138728001037926400
138,728,001,037,926,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 138728001037926400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 855 divisors.
138728001037926400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred fifty-five divisors.
Prime factorization of 138728001037926400:
218 × 52 × 294 × 1732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 29 × 29 × 29 × 29 × 173 × 173)See below for interesting mathematical facts about the number 138728001037926400 from the Numbermatics database.
Names of 138728001037926400
- Cardinal: 138728001037926400 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-eight trillion, one billion, thirty-seven million, nine hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.387280010379264 × 1017
Factors of 138728001037926400
Divisors of 138728001037926400
- Number of divisors d(n): 855
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 173 200 232 256 290 320 346 400 464 512 580 640 692 725 800 841 865 928 1024 1160 1280 1384 1450 1600 1682 1730 1856 2048 2320 2560 2768 2900 3200 3364 3460 3712 4096 4205 4325 4640 5017 5120 5536 5800 6400 6728 6920 7424 8192 8410 8650 9280 10034 10240 11072 11600 12800 13456 13840 14848 16384 16820 17300 18560 20068 20480 21025 22144 23200 24389 25085 25600 26912 27680 29696 29929 32768 33640 34600 37120 40136 40960 42050 44288 46400 48778 50170 51200 53824 55360 59392 59858 65536 67280 69200 74240 80272 81920 84100 88576 92800 97556 100340 102400 107648 110720 118784 119716 121945 125425 131072 134560 138400 145493 148480 149645 160544 163840 168200 177152 185600 195112 200680 204800 215296 221440 237568 239432 243890 250850 262144 269120 276800 290986 296960 299290 321088 327680 336400 354304 371200 390224 401360 409600 430592 442880 475136 478864 487780 501700 538240 553600 581972 593920 598580 609725 642176 655360 672800 707281 708608 727465 742400 748225 780448 802720 819200 861184 867941 885760 950272 957728 975560 1003400 1076480 1107200 1163944 1187840 1197160 1219450 1284352 1310720 1345600 1414562 1417216 1454930 1484800 1496450 1560896 1605440 1638400 1722368 1735882 1771520 1900544 1915456 1951120 2006800 2152960 2214400 2327888 2375680 2394320 2438900 2568704 2691200 2829124 2834432 2909860 2969600 2992900 3121792 3210880 3276800 3444736 3471764 3536405 3543040 3637325 3801088 3830912 3902240 4013600 4219297 4305920 4339705 4428800 4655776 4751360 4788640 4877800 5137408 5382400 5658248 5668864 5819720 5939200 5985800 6243584 6421760 6553600 6889472 6943528 7072810 7086080 7274650 7602176 7661824 7804480 8027200 8438594 8611840 8679410 8857600 9311552 9502720 9577280 9755600 10274816 10764800 11316496 11337728 11639440 11878400 11971600 12487168 12843520 13778944 13887056 14145620 14172160 14549300 15323648 15608960 16054400 16877188 17223680 17358820 17682025 17715200 18623104 19005440 19154560 19511200 20549632 21096485 21529600 21698525 22632992 22675456 23278880 23756800 23943200 24974336 25170289 25687040 27557888 27774112 28291240 28344320 29098600 30647296 31217920 32108800 33754376 34447360 34717640 35364050 35430400 37246208 38010880 38309120 39022400 41099264 42192970 43059200 43397050 45265984 45350912 46557760 47513600 47886400 49948672 50340578 51374080 55115776 55548224 56582480 56688640 58197200 61294592 62435840 64217600 67508752 68894720 69435280 70728100 70860800 74492416 76618240 78044800 82198528 84385940 86118400 86794100 90531968 93115520 95027200 95772800 99897344 100681156 102748160 105482425 110231552 111096448 113164960 113377280 116394400 122359613 122589184 124871680 125851445 128435200 135017504 137789440 138870560 141456200 141721600 148984832 153236480 156089600 164397056 168771880 172236800 173588200 181063936 186231040 190054400 191545600 199794688 201362312 205496320 210964850 220463104 222192896 226329920 226754560 232788800 244719226 245178368 249743360 251702890 256870400 270035008 275578880 277741120 282912400 283443200 297969664 306472960 312179200 328794112 337543760 344473600 347176400 362127872 372462080 383091200 399589376 402724624 410992640 421929700 444385792 452659840 465577600 489438452 490356736 499486720 503405780 513740800 540070016 551157760 555482240 565824800 566886400 595939328 611798065 612945920 624358400 629257225 657588224 675087520 688947200 694352800 724255744 729938381 744924160 766182400 799178752 805449248 821985280 843859400 888771584 905319680 931155200 978876904 980713472 998973440 1006811560 1027481600 1080140032 1102315520 1110964480 1131649600 1133772800 1191878656 1223596130 1225891840 1248716800 1258514450 1315176448 1350175040 1377894400 1388705600 1448511488 1459876762 1489848320 1532364800 1598357504 1610898496 1643970560 1687718800 1777543168 1810639360 1862310400 1957753808 1961426944 1997946880 2013623120 2054963200 2160280064 2221928960 2263299200 2383757312 2447192260 2451783680 2497433600 2517028900 2700350080 2755788800 2777411200 2897022976 2919753524 2979696640 3058990325 3064729600 3196715008 3221796992 3287941120 3375437600 3555086336 3621278720 3649691905 3724620800 3915507616 3922853888 3995893760 4027246240 4109926400 4320560128 4443857920 4526598400 4767514624 4894384520 4903567360 4994867200 5034057800 5400700160 5511577600 5554822400 5794045952 5839507048 5959393280 6117980650 6129459200 6393430016 6443593984 6575882240 6750875200 7110172672 7242557440 7299383810 7449241600 7831015232 7845707776 7991787520 8054492480 8219852800 8641120256 8887715840 9053196800 9535029248 9788769040 9807134720 9989734400 10068115600 10801400320 11109644800 11588091904 11679014096 