13827494121904125
13,827,494,121,904,125 is an odd composite number composed of six prime numbers multiplied together.
13827494121904125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13827494121904125:
310 × 53 × 13 × 292 × 532 × 61
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 29 × 29 × 53 × 53 × 61)See below for interesting mathematical facts about the number 13827494121904125 from the Numbermatics database.
Names of 13827494121904125
- Cardinal: 13827494121904125 can be written as Thirteen quadrillion, eight hundred twenty-seven trillion, four hundred ninety-four billion, one hundred twenty-one million, nine hundred four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3827494121904125 × 1016
Factors of 13827494121904125
Divisors of 13827494121904125
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 3 5 9 13 15 25 27 29 39 45 53 61 65 75 81 87 117 125 135 145 159 183 195 225 243 261 265 305 325 351 375 377 405 435 477 549 585 675 689 725 729 783 793 795 841 915 975 1053 1125 1131 1215 1305 1325 1431 1525 1537 1625 1647 1755 1769 1885 2025 2067 2175 2187 2349 2379 2385 2523 2745 2809 2925 3159 3233 3375 3393 3445 3625 3645 3915 3965 3975 4205 4293 4575 4611 4875 4941 5265 5307 5655 6075 6201 6525 6561 6625 7047 7137 7155 7569 7625 7685 8235 8427 8775 8845 9425 9477 9699 10125 10179 10335 10875 10933 10935 11745 11895 11925 12615 12879 13725 13833 14045 14625 14823 15795 15921 16165 16965 17225 18225 18603 19575 19683 19825 19875 19981 21025 21141 21411 21465 22707 22875 22997 23055 24705 25281 26325 26535 28275 28431 29097 30375 30537 31005 32625 32799 32805 35235 35685 35775 36517 37845 38425 38637 41175 41499 42029 42135 43875 44225 44469 44573 47125 47385 47763 48495 50895 51301 51675 54665 54675 55809 58725 59049 59475 59625 59943 63075 63423 64233 64395 68121 68625 68991 69165 70225 74115 75843 78975 79605 80825 81461 84825 85293 86125 87291 91125 91611 93015 93757 97875 98397 98415 99125 99905 105125 105705 107055 107325 109551 113535 114985 115275 115911 123525 124497 126087 126405 131625 132675 133407 133719 141375 142155 143289 145485 152685 153903 155025 163995 164025 167427 171349 176175 178425 178875 179829 182585 189225 190269 192125 192699 193185 204363 205875 206973 207495 210145 210675 221125 222345 222865 227529 236925 238815 242475 244383 254475 255879 256505 258375 261873 273325 273375 274833 279045 281271 293625 295191 295245 297375 299715 315375 317115 321165 321975 328653 340605 344955 345825 347733 351125 370575 373491 378261 379215 394875 398025 400221 401157 404125 407305 424125 426465 429867 436455 458055 461709 465075 468785 491985 492075 499525 502281 514047 528525 535275 536625 539487 547755 567675 570807 574925 576375 578097 579449 579555 613089 617625 620919 622485 630435 632025 663375 666913 667035 668595 682587 710775 716445 727425 733149 763425 767637 769515 775125 785619 819975 820125 824499 837135 843813 856745 880875 885573 892125 899145 912925 946125 951345 963495 965925 985959 1021815 1034865 1037475 1043199 1050725 1053375 1058993 1111725 1114325 1120473 1134783 1137645 1184625 1194075 1200663 1203471 1212375 1218841 1221915 1272375 1279395 1282525 1289601 1309365 1366625 1374165 1385127 1395225 1406355 1475955 1476225 1498575 1506843 1542141 1585575 1605825 1609875 1618461 1643265 1703025 1712421 1724775 1729125 1734291 1738347 1738665 1839267 1852875 1862757 1867455 1891305 1896075 1990125 2000739 2001105 2005785 2036525 2047761 2132325 2149335 2182275 2199447 2227537 2290275 2308545 2325375 2343925 2356857 2362369 2459925 2460375 2473497 2497625 2511405 2531439 2570235 2642625 2656719 2676375 2697435 2718953 2738775 2838375 2854035 2874625 2890485 2897245 2897775 2957877 3065445 3104595 3112425 3129597 3152175 3160125 3176979 3334565 3335175 3342975 3361419 3404349 3412935 3553875 3582225 3601989 3610413 3637125 3656523 3665745 3817125 3838185 3847575 3868803 3928095 4099875 4122495 4155381 4185675 4219065 4283725 4427865 4495725 4520529 4564625 4626423 4756725 4817475 4829625 4855383 4929795 4969121 5109075 5174325 5187375 5202873 5215041 5215995 5253625 5294965 5517801 5558625 5571625 5588271 5602365 5673915 5688225 5970375 6002217 6003315 6017355 6094205 6109575 6143283 6396975 6412625 6448005 6546825 6598341 6682611 6870825 6925635 6976125 7031775 7070571 7087107 7379775 7381125 7420491 7492875 7534215 7594317 7710705 7927875 7970157 8029125 8092305 8156859 8216325 8515125 8562105 8623875 8671455 8691735 