138513784015360000
138,513,784,015,360,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138513784015360000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1755 divisors.
138513784015360000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred fifty-five divisors.
Prime factorization of 138513784015360000:
212 × 54 × 132 × 292 × 6172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 29 × 29 × 617 × 617)See below for interesting mathematical facts about the number 138513784015360000 from the Numbermatics database.
Names of 138513784015360000
- Cardinal: 138513784015360000 can be written as One hundred thirty-eight quadrillion, five hundred thirteen trillion, seven hundred eighty-four billion, fifteen million, three hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3851378401536 × 1017
Factors of 138513784015360000
Divisors of 138513784015360000
- Number of divisors d(n): 1755
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 100 104 116 125 128 130 145 160 169 200 208 232 250 256 260 290 320 325 338 377 400 416 464 500 512 520 580 617 625 640 650 676 725 754 800 832 841 845 928 1000 1024 1040 1160 1234 1250 1280 1300 1352 1450 1508 1600 1625 1664 1682 1690 1856 1885 2000 2048 2080 2320 2468 2500 2560 2600 2704 2900 3016 3085 3200 3250 3328 3364 3380 3625 3712 3770 4000 4096 4160 4205 4225 4640 4901 4936 5000 5120 5200 5408 5800 6032 6170 6400 6500 6656 6728 6760 7250 7424 7540 8000 8021 8125 8320 8410 8450 9280 9425 9802 9872 10000 10240 10400 10816 10933 11600 12064 12340 12800 13000 13312 13456 13520 14500 14848 15080 15425 16000 16042 16250 16640 16820 16900 17893 18125 18560 18850 19604 19744 20000 20480 20800 21025 21125 21632 21866 23200 24128 24505 24680 25600 26000 26624 26912 27040 29000 29696 30160 30850 32000 32084 32500 33280 33640 33800 35786 36250 37120 37700 39208 39488 40000 40105 41600 42050 42250 43264 43732 46400 47125 48256 49010 49360 51200 52000 53248 53824 54080 54665 58000 59392 60320 61700 64000 64168 65000 66560 67280 67600 71572 72500 74240 75400 77125 78416 78976 80000 80210 83200 84100 84500 86528 87464 89465 92800 94250 96512 98020 98720 102400 104000 104273 105125 105625 107648 108160 109330 116000 118784 120640 122525 123400 128000 128336 130000 133120 134560 135200 142129 143144 145000 148480 150800 154250 156832 157952 160000 160420 166400 168200 169000 173056 174928 178930 185600 188500 193024 196040 197440 200525 208000 208546 210250 211250 215296 216320 218660 232000 232609 235625 241280 245050 246800 256000 256672 260000 266240 269120 270400 273325 284258 286288 290000 296960 301600 308500 313664 315904 320000 320840 332800 336400 338000 346112 349856 357860 371200 377000 380689 385625 386048 392080 394880 401050 416000 417092 420500 422500 430592 432640 437320 447325 464000 465218 471250 482560 490100 493600 512000 513344 518897 520000 521365 525625 538240 540800 546650 568516 572576 580000 593920 603200 612625 617000 627328 631808 640000 641680 665600 672800 676000 692224 699712 710645 715720 742400 754000 761378 771250 772096 784160 789760 802100 832000 834184 841000 845000 861184 865280 874640 894650 928000 930436 942500 965120 980200 987200 1002625 1026688 1037794 1040000 1042730 1051250 1076480 1081600 1093300 1137032 1145152 1160000 1163045 1206400 1225250 1234000 1254656 1263616 1280000 1283360 1331200 1345600 1352000 1366625 1399424 1421290 1431440 1484800 1508000 1522756 1542500 1544192 1568320 1579520 1604200 1664000 1668368 1682000 1690000 1722368 1730560 1749280 1789300 1856000 1860872 1885000 1903445 1930240 1960400 1974400 2005250 2053376 2075588 2080000 2085460 2102500 2152960 2163200 2186600 2236625 2274064 2290304 2320000 2326090 2412800 2450500 2468000 2509312 2527232 2560000 2566720 2594485 2606825 2691200 2704000 2733250 2798848 2842580 2862880 2969600 3016000 3023917 3045512 3063125 3085000 3136640 3159040 3208400 3328000 3336736 3364000 3380000 3444736 3461120 3498560 3553225 3578600 3712000 3721744 3770000 3806890 3860480 3920800 3948800 4010500 4106752 4151176 4160000 4170920 4205000 4305920 4326400 4373200 4473250 4548128 4580608 4640000 4652180 4825600 4901000 4936000 4948957 5013125 5018624 5133440 