76828049088900480
76,828,049,088,900,480 is an even composite number composed of eight prime numbers multiplied together.
76828049088900480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 76828049088900480:
27 × 32 × 5 × 7 × 17 × 31 × 257 × 14068751
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 31 × 257 × 14068751)See below for interesting mathematical facts about the number 76828049088900480 from the Numbermatics database.
Names of 76828049088900480
- Cardinal: 76828049088900480 can be written as Seventy-six quadrillion, eight hundred twenty-eight trillion, forty-nine billion, eighty-eight million, nine hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 7.682804908890048 × 1016
Factors of 76828049088900480
Divisors of 76828049088900480
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 31 32 34 35 36 40 42 45 48 51 56 60 62 63 64 68 70 72 80 84 85 90 93 96 102 105 112 119 120 124 126 128 136 140 144 153 155 160 168 170 180 186 192 204 210 217 224 238 240 248 252 255 257 272 279 280 288 306 310 315 320 336 340 357 360 372 384 408 420 434 448 465 476 480 496 504 510 514 527 544 558 560 576 595 612 620 630 640 651 672 680 714 720 744 765 771 816 840 868 896 930 952 960 992 1008 1020 1028 1054 1071 1085 1088 1116 1120 1152 1190 1224 1240 1260 1285 1302 1344 1360 1395 1428 1440 1488 1530 1542 1581 1632 1680 1736 1785 1799 1860 1904 1920 1953 1984 2016 2040 2056 2108 2142 2170 2176 2232 2240 2313 2380 2448 2480 2520 2570 2604 2635 2688 2720 2790 2856 2880 2976 3060 3084 3162 3255 3264 3360 3472 3570 3598 3689 3720 3808 3855 3906 3968 4032 4080 4112 4216 4284 4340 4369 4464 4480 4626 4743 4760 4896 4960 5040 5140 5208 5270 5355 5397 5440 5580 5712 5760 5952 6120 6168 6324 6510 6528 6720 6944 7140 7196 7378 7440 7616 7710 7812 7905 7967 8064 8160 8224 8432 8568 8680 8738 8928 8995 9252 9486 9520 9765 9792 9920 10080 10280 10416 10540 10710 10794 10880 11067 11160 11424 11565 11904 12240 12336 12648 13020 13107 13440 13888 14280 14392 14756 14880 15232 15420 15624 15810 15934 16191 16320 16448 16864 17136 17360 17476 17856 17990 18445 18504 18972 19040 19530 19584 19840 20160 20560 20832 21080 21420 21588 21845 22134 22320 22848 23130 23715 23901 24480 24672 25296 26040 26214 26985 27776 28560 28784 29512 29760 30583 30840 31248 31620 31868 32382 32640 32896 33201 33728 34272 34720 34952 35712 35980 36890 37008 37944 38080 39060 39321 39835 40320 41120 41664 42160 42840 43176 43690 44268 44640 45696 46260 47430 47802 48960 49344 50592 52080 52428 53970 55335 55769 57120 57568 59024 59520 61166 61680 62496 63240 63736 64764 65535 66402 67456 68544 69440 69904 71703 71960 73780 74016 75888 76160 78120 78642 79670 80955 82240 83328 84320 85680 86352 87380 88536 89280 91749 92520 94860 95604 97920 98688 101184 104160 104856 107940 110670 111538 114240 115136 118048 119505 122332 123360 124992 126480 127472 129528 131070 132804 135439 137088 138880 139808 143406 143920 147560 148032 151776 152915 156240 157284 159340 161910 164480 166005 167307 168640 171360 172704 174760 177072 178560 183498 185040 189720 191208 196605 202368 208320 209712 215880 221340 223076 228480 230272 236096 239010 244664 246720 249984 252960 254944 259056 262140 265608 270878 275247 278845 279616 286812 287840 295120 296064 303552 305830 312480 314568 318680 323820 332010 334614 337280 342720 345408 349520 354144 358515 366996 370080 379440 382416 393210 406317 416640 419424 431760 442680 446152 458745 472192 478020 489328 493440 501921 505920 509888 518112 524280 531216 541756 550494 557690 559232 573624 575680 590240 607104 611660 624960 629136 637360 647640 664020 669228 677195 685440 690816 699040 708288 717030 733992 740160 758880 764832 786420 812634 836535 838848 863520 885360 892304 917490 948073 956040 978656 1003842 1011840 1019776 1036224 1048560 1062432 1083512 1100988 1115380 1147248 1151360 1180480 1218951 1223320 1249920 1258272 1274720 1295280 1328040 1338456 1354390 1376235 1398080 1416576 1434060 1467984 1480320 1517760 1529664 1572840 1625268 1673070 1677696 1727040 1770720 1784608 1834980 1896146 1912080 1957312 2007684 2031585 2072448 2097120 2124864 2167024 2201976 2230760 2294496 2360960 2437902 2446640 2509605 2516544 2549440 2590560 2656080 2676912 2708780 2752470 2796160 2844219 2868120 2935968 3035520 3059328 3145680 3250536 3346140 3454080 3541440 3569216 3669960 3792292 3824160 3914624 4015368 4063170 4194240 4249728 4334048 4403952 4461520 4588992 4740365 4875804 4893280 5019210 