13982078944352064
13,982,078,944,352,064 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13982078944352064 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
13982078944352064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13982078944352064:
26 × 3 × 72 × 13 × 41 × 11872 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 41 × 1187 × 1187 × 1979)See below for interesting mathematical facts about the number 13982078944352064 from the Numbermatics database.
Names of 13982078944352064
- Cardinal: 13982078944352064 can be written as Thirteen quadrillion, nine hundred eighty-two trillion, seventy-eight billion, nine hundred forty-four million, three hundred fifty-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.3982078944352064 × 1016
Factors of 13982078944352064
Divisors of 13982078944352064
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 41 42 48 49 52 56 64 78 82 84 91 96 98 104 112 123 147 156 164 168 182 192 196 208 224 246 273 287 294 312 328 336 364 392 416 448 492 533 546 574 588 624 637 656 672 728 784 832 861 984 1066 1092 1148 1176 1187 1248 1274 1312 1344 1456 1568 1599 1722 1911 1968 1979 2009 2132 2184 2296 2352 2374 2496 2548 2624 2912 3136 3198 3444 3561 3731 3822 3936 3958 4018 4264 4368 4592 4704 4748 5096 5824 5937 6027 6396 6888 7122 7462 7644 7872 7916 8036 8309 8528 8736 9184 9408 9496 10192 11193 11874 12054 12792 13776 13853 14244 14924 15288 15431 15832 16072 16618 17056 17472 18368 18992 20384 22386 23748 24108 24927 25584 25727 26117 27552 27706 28488 29848 30576 30862 31664 32144 33236 34112 37984 40768 41559 44772 46293 47496 48216 48667 49854 51168 51454 52234 55104 55412 56976 58163 59696 61152 61724 63328 64288 66472 75968 77181 78351 81139 83118 89544 92586 94992 96432 96971 97334 99708 102336 102908 104468 108017 110824 113952 116326 119392 122304 123448 126656 128576 132944 146001 154362 156702 162278 166236 174489 179088 180089 185172 189984 192864 193942 194668 199416 205816 208936 216034 221648 227904 232652 238784 243417 246896 265888 290913 292002 308724 313404 324051 324556 332472 340669 348978 358176 360178 370344 379968 385728 387884 389336 398832 411632 417872 432068 443296 465304 486834 493792 531776 540267 567973 581826 584004 617448 626808 632671 648102 649112 664944 681338 697956 716352 720356 740688 756119 775768 778672 797664 823264 835744 864136 886592 930608 973668 987584 1022007 1054807 1080534 1135946 1163652 1168008 1234896 1253616 1260623 1265342 1296204 1298224 1329888 1362676 1395912 1408969 1440712 1481376 1512238 1551536 1557344 1595328 1646528 1671488 1703919 1728272 1861216 1898013 1947336 2044014 2109614 2161068 2268357 2271892 2327304 2336016 2349073 2384683 2469792 2507232 2521246 2530684 2592408 2596448 2659776 2725352 2791824 2817938 2881424 2962752 3024476 3103072 3114688 3164421 3407838 3456544 3722432 3781869 3796026 3894672 3975811 4088028 4219228 4226907 4322136 4428697 4536714 4543784 4654608 4672032 4698146 4769366 4939584 5014464 5042492 5061368 5184816 5192896 5450704 5583648 5635876 5762848 6048952 6206144 6328842 6815676 6913088 7047219 7154049 7383649 7563738 7592052 7789344 7951622 8176056 8438456 8453814 8644272 8857394 9073428 9087568 9309216 9344064 9396292 9538732 9862783 10084984 10122736 10369632 10901408 11167296 11271752 11525696 11927433 12097904 12657684 13286091 13631352 14094438 14308098 14767298 15127476 15184104 15578688 15903244 16352112 16443511 16876912 16907628 17288544 17714788 18146856 18175136 18316597 18618432 18792584 19077464 19725566 20169968 20245472 20739264 21802816 22150947 22543504 23854866 24195808 25315368 26572182 27262704 28188876 28616196 29534596 29588349 30254952 30368208 30537949 31000879 31806488 32704224 32887022 33753824 33815256 34577088 35429576 36293712 36350272 36633194 37585168 38154928 39451132 40339936 40490944 44301894 45087008 47709732 48391616 49330533 50630736 51685543 53144364 54525408 54949791 56377752 57232392 57767729 59069192 59176698 60509904 60736416 61075898 62001758 63612976 65408448 65774044 67507648 67630512 69039481 70859152 72587424 73266388 75170336 76309856 78902264 80679872 88603788 90174016 91613847 93002637 