5188970 5213650 5382400 5408000 5466500 5597696 5685160 5725760 5815225 6032000 6047834 6091024 6126250 6170000 6273280 6318080 6416800 6656000 6673472 6728000 6745661 6760000 6833125 6997120 7106450 7157200 7424000 7443488 7540000 7613780 7720960 7841600 7897600 8021000 8213504 8302352 8320000 8341840 8410000 8611840 8652800 8746400 8946500 9096256 9161216 9280000 9304360 9517225 9651200 9802000 9872000 9897914 10026250 10037248 10266880 10377940 10427300 10764800 10816000 10933000 11039981 11183125 11195392 11370320 11451520 11630450 12064000 12095668 12182048 12252500 12340000 12546560 12636160 12833600 12972425 13034125 13346944 13456000 13491322 13520000 13666250 13994240 14212900 14314400 14848000 14886976 15080000 15119585 15227560 15683200 15795200 16042000 16427008 16604704 16640000 16683680 16820000 17223680 17305600 17492800 17766125 17893000 18192512 18322432 18560000 18608720 19034450 19302400 19604000 19744000 19795828 20052500 20074496 20533760 20755880 20854600 21529600 21632000 21866000 22079962 22366250 22390784 22740640 22903040 23260900 24128000 24191336 24364096 24505000 24680000 24744785 25093120 25667200 25944850 26068250 26693888 26912000 26982644 27040000 27332500 27988480 28425800 28628800 29076125 29773952 30160000 30239170 30455120 31366400 31590400 32084000 32854016 33209408 33280000 33367360 33640000 33728305 34985600 35532250 35786000 36385024 36644864 37120000 37217440 38068900 38604800 39208000 39488000 39591656 40105000 41067520 41511760 41709200 43059200 43264000 43732000 44159924 44732500 44781568 45481280 45806080 46521800 47586125 48256000 48382672 48728192 49010000 49360000 49489570 50186240 51334400 51889700 52136500 53387776 53824000 53965288 54080000 54665000 55199905 55976960 56851600 57257600 58152250 59547904 60320000 60478340 60910240 62732800 63180800 64168000 64336441 64862125 65170625 66418816 66734720 67280000 67456610 69971200 71064500 71572000 72770048 73289728 74240000 74434880 75597925 76137800 78416000 78976000 79183312 80210000 82135040 83023520 83418400 86118400 86528000 87464000 87693593 88319848 88830625 89465000 90962560 91612160 93043600 95172250 96512000 96765344 97456384 98020000 98720000 98979140 100372480 102668800 103779400 104273000 106775552 107648000 107930576 108160000 109330000 110399810 111953920 113703200 114515200 116304500 119095808 120640000 120956680 121820480 123723925 125465600 128336000 128672882 129724250 130341250 132837632 133469440 134560000 134913220 139942400 142129000 143144000 143519753 145380625 145540096 148869760 151195850 152275600 156832000 157952000 158366624 160420000 164270080 166047040 166836800 168641525 174928000 175387186 176639696 177661250 178930000 181925120 183224320 186087200 190344500 193024000 193530688 194912768 196040000 197440000 197958280 205337600 207558800 208546000 213551104 215296000 215861152 216320000 218660000 220799620 223907840 227406400 229030400 232609000 237930625 238191616 241280000 241913360 243640960 247447850 250931200 256672000 257345764 259448500 260682500 265675264 266938880 269120000 269826440 275999525 279884800 284258000 286288000 287039506 290761250 291080192 297739520 302391700 304551200 313664000 315904000 316733248 320159449 320840000 321682205 324310625 332094080 333673600 337283050 349856000 350774372 353279392 355322500 357860000 363850240 366448640 372174400 377989625 380689000 387061376 389825536 392080000 394880000 395916560 410675200 415117600 417092000 427102208 430592000 431722304 432640000 437320000 438467965 441599240 454812800 458060800 465218000 475861250 476383232 482560000 483826720 487281920 494895700 501862400 513344000 514691528 518897000 521365000 531350528 533877760 538240000 539652880 551999050 559769600 568516000 572576000 574079012 581522500 582160384 595479040 604783400 609102400 618619625 627328000 633466496 640318898 641680000 643364410 648621250 664188160 667347200 674566100 699712000 701548744 706558784 710645000 715720000 717598765 727700480 744348800 755979250 761378000 774122752 779651072 784160000 789760000 791833120 821350400 830235200 834184000 843207625 863444608 874640000 876935930 883198480 909625600 916121600 