138228698078248960
138,228,698,078,248,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138228698078248960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138228698078248960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138228698078248960:
219 × 5 × 7 × 132 × 9091 × 4903
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 9091 × 4903)See below for interesting mathematical facts about the number 138228698078248960 from the Numbermatics database.
Names of 138228698078248960
- Cardinal: 138228698078248960 can be written as One hundred thirty-eight quadrillion, two hundred twenty-eight trillion, six hundred ninety-eight billion, seventy-eight million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3822869807824896 × 1017
Factors of 138228698078248960
Divisors of 138228698078248960
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 169 182 208 224 256 260 280 320 338 364 416 448 455 512 520 560 640 676 728 832 845 896 910 1024 1040 1120 1183 1280 1352 1456 1664 1690 1792 1820 2048 2080 2240 2366 2560 2704 2912 3328 3380 3584 3640 4096 4160 4480 4732 4903 5120 5408 5824 5915 6656 6760 7168 7280 8192 8320 8960 9091 9464 9806 10240 10816 11648 11830 13312 13520 14336 14560 16384 16640 17920 18182 18928 19612 20480 21632 23296 23660 24515 26624 27040 28672 29120 32768 33280 34321 35840 36364 37856 39224 40960 43264 45455 46592 47320 49030 53248 54080 57344 58240 63637 63739 65536 66560 68642 71680 72728 75712 78448 81920 86528 90910 93184 94640 98060 106496 108160 114688 116480 118183 127274 127478 131072 133120 137284 143360 145456 151424 156896 163840 171605 173056 181820 186368 189280 196120 212992 216320 229376 232960 236366 254548 254956 262144 266240 274568 286720 290912 302848 313792 318185 318695 327680 343210 346112 363640 372736 378560 392240 425984 432640 446173 458752 465920 472732 509096 509912 524288 532480 549136 573440 581824 590915 605696 627584 636370 637390 655360 686420 692224 727280 745472 757120 784480 827281 828607 851968 865280 892346 917504 931840 945464 1018192 1019824 1064960 1098272 1146880 1163648 1181830 1211392 1255168 1272740 1274780 1310720 1372840 1384448 1454560 1490944 1514240 1536379 1568960 1654562 1657214 1703936 1730560 1784692 1835008 1863680 1890928 2036384 2039648 2129920 2196544 2230865 2293760 2327296 2363660 2422784 2510336 2545480 2549560 2621440 2745680 2768896 2909120 2981888 3028480 3072758 3137920 3309124 3314428 3407872 3461120 3569384 3670016 3727360 3781856 4072768 4079296 4136405 4143035 4259840 4393088 4461730 4587520 4654592 4727320 4845568 5020672 5090960 5099120 5491360 5537792 5800249 5818240 5963776 6056960 6145516 6275840 6618248 6628856 6815744 6922240 7138768 7454720 7563712 7681895 8145536 8158592 8272810 8286070 8519680 8786176 8923460 9175040 9309184 9454640 9691136 10041344 10181920 10198240 10754653 10982720 11075584 11600498 11636480 11927552 12113920 12291032 12551680 13236496 13257712 13844480 14277536 14909440 15127424 15363790 16291072 16317184 16545620 16572140 17039360 17572352 17846920 18350080 18618368 18909280 19382272 20082688 20363840 20396480 21509306 21965440 22151168 23200996 23272960 23855104 24227840 24582064 25103360 26472992 26515424 27688960 28555072 29001245 29818880 30254848 30727580 32582144 32634368 33091240 33144280 34078720 35144704 35693840 37236736 37818560 38764544 40165376 40727680 40792960 43018612 43930880 44302336 44573173 46401992 46545920 47710208 48455680 49164128 50206720 52945984 53030848 53773265 55377920 57110144 58002490 59637760 60509696 61455160 65164288 65268736 66182480 66288560 70289408 71387680 74473472 75637120 77529088 80330752 81455360 81585920 86037224 87861760 88604672 89146346 92803984 93091840 96911360 98328256 100413440 105891968 106061696 107546530 110755840 114220288 116004980 119275520 121019392 122910320 130328576 130537472 132364960 132577120 140578816 142775360 148946944 151274240 155058176 160661504 162910720 163171840 172074448 175723520 178292692 185607968 186183680 193822720 196656512 200826880 211783936 212123392 215093060 