8693325 8873631 9196335 9313785 9337275 9456525 9480375 9530937 10003695 10005525 10028925 10084257 10182625 10213047 10238805 10661625 10746675 10831239 10911375 10969569 10997235 11137685 11451375 11542725 11606409 11719625 11784285 11811845 12299625 12367485 12466143 12557025 12657195 12851175 13283595 13487175 13561587 13594765 13693875 13879269 14270175 14452425 14486225 14488875 14566149 14789385 14907363 15327225 15522975 15562125 15608619 15645123 15647985 15760875 15884895 16553403 16672825 16675875 16714875 16764813 16807095 17021745 17064675 17911125 18006651 18009945 18052065 18282615 18328725 18429849 19190925 19237875 19344015 19640475 19795023 20047833 20612475 20776905 20928375 21095325 21211713 21261321 21418625 22139325 22261473 22478625 22602645 22782951 23132115 23783625 23910471 24087375 24276915 24470577 24648975 24845605 25545375 25871625 26014365 26075205 26079975 26474825 26620893 27589005 27941355 28011825 28369575 28441125 28592811 30011085 30016575 30086775 30252771 30471025 30547875 30639141 30710797 30716415 31984875 32240025 32493717 32734125 32908707 32991705 33413055 34354125 34628175 34819227 35158875 35346389 35352855 35435535 36898875 37102455 37398429 37671075 37971585 38553525 39850785 40461525 40684761 40784295 41081625 41637807 42810525 43357275 43458675 43466625 43698447 44368155 44722089 45981675 46568925 46686375 46825857 46935369 47282625 47654685 49660209 50018475 50027625 50144625 50294439 50421285 51065235 51194025 53733375 54019953 54156195 54847845 54986175 55289547 55688425 57713625 58032045 58921425 59059225 59385069 60143499 61837425 62330715 62785125 63285975 63635139 63783963 64255875 64598573 66417975 67435875 67807935 67973825 68348853 69396345 71350875 71731413 72262125 72431125 72830745 73411731 73946925 74536815 76636125 77614875 78043095 78225615 78239925 79424475 79862679 82767015 83364125 83824065 84035475 85108725 85323375 85778433 90033255 90049725 90260325 90758313 91413075 91643625 91917423 92132391 92149245 95954625 96720075 97481151 98202375 98726121 98975115 100239165 103062375 103884525 104457681 105476625 106039167 106058565 106306605 110696625 111307365 112195287 113013225 113914755 115660575 119552355 121384575 122352885 123244875 124228025 124913421 130071825 130376025 130399875 131095341 132374125 133104465 134166267 137945025 139706775 140059125 140806107 141847875 142964055 144104509 150055425 150082875 150433875 150883317 151263855 152355125 153195705 153553985 153582075 161200125 162059859 162468585 164543535 164958525 165868641 167065275 173140875 174096135 176731945 176764275 177177675 178155207 180430497 185512275 186992145 188355375 189857925 190905417 191351889 192767625 193795719 199253925 202307625 203423805 203921475 205046559 208189035 214052625 215194239 216786375 217293375 218492235 220235193 221840775 223610445 229908375 232844625 234129285 234676845 238273425 239588037 248301045 250092375 251472195 252106425 255326175 255970125 257335299 270099765 270780975 274239225 274930875 275752269 276397173 276447735 278442125 290160225 292443453 294607125 295296125 296178363 296925345 300717495 309187125 311653575 316429875 318117501 318175695 318919815 322992865 332089875 336585861 339039675 339869125 341744265 346981725 358657065 364153725 367058655 369734625 372684075 374740263 390215475 391128075 391199625 393286023 397122375 399313395 402498801 413835075 419120325 420177375 422418321 425543625 428892165 432313527 450166275 450248625 451301625 452649951 453791565 457065375 459587115 460661955 460746225 483600375 486179577 487405755 493630605 494875575 501195825 519422625 522288405 530195835 530292825 531533025 534465621 541291491 556536825 560976435 565066125 569573775 574055667 578302875 581387157 597761775 606922875 611764425 615139677 621140125 624567105 645582717 650359125 651880125 655476705 660705579 665522325 670831335 689725125 698533875 704030535 714820275 718764111 720522545 750277125 754416585 756319275 765978525 767769925 767910375 772005897 810299295 812342925 822717675 824792625 827256807 829191519 829343205 835326375 870480675 877330359 883659725 883821375 885888375 888535089 890776035 902152485 927561375 934960725 949289625 954352503 954527085 956759445 968978595 996269625 1009757583 1017119025 1019607375 1025232795 1040945175 1075971195 1092461175 1101175965 1109203875 1118052225 1124220789 1170646425 1173384225 1179858069 1191367125 1197940185 1207496403 1241505225 1257360975 