930436000 951722500 952766464 965120000 967653440 974563840 989791400 1026688000 1029383056 1037794000 1042730000 1062701056 1067755520 1076480000 1079305760 1103998100 1119539200 1137032000 1145152000 1148158024 1163045000 1190958080 1209566800 1218204800 1237239250 1254656000 1266932992 1280637796 1283360000 1286728820 1297242500 1328376320 1334694400 1349132200 1379997625 1399424000 1403097488 1413117568 1421290000 1431440000 1435197530 1455400960 1488697600 1511958500 1522756000 1548245504 1559302144 1568320000 1579520000 1583666240 1600797245 1608411025 1660470400 1668368000 1686415250 1726889216 1749280000 1753871860 1766396960 1819251200 1832243200 1860872000 1865756789 1889948125 1903445000 1935306880 1949127680 1979582800 2053376000 2058766112 2075588000 2085460000 2125402112 2135511040 2152960000 2158611520 2192339825 2207996200 2274064000 2290304000 2296316048 2326090000 2381916160 2419133600 2436409600 2474478500 2509312000 2533865984 2561275592 2566720000 2573457640 2594485000 2656752640 2669388800 2698264400 2759995250 2798848000 2806194976 2826235136 2842580000 2862880000 2870395060 2910801920 2977395200 3023917000 3045512000 3093098125 3096491008 3136640000 3167332480 3201594490 3216822050 3320940800 3336736000 3372830500 3453778432 3498560000 3507743720 3532793920 3587993825 3638502400 3721744000 3731513578 3779896250 3806890000 3870613760 3898255360 3959165600 4106752000 4117532224 4151176000 4162072837 4170920000 4216038125 4317223040 4384679650 4415992400 4548128000 4580608000 4592632096 4652180000 4763832320 4838267200 4872819200 4948957000 5067731968 5122551184 5133440000 5146915280 5188970000 5313505280 5338777600 5396528800 5519990500 5597696000 5612389952 5652470272 5685160000 5725760000 5740790120 5954790400 6047834000 6091024000 6186196250 6192982016 6273280000 6334664960 6403188980 6433644100 6641881600 6673472000 6745661000 6899988125 6907556864 6997120000 7015487440 7065587840 7175987650 7277004800 7443488000 7463027156 7559792500 7613780000 7741227520 7796510720 7918331200 8003986225 8042055125 8235064448 8302352000 8324145674 8341840000 8432076250 8634446080 8769359300 8831984800 9096256000 9161216000 9185264192 9304360000 9328783945 9676534400 9745638400 9897914000 10135463936 10245102368 10266880000 10293830560 10377940000 10627010560 10677555200 10793057600 10961699125 11039981000 11224779904 11304940544 11370320000 11451520000 11481580240 11909580800 12095668000 12182048000 12372392500 12385964032 12546560000 12669329920 12806377960 12867288200 13283763200 13346944000 13491322000 13799976250 13815113728 13994240000 14030974880 14131175680 14351975300 14554009600 14886976000 14926054312 15119585000 15227560000 15482455040 15836662400 16007972450 16084110250 16470128896 16604704000 16648291348 16683680000 16864152500 17268892160 17538718600 17663969600 17939969125 18192512000 18370528384 18608720000 18657567890 19353068800 19491276800 19795828000 20270927872 20490204736 20533760000 20587661120 20755880000 20810364185 21586115200 21923398250 22079962000 22449559808 22609881088 22740640000 22903040000 22963160480 23819161600 24191336000 24364096000 24744785000 25338659840 25612755920 25734576400 26567526400 26693888000 26982644000 27599952500 27630227456 27988480000 28061949760 28262351360 28703950600 29773952000 29852108624 30239170000 30455120000 30964910080 31673324800 32015944900 32168220500 32940257792 33209408000 33296582696 33367360000 33728305000 34537784320 35077437200 35327939200 35879938250 36385024000 36741056768 37217440000 37315135780 38706137600 38982553600 39591656000 40019931125 40210275625 40980409472 41175322240 41511760000 41620728370 43172230400 43846796500 44159924000 44899119616 45219762176 45481280000 45806080000 45926320960 46643919725 48382672000 48728192000 49489570000 50677319680 51225511840 51469152800 53135052800 53387776000 53965288000 54106946881 54808495625 55199905000 56123899520 56524702720 57407901200 59547904000 59704217248 60478340000 60910240000 61929820160 63346649600 64031889800 64336441000 65880515584 66418816000 66593165392 66734720000 67456610000 69075568640 70154874400 70655878400 71759876500 72770048000 