13728704971068000
13,728,704,971,068,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13728704971068000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
13728704971068000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13728704971068000:
25 × 35 × 53 × 293 × 7612
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 761 × 761)See below for interesting mathematical facts about the number 13728704971068000 from the Numbermatics database.
Names of 13728704971068000
- Cardinal: 13728704971068000 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, seven hundred four billion, nine hundred seventy-one million, sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3728704971068 × 1016
Factors of 13728704971068000
Divisors of 13728704971068000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 72 75 80 81 87 90 96 100 108 116 120 125 135 144 145 150 160 162 174 180 200 216 225 232 240 243 250 261 270 288 290 300 324 348 360 375 400 405 432 435 450 464 480 486 500 522 540 580 600 648 675 696 720 725 750 761 783 800 810 841 864 870 900 928 972 1000 1044 1080 1125 1160 1200 1215 1296 1305 1350 1392 1440 1450 1500 1522 1566 1620 1682 1740 1800 1944 2000 2025 2088 2160 2175 2250 2283 2320 2349 2400 2430 2523 2592 2610 2700 2784 2900 3000 3044 3132 3240 3364 3375 3480 3600 3625 3805 3888 3915 4000 4050 4176 4205 4320 4350 4500 4566 4640 4698 4860 5046 5220 5400 5800 6000 6075 6088 6264 6480 6525 6728 6750 6849 6960 7047 7200 7250 7569 7610 7776 7830 8100 8352 8410 8700 9000 9132 9396 9720 10092 10125 10440 10800 10875 11415 11600 11745 12000 12150 12176 12528 12615 12960 13050 13456 13500 13698 13920 14094 14500 15138 15220 15660 16200 16820 17400 18000 18264 18792 19025 19440 19575 20184 20250 20547 20880 21025 21600 21750 22069 22707 22830 23200 23490 24300 24352 24389 25056 25230 26100 26912 27000 27396 28188 29000 30276 30375 30440 31320 32400 32625 33640 34245 34800 35235 36000 36528 37584 37845 38050 38880 39150 40368 40500 41094 41760 42050 43500 44138 45414 45660 46980 48600 48778 50460 52200 54000 54792 56376 57075 58000 58725 60552 60750 60880 61641 62640 63075 64800 65250 66207 67280 68121 68490 69600 70470 73056 73167 75168 75690 76100 78300 80736 81000 82188 84100 87000 88276 90828 91320 93960 95125 97200 97556 97875 100920 102735 104400 105125 108000 109584 110345 112752 113535 114150 116000 117450 121104 121500 121760 121945 123282 125280 126150 130500 132414 134560 136242 136980 140940 146334 151380 152200 156600 162000 164376 168200 171225 174000 176175 176552 181656 182640 184923 187920 189225 190250 194400 195112 195750 198621 201840 204363 205470 208800 210250 219168 219501 220690 225504 227070 228300 234900 242208 243000 243890 246564 252300 261000 264828 272484 273960 281880 285375 292668 293625 302760 304400 308205 313200 315375 324000 328752 331035 336400 340605 342450 348000 352350 353104 363312 365280 365835 369846 375840 378450 380500 390224 391500 397242 403680 408726 410940 420500 439002 441380 454140 456600 469800 486000 487780 493128 504600 513675 522000 529656 544968 547920 551725 563760 567675 570750 579121 585336 587250 595863 605520 608800 609725 616410 626400 630750 640001 657504 658503 662070 672800 681210 684900 704700 706208 726624 731670 739692 756900 761000 780448 783000 794484 817452 821880 841000 856125 878004 880875 882760 908280 913200 924615 939600 946125 972000 975560 986256 993105 1009200 1021815 1027350 1044000 1059312 1089936 1095840 1097505 1103450 1127520 1135350 1141500 1158242 1170672 1174500 1191726 1211040 1219450 1232820 1261500 1280002 1317006 1324140 1362420 1369800 1409400 1463340 1479384 1513800 1522000 1541025 1566000 1588968 1634904 1643760 1655175 1682000 1703025 1712250 1737363 1756008 1761750 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400896626400 408106568700 420803217504 423725462070 438336684900 451008704700 451973826208 453451743000 473403619692 487040761000 501120783000 508470554484 510133210875 526004021880 544142091600 547920856125 562905612000 563760880875 564967282760 584448913200 591754524615 601344939600 604602324000 622080972000 631204826256 635588193105 652970509920 657505027350 668161044000 677960739312 680177614500 701338695840 706209103450 721613927520 730561141500 751681174500 762705831726 789006032820 816213137400 847450924140 876673369800 902017409400 906903486000 946807239384 974081522000 986257541025 1002241566000 1016941108968 1020266421750 1052008043760 1059313655175 1088284183200 1095841712250 1127521761750 1129934565520 1144058747589 1168897826400 1183509049230 1202689879200 1262409652512 