484521984 9645949395 9732849840 9787962240 9887339520 10003206780 10161987840 10289012688 10381706496 10440493056 10538357760 10670087232 11123256960 11186242560 11432236320 11535229440 11679419808 11855652480 11864807424 12003848136 12194385408 12646029312 12861265860 12977133120 13050616320 13337609040 13347908352 13504329153 13549317120 13718683584 13842275328 14226782976 14599274760 14831009280 15004810170 15242981760 15380305920 15433519032 15572559744 15660739584 15807536640 16005130848 16259180544 16684885440 17148354480 17302844160 17400821760 17783478720 17797211136 18005772204 18291578112 18969043968 19291898790 19465699680 19575924480 19774679040 20006413560 20323975680 20578025376 20763412992 21076715520 21340174464 22246513920 22372485120 22507215255 22864472640 23070458880 23358839616 23711304960 24007696272 24388770816 25722531720 25954266240 26101232640 26675218080 26695816704 27008658306 27098634240 27437367168 27684550656 28453565952 29198549520 29662018560 30009620340 30485963520 30867038064 31145119488 31321479168 31615073280 32010261696 33369770880 34296708960 34605688320 35566957440 35594422272 36011544408 36583156224 37938087936 38583797580 38931399360 39151848960 40012827120 40647951360 41156050752 41526825984 42680348928 44493027840 45014430510 45728945280 46140917760 46717679232 47422609920 48015392544 48777541632 51445063440 51908532480 52202465280 53350436160 53391633408 54017316612 54874734336 56907131904 58397099040 59324037120 60019240680 60971927040 61734076128 62290238976 63230146560 64020523392 66739541760 67521645765 68593417920 69211376640 71133914880 72023088816 73166312448 77167595160 77862798720 78303697920 80025654240 81295902720 82312101504 83053651968 85360697856 88986055680 90028861020 91457890560 93435358464 94845219840 96030785088 102890126880 103817064960 106700872320 106783266816 108034633224 109749468672 113814263808 116794198080 120038481360 121943854080 123468152256 124580477952 128041046784 133479083520 135043291530 137186835840 138422753280 142267829760 144046177632 146332624896 154335190320 155725597440 156607395840 160051308480 164624203008 170721395712 177972111360 180057722040 182915781120 186870716928 189690439680 192061570176 205780253760 207634129920 213401744640 216069266448 219498937344 233588396160 240076962720 243887708160 246936304512 249160955904 256082093568 266958167040 270086583060 274373671680 284535659520 288092355264 308670380640 311451194880 320102616960 329248406016 341442791424 360115444080 365831562240 373741433856 384123140352 411560507520 415268259840 426803489280 432138532896 438997874688 467176792320 480153925440 493872609024 512164187136 533916334080 540173166120 548747343360 569071319040 576184710528 617340761280 622902389760 640205233920 658496812032 720230888160 731663124480 747482867712 768246280704 823121015040 853606978560 864277065792 934353584640 960307850880 987745218048 1024328374272 1080346332240 1097494686720 1152369421056 1234681522560 1245804779520 1280410467840 1316993624064 1440461776320 1536492561408 1646242030080 1707213957120 1728554131584 1868707169280 1920615701760 1975490436096 2160692664480 2194989373440 2304738842112 2469363045120 2560820935680 2880923552640 3072985122816 3292484060160 3457108263168 3737414338560 3841231403520 3950980872192 4321385328960 4609477684224 4938726090240 5121641871360 5761847105280 6584968120320 6914216526336 7682462807040 8642770657920 9218955368448 9877452180480 11523694210560 13828433052672 15364925614080 17285541315840 19754904360960 23047388421120 27656866105344 34571082631680 46094776842240 69142165263360 138284330526720
- Sum of all divisors σ(n): 584833659096960
- Sum of proper divisors (its aliquot sum) s(n): 446549328570240
- 138284330526720 is an abundant number, because the sum of its proper divisors (446549328570240) is greater than itself. Its abundance is 308264998043520
Bases of 138284330526720
- Binary: 111110111000100110101000110011000101000000000002
- Hexadecimal: 0x7DC4D4662800
- Base-36: 1D0MY00000
Squares and roots of 138284330526720
- 138284330526720 squared (1382843305267202) is 19122556069223144872633958400
- 138284330526720 cubed (1382843305267203) is 2644349863992188941986337139905630568448000
-
The
square root of 138284330526720 is 11759435.8081805949 -
The
cube root of 138284330526720 is 51711.9590085309
Scales and comparisons
How big is 138284330526720?- 138,284,330,526,720 seconds is equal to 4,397,013 years, 50 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,284,330,526,720 would take you about ten million, nine hundred ninety-two thousand, five hundred thirty-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 138284330526720 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138284330526720
- 138284330526720 backwards is 027625033482831
- 138284330526720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138284330526720's digits is 54
- More coming soon!
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MLA style:
"Number 138284330526720 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138284330526720 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138284330526720/
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Numbermatics. 2024. "Number 138284330526720 - Facts about the integer". https://numbermatics.com/n/138284330526720/
The information we have on file for 138284330526720 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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