1260532125 1267254963 1276630875 1286676495 1296940581 1350498825 1353904875 1357949853 1371196125 1378761345 1381985865 1382238675 1450801125 1458538731 1462217265 1480891815 1484626725 1503587475 1558267875 1590587505 1590878475 1594599075 1603396863 1614964325 1623874473 1682929305 1695198375 1708721325 1722167001 1734908625 1744161471 1793285325 1820768625 1835293275 1845419031 1863420375 1873358617 1873701315 1951077375 1955640375 1966430115 1982116737 1996566975 2012494005 2069175375 2095601625 2112091605 2144460825 2156292333 2161567635 2250831375 2263249755 2268957825 2297935575 2303309775 2303731125 2316017691 2430897885 2437028775 2468153025 2474377875 2481770421 2487574557 2505979125 2611442025 2631991077 2650979175 2651464125 2657665125 2665605267 2672328105 2706457455 2782684125 2804882175 2847868875 2863057509 2870278335 2906935785 2988808875 3029272749 3058822125 3075698385 3122835525 3227913585 3277383525 3303527895 3327611625 3354156675 3372662367 3520152675 3574101375 3593820555 3602612725 3622489209 3772082925 3781596375 3801764889 3829892625 3838849625 3860029485 3890821743 4051496475 4061714625 4113588375 4136284035 4145957595 4146716025 4352403375 4375616193 4386651795 4418298625 4442675445 4453880175 4510762425 4674803625 4771762515 4772635425 4783797225 4810190589 4844892975 4871623419 5048787915 5085595125 5126163975 5166501003 5204725875 5232484413 5379855975 5462305875 5505879825 5536257093 5590261125 5620075851 5621103945 5853232125 5866921125 5899290345 5946350211 5989700925 6037482015 6207526125 6286804875 6336274815 6433382475 6484702905 6752494125 6789749265 6893806725 6909929325 6911193375 6948053073 7292693655 7311086325 7404459075 7423133625 7462723671 7517937375 7952937525 7954392375 7972995375 7996815801 8016984315 8074821625 8119372365 8414646525 8543606625 8589172527 8610835005 8720807355 8966426625 9176466375 9227095155 9366793085 9368506575 9832150575 9910583685 9982834875 10062470025 10117987101 10560458025 10722304125 10781461665 10807838175 10867467627 11316248775 11344789125 11405294667 11489677875 11516548875 11580088455 11672465229 12154489425 12185143875 12340765125 12408852105 12437872785 13057210125 13126848579 13159955385 13254895875 13328026335 13361640525 13532287275 14024410875 14315287545 14351391675 14534678925 14614870257 15146363745 15378491925 15499503009 15614177625 15697453239 16139567925 16386917625 16517639475 16770783375 16860227553 16863311835 17600763375 17839050633 17969102775 18013063625 18112446045 18860414625 19008824445 19300147425 19454108715 20257482375 20681420175 20729787975 20733580125 20844159219 21878080965 21933258975 22213377225 22269400875 22388171013 22553812125 23858812575 23863177125 23918986125 23990447403 24050952945 24224464875 24358117095 25243939575 25630819875 25767517581 25832505015 26162422065 26899279875 27529399125 27681285465 28100379255 28105519725 29496451725 29731751055 29948504625 30187410075 31681374075 32166912375 32423514525 32602402881 33948746325 34215884001 34469033625 34549646625 34740265365 35017395687 36463468275 36555431625 37022295375 37313618355 39380545737 39764687625 39984079005 40084921575 40596861825 42073232625 42945862635 43054175025 43604036775 43844610771 46135475775 46498509027 46833965425 46842532875 47092359717 49160752875 49552918425 50312350125 50580682659 50589935505 52802290125 53517151899 53907308325 54039190875 54337338135 56581243875 57026473335 57900442275 58362326145 60772447125 62044260525 62189363925 62532477657 65634242895 65799776925 66640131675 66808202625 67164513039 67661436375 71576437725 71756958375 71971342209 72673394625 73074351285 75731818725 76892459625 77302552743 77497515045 78487266195 80697839625 82588197375 84301137765 84316559175 89195253165 89845513875 90562230225 95044122225 96500737125 97270543575 97807208643 103407100875 103648939875 104220796095 105052187061 109390404825 109666294875 111066886125 111940855065 119294062875 119952237015 120254764725 121790585475 126219697875 128837587905 129162525075 130812110325 131533832313 138406427325 139495527081 140501896275 140527598625 141277079151 147482258625 148658755275 150937050375 151742047977 158406870375 160551455697 162117572625 163012014405 169743731625 171079420005 173701326825 175086978435 182317341375 186568091775 196902728685 199920395025 200424607875 201493539117 202984309125 214729313175 215270875125 218020183875 219223053855 230677378875 231907658229 232492545135 