95419464 96311993 98661066 101261472 103371086 106288728 109050816 109899582 112755504 114464784 115104577 115535458 118138384 118353396 121019808 121472832 122151796 124003516 127225952 128216179 131548088 135261024 138078962 141718304 145174848 146532776 150340672 152619712 155056629 157804528 173303187 177207576 183227694 186005274 190838928 192623986 197322132 202522944 206742172 207118443 212577456 213765643 219799164 225511008 228929568 230209154 231070916 236276768 236706792 242039616 244303592 248007032 254451904 256432358 263096176 270522048 276157924 283436608 288935979 293065552 310113258 315609056 345313731 346606374 354415152 366455388 372010548 381677856 384648537 385247972 394644264 404374103 413484344 414236886 425154912 427531286 439598328 451022016 457859136 460418308 462141832 472553536 473413584 488607184 496014064 512864716 526192352 552315848 577871958 586131104 620226516 631218112 641296929 674183951 690627462 693212748 708830304 732910776 744021096 750980477 763355712 769297074 770495944 789288528 808748206 826968688 828473772 850309824 855062572 879196656 897513253 920836616 924283664 946827168 977214368 992028128 1025729432 1052384704 1104631696 1155743916 1172262208 1213122309 1240453032 1252055909 1282593858 1348367902 1381254924 1386425496 1417660608 1465821552 1488042192 1496359501 1501960954 1538594148 1540991888 1578577056 1617496412 1653937376 1656947544 1710125144 1758393312 1795026506 1841673232 1848567328 1893654336 1954428736 1984056256 2022551853 2051458864 2209263392 2252941431 2311487832 2426244618 2480906064 2504111818 2565187716 2692539759 2696735804 2762509848 2772850992 2788349651 2830618721 2931643104 2976084384 2992719002 3003921908 3077188296 3081983776 3157154112 3234992824 3307874752 3313895088 3420250288 3516786624 3590053012 3683346464 3697134656 3756167727 4045103706 4102917728 4418526784 4489078503 4505882862 4622975664 4719287657 4852489236 4961812128 5008223636 5130375432 5256863339 5385079518 5393471608 5525019696 5545701984 5576699302 5661237442 5863286208 5952168768 5985438004 6007843816 6154376592 6163967552 6469985648 6627790176 6840500576 7180106024 7366692928 7512335454 8090207412 8205835456 8365048953 8491856163 8764391363 8978157006 9011765724 9245951328 9438575314 9704978472 9923624256 10016447272 10260750864 10513726678 10770159036 10786943216 11050039392 11091403968 11153398604 11322474884 11970876008 12015687632 12308753184 12939971296 13255580352 13681001152 14157862971 14360212048 15024670908 15770590017 16180414824 16730097906 16983712326 17528782726 17956314012 18023531448 18491902656 18877150628 19409956944 19518447557 20032894544 20521501728 21027453356 21540318072 21573886432 22100078784 22306797208 22644949768 23941752016 24031375264 24617506368 25879942592 26293174089 28315725942 28720424096 30049341816 31541180034 32360829648 33460195812 33967424652 35057565452 35912628024 36047062896 36248545463 36798043373 37754301256 38819913888 39036895114 40065789088 41043003456 42054906712 43080636144 43147772864 44613594416 45289899536 47883504032 48062750528 52586348178 56631451884 57440848192 58555342671 60098683632 61350739541 63082360068 64721659296 66920391624 67934849304 70115130904 71825256048 72094125792 72497090926 73596086746 75508602512 77639827776 78073790228 80131578176 84109813424 86161272288 89227188832 90579799072 95767008064 105172696356 108745636389 110394130119 113262903768 114322335691 117110685342 120197367264 122701479082 126164720136 129443318592 133840783248 135869698608 136629132899 140230261808 143650512096 144188251584 144994181852 147192173492 151017205024 156147580456 168219626848 172322544576 178454377664 181159598144 184052218623 210345392712 217491272778 220788260238 226525807536 228644671382 234221370684 240394734528 245402958164 252329440272 253739818241 267681566496 271739397216 273258265798 280460523616 287301024192 289988363704 294384346984 302034410048 312295160912 336439253696 342967007073 368104437246 409887398697 420690785424 434982545556 441576520476 453051615072 457289342764 468442741368 490805916328 504658880544 507479636482 535363132992 543478794432 546516531596 