768048090228864
768,048,090,228,864 is an even composite number composed of five prime numbers multiplied together.
What does the number 768048090228864 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
768048090228864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 768048090228864:
27 × 33 × 19 × 374 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 37 × 37 × 37 × 37 × 79 × 79)See below for interesting mathematical facts about the number 768048090228864 from the Numbermatics database.
Names of 768048090228864
- Cardinal: 768048090228864 can be written as Seven hundred sixty-eight trillion, forty-eight billion, ninety million, two hundred twenty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 7.68048090228864 × 1014
Factors of 768048090228864
Divisors of 768048090228864
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 37 38 48 54 57 64 72 74 76 79 96 108 111 114 128 144 148 152 158 171 192 216 222 228 237 288 296 304 316 333 342 384 432 444 456 474 513 576 592 608 632 666 684 703 711 864 888 912 948 999 1026 1152 1184 1216 1264 1332 1368 1369 1406 1422 1501 1728 1776 1824 1896 1998 2052 2109 2133 2368 2432 2528 2664 2736 2738 2812 2844 2923 3002 3456 3552 3648 3792 3996 4104 4107 4218 4266 4503 4736 5056 5328 5472 5476 5624 5688 5846 6004 6241 6327 7104 7296 7584 7992 8208 8214 8436 8532 8769 9006 10112 10656 10944 10952 11248 11376 11692 12008 12321 12482 12654 13509 14208 15168 15984 16416 16428 16872 17064 17538 18012 18723 18981 21312 21888 21904 22496 22752 23384 24016 24642 24964 25308 26011 26307 27018 30336 31968 32832 32856 33744 34128 35076 36024 36963 37446 37962 40527 42624 43808 44992 45504 46768 48032 49284 49928 50616 50653 52022 52614 54036 55537 56169 63936 65664 65712 67488 68256 70152 72048 73926 74892 75924 78033 78921 81054 87616 89984 91008 93536 96064 98568 99856 101232 101306 104044 105228 108072 108151 111074 112338 118579 127872 131424 134976 136512 140304 144096 147852 149784 151848 151959 156066 157842 162108 166611 168507 175232 187072 192128 197136 199712 202464 202612 208088 210456 216144 216302 222148 224676 230917 234099 237158 262848 269952 273024 280608 288192 295704 299568 303696 303918 312132 315684 324216 324453 333222 337014 355737 374144 394272 399424 404928 405224 416176 420912 432288 432604 444296 449352 455877 461834 468198 474316 499833 525696 561216 576384 591408 599136 607392 607836 624264 631368 648432 648906 666444 674028 692751 702297 711474 788544 798848 809856 810448 832352 841824 864576 865208 888592 898704 911754 923668 936396 948632 962407 973359 999666 1067211 1122432 1182816 1198272 1214784 1215672 1248528 1262736 1296864 1297812 1332888 1348056 1367631 1385502 1404594 1422948 1499499 1577088 1620896 1664704 1683648 1729152 1730416 1777184 1797408 1823508 1847336 1872792 1874161 1897264 1924814 1946718 1999332 2054869 2078253 2134422 2365632 2396544 2429568 2431344 2497056 2525472 2593728 2595624 2665776 2696112 2735262 2771004 2809188 2845896 2887221 2920077 2998998 3201633 3241792 3329408 3367296 3460832 3554368 3594816 3647016 3694672 3745584 3748322 3794528 3849628 3893436 3998664 4001587 4109738 4156506 4268844 4387423 4731264 4862688 4994112 5050944 5187456 5191248 5331552 5392224 5470524 5542008 5618376 5622483 5691792 5774442 5840154 5997996 6164607 6234759 6403266 6483584 6921664 7108736 7189632 7294032 7389344 7491168 7496644 7589056 7699256 7786872 7997328 8003174 8219476 8313012 8537688 8543929 8661663 8774846 9725376 9988224 10101888 10382496 10663104 10784448 10941048 11084016 11236752 11244966 11383584 11548884 11680308 11995992 12004761 12329214 12469518 12806532 13162269 13843328 14588064 14778688 14982336 14993288 15178112 15398512 15573744 15994656 16006348 16438952 16626024 16867449 17075376 17087858 17323326 17549692 18493821 19450752 20764992 21326208 21568896 21882096 22168032 22473504 22489932 22767168 23097768 23360616 23991984 24009522 24658428 24939036 25613064 25631787 25984989 26324538 29176128 29557376 29964672 29986576 30797024 31147488 31989312 32012696 32877904 33252048 33734898 34150752 34175716 34646652 35099384 35609059 36014283 36987642 39486807 41529984 43764192 44336064 44947008 44979864 45534336 46195536 46721232 47983968 48019044 49316856 49878072 50602347 51226128 51263574 51969978 52649076 55481463 58352256 59973152 61594048 62294976 63978624 64025392 65755808 66504096 67469796 68301504 68351432 69293304 70198768 71218118 72028566 73975284 76030153 76895361 78973614 87528384 88672128 89894016 89959728 92391072 93442464 95967936 96038088 98633712 99756144 101204694 102452256 102527148 103939956 105298152 106827177 108042849 110962926 118460421 119946304 123188096 124589952 128050784 131511616 133008192 134939592 136603008 136702864 138586608 140397536 142436236 144057132 147950568 148058719 152060306 153790722 157947228 162334651 175056768 179919456 184782144 186884928 191935872 192076176 197267424 199512288 202409388 204904512 205054296 207879912 210596304 213654354 216085698 221925852 228090459 230686083 236920842 239892608 256101568 263023232 266016384 269879184 273405728 277173216 280795072 284872472 288114264 295901136 296117438 304120612 307581444 315894456 316125373 320481531 324669302 359838912 369564288 373769856 384152352 394534848 399024576 404818776 409809024 410108592 415759824 421192608 427308708 432171396 443851704 444176157 456180918 461372166 473841684 487003953 512203136 539758368 546811456 554346432 561590144 569744944 576228528 