828820200120000
828,820,200,120,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 828820200120000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1260 divisors.
828820200120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 828820200120000:
26 × 3 × 54 × 112 × 3312 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 331 × 331 × 521)See below for interesting mathematical facts about the number 828820200120000 from the Numbermatics database.
Names of 828820200120000
- Cardinal: 828820200120000 can be written as Eight hundred twenty-eight trillion, eight hundred twenty billion, two hundred million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 8.2882020012 × 1014
Factors of 828820200120000
Divisors of 828820200120000
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 132 150 160 165 176 192 200 220 240 242 250 264 275 300 320 330 331 352 363 375 400 440 480 484 500 521 528 550 600 605 625 660 662 704 726 750 800 825 880 960 968 993 1000 1042 1056 1100 1200 1210 1250 1320 1324 1375 1452 1500 1563 1600 1650 1655 1760 1815 1875 1936 1986 2000 2084 2112 2200 2400 2420 2500 2605 2640 2648 2750 2904 3000 3025 3126 3300 3310 3520 3630 3641 3750 3872 3972 4000 4125 4168 4400 4800 4840 4965 5000 5210 5280 5296 5500 5731 5808 6000 6050 6252 6600 6620 6875 7260 7282 7500 7744 7815 7944 8000 8250 8275 8336 8800 9075 9680 9930 10000 10420 10560 10592 10923 11000 11462 11616 12000 12100 12504 13025 13200 13240 13750 14520 14564 15000 15125 15630 15888 16500 16550 16672 17193 17600 18150 18205 19360 19860 20000 20625 20840 21184 21846 22000 22924 23232 24000 24200 24825 25008 26050 26400 26480 27500 28655 29040 29128 30000 30250 31260 31776 33000 33100 33344 34386 36300 36410 38720 39075 39720 40000 40051 41250 41375 41680 43692 44000 45375 45848 48400 49650 50016 52100 52800 52960 54615 55000 57310 58080 58256 60000 60500 62520 63041 63552 65125 66000 66200 68772 72600 72820 75625 78150 79440 80102 82500 82750 83360 85965 87384 88000 90750 91025 91696 96800 99300 100032 104200 105920 109230 109561 110000 114620 116160 116512 120000 120153 121000 124125 125040 126082 130250 132000 132400 137544 143275 145200 145640 151250 156300 158880 160204 165000 165500 166720 171930 172451 174768 181500 182050 183392 189123 193600 195375 198600 200255 206875 208400 218460 219122 220000 226875 229240 233024 240306 242000 248250 250080 252164 260500 264000 264800 273075 275088 286550 290400 291280 302500 312600 315205 317760 320408 325625 328683 330000 331000 343860 344902 349536 363000 364100 366784 378246 390750 397200 400510 413750 416800 429825 436920 438244 440000 453750 455125 458480 480612 484000 496500 500160 504328 517353 521000 529600 546150 547805 550176 573100 580800 582560 600765 605000 620625 625200 630410 640816 651250 657366 660000 662000 687720 689804 699072 716375 726000 728200 756492 781500 794400 801020 827500 833600 859650 862255 873840 876488 907500 910250 916960 945615 961224 968000 976875 993000 1001275 1008656 1034706 1042000 1092300 1095610 1100352 1146200 1165120 1201530 1205171 1210000 1241250 1250400 1260820 1281632 1302500 1314732 1320000 1324000 1365375 1375440 1379608 1432750 1452000 1456400 1512984 1563000 1576025 1588800 1602040 1643415 1655000 1719300 1724510 1747680 1752976 1815000 1820500 1833920 1891230 1896961 1922448 1953750 1986000 2002550 2017312 2069412 2084000 2149125 2184600 2191220 2275625 2292400 2403060 2410342 2420000 2482500 2500800 2521640 2563264 2586765 2605000 2629464 2648000 2730750 2739025 2750880 2759216 2865500 2904000 2912800 3003825 3025968 3126000 3152050 3204080 3286830 3310000 3438600 3449020 3495360 3505952 3581875 3615513 3630000 3641000 3782460 3793922 3844896 3907500 3972000 4005100 4034624 4138824 4168000 4298250 4311275 4369200 4382440 4551250 4584800 4728075 4806120 4820684 4840000 4965000 5006375 5043280 5173530 5210000 5258928 5461500 5478050 5501760 5518432 5690883 5731000 5825600 6007650 6025855 6051936 6252000 6304100 6408160 6573660 6620000 6826875 6877200 6898040 7011904 7163750 7231026 7260000 7282000 7564920 7587844 7689792 7815000 7880125 7944000 8010200 8217075 8277648 8596500 8622550 8738400 8764880 9102500 9169600 9456150 9484805 9612240 9641368 9930000 10012750 10086560 10347060 10420000 10517856 10745625 10923000 10956100 11036864 11381766 11462000 12015300 12051710 12103872 12504000 12608200 12816320 12933825 13147320 13240000 13256881 13653750 13695125 13754400 13796080 14327500 14462052 14520000 14564000 15019125 15129840 15175688 15630000 15760250 16020400 16434150 16555296 17193000 17245100 17476800 17529760 18077565 18205000 18912300 18969610 19224480 19282736 19860000 20025500 20173120 20694120 20840000 20866571 