560921047232 579976727408 588768693968 624590321824 685934014146 736208874492 761219454723 800256349837 819774797394 841381570848 869965091112 883153040952 906103230144 914578685528 936885482736 981611832656 1009317761088 1014959272964 1093033063192 1159953454816 1177537387936 1249180643648 1371868028292 1472417748984 1486190363983 1522438909446 1600512699674 1639549594788 1682763141696 1739930182224 1766306081904 1776178727687 1829157371056 1873770965472 1963223665312 2029918545928 2186066126384 2319906909632 2355074775872 2400769049511 2743736056584 2944835497968 2972380727966 3044877818892 3201025399348 3279099189576 3479860364448 3532612163808 3552357455374 3658314742112 3747541930944 3926447330624 4059837091856 4372132252768 4458571091949 4801538099022 5328536183061 5487472113168 5601794448859 5889670995936 5944761455932 6089755637784 6402050798696 6558198379152 6959720728896 7065224327616 7104714910748 7316629484224 8119674183712 8744264505536 8917142183898 9603076198044 10403332547881 10657072366122 10974944226336 11203588897718 11779341991872 11889522911864 12179511275568 12804101597392 13116396758304 14209429821496 16239348367424 16805383346577 17834284367796 19206152396088 20806665095762 21314144732244 21949888452672 22407177795436 23779045823728 24359022551136 25608203194784 26232793516608 28418859642992 31209997643643 33610766693154 35668568735592 38412304792176 41613330191524 42628289464488 44814355590872 47558091647456 48718045102272 51216406389568 56837719285984 62419995287286 67221533386308 71337137471184 72823327835167 76824609584352 83226660383048 85256578928976 89628711181744 95116183294912 113675438571968 124839990574572 134443066772616 142674274942368 145646655670334 153649219168704 166453320766096 170513157857952 179257422363488 218469983505501 249679981149144 268886133545232 285348549884736 291293311340668 332906641532192 341026315715904 358514844726976 436939967011002 499359962298288 537772267090464 582586622681336 665813283064384 873879934022004 998719924596576 1075544534180928 1165173245362672 1747759868044008 1997439849193152 2330346490725344 3495519736088016 4660692981450688 6991039472176032 13982078944352064
- Sum of all divisors σ(n): 47538836892550080
- Sum of proper divisors (its aliquot sum) s(n): 33556757948198016
- 13982078944352064 is an abundant number, because the sum of its proper divisors (33556757948198016) is greater than itself. Its abundance is 19574679003845952
Bases of 13982078944352064
- Binary: 1100011010110010100000011100001011001100010111010000002
- Hexadecimal: 0x31ACA070B31740
- Base-36: 3TO8EE4VXHC
Squares and roots of 13982078944352064
- 13982078944352064 squared (139820789443520642) is 195498531606093328418804781060096
- 13982078944352064 cubed (139820789443520643) is 2733475902421304024414814784483336366657765638144
-
The
square root of 13982078944352064 is 118245841.1292002439 -
The
cube root of 13982078944352064 is 240911.3437114495
Scales and comparisons
How big is 13982078944352064?- 13,982,078,944,352,064 seconds is equal to 444,586,861 years, 1 week, 11 hours, 34 minutes, 24 seconds.
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To count from 1 to 13,982,078,944,352,064 would take you about one billion, three hundred thirty-three million, seven hundred sixty thousand, five hundred eighty-three 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 13982078944352064 cubic inches would be around 20075.9 feet tall.
Recreational maths with 13982078944352064
- 13982078944352064 backwards is 46025344987028931
- The number of decimal digits it has is: 17
- The sum of 13982078944352064's digits is 75
- More coming soon!
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The information we have on file for 13982078944352064 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!
Keywords: Divisors of 13982078944352064, math, Factors of 13982078944352064, curriculum, school, college, exams, university, Prime factorization of 13982078944352064, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-two trillion, seventy-eight billion, nine hundred forty-four million, three hundred fifty-two thousand and sixty-four.