12338918317056320
12,338,918,317,056,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 12338918317056320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
12338918317056320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 12338918317056320:
26 × 5 × 114 × 192 × 372 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 11 × 19 × 19 × 37 × 37 × 73 × 73)See below for interesting mathematical facts about the number 12338918317056320 from the Numbermatics database.
Names of 12338918317056320
- Cardinal: 12338918317056320 can be written as Twelve quadrillion, three hundred thirty-eight trillion, nine hundred eighteen billion, three hundred seventeen million, fifty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.233891831705632 × 1016
Factors of 12338918317056320
Divisors of 12338918317056320
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 32 37 38 40 44 55 64 73 74 76 80 88 95 110 121 146 148 152 160 176 185 190 209 220 242 292 296 304 320 352 361 365 370 380 407 418 440 484 584 592 605 608 703 704 722 730 740 760 803 814 836 880 968 1045 1168 1184 1210 1216 1331 1369 1387 1406 1444 1460 1480 1520 1606 1628 1672 1760 1805 1936 2035 2090 2299 2336 2368 2420 2662 2701 2738 2774 2812 2888 2920 2960 3040 3212 3256 3344 3515 3520 3610 3872 3971 4015 4070 4180 4477 4598 4672 4840 5324 5329 5402 5476 5548 5624 5776 5840 5920 6080 6424 6512 6655 6688 6845 6935 7030 7220 7733 7744 7942 8030 8140 8360 8833 8954 9196 9680 10648 10658 10804 10952 11096 11248 11495 11552 11680 11840 12848 13024 13310 13357 13376 13505 13690 13870 14060 14440 14641 15059 15257 15466 15884 16060 16280 16720 17666 17908 18392 19360 19855 21296 21316 21608 21904 22192 22385 22496 22990 23104 23360 25289 25696 26011 26048 26353 26620 26645 26714 27010 27380 27740 28120 28880 29282 29711 30118 30514 30932 31768 32120 32560 33440 35332 35816 36784 38665 38720 39710 42592 42632 43216 43681 43808 44165 44384 44770 44992 45980 49247 50578 51319 51392 52022 52706 53240 53290 53428 54020 54760 55480 56240 57760 58564 58619 59422 60236 61028 61864 63536 64240 65120 66785 66880 70664 71632 73205 73568 75295 76285 77330 79420 85063 85184 85264 86432 87362 87616 88330 88768 89540 91960 97163 98494 99937 101156 101251 102638 104044 105412 106480 106580 106856 108040 109520 110960 112480 115520 117128 117238 118844 120472 122056 123728 126445 127072 128480 130055 130240 131765 133570 141328 143264 146410 146927 147136 148555 150590 152570 154660 158840 165649 167827 170126 170528 172864 174724 176660 179080 183920 194326 196988 197173 199874 202312 202502 205276 208088 210824 212960 213160 213712 216080 218405 219040 221920 224960 234256 234476 237688 240944 244112 246235 247456 252890 254144 256595 256960 260110 263530 267140 278179 282656 286121 286528 289883 292820 293095 293854 297110 301180 305140 309320 317680 326821 331298 335654 340252 341056 349448 353320 358160 367840 388652 393976 394346 399748 404624 405004 410552 416176 421648 425315 425920 426320 427424 432160 436810 438080 443840 468512 468952 475376 480491 481888 485815 488224 492470 494209 494912 499685 505780 506255 513190 520220 527060 534280 541717 556358 564509 565312 572242 579766 585640 586190 587708 594220 602360 610280 618640 635360 644809 653642 662596 671308 680504 698896 706640 716320 734635 735680 777304 787952 788692 799496 809248 810008 821104 828245 832352 839135 843296 850630 852640 854848 864320 873620 935693 937024 937904 950752 960982 963776 971630 975061 976448 984940 985865 988418 999370 1011560 1012510 1026380 1040440 1054120 1068560 1068793 1083434 1099307 1112716 1113761 1129018 1144484 1159532 1171280 1172380 1175416 1188440 1204720 1220560 1237280 1270720 1289618 1307284 1325192 1342616 1361008 1390895 1397792 1413280 1430605 1432640 1449415 1469270 1554608 1575904 1577384 1598992 1616197 1618496 1620016 1634105 1642208 1656490 1664704 1678270 1686592 1701260 1705280 1747240 1822139 1846097 1871386 1875808 1898803 1901504 1921964 1923769 1943260 1950122 1969880 1971730 1976836 1998740 2023120 2025020 2052760 2080880 2108240 2137120 2137586 2166868 2168903 2198614 2225432 2227522 2258036 2288968 2319064 2342560 2344760 2350832 2376880 2402455 2409440 2441120 2471045 2474560 2579236 2614568 2650384 2685232 2708585 2722016 2781790 2795584 2822545 2826560 2861210 2898830 2938540 3109216 3147331 3151808 3154768 3188713 3197984 3224045 3232394 3240032 3268210 3284416 3312980 3356540 3402520 3494480 3595031 3644278 3692194 3742772 3746287 3751616 3797606 3843928 3847538 3886520 3900244 3939760 3943460 3953672 3997480 4046240 4050040 4105520 4161760 4216480 4274240 4275172 4333736 4337806 4397228 4450864 4455044 4516072 4577936 4638128 4678465 4685120 4689520 4701664 4753760 4804910 4818880 4875305 4882240 4942090 5158472 5229136 5285401 5300768 5343965 5370464 5417170 5436299 5444032 5496535 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28970037371 29011246528 29263552340 29648317820 30054459160 30466164080 30494776180 30866741840 31289573920 31318959320 31747986160 33544253798 34450855252 34922784776 35309740840 36178569845 36264058160 36760826080 37244167840 37754361920 38840714924 39890463976 40436908688 40968584624 41529798112 41989962080 42098699456 42138236176 42565167040 43063569065 43124825920 43653480970 44356038080 46188958288 46821683744 47437308512 48018829067 48087134656 48550893655 48791641888 49863079970 50110334912 50546135860 51210730780 51912247640 52623374320 52672795220 54849387967 55600749446 56331803858 56495585344 