82138103136000
82,138,103,136,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 82138103136000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
82138103136000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 82138103136000:
28 × 34 × 53 × 29 × 1033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 103 × 103 × 103)See below for interesting mathematical facts about the number 82138103136000 from the Numbermatics database.
Names of 82138103136000
- Cardinal: 82138103136000 can be written as Eighty-two trillion, one hundred thirty-eight billion, one hundred three million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 8.2138103136 × 1013
Factors of 82138103136000
Divisors of 82138103136000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 103 108 116 120 125 128 135 144 145 150 160 162 174 180 192 200 206 216 225 232 240 250 256 261 270 288 290 300 309 320 324 348 360 375 384 400 405 412 432 435 450 464 480 500 515 522 540 576 580 600 618 640 648 675 696 720 725 750 768 783 800 810 824 864 870 900 927 928 960 1000 1030 1044 1080 1125 1152 1160 1200 1236 1280 1296 1305 1350 1392 1440 1450 1500 1545 1566 1600 1620 1648 1728 1740 1800 1854 1856 1920 2000 2025 2060 2088 2160 2175 2250 2304 2320 2349 2400 2472 2575 2592 2610 2700 2781 2784 2880 2900 2987 3000 3090 3132 3200 3240 3296 3375 3456 3480 3600 3625 3708 3712 3840 3915 4000 4050 4120 4176 4320 4350 4500 4635 4640 4698 4800 4944 5150 5184 5220 5400 5562 5568 5760 5800 5974 6000 6180 6264 6400 6480 6525 6592 6750 6912 6960 7200 7250 7416 7424 7725 7830 8000 8100 8240 8343 8352 8640 8700 8961 9000 9270 9280 9396 9600 9888 10125 10300 10368 10440 10609 10800 10875 11124 11136 11520 11600 11745 11948 12000 12360 12528 12875 12960 13050 13184 13500 13905 13920 14400 14500 14832 14935 15450 15660 16000 16200 16480 16686 16704 17280 17400 17922 18000 18540 18560 18792 19200 19575 19776 20250 20600 20736 20880 21218 21600 21750 22248 22272 23175 23200 23490 23896 24000 24720 25056 25750 25920 26100 26368 26883 27000 27810 27840 28800 29000 29664 29870 30900 31320 31827 32000 32400 32625 32960 33372 33408 34560 34800 35844 36000 37080 37120 37584 38625 39150 39552 40500 41200 41715 41760 42436 43200 43500 44496 44805 46350 46400 46980 47792 48000 49440 50112 51500 51840 52200 53045 53766 54000 55620 55680 57600 58000 58725 59328 59740 61800 62640 63654 64800 65250 65920 66744 66816 69525 69600 71688 72000 74160 74675 75168 77250 78300 79104 80649 81000 82400 83430 83520 84872 86400 87000 88992 89610 92700 92800 93960 95481 95584 96000 97875 98880 100224 103000 103680 104400 106090 107532 108000 111240 111360 115875 116000 117450 118656 119480 123600 125280 127308 129600 130500 131840 133488 134415 139050 139200 143376 144000 148320 149350 150336 154500 156600 159135 161298 162000 164800 166860 167040 169744 172800 174000 177984 179220 185400 185600 187920 190962 191168 195750 197760 200448 206000 208575 208800 212180 215064 216000 222480 224025 231750 232000 234900 237312 238960 241947 247200 250560 254616 259200 261000 265225 266976 268830 278100 278400 286443 286752 288000 293625 296640 298700 300672 307661 309000 313200 318270 322596 324000 329600 333720 334080 339488 347625 348000 355968 358440 370800 373375 375840 381924 382336 391500 395520 403245 412000 417150 417600 424360 430128 432000 444960 448050 463500 464000 469800 477405 477920 483894 494400 501120 509232 518400 522000 530450 533952 537660 556200 556800 572886 573504 587250 593280 597400 601344 615322 618000 626400 636540 645192 648000 659200 667440 672075 678976 695250 696000 711936 716880 741600 746750 751680 763848 764672 783000 795675 806490 824000 834300 835200 848720 859329 860256 864000 889920 896100 922983 927000 928000 939600 954810 955840 967788 988800 1002240 1018464 1042875 1044000 1060900 1067904 1075320 1092727 1112400 1120125 1145772 1147008 1174500 1186560 1194800 1209735 1230644 1236000 1252800 1273080 1290384 1296000 1326125 1334880 1344150 1357952 1390500 1392000 1432215 1433760 1483200 1493500 1503360 1527696 1538305 1566000 1591350 1612980 1648000 1668600 1670400 1697440 1718658 1720512 1779840 1792200 1845966 1854000 1879200 1909620 1911680 1935576 1977600 2016225 2036928 2085750 2088000 2121800 2135808 2150640 2185454 2224800 2240250 2291544 2294016 2349000 2387025 2389600 2419470 2461288 2472000 2505600 2546160 2580768 2592000 2652250 2669760 2688300 2715904 2768949 2781000 2784000 2864430 2867520 2966400 2987000 3006720 3055392 3076610 3132000 3182700 3225960 3278181 3296000 3337200 3360375 3394880 3437316 3441024 3559680 3584400 3691932 3708000 3758400 3819240 3823360 3871152 3978375 4032450 4073856 4171500 4176000 4243600 4296645 4301280 4370908 4449600 4480500 4583088 4614915 4698000 4774050 4779200 4838940 4922576 4944000 5011200 