12828752425008000
12,828,752,425,008,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12828752425008000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
12828752425008000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 12828752425008000:
27 × 36 × 53 × 13 × 4393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 439 × 439 × 439)See below for interesting mathematical facts about the number 12828752425008000 from the Numbermatics database.
Names of 12828752425008000
- Cardinal: 12828752425008000 can be written as Twelve quadrillion, eight hundred twenty-eight trillion, seven hundred fifty-two billion, four hundred twenty-five million, eight thousand.
Scientific notation
- Scientific notation: 1.2828752425008 × 1016
Factors of 12828752425008000
Divisors of 12828752425008000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 243 250 260 270 288 300 312 320 324 325 351 360 375 384 390 400 405 416 432 439 450 468 480 486 500 520 540 576 585 600 624 640 648 650 675 702 720 729 750 780 800 810 832 864 878 900 936 960 972 975 1000 1040 1053 1080 1125 1152 1170 1200 1215 1248 1296 1300 1317 1350 1404 1440 1458 1500 1560 1600 1620 1625 1664 1728 1755 1756 1800 1872 1920 1944 1950 2000 2025 2080 2106 2160 2195 2250 2340 2400 2430 2496 2592 2600 2634 2700 2808 2880 2916 2925 3000 3120 3159 3200 3240 3250 3375 3456 3510 3512 3600 3645 3744 3888 3900 3951 4000 4050 4160 4212 4320 4390 4500 4680 4800 4860 4875 4992 5184 5200 5265 5268 5400 5616 5707 5760 5832 5850 6000 6075 6240 6318 6480 6500 6585 6750 7020 7024 7200 7290 7488 7776 7800 7902 8000 8100 8320 8424 8640 8775 8780 9000 9360 9477 9600 9720 9750 10125 10368 10400 10530 10536 10800 10975 11232 11414 11664 11700 11853 12000 12150 12480 12636 12960 13000 13170 13500 14040 14048 14400 14580 14625 14976 15552 15600 15795 15804 16000 16200 16848 17121 17280 17550 17560 18000 18225 18720 18954 19440 19500 19755 20250 20800 21060 21072 21600 21950 22464 22828 23328 23400 23706 24000 24300 24960 25272 25920 26000 26325 26340 27000 28080 28096 28535 28800 29160 29250 30375 31104 31200 31590 31608 32400 32925 33696 34242 35100 35120 35559 36000 36450 37440 37908 38880 39000 39510 40500 41600 42120 42144 43200 43875 43900 44928 45656 46656 46800 47385 47412 48000 48600 50544 51363 51840 52000 52650 52680 54000 54875 56160 56192 57070 58320 58500 59265 60750 62400 63180 63216 64800 65850 67392 68484 70200 70240 71118 72000 72900 74880 75816 77760 78000 78975 79020 81000 84240 84288 85605 86400 87750 87800 91125 91312 93312 93600 94770 94824 97200 98775 101088 102726 104000 105300 105360 106677 108000 109750 112320 114140 116640 117000 118530 121500 124800 126360 126432 129600 131625 131700 134784 136968 140400 140480 142236 142675 144000 145800 151632 154089 155520 156000 157950 158040 162000 164625 168480 168576 171210 175500 175600 177795 182250 182624 187200 189540 189648 192721 194400 197550 202176 205452 208000 210600 210720 213354 216000 219500 224640 228280 233280 234000 236925 237060 243000 252720 252864 256815 259200 263250 263400 273936 280800 280960 284472 285350 291600 296325 303264 308178 312000 315900 316080 320031 324000 329250 336960 342420 351000 351200 355590 364500 365248 374400 379080 379296 385442 388800 394875 395100 404352 410904 421200 421440 426708 428025 432000 439000 456560 462267 466560 468000 473850 474120 486000 493875 505440 505728 513630 526500 526800 533385 547872 561600 568944 570700 578163 583200 592650 606528 616356 624000 631800 632160 640062 648000 658500 673920 684840 702000 702400 711180 713375 729000 730496 758160 758592 770445 770884 777600 789750 790200 821808 842400 842880 853416 856050 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4930848 5010746 5054400 5120496 5136300 5203467 5268000 5333850 5478720 5547204 5616000 5689440 5707000 5781630 5832000 5926500 6065280 6163560 6167072 6318000 6321600 6400620 6420375 6574464 6827328 6848400 6934005 6937956 7024000 