82857535968000
82,857,535,968,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82857535968000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
82857535968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 82857535968000:
28 × 3 × 53 × 17 × 37 × 433 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 37 × 433 × 3169)See below for interesting mathematical facts about the number 82857535968000 from the Numbermatics database.
Names of 82857535968000
- Cardinal: 82857535968000 can be written as Eighty-two trillion, eight hundred fifty-seven billion, five hundred thirty-five million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 8.2857535968 × 1013
Factors of 82857535968000
Divisors of 82857535968000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 48 50 51 60 64 68 74 75 80 85 96 100 102 111 120 125 128 136 148 150 160 170 185 192 200 204 222 240 250 255 256 272 296 300 320 340 370 375 384 400 408 425 433 444 480 500 510 544 555 592 600 629 640 680 740 750 768 800 816 850 866 888 925 960 1000 1020 1088 1110 1184 1200 1258 1275 1280 1299 1360 1480 1500 1600 1632 1700 1732 1776 1850 1887 1920 2000 2040 2125 2165 2176 2220 2368 2400 2516 2550 2598 2720 2775 2960 3000 3145 3169 3200 3264 3400 3464 3552 3700 3774 3840 4000 4080 4250 4330 4352 4440 4625 4736 4800 5032 5100 5196 5440 5550 5920 6000 6290 6338 6375 6400 6495 6528 6800 6928 7104 7361 7400 7548 8000 8160 8500 8660 8880 9250 9435 9472 9507 9600 10064 10200 10392 10825 10880 11100 11840 12000 12580 12676 12750 12990 13056 13600 13856 13875 14208 14722 14800 15096 15725 15845 16000 16021 16320 17000 17320 17760 18500 18870 19014 19200 20128 20400 20784 21650 21760 22083 22200 23680 24000 25160 25352 25500 25980 27200 27712 27750 28416 29444 29600 30192 31450 31690 32000 32042 32475 32640 34000 34640 35520 36805 37000 37740 38028 40256 40800 41568 43300 44166 44400 47175 47360 47535 48000 48063 50320 50704 51000 51960 53873 54125 54400 55424 55500 58888 59200 60384 62900 63380 64084 64950 65280 68000 69280 71040 73610 74000 75480 76056 78625 79225 80105 80512 81600 83136 86600 88332 88800 94350 95070 96000 96126 100640 101408 102000 103920 107746 108250 108800 110415 110848 111000 117253 117776 118400 120768 125800 126760 128168 129900 136000 138560 142080 147220 148000 150960 152112 157250 158450 160210 161024 161619 162375 163200 166272 173200 176664 177600 184025 188700 190140 192252 201280 202816 204000 207840 215492 216500 220830 222000 234506 235552 235875 236800 237675 240315 241536 251600 253520 256336 259800 269365 272000 272357 277120 294440 296000 301920 304224 314500 316900 320420 323238 324750 326400 332544 346400 351759 353328 355200 368050 377400 380280 384504 396125 400525 402560 405632 408000 415680 430984 433000 441660 444000 469012 471104 471750 475350 480630 483072 503200 507040 512672 519600 538730 544000 544714 552075 554240 586265 588880 592000 603840 608448 629000 633800 640840 646476 649500 692800 703518 706656 710400 736100 754800 760560 769008 792250 801050 805120 808095 811264 816000 817071 831360 861968 866000 883320 888000 920125 938024 942208 943500 950700 961260 1006400 1014080 1025344 1039200 1077460 1089428 1104150 1172530 1177760 1184000 1188375 1201575 1207680 1216896 1258000 1267600 1281680 1292952 1299000 1346825 1361785 1372177 1385600 1407036 1413312 1472200 1509600 1521120 1538016 1584500 1602100 1616190 1632000 1634142 1662720 1723936 1732000 1758795 1766640 1776000 1840250 1876048 1884416 1887000 1901400 1922520 1993301 2002625 2012800 2028160 2050688 2078400 2154920 2178856 2208300 2345060 2355520 2376750 2403150 2415360 2433792 2516000 2535200 2563360 2585904 2598000 2693650 2723570 2744354 2760375 2771200 2814072 2826624 2931325 2944400 3019200 3042240 3076032 3169000 3204200 3232380 3268284 3447872 3464000 3517590 3533280 3552000 3680500 3752096 3774000 3802800 3845040 3986602 4005250 4025600 4040475 4056320 4085355 4101376 4116531 4156800 4309840 4357712 4416600 4690120 4711040 4753500 4806300 5032000 