11918786560 12235961300 12258918400 12887187968 13501750400 14220345344 14485114880 14598767620 14898483200 15662030464 15983575040 16108984960 16439705600 17282240512 17775431680 18106393600 18248459525 19070058496 19577538080 19614269440 19979468800 20136231200 21168213049 21602800640 22219289600 23176183808 23358028192 23837573120 24471922600 24517836800 25774375936 27003500800 28440690688 28970229760 29197535240 29796966400 31324060928 31967150080 32217969920 32879411200 34564481024 35550863360 36212787200 36496919050 38140116992 39155076160 39228538880 39958937600 40272462400 42336426098 43205601280 44438579200 46352367616 46716056384 47675146240 48943845200 49035673600 51548751872 54007001600 56881381376 57940459520 58395070480 59593932800 62648121856 64435939840 69128962048 71101726720 72425574400 72993838100 78310152320 79917875200 80544924800 84672852196 86411202560 88877158400 92704735232 93432112768 95350292480 97887690400 98071347200 103097503744 105841065245 108014003200 113762762752 115880919040 116790140960 119187865600 125296243712 128871879680 138257924096 142203453440 144851148800 145987676200 156620304640 159835750400 161089849600 169345704392 172822405120 177754316800 185409470464 186864225536 190700584960 195775380800 196142694400 206195007488 211682130490 216028006400 227525525504 231761838080 233580281920 238375731200 250592487424 257743759360 276515848192 284406906880 289702297600 291975352400 313240609280 322179699200 338691408784 345644810240 355508633600 373728451072 391550761600 412390014976 423364260980 432056012800 463523676160 467160563840 476751462400 501184974848 515487518720 529205326225 553031696384 568813813760 579404595200 583950704800 626481218560 644359398400 677382817568 691289620480 711017267200 747456902144 783101523200 824780029952 846728521960 864112025600 927047352320 934321127680 953502924800 1002369949696 1030975037440 1058410652450 1106063392768 1137627627520 1158809190400 1167901409600 1252962437120 1288718796800 1354765635136 1382579240960 1422034534400 1494913804288 1566203046400 1649560059904 1693457043920 1728224051200 1868642255360 2004739899392 2061950074880 2116821304900 2317618380800 2335802819200 2505924874240 2577437593600 2709531270272 2765158481920 2844069068800 2989827608576 3132406092800 3299120119808 3386914087840 3456448102400 3737284510720 4009479798784 4123900149760 4233642609800 4635236761600 4671605638400 5011849748480 5154875187200 5419062540544 5530316963840 5688138137600 5979655217152 6264812185600 6598240239616 6773828175680 6912896204800 7474569021440 8018959597568 8247800299520 8467285219600 9343211276800 10023699496960 10309750374400 10838125081088 11959310434304 12529624371200 13547656351360 13825792409600 14949138042880 16037919195136 16495600599040 16934570439200 18686422553600 20047398993920 20619500748800 21676250162176 23918620868608 25059248742400 27095312702720 27651584819200 29898276085760 32075838390272 32991201198080 33869140878400 37372845107200 40094797987840 41239001497600 43352500324352 47837241737216 50118497484800 54190625405440 59796552171520 67738281756800 74745690214400 80189595975680 82478002995200 86705000648704 95674483474432 100236994969600 108381250810880 119593104343040 135476563513600 149491380428800 160379191951360 164956005990400 173410001297408 191348966948864 200473989939200 216762501621760 239186208686080 270953127027200 298982760857600 346820002594816 400947979878400 433525003243520 478372417372160 541906254054400 597965521715200 693640005189632 801895959756800 867050006487040 956744834744320 1083812508108800 1195931043430400 1387280010379264 1734100012974080 2167625016217600 2391862086860800 2774560020758528 3468200025948160 4335250032435200 4783724173721600 5549120041517056 6936400051896320 8670500064870400 13872800103792640 17341000129740800 27745600207585280 34682000259481600 69364000518963200 138728001037926400
- Sum of all divisors σ(n): 358403711720701531
- Sum of proper divisors (its aliquot sum) s(n): 219675710682775131
- 138728001037926400 is an abundant number, because the sum of its proper divisors (219675710682775131) is greater than itself. Its abundance is 80947709644848731
Bases of 138728001037926400
- Binary: 1111011001101110001100001110001100100010000000000000000002
- Hexadecimal: 0x1ECDC61C6440000
- Base-36: 11XYYZV350CG
Squares and roots of 138728001037926400
- 138728001037926400 squared (1387280010379264002) is 19245458271978908315691211816960000
- 138728001037926400 cubed (1387280010379264003) is 2669883955130459213404499616978669872814751744000000
-
138728001037926400 is a
perfect square number . Itssquare root is 372462080 -
The
cube root of 138728001037926400 is 517672.0406785963
Scales and comparisons
How big is 138728001037926400?- 138,728,001,037,926,400 seconds is equal to 4,411,121,319 years, 6 weeks, 3 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,728,001,037,926,400 would take you about thirteen billion, two hundred thirty-three million, three hundred sixty-three thousand, nine hundred fifty-seven 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 138728001037926400 cubic inches would be around 43139.3 feet tall.
Recreational maths with 138728001037926400
- 138728001037926400 backwards is 004629730100827831
- The number of decimal digits it has is: 18
- The sum of 138728001037926400's digits is 61
- More coming soon!
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The information we have on file for 138728001037926400 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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