73482113536 74434880000 74630271560 77412275200 79183312000 80039862250 80420551250 81960818944 82350644480 83023520000 83241456740 86344460800 87693593000 88319848000 89699845625 89798239232 90962560000 91852641920 93287839450 96765344000 97456384000 98979140000 101354639360 102451023680 102938305600 104051820925 107930576000 108213893762 109616991250 110399810000 112247799040 113049405440 114815802400 119095808000 119408434496 120956680000 121820480000 126693299200 128063779600 128672882000 131761031168 132837632000 133186330784 133469440000 134913220000 138151137280 140309748800 141311756800 143519753000 146964227072 148869760000 149260543120 154824550400 158366624000 160079724500 160841102500 163921637888 164701288960 166047040000 166482913480 172688921600 175387186000 176639696000 179399691250 179596478464 181925120000 183705283840 186575678900 193530688000 194912768000 197958280000 200099655625 204902047360 205876611200 208103641850 215861152000 216427787524 219233982500 220799620000 224495598080 226098810880 229631604800 233219598625 238816868992 241913360000 243640960000 253386598400 256127559200 257345764000 263522062336 265675264000 266372661568 266938880000 269826440000 270534734405 280619497600 282623513600 287039506000 293928454144 297739520000 298521086240 309649100800 316733248000 320159449000 321682205000 327843275776 329402577920 332094080000 332965826960 345377843200 350774372000 353279392000 358799382500 359192956928 363850240000 367410567680 373151357800 387061376000 395916560000 400199311250 409804094720 411753222400 416207283700 431722304000 432855575048 438467965000 441599240000 448991196160 459263209600 466439197250 477633737984 483826720000 487281920000 506773196800 512255118400 514691528000 520259104625 532745323136 539652880000 541069468810 561238995200 565247027200 574079012000 587856908288 595479040000 597042172480 633466496000 640318898000 643364410000 655686551552 658805155840 664188160000 665931653920 690755686400 701548744000 706558784000 717598765000 734821135360 746302715600 774122752000 791833120000 800398622500 819608189440 823506444800 832414567400 863444608000 865711150096 876935930000 883198480000 897982392320 918526419200 932878394500 955267475968 967653440000 974563840000 1024510236800 1029383056000 1040518209250 1065490646272 1079305760000 1082138937620 1122477990400 1130494054400 1148158024000 1166097993125 1194084344960 1266932992000 1280637796000 1286728820000 1311373103104 1317610311680 1328376320000 1331863307840 1352673672025 1403097488000 1413117568000 1435197530000 1469642270720 1492605431200 1548245504000 1583666240000 1600797245000 1639216378880 1647012889600 1664829134800 1726889216000 1731422300192 1753871860000 1766396960000 1795964784640 1837052838400 1865756789000 1910534951936 1935306880000 2049020473600 2058766112000 2081036418500 2130981292544 2158611520000 2164277875240 2244955980800 2296316048000 2332195986250 2388168689920 2533865984000 2561275592000 2573457640000 2601295523125 2663726615680 2705347344050 2806194976000 2826235136000 2870395060000 2939284541440 2985210862400 3167332480000 3201594490000 3278432757760 3294025779200 3329658269600 3453778432000 3462844600384 3507743720000 3532793920000 3674105676800 3731513578000 3821069903872 3870613760000 4098040947200 4117532224000 4162072837000 4261962585088 4317223040000 4328555750480 4489911961600 4592632096000 4664391972500 4776337379840 5122551184000 5146915280000 5202591046250 5327453231360 5410694688100 5612389952000 5652470272000 5740790120000 5970421724800 6334664960000 6403188980000 6556865515520 6588051558400 6659316539200 6763368360125 6925689200768 7015487440000 7065587840000 7348211353600 7463027156000 7642139807744 7741227520000 8196081894400 8235064448000 8324145674000 8523925170176 8634446080000 8657111500960 8979823923200 9185264192000 9328783945000 9552674759680 10245102368000 10293830560000 10405182092500 10654906462720 10821389376200 11224779904000 11481580240000 11940843449600 12669329920000 12806377960000 13318633078400 13526736720250 13851378401536 14030974880000 14131175680000 14696422707200 14926054312000 16392163788800 16470128896000 