13038012074489740800
13,038,012,074,489,740,800 is an even composite number composed of seven prime numbers multiplied together.
13038012074489740800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13038012074489740800:
29 × 3 × 52 × 72 × 11 × 83 × 7589502301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 11 × 83 × 7589502301)See below for interesting mathematical facts about the number 13038012074489740800 from the Numbermatics database.
Names of 13038012074489740800
- Cardinal: 13038012074489740800 can be written as Thirteen quintillion, thirty-eight quadrillion, twelve trillion, seventy-four billion, four hundred eighty-nine million, seven hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30380120744897408 × 1019
Factors of 13038012074489740800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 7589502412
Divisors of 13038012074489740800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 83 84 88 96 98 100 105 110 112 120 128 132 140 147 150 154 160 165 166 168 175 176 192 196 200 210 220 224 231 240 245 249 256 264 275 280 294 300 308 320 330 332 336 350 352 384 385 392 400 415 420 440 448 462 480 490 498 512 525 528 539 550 560 581 588 600 616 640 660 664 672 700 704 735 768 770 784 800 825 830 840 880 896 913 924 960 980 996 1050 1056 1078 1100 1120 1155 1162 1176 1200 1225 1232 1245 1280 1320 1328 1344 1400 1408 1470 1536 1540 1568 1600 1617 1650 1660 1680 1743 1760 1792 1826 1848 1920 1925 1960 1992 2075 2100 2112 2156 2200 2240 2310 2324 2352 2400 2450 2464 2490 2560 2640 2656 2688 2695 2739 2800 2816 2905 2940 3080 3136 3200 3234 3300 3320 3360 3486 3520 3584 3652 3675 3696 3840 3850 3920 3984 4067 4150 4200 4224 4312 4400 4480 4565 4620 4648 4704 4800 4900 4928 4980 5280 5312 5376 5390 5478 5600 5632 5775 5810 5880 6160 6225 6272 6391 6400 6468 6600 6640 6720 6972 7040 7304 7350 7392 7680 7700 7840 7968 8085 8134 8300 8400 8448 8624 8715 8800 8960 9130 9240 9296 9408 9600 9800 9856 9960 10560 10624 10752 10780 10956 11200 11550 11620 11760 12201 12320 12450 12544 12782 12800 12936 13200 13280 13440 13475 13695 13944 14080 14525 14608 14700 14784 15400 15680 15936 16170 16268 16600 16800 16896 17248 17430 17600 17920 18260 18480 18592 18816 19173 19200 19600 19712 19920 20335 21120 21248 21560 21912 22400 22825 23100 23240 23520 24402 24640 24900 25088 25564 25872 26400 26560 26880 26950 27390 27888 28160 29050 29216 29400 29568 30800 31360 31872 31955 32340 32536 33200 33600 34496 34860 35200 36520 36960 37184 37632 38346 38400 39200 39424 39840 40425 40670 42240 42496 43120 43575 43824 44737 44800 45650 46200 46480 47040 48804 49280 49800 51128 51744 52800 53120 53760 53900 54780 55776 58100 58432 58800 59136 61005 61600 62720 63744 63910 64680 65072 66400 67200 68475 68992 69720 70400 73040 73920 74368 75264 76692 78400 79680 80850 81340 84480 86240 87150 87648 89474 89600 91300 92400 92960 94080 95865 97608 98560 99600 101675 102256 103488 105600 106240 107800 109560 111552 116200 116864 117600 118272 122010 123200 125440 127488 127820 129360 130144 132800 134211 134400 136950 137984 139440 140800 146080 147840 148736 153384 156800 159360 159775 161700 162680 172480 174300 175296 178948 182600 184800 185920 188160 191730 195216 197120 199200 203350 204512 206976 211200 212480 215600 219120 223104 223685 232400 233728 235200 244020 246400 255640 258720 260288 265600 268422 268800 273900 275968 278880 292160 295680 297472 305025 306768 313600 318720 319550 323400 325360 344960 348600 350592 357896 365200 369600 371840 376320 383460 390432 398400 406700 409024 413952 422400 431200 438240 446208 447370 464800 467456 470400 479325 488040 492800 511280 517440 520576 531200 536844 547800 557760 584320 591360 610050 613536 627200 637440 639100 646800 650720 671055 689920 697200 701184 715792 730400 739200 743680 766920 780864 796800 813400 818048 827904 862400 876480 892416 894740 929600 940800 958650 976080 985600 1022560 1034880 1041152 