21035712 21491250 21556375 21846000 21912200 22763532 22924000 23640375 24030600 24103420 25031875 25216400 25867650 26294640 26513762 27307500 27390250 27508800 27592160 28454415 28655000 28924104 29128000 30038250 30129275 30259680 30351376 31260000 31520500 32040800 32868300 33110592 34386000 34490200 35059520 36155130 36410000 37824600 37939220 38448960 38565472 39400625 39720000 39770643 40051000 41085375 41388240 41733142 42982500 43112750 43692000 43824400 45527064 45848000 47280750 47424025 48061200 48206840 50063750 50432800 51735300 52589280 53027524 54615000 54780500 55184320 56908830 57081281 57310000 57848208 60076500 60258550 60519360 60702752 62520000 62599713 63041000 64081600 64669125 65736600 66284405 68475625 68772000 68980400 72310260 72820000 75095625 75649200 75878440 77130944 78801250 79541286 80102000 82170750 82776480 83466284 85965000 86225500 87384000 87648800 90387825 91054128 94561500 94848050 96122400 96413680 100127500 100865600 103470600 104332855 105178560 106055048 107781875 109230000 109561000 113817660 114162562 114620000 115696416 118201875 120153000 120517100 121405504 125199426 126082000 129338250 131473200 132568810 136951250 137544000 137960800 142272075 144620520 145640000 150191250 150646375 151298400 151756880 157602500 159082572 160204000 164341500 165552960 166932568 171243843 171930000 172451000 175297600 180775650 182108256 189123000 189696100 192244800 192827360 198853215 200255000 205426875 206941200 208665710 212110096 215563750 218460000 219122000 227635320 228325124 229240000 231392832 236403750 237120125 240306000 241034200 250398852 252164000 258676500 262946400 265137620 273902500 275921600 284544150 285406405 289241040 300382500 301292750 302596800 303513760 312998565 315205000 318165144 320408000 323345625 328683000 331422025 333865136 342487686 343860000 344902000 361551300 364216512 378246000 379392200 385654720 397706430 400510000 410853750 413882400 417331420 424220192 431127500 436920000 438244000 451939125 455270640 456650248 472807500 474240250 480612000 482068400 500797704 504328000 517353000 521664275 525892800 530275240 547805000 569088300 570812810 578482080 600765000 602585500 607027520 625997130 627894091 630410000 636330288 646691250 657366000 662844050 667730272 684975372 687720000 689804000 711360375 723102600 753231875 756492000 758784400 795412860 801020000 821707500 827764800 834662840 848440384 856219215 862255000 876488000 903878250 910541280 913300496 945615000 948480500 961224000 964136800 994266075 1001595408 1034706000 1043328550 1060550480 1095610000 1138176600 1141625620 1156964160 1185600625 1201530000 1205171000 1251994260 1255788182 1260820000 1272660576 1293382500 1314732000 1325688100 1335460544 1369950744 1379608000 1422720750 1427032025 1446205200 1506463750 1512984000 1517568800 1564992825 1590825720 1602040000 1643415000 1657110125 1669325680 1712438430 1724510000 1807756500 1821082560 1826600992 1883682273 1891230000 1896961000 1928273600 1988532150 2003190816 2069412000 2086657100 2121100960 2191220000 2259695625 2276353200 2283251240 2371201250 2403060000 2410342000 2503988520 2511576364 2521640000 2545321152 2586765000 2608321375 2629464000 2651376200 2739901488 2845441500 2854064050 2892410400 3012927500 3035137600 3129985650 3139470455 3181651440 3286830000 3314220250 3338651360 3424876860 3449020000 3556801875 3615513000 3653201984 3767364546 3782460000 3793922000 3977064300 4006381632 4138824000 4173314200 4242201920 4281096075 4382440000 4519391250 4552706400 4566502480 4742402500 4806120000 4820684000 4971330375 5007977040 5023152728 5173530000 5216642750 5302752400 5479802976 5690883000 5708128100 5784820800 6025855000 6259971300 6278940910 6363302880 6573660000 6628440500 6677302720 6849753720 6898040000 6906835001 7113603750 7135160125 7231026000 7534729092 7564920000 7587844000 7824964125 7954128600 8285550625 8346628400 8562192150 9038782500 9105412800 9133004960 9418411365 9484805000 9641368000 9942660750 10015954080 10046305456 10347060000 10433285500 10605504800 10959605952 11381766000 11416256200 12051710000 12519942600 12557881820 12726605760 13041606875 13147320000 13256881000 13699507440 13813670002 14227207500 14270320250 14462052000 15069458184 15175688000 15649928250 15697352275 15908257200 16571101250 16693256800 17124384300 18077565000 18266009920 18836822730 18969610000 19885321500 20031908160 20092610912 20694120000 20720505003 20866571000 21211009600 21405480375 22763532000 22832512400 24103420000 24856651875 25039885200 25115763640 26083213750 26513762000 27399014880 27627340004 28454415000 28540640500 28924104000 30138916368 31299856500 31394704550 31816514400 33142202500 