5070400 5126720 5171808 5196000 5387300 5447140 5488708 5520750 5628144 5653248 5862650 5888800 5979903 6007875 6038400 6084480 6152064 6338000 6408400 6464760 6536568 6734125 6808925 6860885 6895744 6928000 7035180 7066560 7361000 7504192 7548000 7605600 7690080 7973204 8010500 8080950 8170710 8233062 8313600 8619680 8715424 8793975 8833200 9380240 9422080 9507000 9612600 9966505 10064000 10140800 10253440 10343616 10392000 10774600 10894280 10977416 11041500 11256288 11725300 11777600 11959806 12015750 12076800 12168960 12304128 12676000 12816800 12929520 13073136 13468250 13617850 13721770 13791488 13856000 14070360 14133120 14656625 14722000 15008384 15096000 15211200 15380160 15946408 16021000 16161900 16341420 16466124 17239360 17430848 17587950 17666400 18760480 19014000 19225200 19933010 20128000 20202375 20281600 20426775 20506880 20582655 20687232 20784000 21549200 21788560 21954832 22083000 22512576 23327009 23450600 23555200 23919612 24031500 25352000 25633600 25859040 26146272 26936500 27235700 27443540 28140720 28266240 29313250 29444000 29899515 30016768 30192000 30422400 30760320 31892816 32042000 32323800 32682840 32932248 34044625 34304425 34478720 34861696 35175900 35332800 37520960 38028000 38450400 39866020 40404750 40853550 41165310 41374464 41568000 43098400 43577120 43909664 43969875 44166000 45025152 46654018 46901200 47110400 47839224 48063000 49832525 50704000 50770549 51267200 51718080 52292544 53873000 54471400 54887080 56281440 58626500 58888000 59799030 60384000 60844800 61520640 63785632 64084000 64647600 65365680 65864496 68089250 68608850 68957440 69723392 69981027 70351800 70665600 75041920 76056000 76900800 79732040 80809500 81707100 82330620 86196800 87154240 87819328 87939750 88332000 90050304 93308036 93802400 95678448 96126000 99665050 101408000 101541098 102133875 102534400 102913275 103436160 104585088 107746000 108942800 109774160 112562880 116635045 117253000 117776000 119598060 127571264 128168000 129295200 130731360 131728992 136178500 137217700 139962054 140703600 141331200 149497575 150083840 152112000 152311647 153801600 159464080 161619000 163414200 164661240 171522125 172393600 174308480 175638656 175879500 176664000 186616072 187604800 191356896 192252000 199330100 203082196 204267750 205826550 206872320 209170176 215492000 217885600 219548320 225125760 233270090 234506000 235552000 239196120 249162625 253852745 255142528 256336000 258590400 261462720 263457984 272357000 274435400 279924108 281407200 298995150 304224000 304623294 307603200 318928160 323238000 326828400 329322480 343044250 344787200 348616960 349905135 351277312 351759000 353328000 373232144 375209600 382713792 384504000 398660200 406164392 408535500 411653100 430984000 435771200 439096640 450251520 466540180 469012000 478392240 498325250 507705490 510285056 512672000 514566375 517180800 522925440 526915968 544714000 548870800 559848216 562814400 583175225 597990300 609246588 637856320 646476000 653656800 658644960 686088500 699810270 703518000 706656000 746464288 747487875 750419200 761558235 765427584 769008000 797320400 812328784 817071000 823306200 861968000 863099333 871542400 878193280 933080360 938024000 956784480 996650500 1015410980 1029132750 1034361600 1045850880 1053831936 1089428000 1097741600 1119696432 1125628800 1166350450 1195980600 1218493176 1269263725 1275712640 1292952000 1307313600 1317289920 1372177000 1399620540 1407036000 1492928576 1494975750 1523116470 1530855168 1538016000 1594640800 1624657568 1634142000 1646612400 1723936000 1726198666 1743084800 1749525675 1756386560 1866160720 1876048000 1913568960 1993301000 2030821960 2058265500 2178856000 2195483200 2239392864 2251257600 2332700900 2391961200 2436986352 2538527450 2551425280 2585904000 2589297999 2614627200 2634579840 2744354000 2799241080 2814072000 2915876125 2985857152 2989951500 3046232940 3189281600 3249315136 3268284000 3293224800 3452397332 3499051350 3732321440 3752096000 3807791175 3827137920 3986602000 