5033088 5098880 5181120 5312160 5353824 5417560 5504940 5688438 5736240 5871936 6094755 6291360 6501072 6692280 7082880 7138432 7339920 7584584 7648320 8030736 8126340 8388480 8532657 8668096 8807904 8923040 9177984 9480730 9751608 9786560 10038420 10362240 10624320 10707648 10835120 11009880 11376876 11472480 11743872 12189510 12582720 13002144 13384560 14068751 14221095 14679840 15169168 15296640 16061472 16252680 17065314 17336192 17615808 17846080 18961460 19503216 19573120 20076840 21248640 21415296 21670240 22019760 22753752 22944960 24379020 25165440 26004288 26769120 28137502 28442190 29359680 30338336 32122944 32505360 34130628 35231616 35692160 37922920 39006432 40153680 42206253 42663285 43340480 44039520 45507504 45889920 48758040 52008576 53538240 56275004 56884380 58719360 60676672 64245888 65010720 68261256 70343755 75845840 78012864 80307360 84412506 85326570 86680960 88079040 91015008 97516080 98481257 107076480 112550008 113768760 121353344 126618759 130021440 136522512 140687510 151691680 156025728 160614720 168825012 170653140 176158080 182030016 195032160 196962514 211031265 225100016 227537520 239168767 253237518 260042880 273045024 281375020 295443771 303383360 321229440 337650024 341306280 364060032 390064320 393925028 422062530 436131281 450200032 455075040 478337534 492406285 506475036 546090048 562750040 590887542 606766720 633093795 675300048 682612560 717506301 780128640 787850056 844125060 872262562 886331313 900400064 910150080 956675068 984812570 1012950072 1092180096 1125500080 1181775084 1195843835 1266187590 1308393843 1350600096 1365225120 1435012602 1477218855 1575700112 1674181369 1688250120 1744525124 1772662626 1800800128 1820300160 1913350136 1969625140 2025900144 2152518903 2180656405 2251000160 2363550168 2391687670 2532375180 2616787686 2701200192 2730450240 2870025204 2954437710 3052918967 3151400224 3348362738 3376500240 3489050248 3545325252 3587531505 3615669007 3826700272 3925181529 3939250280 4051800288 4305037806 4361312810 4431656565 4502000320 4727100336 4783375340 5022544107 5064750360 5233575372 5402400384 5460900480 5740050408 5908875420 6105837934 6302800448 6541969215 6696725476 6753000480 6978100496 7090650504 7175063010 7231338014 7414231777 7653400544 7850363058 7878500560 8103600576 8370906845 8610075612 8722625620 8863313130 9004000640 9158756901 9454200672 9566750680 10045088214 10129500720 10467150744 10762594515 10847007021 11480100816 11817750840 12211675868 12605600896 13083938430 13393450952 13506000960 13956200992 14181301008 14350126020 14462676028 14828463554 15067632321 15264594835 15306801088 15700726116 15757001120 16207201152 16741813690 17220151224 17445251240 17726626260 18078345035 18317513802 18908401344 19133501360 19625907645 20090176428 20259001440 20934301488 21525189030 21694014042 22242695331 22960201632 23635501680 24423351736 25112720535 25309683049 26167876860 26786901904 27012001920 27476270703 27912401984 28362602016 28700252040 28925352056 29656927108 30135264642 30529189670 30613602176 31401452232 31514002240 32541021063 33483627380 34440302448 34890502480 35453252520 36156690070 36635027604 37071158885 37816802688 38267002720 39251815290 40180352856 40518002880 41868602976 43050378060 43388028084 44485390662 45793784505 45920403264 47271003360 48846703472 50225441070 50619366098 51899622439 52335753720 53573803808 54235035105 54952541406 55824803968 56725204032 57400504080 57850704112 59313854216 60270529284 61058379340 61466373119 62802904464 63028004480 65082042126 66728085993 66967254760 68880604896 69781004960 70906505040 72313380140 73270055208 74142317770 75338161605 75929049147 76534005440 78503630580 80360705712 81036005760 83737205952 86100756120 86776056168 88970781324 91587569010 91840806528 94542006720 97693406944 100450882140 101238732196 103799244878 104671507440 107147607616 108470070210 109905082812 111213476655 112085739217 113450408064 114801008160 115701408224 118627708432 120541058568 122116758680 122932746238 125605808928 126548415245 130164084252 133456171986 133934509520 137381353515 137761209792 139562009920 141813010080 144626760280 146540110416 148284635540 150676323210 151858098294 153068010880 155698867317 157007261160 160721411424 162705105315 167474411904 172201512240 173552112336 177941562648 183175138020 184399119357 189084013440 195386813888 200901764280 202477464392 207598489756 209343014880 214295215232 216940140420 219810165624 222426953310 224171478434 227787147441 