57103472404 57736197860 57885711752 57940074742 58527104680 59296635640 60108918320 60932328160 60989552360 61733483680 62579147840 62637918640 63495972320 67088507596 68901710504 69845569552 70619481680 71379340505 72357139690 72528116320 73521652160 74488335680 77681429848 79780927952 80873817376 81937169248 83059596224 83860634495 83979924160 84276472352 86127138130 87306961940 92377916576 93643367488 94739851943 94874617024 96037658134 97101787310 97583283776 99726159940 101092271720 102421461560 103824495280 105246748640 105345590440 106811966041 109698775934 111201498892 112663607716 114206944808 115472395720 115771423504 115880149484 117054209360 118593271280 120217836640 121864656320 121979104720 123466967360 125275837280 126991944640 134177015192 137803421008 139001873615 139691139104 140829509645 141238963360 142758681010 144714279380 144850186855 145056232640 155362859696 159561855904 161747634752 163874338496 167721268990 168552944704 172254276260 174613923880 184493395889 184755833152 189479703886 192075316268 194203574620 199452319880 202184543440 204842923120 207648990560 210493497280 210691180880 213623932082 219397551868 222402997784 225327215432 228413889616 230944791440 231542847008 231760298968 234108418720 237186542560 240094145335 240435673280 243958209440 250551674560 268354030384 274246939835 275606842016 278003747230 279382278208 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1274681644324 1341770151920 1378034210080 1396911391040 1475947167112 1515837631088 1536602530144 1553628596960 1593352055405 1595618559040 1708991456656 1755180414944 1779223982272 1802617723456 1844933958890 1854082391744 1894797038860 1920753162680 2029427354779 2084276742746 2112828478948 2136239320820 2193975518680 2224029977840 2253272154320 2284138896160 2315428470080 2317602989680 2549363288648 2641035598685 2683540303840 2756068420160 2951894334224 3031675262176 3073205060288 3107257193920 3186704110810 3417982913312 3505374521891 3510360829888 3689867917780 3789594077720 3841506325360 4058854709558 4168553485492 4225656957896 4272478641640 4387951037360 4448059955680 4506544308640 4568277792320 4635205979360 5098726577296 5210691856865 5282071197370 5367080607680 5903788668448 6063350524352 6373408221620 6835965826624 7010749043782 7379735835560 7579188155440 7683012650720 8117709419116 8337106970984 8451313915792 8544957283280 8775902074720 8896119911360 9013088617280 9270411958720 10147136773895 10197453154592 10421383713730 10564142394740 11807577336896 12746816443240 14021498087564 14759471671120 15158376310880 15366025301440 16235418838232 16674213941968 16902627831584 17089914566560 17526872609455 17551804149440 20294273547790 20394906309184 20842767427460 21128284789480 25493632886480 28042996175128 29518943342240 30316752621760 32470837676464 33348427883936 33805255663168 34179829133120 35053745218910 38559119740801 40588547095580 41685534854920 42256569578960 50987265772960 56085992350256 59037886684480 64941675352928 66696855767872 70107490437820 77118239481602 81177094191160 83371069709840 84513139157920 101974531545920 112171984700512 129883350705856 140214980875640 154236478963204 162354188382320 166742139419680 169026278315840 192795598704005 224343969401024 280429961751280 308472957926408 324708376764640 333484278839360 385591197408010 560859923502560 616945915852816 649416753529280 771182394816020 1121719847005120 1233891831705632 1542364789632040 2467783663411264 3084729579264080 6169459158528160 12338918317056320
- Sum of all divisors σ(n): 35544281615972010
- Sum of proper divisors (its aliquot sum) s(n): 23205363298915690
- 12338918317056320 is an abundant number, because the sum of its proper divisors (23205363298915690) is greater than itself. Its abundance is 10866444981859370
Bases of 12338918317056320
- Binary: 1010111101011000101110010010110011001101100001010000002
- Hexadecimal: 0x2BD62E4B336140
- Base-36: 3DHS4TKJMM8
Squares and roots of 12338918317056320
- 12338918317056320 squared (123389183170563202) is 152248905234987968248230051942400
- 12338918317056320 cubed (123389183170563203) is 1878586805555764889035534713113681105466195968000
-
The
square root of 12338918317056320 is 111080683.8161177327 -
The
cube root of 12338918317056320 is 231078.2286414633
Scales and comparisons
How big is 12338918317056320?- 12,338,918,317,056,320 seconds is equal to 392,339,435 years, 36 weeks, 3 days, 13 hours, 25 minutes, 20 seconds.
-
To count from 1 to 12,338,918,317,056,320 would take you about one billion, one hundred seventy-seven million, eighteen thousand, three hundred 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 12338918317056320 cubic inches would be around 19256.5 feet tall.
Recreational maths with 12338918317056320
- 12338918317056320 backwards is 02365071381983321
- The number of decimal digits it has is: 17
- The sum of 12338918317056320's digits is 62
- More coming soon!
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Cite this page
MLA style:
"Number 12338918317056320 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 12338918317056320 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/12338918317056320/
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Numbermatics. 2024. "Number 12338918317056320 - Facts about the integer". https://numbermatics.com/n/12338918317056320/
The information we have on file for 12338918317056320 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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