7111800 7396272 7516119 7581600 7585920 7704450 7708840 7902000 8000775 8218080 8320806 8424000 8534160 8560500 8672445 8889750 9131200 9245340 9250608 9477000 9482400 9636050 9861696 10021492 10108800 10240992 10272600 10406934 10536000 10667700 10957440 11094408 11378880 11414000 11556675 11563260 11664000 11853000 12327120 12334144 12526865 12636000 12643200 12801240 12840750 13334625 13654656 13696800 13868010 13875912 14223600 14454075 14792544 15032238 15163200 15408900 15417680 15610401 15804000 16001550 16436160 16641612 16848000 17068320 17121000 17344890 17779500 18262400 18490680 18501216 18954000 18964800 19261125 19272100 19723392 20042984 20481984 20545200 20802015 20813868 21072000 21335400 22188816 22548357 22757760 22828000 23113350 23126520 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54146892160 54823728312 54992937350 56197443600 57108050325 58445341344 59392372338 60128952000 60880563900 60915253680 61676694351 62441604000 63453389250 64939268160 65991524820 66566448000 67645071000 67683615200 68529660390 70246804500 70390959808 72154742400 73056676680 73098304416 74929924800 76100704875 76144067100 77927121792 79189829784 81174085200 81220338240 82235592468 82489406025 83255472000 84604519000 87988699760 89088558507 89915909760 90193428000 91320845850 91372880520 93662406000 95180083875 97408902240 97464405888 98987287230 101467606500 101525422800 102794490585 105586439712 108232113600 109647456624 109985874700 112394887200 114216100650 116890682688 118784744676 120257904000 121761127800 121830507360 123353388702 124883208000 126906778500 129878536320 131983049640 135290142000 135367230400 137059320780 137482343375 140493609000 140781919616 146113353360 146196608832 148480930845 149859849600 152201409750 152288134200 158379659568 162348170400 162440676480 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513972452925 527932198560 534531351042 541160568000 548237283120 549929373500 561974436000 571080503250 584453413440 593923723380 608805639000 609152536800 616766943510 633518638272 649392681600 657884739744 659915248200 676836152000 685296603900 703909598080 712708468056 730566766800 730983044160 742404654225 749299248000 761440671000 791898297840 801797026563 811740852000 812203382400 822355924680 824894060250 856620754875 877179652992 879886997600 890885585070 913208458500 913728805200 950277957408 974089022400 986827109616 989872872300 1015254228000 1027944905850 1055864397120 1069062702084 1082321136000 1096474566240 1099858747000 1123948872000 1142161006500 1168906826880 1187847446760 1217611278000 1218305073600 1233533887020 1237341090375 1267037276544 1315769479488 1319830496400 1336328377605 1353672304000 1370593207800 1425416936112 1461133533600 1461966088320 1484809308450 1522881342000 1541917358775 1583796595680 1603594053126 1623481704000 1644711849360 1649788120500 1713241509750 1759773995200 1781771170140 1826416917000 1827457610400 1900555914816 1948178044800 1973654219232 1979745744600 2030508456000 2055889811700 2111728794240 2138125404168 2192949132480 2199717494000 2227213962675 2247897744000 2284322013000 2375694893520 2435222556000 2436610147200 2467067774040 2474682180750 2569862264625 2631538958976 2639660992800 2672656755210 2741186415600 2850833872224 2922267067200 2969618616900 3045762684000 3083834717550 3167593191360 3207188106252 3246963408000 3289423698720 3299576241000 3426483019500 3519547990400 3563542340280 3652833834000 3654915220800 3712023271125 3801111829632 3947308438464 3959491489200 4008985132815 4061016912000 4111779623400 4276250808336 4385898264960 4399434988000 4454427925350 4568644026000 4751389787040 4870445112000 4934135548080 4949364361500 5139724529250 5279321985600 5345313510420 5482372831200 5701667744448 5844534134400 5939237233800 6091525368000 6167669435100 6335186382720 6414376212504 6578847397440 6599152482000 6681641888025 6852966039000 7127084680560 7305667668000 7309830441600 