221511680 222865865 228440576 232009960 238551040 242038784 245820640 260657152 261074944 264729920 265154240 281157632 285550720 297893888 302548480 310116352 312012211 321323008 325821440 326343680 344148896 351447040 356585384 371215936 372367360 387645440 393313024 401653760 423567872 424246784 430186120 443023360 445731730 456881152 464019920 484077568 491641280 521314304 522149888 529459840 530308480 562315264 571101440 579451249 595787776 605096960 620232704 624024422 642646016 651642880 652687360 688297792 702894080 713170768 742431872 744734720 775290880 786626048 803307520 847135744 848493568 860372240 891463460 913762304 928039840 968155136 983282560 1042628608 1044299776 1058919680 1060616960 1124630528 1142202880 1158902498 1191575552 1210193920 1248048844 1285292032 1303285760 1305374720 1376595584 1405788160 1426341536 1484863744 1489469440 1550581760 1560061055 1573252096 1606615040 1694271488 1696987136 1720744480 1782926920 1827524608 1856079680 1936310272 1966565120 2085257216 2088599552 2117839360 2121233920 2249261056 2284405760 2317804996 2383151104 2420387840 2496097688 2570584064 2606571520 2610749440 2753191168 2811576320 2852683072 2897256245 2969727488 2978938880 3101163520 3120122110 3146504192 3213230080 3388542976 3393974272 3441488960 3565853840 3655049216 3712159360 3872620544 3933130240 4056158743 4170514432 4177199104 4235678720 4242467840 4498522112 4568811520 4635609992 4766302208 4840775680 4992195376 5213143040 5221498880 5506382336 5623152640 5705366144 5794512490 5939454976 5957877760 6240244220 6293008384 6426460160 6777085952 6787948544 6882977920 7131707680 7310098432 7424318720 7532866237 7745241088 7866260480 8112317486 8341028864 8354398208 8471357440 8484935680 8997044224 9137623040 9271219984 9681551360 9984390752 10426286080 10442997760 11012764672 11246305280 11410732288 11589024980 11878909952 11915755520 12480488440 12586016768 12852920320 13554171904 13575897088 13765955840 14263415360 14620196864 14848637440 15065732474 15490482176 15732520960 16224634972 16682057728 16708796416 16942714880 16969871360 17994088448 18275246080 18542439968 19363102720 19968781504 20280793715 20852572160 20885995520 22025529344 22492610560 22821464576 23178049960 23757819904 23831511040 24960976880 25172033536 27108343808 27151794176 27531911680 28526830720 29240393728 29697274880 30131464948 30980964352 31465041920 32449269944 33364115456 33417592832 33885429760 33939742720 36550492160 37084879936 37664331185 38726205440 39937563008 40561587430 41705144320 41771991040 44051058688 44985221120 45642929152 46356099920 47515639808 49921953760 50344067072 52730063659 54216687616 54303588352 55063823360 57053661440 58480787456 59394549760 60262929896 61961928704 62930083840 64898539888 67770859520 67879485440 73100984320 74169759872 75328662370 77452410880 79875126016 81123174860 83410288640 83543982080 88102117376 89970442240 91285858304 92712199840 95031279616 99843907520 100688134144 105460127318 108433375232 108607176704 110127646720 114107322880 116961574912 118789099520 120525859792 125860167680 129797079776 135541719040 135758970880 146201968640 148339519744 150657324740 154904821760 159750252032 162246349720 166820577280 167087964160 176204234752 182571716608 185424399680 190062559232 199687815040 201376268288 210920254636 216866750464 217214353408 220255293440 228214645760 233923149824 237578199040 241051719584 251720335360 259594159552 263650318295 271083438080 271517941760 292403937280 296679039488 301314649480 309809643520 319500504064 324492699440 352408469504 365143433216 370848799360 380125118464 399375630080 402752536576 421840509272 433733500928 434428706816 440510586880 456429291520 475156398080 482103439168 503440670720 519188319104 527300636590 542166876160 543035883520 584807874560 593358078976 602629298960 639001008128 648985398880 704816939008 730286866432 741697598720 760250236928 798751260160 805505073152 843681018544 881021173760 912858583040 950312796160 964206878336 1006881341440 1038376638208 1054601273180 