229602016320 231402816448 237255416864 241082117136 244233517360 245865492476 251211617856 253096830490 259498112195 260328168504 266912343972 267869019040 274762707030 275522419584 279124019840 283626020160 289253520560 293080220832 296569271080 301352646420 303716196588 307331865595 311397734634 314014522320 321442822848 325410210630 333640429965 336257217651 344403024480 347104224672 355883125296 366350276040 368798238714 379645245735 390773627776 401803528560 404954928784 415196979512 418686029760 430264611833 433880280840 439620331248 444853906620 448342956868 455574294882 459204032640 462805632896 467096601951 474510833728 482164234272 488467034720 491730984952 502423235712 506193660980 518996224390 520656337008 533824687944 535738038080 549525414060 553197358071 560428696085 567252040320 578507041120 586160441664 593138542160 602705292840 607432393176 614663731190 622795469268 628029044640 642885645696 650820421260 667280859930 672514435302 688806048960 694208449344 711766250592 732700552080 737596477428 759290491470 778494336585 784600174519 803607057120 809909857568 830393959024 837372059520 860529223666 867760561680 879240662496 889707813240 896685913736 911148589764 921995596785 934193203902 949021667456 964328468544 976934069440 983461969904 1008771652953 1012387321960 1037992448780 1041312674016 1067649375888 1071476076160 1099050828120 1106394716142 1120857392170 1138935737205 1157014082240 1172320883328 1186277084320 1205410585680 1214864786352 1229327462380 1245590938536 1256058089280 1290793835499 1301640842520 1334561719860 1345028870604 1377612097920 1388416898688 1423532501184 1465401104160 1475192954856 1518580982940 1556988673170 1569200349038 1607214114240 1619819715136 1660787918048 1681286088255 1721058447332 1735521123360 1758481324992 1779415626480 1793371827472 1822297179528 1843991193570 1868386407804 1905457566689 1928656937088 1953868138880 1966923939808 2017543305906 2024774643920 2075984897560 2082625348032 2135298751776 2151323059165 2198101656240 2212789432284 2241714784340 2277871474410 2314028164480 2335483009755 2353800523557 2372554168640 2410821171360 2429729572704 2458654924760 2491181877072 2512116178560 2581587670998 2603281685040 2669123439720 2690057741208 2765986790355 2847065002368 2930802208320 2950385909712 3037161965880 3113977346340 3138400698076 3214428228480 3239639430272 3321575836096 3362572176510 3442116894664 3471042246720 3516962649984 3558831252960 3586743654944 3644594359056 3687982387140 3736772815608 3810915133378 3872381506497 3923000872595 3933847879616 4035086611812 4049549287840 4151969795120 4165250696064 4270597503552 4302646118330 4396203312480 4425578864568 4483429568680 4555742948820 4670966019510 4707601047114 4745108337280 4821642342720 4859459145408 4917309849520 4982363754144 5043858264765 5163175341996 5206563370080 5338246879440 5380115482416 5531973580710 5716372700067 5861604416640 5900771819424 6074323931760 6227954692680 6276801396152 6453969177495 6643151672192 6725144353020 6884233789328 6942084493440 7061401570671 7117662505920 7173487309888 7289188718112 7375964774280 7473545631216 7621830266756 7744763012994 7846001745190 7867695759232 8070173223624 8099098575680 8303939590240 8541195007104 8605292236660 8792406624960 8851157729136 8966859137360 9111485897640 9341932039020 9415202094228 9527287833445 9643284685440 9718918290816 9834619699040 9964727508288 10087716529530 10326350683992 10413126740160 10676493758880 10760230964832 11063947161420 11432745400134 11769002617785 11801543638848 12148647863520 12455909385360 12553602792304 12907938354990 13338202966823 13450288706040 13768467578656 14122803141342 14235325011840 14346974619776 14578377436224 14751929548560 14947091262432 15243660533512 15489526025988 15692003490380 16140346447248 16198197151360 16607879180480 17149118100201 17210584473320 17584813249920 17702315458272 17933718274720 18222971795280 18683864078040 18830404188456 19054575666890 19361907532485 19669239398080 19929455016576 20175433059060 20652701367984 20826253480320 21352987517760 21520461929664 22127894322840 22865490800268 23538005235570 23603087277696 24297295727040 24911818770720 25107205584608 25815876709980 26676405933646 26900577412080 27536935157312 28245606282684 28581863500335 29156754872448 29503859097120 29894182524864 30487321067024 30979052051976 31384006980760 32280692894496 33215758360960 34298236200402 34421168946640 35307007853355 35404630916544 35867436549440 36445943590560 