7424046542250 7709586793875 7894616876928 7918982978400 8017970265630 8223559246800 8552501616672 8798869976000 8908855850700 9137288052000 9502779574080 9740890224000 9868271096160 9898728723000 10279449058500 10558643971200 10690627020840 10964745662400 11136069813375 11403335488896 11878474467600 12183050736000 12335338870200 12828752425008 13157694794880 13198304964000 13363283776050 13705932078000 14254169361120 14611335336000 14848093084500 15419173587750 15837965956800 16035940531260 16447118493600 17105003233344 17597739952000 17817711701400 18274576104000 19005559148160 19736542192320 19797457446000 20044925664075 20558898117000 21381254041680 21929491324800 22272139626750 23756948935200 24670677740400 25657504850016 26396609928000 26726567552100 27411864156000 28508338722240 29222670672000 29696186169000 30838347175500 31675931913600 32071881062520 32894236987200 33408209440125 34210006466688 35635423402800 36549152208000 39473084384640 39594914892000 40089851328150 41117796234000 42762508083360 44544279253500 47513897870400 49341355480800 51315009700032 52793219856000 53453135104200 54823728312000 57016677444480 59392372338000 61676694351000 64143762125040 65788473974400 66816418880250 71270846805600 79189829784000 80179702656300 82235592468000 85525016166720 89088558507000 95027795740800 98682710961600 100224628320375 102630019400064 106906270208400 109647456624000 118784744676000 123353388702000 128287524250080 133632837760500 142541693611200 158379659568000 160359405312600 164471184936000 171050032333440 178177117014000 197365421923200 200449256640750 213812540416800 237569489352000 246706777404000 256575048500160 267265675521000 285083387222400 320718810625200 328942369872000 356354234028000 400898513281500 427625080833600 475138978704000 493413554808000 513150097000320 534531351042000 641437621250400 712708468056000 801797026563000 855250161667200 986827109616000 1069062702084000 1282875242500800 1425416936112000 1603594053126000 2138125404168000 2565750485001600 3207188106252000 4276250808336000 6414376212504000 12828752425008000
- Sum of all divisors σ(n): 51617497672540800
- Sum of proper divisors (its aliquot sum) s(n): 38788745247532800
- 12828752425008000 is an abundant number, because the sum of its proper divisors (38788745247532800) is greater than itself. Its abundance is 25959992822524800
Bases of 12828752425008000
- Binary: 1011011001001110101110101011110011010000111011100000002
- Hexadecimal: 0x2D93AEAF343B80
- Base-36: 3IBEVI5A000
Squares and roots of 12828752425008000
- 12828752425008000 squared (128287524250080002) is 164576888782148640663800064000000
- 12828752425008000 cubed (128287524250080003) is 2111316161064261285736435869880465600512000000000
-
The
square root of 12828752425008000 is 113264082.6785261171 -
The
cube root of 12828752425008000 is 234096.4393255505
Scales and comparisons
How big is 12828752425008000?- 12,828,752,425,008,000 seconds is equal to 407,914,645 years, 9 weeks, 2 days.
-
To count from 1 to 12,828,752,425,008,000 would take you about one billion, two hundred twenty-three million, seven hundred forty-three thousand, nine hundred thirty-five 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 12828752425008000 cubic inches would be around 19508 feet tall.
Recreational maths with 12828752425008000
- 12828752425008000 backwards is 00080052425782821
- 12828752425008000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12828752425008000's digits is 54
- More coming soon!
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"Number 12828752425008000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 12828752425008000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/12828752425008000/
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The information we have on file for 12828752425008000 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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