591802272 592234876 608241224 615162888 631788912 632250746 640963062 649338604 684271377 719677824 768304704 789069696 798049152 809637552 820217184 831519648 842385216 854617416 864342792 887703408 888352314 912361836 922744332 947683368 948376119 961444593 974007906 1079516736 1093622912 1108692864 1139489888 1152457056 1183604544 1184469752 1216482448 1230325776 1263577824 1264501492 1281926124 1298677208 1332528471 1368542754 1461011859 1536609408 1619275104 1640434368 1663039296 1684770432 1709234832 1728685584 1775406816 1776704628 1824723672 1845488664 1895366736 1896752238 1922889186 1948015812 2052814131 2159033472 2278979776 2304914112 2367209088 2368939504 2432964896 2460651552 2527155648 2529002984 2563852248 2597354416 2665056942 2737085508 2813115661 2845128357 2922023718 3238550208 3280868736 3326078592 3418469664 3457371168 3550813632 3553409256 3649447344 3690977328 3790733472 3793504476 3845778372 3896031624 3997585413 4105628262 4383035577 4557959552 4609828224 4737879008 4865929792 4921303104 5054311296 5058005968 5127704496 5194708832 5330113884 5474171016 5626231322 5690256714 5844047436 6006382087 6477100416 6836939328 6914742336 7101627264 7106818512 7298894688 7381954656 7581466944 7587008952 7691556744 7792063248 7995170826 8211256524 8439346983 8535385071 8766071154 9475758016 9731859584 9842606208 10116011936 10255408992 10389417664 10660227768 10948342032 11252462644 11380513428 11688094872 11696638801 12012764174 13673878656 13829484672 14213637024 14597789376 14763909312 15162933888 15174017904 15383113488 15584126496 15990341652 16422513048 16878693966 17070770142 17532142308 18019146261 18951516032 20232023872 20510817984 20778835328 21320455536 21896684064 22504925288 22761026856 23376189744 23393277602 24025528348 25318040949 28427274048 29195578752 29527818624 30348035808 30766226976 31168252992 31980683304 32845026096 33757387932 34141540284 35064284616 35089916403 36038292522 40464047744 41021635968 42640911072 43793368128 45009850576 45522053712 46752379488 46786555204 48051056696 50636081898 54057438783 56854548096 60696071616 61532453952 62336505984 63961366608 65690052192 67514775864 68283080568 70128569232 70179832806 72076585044 75954122847 85281822144 87586736256 90019701152 91044107424 93504758976 93573110408 96102113392 101272163796 105269749209 108114877566 121392143232 123064907904 127922733216 131380104384 135029551728 136566161136 140257138464 140359665612 144153170088 151908245694 162172316349 170563644288 180039402304 182088214848 187009517952 187146220816 192204226784 202544327592 210539498418 216229755132 222236137219 255845466432 262760208768 270059103456 273132322272 280514276928 280719331224 288306340176 303816491388 315809247627 324344632698 360078804608 364176429696 374292441632 384408453568 405088655184 421078996836 432459510264 444472274438 511690932864 540118206912 546264644544 561028553856 561438662448 576612680352 607632982776 631618495254 648689265396 666708411657 748584883264 768816907136 810177310368 842157993672 864919020528 888944548876 1080236413824 1092529289088 1122877324896 1153225360704 1215265965552 1263236990508 1297378530792 1333416823314 1497169766528 1620354620736 1684315987344 1729838041056 1777889097752 2000125234971 2245754649792 2306450721408 2430531931104 2526473981016 2594757061584 2666833646628 3240709241472 3368631974688 3459676082112 3555778195504 4000250469942 4491509299584 4861063862208 5052947962032 5189514123168 5333667293256 6000375704913 6737263949376 6919352164224 7111556391008 8000500939884 9722127724416 10105895924064 10379028246336 10667334586512 12000751409826 13474527898752 14223112782016 16001001879768 20211791848128 20758056492672 21334669173024 24001502819652 28446225564032 32002003759536 40423583696256 42669338346048 48003005639304 64004007519072 85338676692096 96006011278608 128008015038144 192012022557216 256016030076288 384024045114432 768048090228864
- Sum of all divisors σ(n): 2483831159964000
- Sum of proper divisors (its aliquot sum) s(n): 1715783069735136
- 768048090228864 is an abundant number, because the sum of its proper divisors (1715783069735136) is greater than itself. Its abundance is 947734979506272
Bases of 768048090228864
- Binary: 101011101010001001001000011001011010101000100000002
- Hexadecimal: 0x2BA892196A880
- Base-36: 7K90F6IAO0
Squares and roots of 768048090228864
- 768048090228864 squared (7680480902288642) is 589897868904205216191898730496
- 768048090228864 cubed (7680480902288643) is 453069931641951595133116916029420263696236544
-
The
square root of 768048090228864 is 27713680.5608505201 -
The
cube root of 768048090228864 is 91579.0508077709
Scales and comparisons
How big is 768048090228864?- 768,048,090,228,864 seconds is equal to 24,421,553 years, 28 weeks, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 768,048,090,228,864 would take you about sixty-one million, fifty-three thousand, eight hundred eighty-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 768048090228864 cubic inches would be around 7631.6 feet tall.
Recreational maths with 768048090228864
- 768048090228864 backwards is 468822090840867
- 768048090228864 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 768048090228864's digits is 72
- More coming soon!
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The information we have on file for 768048090228864 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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