16648291348000 17047850340352 17268892160000 17314223001920 18370528384000 18657567890000 19105349519360 20490204736000 20587661120000 20810364185000 21309812925440 21642778752400 22449559808000 22963160480000 23881686899200 25612755920000 26637266156800 27053473440500 27702756803072 28061949760000 28262351360000 29852108624000 32784327577600 32940257792000 33296582696000 33816841800625 34628446003840 36741056768000 37315135780000 38210699038720 40980409472000 41175322240000 41620728370000 42619625850880 43285557504800 44899119616000 45926320960000 47763373798400 51225511840000 53274532313600 54106946881000 55405513606144 56123899520000 59704217248000 66593165392000 67633683601250 69256892007680 73482113536000 74630271560000 81960818944000 82350644480000 83241456740000 85239251701760 86571115009600 91852641920000 95526747596800 102451023680000 106549064627200 108213893762000 110811027212288 112247799040000 119408434496000 133186330784000 135267367202500 138513784015360 149260543120000 163921637888000 164701288960000 166482913480000 173142230019200 183705283840000 191053495193600 204902047360000 213098129254400 216427787524000 221622054424576 224495598080000 238816868992000 266372661568000 270534734405000 277027568030720 298521086240000 332965826960000 346284460038400 367410567680000 409804094720000 426196258508800 432855575048000 477633737984000 532745323136000 541069468810000 554055136061440 597042172480000 665931653920000 692568920076800 819608189440000 865711150096000 955267475968000 1065490646272000 1082138937620000 1108110272122880 1194084344960000 1331863307840000 1385137840153600 1731422300192000 2130981292544000 2164277875240000 2388168689920000 2663726615680000 2770275680307200 3462844600384000 4328555750480000 4776337379840000 5327453231360000 5540551360614400 6925689200768000 8657111500960000 10654906462720000 13851378401536000 17314223001920000 27702756803072000 34628446003840000 69256892007680000 138513784015360000
- Sum of all divisors σ(n): 388805126547444321
- Sum of proper divisors (its aliquot sum) s(n): 250291342532084321
- 138513784015360000 is an abundant number, because the sum of its proper divisors (250291342532084321) is greater than itself. Its abundance is 111777558516724321
Bases of 138513784015360000
- Binary: 1111011000001100110001101011111001011101100010000000000002
- Hexadecimal: 0x1EC198D7CBB1000
- Base-36: 11VV1DX6TM9S
Squares and roots of 138513784015360000
- 138513784015360000 squared (1385137840153600002) is 19186068362253799444715929600000000
- 138513784015360000 cubed (1385137840153600003) is 2657534929233154539508920573444443078656000000000000
-
138513784015360000 is a
perfect square number . Itssquare root is 372174400 -
The
cube root of 138513784015360000 is 517405.4487612513
Scales and comparisons
How big is 138513784015360000?- 138,513,784,015,360,000 seconds is equal to 4,404,309,880 years, 22 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,513,784,015,360,000 would take you about thirteen billion, two hundred twelve million, nine hundred twenty-nine thousand, six hundred forty-one 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 138513784015360000 cubic inches would be around 43117.1 feet tall.
Recreational maths with 138513784015360000
- 138513784015360000 backwards is 000063510487315831
- The number of decimal digits it has is: 18
- The sum of 138513784015360000's digits is 55
- 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 138513784015360000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138513784015360000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138513784015360000/
Chicago style:
Numbermatics. 2024. "Number 138513784015360000 - Facts about the integer". https://numbermatics.com/n/138513784015360000/
The information we have on file for 138513784015360000 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 138513784015360000, math, Factors of 138513784015360000, curriculum, school, college, exams, university, Prime factorization of 138513784015360000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred thirteen trillion, seven hundred eighty-four billion, fifteen million, three hundred sixty thousand.