1062400 1073688 1095600 1115520 1118425 1168640 1220100 1227072 1278200 1293600 1301440 1342110 1379840 1394400 1402368 1431584 1460800 1478400 1487360 1533840 1561728 1593600 1626800 1636096 1724800 1752960 1789480 1859200 1881600 1917300 1952160 2045120 2069760 2082304 2147376 2191200 2231040 2236850 2337280 2440200 2454144 2556400 2587200 2602880 2684220 2788800 2863168 2921600 2956800 3067680 3123456 3187200 3253600 3272192 3355275 3449600 3505920 3578960 3718400 3834600 3904320 4090240 4139520 4294752 4382400 4462080 4473700 4880400 4908288 5112800 5174400 5205760 5368440 5577600 5726336 5843200 6135360 6246912 6507200 6710550 6899200 7011840 7157920 7436800 7669200 7808640 8180480 8589504 8764800 8947400 9760800 9816576 10225600 10348800 10411520 10736880 11155200 11452672 11686400 12270720 13014400 13421100 14315840 15338400 15617280 16360960 17179008 17529600 17894800 19521600 20451200 20697600 21473760 22310400 22905344 24541440 26028800 26842200 28631680 30676800 31234560 34358016 35059200 35789600 39043200 40902400 42947520 49082880 52057600 53684400 57263360 61353600 68716032 71579200 78086400 81804800 85895040 107368800 114526720 122707200 143158400 156172800 171790080 214737600 245414400 286316800 343580160 429475200 572633600 858950400 1717900800 7589502301 15179004602 22768506903 30358009204 37947511505 45537013806 53126516107 60716018408 75895023010 83484525311 91074027612 106253032214 113842534515 121432036816 151790046020 159379548321 166969050622 182148055224 189737557525 212506064428 227685069030 242864073632 250453575933 265632580535 303580092040 318759096642 333938101244 364296110448 371885612749 379475115050 417422626555 425012128856 455370138060 485728147264 500907151866 531265161070 569212672575 584391677177 607160184080 629928690983 637518193284 667876202488 728592220896 743771225498 758950230100 796897741605 834845253110 850024257712 910740276120 971456294528 1001814303732 1062530322140 1115656838247 1138425345150 1168783354354 1214320368160 1252267879665 1259857381966 1275036386568 1328162902675 1335752404976 1457184441792 1487542450996 1517900460200 1593795483210 1669690506220 1700048515424 1753175031531 1821480552240 1859428063745 1889786072949 1942912589056 2003628607464 2087113132775 2125060644280 2231313676494 2276850690300 2337566708708 2428640736320 2504535759330 2519714763932 2550072773136 2656325805350 2671504809952 2914368883584 2921958385885 2975084901992 3035800920400 3149643454915 3187590966420 3339381012440 3400097030848 3506350063062 3642961104480 3718856127490 3779572145898 3885825178112 3984488708025 4007257214928 4090741740239 4174226265550 4250121288560 4409500836881 4462627352988 4553701380600 4675133417416 4857281472640 5009071518660 5039429527864 5100145546272 5312651610700 5343009619904 5578284191235 5828737767168 5843916771770 5950169803984 6071601840800 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65451867843824 66142512553215 66787620248800 68001940616960 69292156008130 70127001261240 70552013390096 71402037647808 72859222089600 74377122549800 74802134678656 75591442917960 80145144298560 80630872445824 81602328740352 81814834804780 83150587209756 85002425771200 87658751576550 88190016737620 89252547059760 92599517574501 93502668348320 94489303647450 95202716863744 97009018411382 97145629452800 98177801765736 100181430373200 100788590557280 102002910925440 102268543505975 103938234012195 105828020085144 106860192398080 110237520922025 110867449613008 111565683824700 112203202017984 116878335435400 119003396079680 120946308668736 122722252207170 123466023432668 125985738196600 127503638656800 128232230877696 130903735687648 132285025106430 133575240497600 136003881233920 138584312016260 140254002522480 141104026780192 142804075295616 145513527617073 145718444179200 148754245099600 149604269357312 151182885835920 154332529290835 160290288597120 161261744891648 163629669609560 