5092320 5161536 5304500 5339520 5376600 5463635 5537898 5562000 5728860 5735040 5932800 5974000 6048675 6110784 6153220 6264000 6365400 6451920 6556362 6674400 6720750 6789760 6874632 6882048 7161075 7168800 7383864 7416000 7516800 7638480 7691525 7742304 7956750 8064900 8147712 8306847 8343000 8352000 8487200 8593290 8602560 8741816 8899200 8961000 9166176 9229830 9396000 9548100 9558400 9677880 9834543 9845152 9888000 10081125 10184640 10323072 10609000 10679040 10753200 10927270 11075796 11124000 11457720 11470080 11935125 11948000 12097350 12221568 12306440 12528000 12730800 12903840 13112724 13348800 13441500 13579520 13749264 13844745 14322150 14337600 14767728 14832000 15033600 15276960 15383050 15484608 15913500 16129800 16390905 16613694 16686000 16974400 17186580 17205120 17483632 17798400 17922000 18332352 18459660 18792000 19096200 19116800 19355760 19669086 19690304 20162250 20369280 20646144 21218000 21483225 21506400 21854540 22151592 22248000 22915440 23074575 23870250 23896000 24194700 24443136 24612880 24920541 25056000 25461600 25807680 26225448 26697600 26883000 27318175 27498528 27689490 28644300 28675200 29503629 29535456 29664000 30243375 30553920 30766100 30969216 31689083 31827000 32259600 32781810 33227388 33372000 33948800 34373160 34410240 34967264 35805375 35844000 36664704 36919320 37584000 38192400 38457625 38711520 39338172 39380608 40324500 40738560 41534235 42436000 42966450 43012800 43709080 44303184 44496000 45830880 46149150 47740500 47792000 48389400 49172715 49225760 49841082 50923200 51615360 52450896 53395200 53766000 54636350 54997056 55378980 57288600 57350400 59007258 59070912 60486750 61107840 61532200 61938432 63378166 63654000 64519200 65563620 66454776 66744000 67897600 68746320 69223725 69934528 71610750 71688000 73329408 73838640 75168000 76384800 76915250 77423040 78676344 78761216 80649000 81954525 83068470 84872000 85932900 86025600 87418160 88510887 88606368 88992000 91661760 92298300 95067249 95481000 95584000 96778800 98345430 98451520 99682164 101846400 103230720 104901792 107416125 107532000 109272700 109994112 110757960 114577200 115372875 118014516 118141824 120973500 122215680 123064400 124602705 126756332 127308000 129038400 131127240 132909552 133488000 136590875 137492640 138447450 139869056 143221500 143376000 147518145 147677280 152769600 153830500 154846080 157352688 158445415 161298000 163909050 166136940 169744000 171865800 172051200 174836320 177021774 177212736 183323520 184596600 190134498 190962000 193557600 196690860 196903040 199364328 203692800 207671175 209803584 214832250 215064000 218545400 219988224 221515920 229154400 230745750 236029032 236283648 241947000 245863575 246128800 249205410 253512664 254616000 258076800 262254480 265819104 266976000 273181750 274985280 276894900 279738112 285201747 286443000 286752000 295036290 295354560 305539200 307661000 309692160 314705376 316890830 322596000 327818100 332273880 339488000 343731600 346118625 349672640 354043548 354425472 366647040 369193200 380268996 381924000 387115200 393381720 393806080 398728656 409772625 415342350 419607168 429664500 430128000 437090800 442554435 443031840 458308800 461491500 472058064 475336245 483894000 491727150 492257600 498410820 507025328 509232000 516153600 524508960 531638208 546363500 549970560 553789800 570403494 572886000 590072580 590709120 611078400 615322000 623013525 629410752 633781660 645192000 655636200 664547760 687463200 692237250 699345280 708087096 708850944 737590725 738386400 760537992 763848000 774230400 786763440 792227075 797457312 819545250 830684700 839214336 855605241 859329000 860256000 874181600 885108870 886063680 916617600 922983000 944116128 950672490 967788000 983454300 984515200 996821640 1014050656 1018464000 1038355875 1049017920 1063276416 1092727000 1099941120 1107579600 1140806988 1145772000 1180145160 1181418240 1229317875 1230644000 1246027050 1258821504 1267563320 1290384000 1311272400 1329095520 1374926400 1384474500 1398690560 1416174192 1426008735 1475181450 1476772800 1521075984 1527696000 1548460800 1573526880 1584454150 1594914624 1639090500 1661369400 1711210482 1718658000 1748363200 1770217740 1772127360 1833235200 1845966000 1888232256 1901344980 1935576000 1966908600 1969030400 1993643280 2028101312 2076711750 2098035840 2126552832 2185454000 2212772175 2215159200 2281613976 2291544000 2360290320 2376681225 2458635750 2461288000 2492054100 2517643008 2535126640 2566815723 2580768000 2622544800 2658191040 2749852800 2768949000 2832348384 2852017470 2950362900 2953545600 3042151968 3055392000 3115067625 3147053760 3168908300 3189829248 3278181000 3322738800 3422420964 3437316000 3496726400 3540435480 3544254720 3687953625 3691932000 3776464512 3802689960 3871152000 3933817200 3961135375 