33386513600 34248768600 34534175005 35675800625 36155130000 37673645460 37939220000 39124820625 39770643000 40185221824 41441010006 41733142000 42810960750 45527064000 45665024800 47092056825 48206840000 49713303750 50079770400 50231527280 52166427500 53027524000 54798029760 55254680008 56908830000 57081281000 60277832736 62599713000 62789409100 63633028800 66284405000 68497537200 69068350010 71351601250 72310260000 75347290920 75878440000 78249641250 78486761375 79541286000 82882020012 83466284000 85621921500 91330049600 94184113650 99426607500 100159540800 100463054560 103602525015 104332855000 106055048000 107027401875 110509360016 113817660000 114162562000 120555665472 125199426000 125578818200 132568810000 136995074400 138136700020 142703202500 144620520000 150694581840 156499282500 156973522750 159082572000 165764040024 166932568000 171243843000 172670875025 188368227300 198853215000 200926109120 207205050030 208665710000 214054803750 221018720032 227635320000 228325124000 235460284125 250398852000 251157636400 265137620000 273990148800 276273400040 285406405000 301389163680 312998565000 313947045500 318165144000 331528080048 342487686000 345341750050 376736454600 392433806875 397706430000 414410100060 417331420000 428109607500 442037440064 456650248000 470920568250 500797704000 502315272800 518012625075 530275240000 552546800080 570812810000 602778327360 625997130000 627894091000 663056160096 684975372000 690683500100 753472909200 784867613750 795412860000 828820200120 834662840000 856219215000 863354375125 941841136500 1004630545600 1036025250150 1105093600160 1141625620000 1177301420625 1251994260000 1255788182000 1326112320192 1369950744000 1381367000200 1506945818400 1569735227500 1590825720000 1657640400240 1712438430000 1726708750250 1883682273000 2072050500300 2210187200320 2283251240000 2354602841250 2503988520000 2511576364000 2590063125375 2762734000400 3013891636800 3139470455000 3315280800480 3424876860000 3453417500500 3767364546000 4144101000600 4316771875625 4709205682500 5023152728000 5180126250750 5525468000800 6278940910000 6630561600960 6849753720000 6906835001000 7534729092000 8288202001200 8633543751250 9418411365000 10360252501500 11050936001600 12557881820000 12950315626875 13813670002000 15069458184000 16576404002400 17267087502500 18836822730000 20720505003000 25115763640000 25900631253750 27627340004000 33152808004800 34534175005000 37673645460000 41441010006000 51801262507500 55254680008000 69068350010000 75347290920000 82882020012000 103602525015000 138136700020000 165764040024000 207205050030000 276273400040000 414410100060000 828820200120000
- Sum of all divisors σ(n): 3026961656228664
- Sum of proper divisors (its aliquot sum) s(n): 2198141456108664
- 828820200120000 is an abundant number, because the sum of its proper divisors (2198141456108664) is greater than itself. Its abundance is 1369321255988664
Bases of 828820200120000
- Binary: 101111000111001110101111011001110001011110110000002
- Hexadecimal: 0x2F1CEBD9C5EC0
- Base-36: 85SIQRNBUO
Squares and roots of 828820200120000
- 828820200120000 squared (8288202001200002) is 686942924126956848014400000000
- 828820200120000 cubed (8288202001200003) is 569352171845922351057899432641728000000000000
-
The
square root of 828820200120000 is 28789237.5744825863 -
The
cube root of 828820200120000 is 93933.4144458223
Scales and comparisons
How big is 828820200120000?- 828,820,200,120,000 seconds is equal to 26,353,918 years, 34 weeks, 6 hours, 40 minutes.
-
To count from 1 to 828,820,200,120,000 would take you about sixty-five million, eight hundred eighty-four thousand, seven hundred ninety-six 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 828820200120000 cubic inches would be around 7827.8 feet tall.
Recreational maths with 828820200120000
- 828820200120000 backwards is 000021002028828
- 828820200120000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 828820200120000's digits is 33
- 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 828820200120000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 828820200120000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/828820200120000/
Chicago style:
Numbermatics. 2024. "Number 828820200120000 - Facts about the integer". https://numbermatics.com/n/828820200120000/
The information we have on file for 828820200120000 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 828820200120000, math, Factors of 828820200120000, curriculum, school, college, exams, university, Prime factorization of 828820200120000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight trillion, eight hundred twenty billion, two hundred million, one hundred twenty thousand.