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403154362229120 408011643701760 409074174023900 415752936048780 423312080340576 440950083688100 443469798452032 446262735298800 448812808071936 462997587872505 467513341741600 476013584318720 483785234674944 485045092056910 490889008828680 493864093730672 503942952786400 510014554627200 519691170060975 523614942750592 529140100425720 534300961990400 554337248065040 561016010089920 564416107120768 571216301182464 582054110468292 595016980398400 604731543343680 613611261035850 617330117163340 641161154388480 654518678438240 661425125532150 665204697678048 679063128879674 680019406169600 692921560081300 701270012612400 705520133900960 714020376478080 727567638085365 740796140596008 748021346786560 755914429179600 771662646454175 776072147291056 785422414125888 801451442985600 806308724458240 818148348047800 831505872097560 846624160681152 881900167376200 886939596904064 892525470597600 897625616143872 925995175745010 935026683483200 952027168637440 967570469349888 970090184113820 981778017657360 987728187461344 1007885905572800 1018594693319511 1020029109254400 1039382340121950 1047229885501184 1058280200851440 1068601923980800 1108674496130080 1122032020179840 1128832214241536 1164108220936584 1190033960796800 1209463086687360 1212612730142275 1227222522071700 1234660234326680 1309037356876480 1322850251064300 1330409395356096 1358126257759348 1385843120162600 1402540025224800 1411040267801920 1428040752956160 1455135276170730 1481592281192016 1496042693573120 1511828858359200 1543325292908350 1552144294582112 1570844828251776 1602902885971200 1612617448916480 1636296696095600 1663011744195120 1693248321362304 1697657822199185 1763800334752400 1773879193808128 1785050941195200 1851990351490020 1870053366966400 1940180368227640 1963556035314720 1975456374922688 2015771811145600 2037189386639022 2040058218508800 2078764680243900 2094459771002368 2116560401702880 2217348992260160 2244064040359680 2257664428483072 2314987939362525 2328216441873168 2380067921593600 2418926173374720 2425225460284550 2454445044143400 2469320468653360 2618074713752960 2645700502128600 2660818790712192 2716252515518696 2771686240325200 2805080050449600 2822080535603840 2856081505912320 2910270552341460 2963184562384032 3023657716718400 3086650585816700 3104288589164224 3141689656503552 3205805771942400 3272593392191200 3326023488390240 3386496642724608 3395315644398370 3527600669504800 3547758387616256 3570101882390400 3637838190426825 3703980702980040 3740106733932800 3880360736455280 3927112070629440 3950912749845376 4031543622291200 4074378773278044 4157529360487800 4233120803405760 4434697984520320 4488128080719360 4629975878725050 4656432883746336 4760135843187200 4837852346749440 4850450920569100 4908890088286800 4938640937306720 5092973466597555 5236149427505920 5291401004257200 5321637581424384 5432505031037392 5543372480650400 5610160100899200 5644161071207680 5820541104682920 5926369124768064 6047315433436800 6173301171633400 6208577178328448 6283379313007104 6545186784382400 6652046976780480 6772993285449216 6790631288796740 7055201339009600 7140203764780800 7275676380853650 7407961405960080 7480213467865600 7760721472910560 7854224141258880 7901825499690752 8063087244582400 8148757546556088 8315058720975600 8466241606811520 8488289110995925 8869395969040640 9259951757450100 9312865767492672 9700901841138200 9817780176573600 9877281874613440 10185946933195110 10472298855011840 10582802008514400 10643275162848768 10865010062074784 11086744961300800 11220320201798400 11288322142415360 11641082209365840 11852738249536128 12094630866873600 12346602343266800 12417154356656896 13090373568764800 13304093953560960 13581262577593480 14110402678019200 14280407529561600 14551352761707300 14815922811920160 15521442945821120 15708448282517760 15803650999381504 16297515093112176 16630117441951200 16932483213623040 16976578221991850 17738791938081280 