82048353504000
82,048,353,504,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 82048353504000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
82048353504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 82048353504000:
28 × 3 × 53 × 133 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 73 × 73 × 73)See below for interesting mathematical facts about the number 82048353504000 from the Numbermatics database.
Names of 82048353504000
- Cardinal: 82048353504000 can be written as Eighty-two trillion, forty-eight billion, three hundred fifty-three million, five hundred four thousand.
Scientific notation
- Scientific notation: 8.2048353504 × 1013
Factors of 82048353504000
Divisors of 82048353504000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 73 75 78 80 96 100 104 120 125 128 130 146 150 156 160 169 192 195 200 208 219 240 250 256 260 292 300 312 320 325 338 365 375 384 390 400 416 438 480 500 507 520 584 600 624 640 650 676 730 750 768 780 800 832 845 876 949 960 975 1000 1014 1040 1095 1168 1200 1248 1280 1300 1352 1460 1500 1560 1600 1625 1664 1690 1752 1825 1898 1920 1950 2000 2028 2080 2190 2197 2336 2400 2496 2535 2600 2704 2847 2920 3000 3120 3200 3250 3328 3380 3504 3650 3796 3840 3900 4000 4056 4160 4225 4380 4394 4672 4745 4800 4875 4992 5070 5200 5329 5408 5475 5694 5840 6000 6240 6400 6500 6591 6760 7008 7300 7592 7800 8000 8112 8320 8450 8760 8788 9125 9344 9490 9600 9750 9984 10140 10400 10658 10816 10950 10985 11388 11680 12000 12337 12480 12675 13000 13182 13520 14016 14235 14600 15184 15600 15987 16000 16224 16640 16900 17520 17576 18250 18688 18980 19200 19500 20280 20800 21125 21316 21632 21900 21970 22776 23360 23725 24000 24674 24960 25350 26000 26364 26645 27040 27375 28032 28470 29200 30368 31200 31974 32000 32448 32955 33800 35040 35152 36500 37011 37960 39000 40560 41600 42250 42632 43264 43800 43940 45552 46720 47450 48000 49348 49920 50700 52000 52728 53290 54080 54750 54925 56064 56940 58400 60736 61685 62400 63375 63948 64896 65910 67600 69277 70080 70304 71175 73000 74022 75920 78000 79935 81120 83200 84500 85264 87600 87880 91104 93440 94900 96000 98696 101400 104000 105456 106580 108160 109500 109850 113880 116800 118625 121472 123370 124800 126750 127896 129792 131820 133225 135200 138554 140160 140608 142350 146000 148044 151840 156000 159870 160381 162240 164775 169000 170528 175200 175760 182208 185055 189800 197392 202800 207831 208000 210912 213160 216320 219000 219700 227760 233600 237250 242944 246740 249600 253500 255792 263640 266450 270400 274625 277108 280320 281216 284700 292000 296088 303680 308425 312000 319740 320762 324480 329550 338000 341056 346385 350400 351520 355875 364416 370110 379600 389017 394784 399675 405600 415662 416000 421824 426320 438000 439400 455520 467200 474500 481143 493480 507000 511584 527280 532900 540800 549250 554216 562432 569400 584000 592176 607360 616850 624000 639480 641524 648960 659100 666125 676000 682112 692770 700800 703040 711750 728832 740220 759200 778034 789568 799350 801905 811200 823875 831324 843648 852640 876000 878800 900601 911040 925275 949000 962286 986960 1014000 1023168 1039155 1054560 1065800 1081600 1098500 1108432 1138800 1167051 1168000 1184352 1214720 1233700 1248000 1278960 1283048 1318200 1332250 1352000 1364224 1385540 1401600 1406080 1423500 1480440 1518400 1542125 1556068 1579136 1598700 1603810 1622400 1647750 1662648 1687296 1705280 1731925 1752000 1757600 1801202 1822080 1850550 1898000 1924572 1945085 1973920 1998375 2028000 2046336 2078310 2109120 2131600 2197000 2216864 2277600 2334102 2336000 2368704 2405715 2467400 2557920 2566096 2636400 2664500 2701803 2704000 2771080 2812160 2847000 2960880 3036800 3084250 3112136 3158272 3197400 3207620 3244800 3295500 3325296 3410560 3463850 3504000 3515200 3602404 3644160 3701100 3796000 3849144 3890170 3947840 3996750 4009525 4056000 4092672 4156620 4218240 4263200 4394000 4433728 4503005 4555200 4626375 4668204 4737408 4811430 4934800 5057221 5115840 5132192 5195775 5272800 5329000 5403606 5408000 5542160 5694000 5835255 5921760 6073600 6168500 6224272 6394800 6415240 6591000 6650592 6821120 6927700 