1084333752320 1086071767040 1169615749120 1186716157952 1205258597920 1278002016256 1297970797760 1409633878016 1460573732864 1483395197440 1520500473856 1597502520320 1687362037088 1762042347520 1825717166080 1900625592320 1928413756672 2013762682880 2076753276416 2109202546360 2168667504640 2172143534080 2373432315904 2410517195840 2556004032512 2595941595520 2819267756032 2921147465728 2966790394880 3041000947712 3195005040640 3374724074176 3524084695040 3651434332160 3801251184640 3856827513344 4027525365760 4153506552832 4218405092720 4746864631808 4821034391680 5112008065024 5191883191040 5638535512064 5842294931456 5933580789760 6390010081280 6749448148352 7048169390080 7302868664320 7602502369280 7713655026688 8307013105664 8436810185440 9493729263616 9642068783360 10224016130048 10383766382080 11684589862912 11867161579520 12780020162560 13498896296704 14096338780160 14605737328640 15205004738560 15427310053376 16614026211328 16873620370880 18987458527232 19284137566720 20448032260096 20767532764160 23369179725824 23734323159040 25560040325120 26997792593408 28192677560320 29211474657280 30854620106752 33228052422656 33747240741760 37974917054464 38568275133440 40896064520192 41535065528320 47468646318080 51120080650240 53995585186816 58422949314560 61709240213504 66456104845312 67494481483520 75949834108928 77136550266880 81792129040384 83070131056640 94937292636160 102240161300480 107991170373632 116845898629120 123418480427008 132912209690624 134988962967040 151899668217856 154273100533760 163584258080768 166140262113280 189874585272320 204480322600960 215982340747264 246836960854016 265824419381248 269977925934080 303799336435712 308546201067520 332280524226560 379749170544640 408960645201920 431964681494528 493673921708032 531648838762496 539955851868160 617092402135040 664561048453120 759498341089280 817921290403840 863929362989056 987347843416064 1063297677524992 1079911703736320 1234184804270080 1329122096906240 1518996682178560 1727858725978112 1974695686832128 2126595355049984 2159823407472640 2468369608540160 2658244193812480 3455717451956224 3949391373664256 4319646814945280 4936739217080320 5316488387624960 6911434903912448 8639293629890560 9873478434160640 10632976775249920 13822869807824896 17278587259781120 19746956868321280 27645739615649792 34557174519562240 69114349039124480 138228698078248960
- Sum of all divisors σ(n): 410678261398310400
- Sum of proper divisors (its aliquot sum) s(n): 272449563320061440
- 138228698078248960 is an abundant number, because the sum of its proper divisors (272449563320061440) is greater than itself. Its abundance is 134220865241812480
Bases of 138228698078248960
- Binary: 1111010110001011001000100101111101011100000000000000000002
- Hexadecimal: 0x1EB1644BEB80000
- Base-36: 11T1ZF90KFLS
Squares and roots of 138228698078248960
- 138228698078248960 squared (1382286980782489602) is 19107172972407707727431059741081600
- 138228698078248960 cubed (1382286980782489603) is 2641159643931823777958346098425370576194304475136000
-
The
square root of 138228698078248960 is 371791202.2604205733 -
The
cube root of 138228698078248960 is 517050.2342211481
Scales and comparisons
How big is 138228698078248960?- 138,228,698,078,248,960 seconds is equal to 4,395,245,029 years, 23 weeks, 3 days, 11 hours, 22 minutes, 40 seconds.
-
To count from 1 to 138,228,698,078,248,960 would take you about thirteen billion, one hundred eighty-five million, seven hundred thirty-five thousand and eighty-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 138228698078248960 cubic inches would be around 43087.5 feet tall.
Recreational maths with 138228698078248960
- 138228698078248960 backwards is 069842870896822831
- 138228698078248960 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138228698078248960's digits is 91
- More coming soon!
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The information we have on file for 138228698078248960 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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