18519903514900200 18625731534985344 19401803682276400 19635560353147200 19754563749226880 20371893866390220 21165604017028800 21730020124149568 22173489922601600 22440640403596800 23282164418731680 23705476499072256 24189261733747200 24693204686533600 24834308713313792 25464867332987775 26180747137529600 26608187907121920 27162525155186960 28220805356038400 29102705523414600 29631845623840320 31042885891642240 31416896565035520 32595030186224352 33260234883902400 33864966427246080 33953156443983700 37039807029800400 37251463069970688 38803607364552800 39271120706294400 39509127498453760 40743787732780440 42331208034057600 43460040248299136 44346979845203200 46564328837463360 47410952998144512 49386409373067200 50929734665975550 52361494275059200 53216375814243840 54325050310373920 56441610712076800 58205411046829200 59263691247680640 62085771783284480 65190060372448704 66520469767804800 67906312887967400 74079614059600800 74502926139941376 77607214729105600 78542241412588800 79018254996907520 81487575465560880 84662416068115200 86920080496598272 88693959690406400 93128657674926720 98772818746134400 101859469331951100 108650100620747840 116410822093658400 118527382495361280 124171543566568960 130380120744897408 133040939535609600 135812625775934800 148159228119201600 155214429458211200 157084482825177600 162975150931121760 169324832136230400 173840160993196544 186257315349853440 197545637492268800 203718938663902200 217300201241495680 232821644187316800 237054764990722560 260760241489794816 266081879071219200 271625251551869600 296318456238403200 310428858916422400 325950301862243520 372514630699706880 395091274984537600 407437877327804400 434600402482991360 465643288374633600 521520482979589632 543250503103739200 592636912476806400 620857717832844800 651900603724487040 814875754655608800 869200804965982720 931286576749267200 1086501006207478400 1185273824953612800 1303801207448974080 1629751509311217600 1862573153498534400 2173002012414956800 2607602414897948160 3259503018622435200 4346004024829913600 6519006037244870400 13038012074489740800
- Sum of all divisors σ(n): 55315393179740394624
- Sum of proper divisors (its aliquot sum) s(n): 42277381105250653824
- 13038012074489740800 is an abundant number, because the sum of its proper divisors (42277381105250653824) is greater than itself. Its abundance is 29239369030760913024
Bases of 13038012074489740800
- Binary: 10110100111100000101001011100111010001010011011011111110000000002
- Hexadecimal: 0xB4F052E74536FE00
- Base-36: 2R21HJVX360AO
Squares and roots of 13038012074489740800
- 13038012074489740800 squared (130380120744897408002) is 169989758854540274403300684451184640000
- 13038012074489740800 cubed (130380120744897408003) is 2216328528485095427882737106945501399767014086541312000000
-
The
square root of 13038012074489740800 is 3610818754.0348436603 -
The
cube root of 13038012074489740800 is 2353624.2296574037
Scales and comparisons
How big is 13038012074489740800?- 13,038,012,074,489,740,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,038,012,074,489,740,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13038012074489740800 cubic inches would be around 196135.4 feet tall.
Recreational maths with 13038012074489740800
- 13038012074489740800 backwards is 00804798447021083031
- The number of decimal digits it has is: 20
- The sum of 13038012074489740800's digits is 69
- More coming soon!
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"Number 13038012074489740800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
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Numbermatics. (2024). Number 13038012074489740800 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/13038012074489740800/
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The information we have on file for 13038012074489740800 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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