7008000 7030400 7204808 7402200 7592000 7698288 7780340 7895680 7993500 8019050 8112000 8313240 8436480 8526400 8659625 8788000 8867456 9006010 9110400 9252750 9336408 9474816 9622860 9725425 9869600 10114442 10231680 10264384 10391550 10545600 10658000 10807212 11084320 11388000 11670510 11707813 11843520 12028575 12337000 12448544 12789600 12830480 13182000 13301184 13509015 13855400 14060800 14409616 14804400 15171663 15184000 15396576 15560680 15791360 15987000 16038100 16224000 16626480 17052800 17319250 17576000 17734912 18012020 18220800 18505500 18672816 19245720 19450850 19739200 20047625 20228884 20463360 20528768 20783100 21091200 21316000 21614424 22168640 22515025 22776000 23341020 23415626 23687040 24057150 24674000 24897088 25286105 25579200 25660960 25978875 26364000 26602368 27018030 27710800 28819232 29176275 29608800 30343326 30368000 30793152 31121360 31974000 32076200 33252960 34105600 34638500 35123439 35152000 36024040 37011000 37345632 38491440 38901700 39478400 40095250 40457768 41057536 41566200 42182400 42632000 43228848 44337280 45030050 45552000 46682040 46831252 47374080 48114300 48627125 49348000 49794176 50572210 51158400 51321920 51957750 52728000 53204736 54036060 55421600 57638464 58352550 58539065 59217600 60142875 60686652 61586304 62242720 63948000 64152400 65743873 66505920 67545075 69277000 70246878 70304000 72048080 74022000 74691264 75858315 76982880 77803400 78956800 80190500 80915536 83132400 85264000 86457696 88674560 90060100 91104000 93364080 93662504 96228600 97254250 98696000 99588352 101144420 102316800 102643840 103915500 105456000 108072120 110843200 112575125 115276928 116705100 117078130 118435200 120285750 121373304 123172608 124485440 126430525 127896000 128304800 131487746 133011840 135090150 138554000 140493756 144096160 145881375 148044000 149382528 151716630 153965760 155606800 160381000 161831072 166264800 170528000 172915392 175617195 180120200 186728160 187325008 192457200 194508500 197231619 197392000 202288840 205287680 207831000 210912000 216144240 221686400 225150250 230553856 233410200 234156260 236870400 240571500 242746608 248970880 252861050 255792000 256609600 262975492 266023680 270180300 277108000 280987512 288192320 291762750 292695325 296088000 298765056 303433260 307931520 311213600 320762000 323662144 328719365 332529600 337725375 345830784 351234390 360240400 373456320 374650016 379291575 384914400 389017000 394463238 394784000 404577680 415662000 432288480 443372800 450300500 466820400 468312520 481143000 485493216 497941760 505722100 511584000 513219200 525950984 540360600 554216000 561975024 576384640 583525500 585390650 592176000 606866520 615863040 622427200 632152625 641524000 647324288 657438730 665059200 675450750 691661568 702468780 720480800 746912640 749300032 758583150 769828800 778034000 788926476 809155360 831324000 854670349 864576960 878085975 900601000 933640800 936625040 962286000 970986432 986158095 1011444200 1026438400 1051901968 1080721200 1108432000 1123950048 1152769280 1167051000 1170781300 1184352000 1213733040 1244854400 1264305250 1283048000 1294648576 1314877460 1330118400 1350901500 1404937560 1440961600 1463476625 1493825280 1498600064 1517166300 1539657600 1556068000 1577852952 1618310720 1643596825 1662648000 1709340698 1729153920 1756171950 1801202000 1867281600 1873250080 1896457875 1924572000 1941972864 1972316190 2022888400 2103803936 2161442400 2216864000 2247900096 2334102000 2341562600 2427466080 2489708800 2528610500 2564011047 2566096000 2629754920 2701803000 2809875120 2881923200 2926953250 2997200128 3034332600 3079315200 3112136000 3155705904 3236621440 3287193650 3325296000 3418681396 3458307840 3512343900 3602404000 3734563200 3746500160 3792915750 3849144000 3883945728 3944632380 4045776800 4207607872 4273351745 4322884800 4390429875 4495800192 4668204000 4683125200 4854932160 4930790475 5057221000 5128022094 5132192000 5259509840 5403606000 5619750240 5763846400 5853906500 6068665200 6224272000 6311411808 6473242880 6574387300 6650592000 6837362792 7024687800 7204808000 7469126400 7493000320 7585831500 7698288000 7889264760 8091553600 8217984125 8415215744 