37367728156080 37660808376912 38109151333780 38723815064970 39338478796160 40014608900469 40350866118120 41305402735968 42705975035520 43040923859328 44255788645680 45730981600536 47076010471140 48594591454080 49823637541440 50214411169216 51631753419960 53352811867292 53801154824160 55073870314624 56491212565368 57163727000670 59007718194240 59788365049728 60974642134048 61958104103952 62768013961520 64561385788992 66691014834115 68596472400804 68842337893280 70614015706710 70809261833088 71734873098880 72891887181120 74735456312160 75321616753824 76218302667560 77447630129940 80029217800938 80701732236240 82610805471936 85745590501005 88511577291360 91461963201072 94152020942280 99647275082880 100428822338432 103263506839920 106705623734584 107602309648320 112982425130736 114327454001340 118015436388480 120043826701407 121949284268096 123916208207904 125536027923040 129122771577984 133382029668230 137192944801608 137684675786560 141228031413420 145783774362240 149470912624320 150643233507648 152436605335120 154895260259880 160058435601876 161403464472480 165221610943872 171491181002010 177023154582720 182923926402144 188304041884560 200073044502345 206527013679840 213411247469168 215204619296640 225964850261472 228654908002680 240087653402814 243898568536192 247832416415808 251072055846080 266764059336460 274385889603216 275369351573120 282456062826840 298941825248640 301286467015296 304873210670240 309790520519760 320116871203752 322806928944960 342982362004020 354046309165440 365847852804288 376608083769120 400146089004690 413054027359680 426822494938336 451929700522944 457309816005360 480175306805628 495664832831616 502144111692160 533528118672920 548771779206432 564912125653680 600219133507035 609746421340480 619581041039520 640233742407504 645613857889920 685964724008040 731695705608576 753216167538240 800292178009380 826108054719360 853644989876672 903859401045888 914619632010720 960350613611256 1067056237345840 1097543558412864 1129824251307360 1200438267014070 1219492842680960 1239162082079040 1280467484815008 1371929448016080 1506432335076480 1600584356018760 1707289979753344 1829239264021440 1920701227222512 2134112474691680 2195087116825728 2259648502614720 2400876534028140 2478324164158080 2560934969630016 2743858896032160 3201168712037520 3658478528042880 3841402454445024 4268224949383360 4519297005229440 4801753068056280 5121869939260032 5487717792064320 6402337424075040 7682804908890048 8536449898766720 9603506136112560 10975435584128640 12804674848150080 15365609817780096 19207012272225120 25609349696300160 38414024544450240 76828049088900480
- Sum of all divisors σ(n): 332676813949009920
- Sum of proper divisors (its aliquot sum) s(n): 255848764860109440
- 76828049088900480 is an abundant number, because the sum of its proper divisors (255848764860109440) is greater than itself. Its abundance is 179020715771208960
Bases of 76828049088900480
- Binary: 1000100001111001010110100000111101011101011101101100000002
- Hexadecimal: 0x110F2B41EBAED80
- Base-36: L0H9QIA34W0
Squares and roots of 76828049088900480
- 76828049088900480 squared (768280490889004802) is 5902549126806501875030335344230400
- 76828049088900480 cubed (768280490889004803) is 453481334063936590170101364124061865152647790592000
-
The
square root of 76828049088900480 is 277178731.3068960563 -
The
cube root of 76828049088900480 is 425115.1689520945
Scales and comparisons
How big is 76828049088900480?- 76,828,049,088,900,480 seconds is equal to 2,442,894,316 years, 13 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 76,828,049,088,900,480 would take you about seven billion, three hundred twenty-eight million, six hundred eighty-two thousand, nine hundred forty-eight 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 76828049088900480 cubic inches would be around 35426.3 feet tall.
Recreational maths with 76828049088900480
- 76828049088900480 backwards is 08400988094082867
- The number of decimal digits it has is: 17
- The sum of 76828049088900480's digits is 81
- More coming soon!
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"Number 76828049088900480 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 76828049088900480 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/76828049088900480/
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The information we have on file for 76828049088900480 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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