4061643920 4116531000 4315496665 4357712000 4390966400 4478785728 4665401800 4783922400 4873972704 5077054900 5171808000 5178595998 5229254400 5269159680 5488708000 5598482160 5628144000 5831752250 5971714304 5979903000 6092465880 6346318625 6378563200 6498630272 6536568000 6586449600 6904794664 6998102700 7464642880 7615582350 7654275840 7973204000 8123287840 8233062000 8630993330 8715424000 8747628375 8781932800 8957571456 9330803600 9567844800 9747945408 10154109800 10357191996 10977416000 11196964320 11256288000 11663504500 11959806000 12184931760 12692637250 12757126400 12946489995 12997260544 13073136000 13172899200 13809589328 13996205400 14929285760 15231164700 15946408000 16246575680 16466124000 17261986660 17495256750 17915142912 18661607200 19038955875 19135689600 19495890816 20308219600 20714383992 21577483325 21954832000 22393928640 23327009000 23919612000 24369863520 25385274500 25892979990 26146272000 26345798400 27619178656 27992410800 29858571520 30462329400 31892816000 32493151360 32932248000 34523973320 34990513500 37323214400 38077911750 38271379200 38991781632 40616439200 41428767984 43154966650 43909664000 44787857280 46654018000 47839224000 48739727040 50770549000 51785959980 55238357312 55984821600 60924658800 63785632000 64732449975 64986302720 65864496000 69047946640 69981027000 74646428800 76155823500 81232878400 82857535968 86309933300 89575714560 93308036000 95678448000 97479454080 101541098000 103571919960 107887416625 110476714624 111969643200 121849317600 129464899950 131728992000 138095893280 139962054000 149292857600 152311647000 162465756800 165715071936 172619866600 186616072000 191356896000 194958908160 203082196000 207143839920 215774833250 220953429248 223939286400 243698635200 258929799900 276191786560 279924108000 304623294000 323662249875 324931513600 331430143872 345239733200 373232144000 406164392000 414287679840 431549666500 447878572800 487397270400 517859599800 552383573120 559848216000 609246588000 647324499750 662860287744 690479466400 746464288000 812328784000 828575359680 863099333000 974794540800 1035719199600 1104767146240 1119696432000 1218493176000 1294648999500 1380958932800 1624657568000 1657150719360 1726198666000 2071438399200 2239392864000 2436986352000 2589297999000 2761917865600 3314301438720 3452397332000 4142876798400 4873972704000 5178595998000 5523835731200 6904794664000 8285753596800 10357191996000 13809589328000 16571507193600 20714383992000 27619178656000 41428767984000 82857535968000
- Sum of all divisors σ(n): 300061712321280
- Sum of proper divisors (its aliquot sum) s(n): 217204176353280
- 82857535968000 is an abundant number, because the sum of its proper divisors (217204176353280) is greater than itself. Its abundance is 134346640385280
Bases of 82857535968000
- Binary: 100101101011011110001011111111110010011000000002
- Hexadecimal: 0x4B5BC5FF9300
- Base-36: TDC85LHXC
Squares and roots of 82857535968000
- 82857535968000 squared (828575359680002) is 6865371266688413697024000000
- 82857535968000 cubed (828575359680003) is 568847746663308958150029934559232000000000
-
The
square root of 82857535968000 is 9102611.4916544691 -
The
cube root of 82857535968000 is 43595.7350652423
Scales and comparisons
How big is 82857535968000?- 82,857,535,968,000 seconds is equal to 2,634,613 years, 18 weeks, 21 hours, 20 minutes.
-
To count from 1 to 82,857,535,968,000 would take you about six million, five hundred eighty-six thousand, five hundred thirty-three 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 82857535968000 cubic inches would be around 3633 feet tall.
Recreational maths with 82857535968000
- 82857535968000 backwards is 00086953575828
- The number of decimal digits it has is: 14
- The sum of 82857535968000's digits is 66
- More coming soon!
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The information we have on file for 82857535968000 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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