8546703490 8645769600 8780859750 8991600384 9336408000 9366250400 9709864320 9861580950 10114442000 10256044188 10519019680 10807212000 11239500480 11707813000 12137330400 12448544000 12622823616 12820055235 13148774600 13674725584 14049375600 14409616000 14986000640 15171663000 15396576000 15778529520 16183107200 16435968250 16830431488 17093406980 17291539200 17561719500 18672816000 18732500800 19419728640 19723161900 20228884000 20512088376 21038039360 21366758725 21614424000 22479000960 23415626000 24274660800 24653952375 25245647232 25640110470 26297549200 27349451168 28098751200 28819232000 30343326000 31557059040 32366214400 32871936500 34186813960 35123439000 37345632000 37465001600 39446323800 40457768000 41024176752 42076078720 42733517450 43228848000 44958001920 46831252000 48549321600 49307904750 50491294464 51280220940 52595098400 54698902336 56197502400 60686652000 63114118080 64100276175 65743873000 68373627920 70246878000 74930003200 78892647600 80915536000 82048353504 84152157440 85467034900 86457696000 93662504000 97098643200 98615809500 102560441880 105190196800 106833793625 109397804672 112395004800 121373304000 126228236160 128200552350 131487746000 136747255840 140493756000 157785295200 161831072000 164096707008 170934069800 187325008000 197231619000 205120883760 210380393600 213667587250 218795609344 224790009600 242746608000 252456472320 256401104700 262975492000 273494511680 280987512000 315570590400 320501380875 328193414016 341868139600 374650016000 394463238000 410241767520 420760787200 427335174500 485493216000 512802209400 525950984000 546989023360 561975024000 631141180800 641002761750 656386828032 683736279200 788926476000 820483535040 854670349000 1025604418800 1051901968000 1093978046720 1123950048000 1262282361600 1282005523500 1367472558400 1577852952000 1640967070080 1709340698000 2051208837600 2103803936000 2564011047000 2734945116800 3155705904000 3281934140160 3418681396000 4102417675200 5128022094000 5469890233600 6311411808000 6837362792000 8204835350400 10256044188000 13674725584000 16409670700800 20512088376000 27349451168000 41024176752000 82048353504000
- Sum of all divisors σ(n): 299323886534400
- Sum of proper divisors (its aliquot sum) s(n): 217275533030400
- 82048353504000 is an abundant number, because the sum of its proper divisors (217275533030400) is greater than itself. Its abundance is 135227179526400
Bases of 82048353504000
- Binary: 100101010011111010111101111011100001011000000002
- Hexadecimal: 0x4A9F5EF70B00
- Base-36: T30HR90QO
Squares and roots of 82048353504000
- 82048353504000 squared (820483535040002) is 6731932312717349078016000000
- 82048353504000 cubed (820483535040003) is 552343962158833331986825242968064000000000
-
The
square root of 82048353504000 is 9058054.6202813327 -
The
cube root of 82048353504000 is 43453.3526473245
Scales and comparisons
How big is 82048353504000?- 82,048,353,504,000 seconds is equal to 2,608,883 years, 44 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 82,048,353,504,000 would take you about six million, five hundred twenty-two thousand, two hundred nine 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 82048353504000 cubic inches would be around 3621.1 feet tall.
Recreational maths with 82048353504000
- 82048353504000 backwards is 00040535384028
- The number of decimal digits it has is: 14
- The sum of 82048353504000's digits is 42
- 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 82048353504000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 82048353504000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/82048353504000/
Chicago style:
Numbermatics. 2024. "Number 82048353504000 - Facts about the integer". https://numbermatics.com/n/82048353504000/
The information we have on file for 82048353504000 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 82048353504000, math, Factors of 82048353504000, curriculum, school, college, exams, university, Prime factorization of 82048353504000, STEM, science, technology, engineering, physics, economics, calculator, eighty-two trillion, forty-eight billion, three hundred fifty-three million, five hundred four thousand.