234169827125 235461798585 247764592125 252903413295 252949677525 267585759495 269536541625 271686690675 285132366675 289502211375 291811630725 293421625929 310221302625 310946819625 312662388285 315156561183 328171214475 328998884625 333200658375 335822565195 357882188625 359856711045 365371756425 378659093625 386512763715 387487575225 392436330975 421505688825 421582795875 423831237453 445976265825 452811151125 455226143931 475220611125 486352717875 489036043215 521103980475 525260935305 546952024125 559704275325 599761185075 601273823625 604480617351 608952927375 644187939525 645812625375 654060551625 657669161565 692032136625 695722974687 697477635405 702509481375 706385395755 743293776375 758710239885 802757278485 815060072025 855397100025 868506634125 875434892175 932840458875 945469683549 984513643425 999601975125 1007467695585 1073646565875 1096115269275 1159538291145 1162462725675 1177308992925 1264517066475 1264748387625 1271493712359 1337928797475 1358433453375 1365678431793 1425661833375 1459058153625 1467108129645 1563311941425 1575782805915 1640856072375 1679112825975 1799283555225 1813441852053 1826858782125 1932563818575 1937437876125 1962181654875 2087168924061 2107528444125 2119156187265 2229881329125 2276130719655 2445180216075 2605519902375 2626304676525 2798521376625 2836409050647 2998805925375 3022403086755 3220939697625 3288345807825 3478614873435 3487388177025 3531926978775 3793551199425 3814481137077 4013786392425 4075300360125 4097035295379 4276985500125 4377174460875 4727348417745 4922568217125 5037338477925 5480576346375 5797691455725 5812313628375 5886544964625 6322585332375 6357468561795 6689643987375 6828392158965 7335540648225 7816559707125 7878914029575 8395564129875 8509227151941 8996417776125 9067209260265 9662819092875 10435844620305 10595780936325 11380653598275 12225901080375 12291105886137 13131523382625 14182045253235 15112015433775 16441729039125 17393074367175 17436940885125 17659634893875 18967755997125 19072405685385 20068931962125 20485176476895 23636742088725 25186692389625 28988457278625 31787342808975 34141960794825 36677703241125 36873317658411 39394570147875 42546135759705 45336046301325 52179223101525 52978904681625 56903267991375 61455529430685 70910226266175 75560077168875 86965371835875 95362028426925 102425882384475 110619952975233 118183710443625 158936714044875 170709803974125 184366588292055 212730678798525 226680231506625 260896115507625 307277647153425 354551131330875 476810142134625 512129411922375 553099764876165 921832941460275 1063653393992625 1536388235767125 2765498824380825 4609164707301375 13827494121904125
- Sum of all divisors σ(n): 29907849131155632
- Sum of proper divisors (its aliquot sum) s(n): 16080355009251507
- 13827494121904125 is an abundant number, because the sum of its proper divisors (16080355009251507) is greater than itself. Its abundance is 2252860887347382
Bases of 13827494121904125
- Binary: 1100010010000000001000010110110100010100010111111111012
- Hexadecimal: 0x3120085B4517FD
- Base-36: 3S5FR3SV2T9
Squares and roots of 13827494121904125
- 13827494121904125 squared (138274941219041252) is 191199593691293128886115692015625
- 13827494121904125 cubed (138274941219041253) is 2643811257876812761206600410026060677684251953125
-
The
square root of 13827494121904125 is 117590365.7699223463 -
The
cube root of 13827494121904125 is 240020.2189094719
Scales and comparisons
How big is 13827494121904125?- 13,827,494,121,904,125 seconds is equal to 439,671,541 years, 43 weeks, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,827,494,121,904,125 would take you about one billion, three hundred nineteen million, fourteen thousand, six hundred twenty-five 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 13827494121904125 cubic inches would be around 20001.7 feet tall.
Recreational maths with 13827494121904125
- 13827494121904125 backwards is 52140912149472831
- The number of decimal digits it has is: 17
- The sum of 13827494121904125's digits is 63
- More coming soon!
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"Number 13827494121904125 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13827494121904125 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13827494121904125/
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The information we have on file for 13827494121904125 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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