3987286560 4056202624 4153423500 4196071680 4278026205 4370908000 4425544350 4430318400 4563227952 4583088000 4720580640 4753362450 4917271500 4922576000 4984108200 5070253280 5133631446 5245089600 5316382080 5499705600 5537898000 5664696768 5704034940 5900725800 5907091200 6084303936 6230135250 6294107520 6337816600 6379658496 6556362000 6645477600 6844841928 6874632000 6993452800 7080870960 7130043675 7375907250 7383864000 7552929024 7605379920 7742304000 7867634400 7922270750 7974573120 8112405248 8306847000 8556052410 8741816000 8851088700 8860636800 9126455904 9166176000 9441161280 9506724900 9834543000 9845152000 9968216400 10140506560 10267262892 10490179200 10632764160 11063860875 11075796000 11329393536 11408069880 11801451600 11883406125 12168607872 12460270500 12588215040 12675633200 12834078615 13112724000 13290955200 13689683856 13749264000 14161741920 14260087350 14751814500 14767728000 15210759840 15735268800 15844541500 15949146240 16613694000 17112104820 17483632000 17702177400 17721273600 18252911808 18882322560 19013449800 19669086000 19936432800 20281013120 20534525784 20980358400 21390131025 22127721750 22151592000 22658787072 22816139760 23602903200 23766812250 24337215744 24920541000 25351266400 25668157230 26225448000 26581910400 27379367712 27498528000 28323483840 28520174700 29503629000 29535456000 30421519680 31470537600 31689083000 31898292480 33227388000 34224209640 34967264000 35404354800 35650218375 36505823616 37764645120 38026899600 39338172000 39872865600 40562026240 41069051568 42780262050 44255443500 44303184000 45632279520 47205806400 47533624500 49841082000 50702532800 51336314460 52450896000 53163820800 54758735424 56646967680 57040349400 59007258000 60843039360 62941075200 63378166000 64170393075 66454776000 68448419280 70808709600 71300436750 73011647232 76053799200 78676344000 79745731200 82138103136 85560524100 88510887000 88606368000 91264559040 94411612800 95067249000 99682164000 101405065600 102672628920 104901792000 106950655125 109517470848 113293935360 114080698800 118014516000 121686078720 126756332000 128340786150 132909552000 136896838560 141617419200 142600873500 152107598400 157352688000 159491462400 164276206272 171121048200 177021774000 182529118080 188823225600 190134498000 199364328000 202810131200 205345257840 213901310250 219034941696 228161397600 236029032000 253512664000 256681572300 265819104000 273793677120 283234838400 285201747000 304215196800 314705376000 320851965375 328552412544 342242096400 354043548000 365058236160 380268996000 398728656000 410690515680 427802620500 456322795200 472058064000 507025328000 513363144600 547587354240 566469676800 570403494000 608430393600 641703930750 657104825088 684484192800 708087096000 760537992000 797457312000 821381031360 855605241000 912645590400 944116128000 1014050656000 1026726289200 1095174708480 1140806988000 1283407861500 1368968385600 1416174192000 1521075984000 1642762062720 1711210482000 1825291180800 2053452578400 2281613976000 2566815723000 2737936771200 2832348384000 3042151968000 3285524125440 3422420964000 4106905156800 4563227952000 5133631446000 5475873542400 6844841928000 8213810313600 9126455904000 10267262892000 13689683856000 16427620627200 20534525784000 27379367712000 41069051568000 82138103136000
- Sum of all divisors σ(n): 319301417635200
- Sum of proper divisors (its aliquot sum) s(n): 237163314499200
- 82138103136000 is an abundant number, because the sum of its proper divisors (237163314499200) is greater than itself. Its abundance is 155025211363200
Bases of 82138103136000
- Binary: 100101010110100010001000111010110111111000000002
- Hexadecimal: 0x4AB44475BF00
- Base-36: T45Q1V400
Squares and roots of 82138103136000
- 82138103136000 squared (821381031360002) is 6746667986780173034496000000
- 82138103136000 cubed (821381031360003) is 554158510922499337267358533779456000000000
-
The
square root of 82138103136000 is 9063007.4001955885 -
The
cube root of 82138103136000 is 43469.1908740655
Scales and comparisons
How big is 82138103136000?- 82,138,103,136,000 seconds is equal to 2,611,737 years, 31 weeks, 5 days.
-
To count from 1 to 82,138,103,136,000 would take you about six million, five hundred twenty-nine thousand, three hundred forty-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 82138103136000 cubic inches would be around 3622.4 feet tall.
Recreational maths with 82138103136000
- 82138103136000 backwards is 00063130183128
- 82138103136000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82138103136000's digits is 36
- More coming soon!
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The information we have on file for 82138103136000 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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