1271176386210 1315010054700 1355921478624 1360355229000 1412418206900 1461122283000 1503362349000 1525411663452 1578012065640 1632426274800 1643762568375 1694901848280 1753346739600 1765522758625 1804034818800 1813806972000 1893614478768 1906764579315 1948163044000 1972515082050 2004483132000 2033882217936 2040532843500 2104016087520 2118627310350 2191683424500 2255043523500 2259869131040 2288117495178 2367018098460 2542352772420 2630020109400 2720710458000 2824836413800 2922244566000 2958772623075 3006724698000 3050823326904 3156024131280 3177940965525 3264852549600 3287525136750 3389803696560 3432176242767 3506693479200 3531045517250 3608069637600 3787228957536 3813529158630 3945030164100 4067764435872 4081065687000 4237254620700 4383366849000 4510087047000 4576234990356 4734036196920 4931287705125 5084705544840 5260040218800 5296568275875 5441420916000 5649672827600 5720293737945 5844489132000 5917545246150 6013449396000 6101646653808 6312048262560 6355881931050 6575050273500 6779607393120 6864352485534 7062091034500 7627058317260 7890060328200 8162131374000 8474509241400 8766733698000 9020174094000 9152469980712 9468072393840 9533822896575 9862575410250 10169411089680 10520080437600 10593136551750 11299345655200 11440587475890 11835090492300 12203293307616 12711763862100 13150100547000 13728704971068 14124182069000 14793863115375 15254116634520 15780120656400 15889704827625 16324262748000 16949018482800 17160881213835 17533467396000 18040348188000 18304939961424 18936144787680 19067645793150 19725150820500 20338822179360 21186273103500 22881174951780 23670180984600 25423527724200 26300201094000 27457409942136 28248364138000 28601468689725 29587726230750 30508233269040 31560241312800 31779409655250 33898036965600 34321762427670 36609879922848 38135291586300 39450301641000 42372546207000 45762349903560 47340361969200 47669114482875 50847055448400 52600402188000 54914819884272 56496728276000 57202937379450 59175452461500 61016466538080 63558819310500 68643524855340 76270583172600 78900603282000 84745092414000 85804406069175 91524699807120 94680723938400 95338228965750 101694110896800 109829639768544 114405874758900 118350904923000 127117638621000 137287049710680 143007343448625 152541166345200 157801206564000 169490184828000 171608812138350 183049399614240 190676457931500 228811749517800 236701809846000 254235277242000 274574099421360 286014686897250 305082332690400 343217624276700 381352915863000 429022030345875 457623499035600 473403619692000 508470554484000 549148198842720 572029373794500 686435248553400 762705831726000 858044060691750 915246998071200 1144058747589000 1372870497106800 1525411663452000 1716088121383500 2288117495178000 2745740994213600 3432176242767000 4576234990356000 6864352485534000 13728704971068000
- Sum of all divisors σ(n): 52401082017735360
- Sum of proper divisors (its aliquot sum) s(n): 38672377046667360
- 13728704971068000 is an abundant number, because the sum of its proper divisors (38672377046667360) is greater than itself. Its abundance is 24943672075599360
Bases of 13728704971068000
- Binary: 1100001100011000101111001101110000011011010010011000002
- Hexadecimal: 0x30C62F3706D260
- Base-36: 3R6F3ZV4600
Squares and roots of 13728704971068000
- 13728704971068000 squared (137287049710680002) is 188477340182627214717060624000000
- 13728704971068000 cubed (137287049710680003) is 2587549797098908749658413197817922026432000000000
-
The
square root of 13728704971068000 is 117169556.5028220121 -
The
cube root of 13728704971068000 is 239447.2520726503
Scales and comparisons
How big is 13728704971068000?- 13,728,704,971,068,000 seconds is equal to 436,530,352 years, 21 weeks, 1 day, 6 hours.
-
To count from 1 to 13,728,704,971,068,000 would take you about one billion, three hundred nine million, five hundred ninety-one thousand and 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 13728704971068000 cubic inches would be around 19953.9 feet tall.
Recreational maths with 13728704971068000
- 13728704971068000 backwards is 00086017940782731
- The number of decimal digits it has is: 17
- The sum of 13728704971068000's digits is 63
- More coming soon!
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"Number 13728704971068000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13728704971068000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13728704971068000/
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The information we have on file for 13728704971068000 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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