13148813120387625
13,148,813,120,387,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 13148813120387625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
13148813120387625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13148813120387625:
34 × 53 × 193 × 232 × 713
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 23 × 23 × 71 × 71 × 71)See below for interesting mathematical facts about the number 13148813120387625 from the Numbermatics database.
Names of 13148813120387625
- Cardinal: 13148813120387625 can be written as Thirteen quadrillion, one hundred forty-eight trillion, eight hundred thirteen billion, one hundred twenty million, three hundred eighty-seven thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.3148813120387625 × 1016
Factors of 13148813120387625
Divisors of 13148813120387625
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 9 15 19 23 25 27 45 57 69 71 75 81 95 115 125 135 171 207 213 225 285 345 355 361 375 405 437 475 513 529 575 621 639 675 855 1035 1065 1083 1125 1311 1349 1425 1539 1587 1633 1725 1775 1805 1863 1917 2025 2185 2375 2565 2645 2875 3105 3195 3249 3375 3933 4047 4275 4761 4899 5041 5175 5325 5415 5751 6555 6745 6859 7125 7695 7935 8165 8303 8625 8875 9025 9315 9585 9747 10051 10125 10925 11799 12141 12825 13225 14283 14697 15123 15525 15975 16245 19665 20235 20577 21375 23805 24495 24909 25205 25631 25875 26625 27075 28755 29241 30153 31027 32775 33725 34295 35397 36423 37559 38475 39675 40825 41515 42849 44091 45125 45369 46575 47925 48735 50255 54625 58995 60705 61731 64125 66125 71415 73485 74727 75615 76893 77625 79875 81225 90459 93081 95779 98325 101175 102885 109269 112677 115943 119025 122475 124545 126025 128155 132273 135375 136107 143775 146205 150765 155135 157757 163875 168625 171475 176985 182115 185193 187795 190969 192375 198375 204125 207575 214245 220455 224181 226845 230679 232875 239625 243675 251275 271377 279243 287337 294975 303525 308655 338031 347829 357075 357911 367425 373635 378075 384465 406125 408321 452295 465405 473271 478895 486989 491625 505875 514425 546345 555579 563385 572907 579715 589513 595125 612375 622725 630125 640775 661365 672543 680535 692037 713621 718875 731025 753825 775675 788785 814131 837729 857375 862011 884925 910575 925965 938975 954845 1014093 1037875 1043487 1071225 1073733 1102275 1120905 1134225 1153395 1218375 1256375 1356885 1396215 1419813 1436685 1460967 1474875 1517625 1543275 1690155 1718721 1739145 1768539 1785375 1789555 1819801 1837125 1868175 1890375 1922325 2041605 2076111 2140863 2202917 2261475 2327025 2366355 2394475 2434945 2513187 2572125 2586033 2666689 2731725 2777895 2816925 2864535 2898575 2947565 3042279 3113625 3130461 3203875 3221199 3306825 3362715 3402675 3460185 3568105 3628411 3655125 3769125 3878375 3943925 4070655 4188645 4259439 4310055 4382901 4424625 4552875 4629825 4694875 4774225 5070465 5156163 5217435 5305617 5356125 5368665 5459403 5511375 5604525 5671125 5766975 6422589 6608751 6784425 6800309 6981075 7099065 7183425 7304835 7716375 7758099 8000067 8231953 8450775 8593605 8695725 8842695 8947775 9099005 9340875 9391383 9611625 9663597 10208025 10380555 10704315 10885233 11014585 11200747 11307375 11635125 11831775 11972375 12174725 12565935 12778317 12930165 13148703 13333445 13558799 13658625 13889475 14084625 14322675 14492875 14737825 15211395 15468489 15652305 15916851 16105995 16378209 16534125 16813575 17013375 17300925 17840525 18142055 19267767 19719625 19826253 20353275 20400927 20943225 21297195 21550275 21914505 23149125 23871125 24000201 24695859 25352325 25780815 26087175 26528085 26843325 27297015 28022625 28834875 28990791 32112945 32655699 33043755 33602241 33922125 34001545 34576219 34905375 35495325 35917125 36524175 38790495 39446109 40000335 40676397 41159765 41855423 42253875 42968025 43478625 44213475 44738875 45495025 46956915 47750553 48317985 49134627 50667091 51040125 51902775 53521575 54426165 55072925 56003735 57803301 59158875 59478759 60873625 61202781 62829675 63891585 64650825 65743515 66667225 67793995 69447375 71613375 72000603 73689125 74087577 76056975 77342445 78261525 79584255 80529975 81891045 84067875 86504625 89202625 90710275 96338835 97967097 99131265 100806723 101766375 102004635 103728657 104716125 106485975 107751375 109572525 120001005 122029191 123479295 125566269 126761625 128904075 129205871 130435875 132640425 134216625 136485075 144953955 147403881 152001273 156407107 160564725 163278495 165218775 168011205 170007725 172881095 177476625 178436277 182620875 183608343 189334919 193952475 197230545 200001675 203381985 205798825 209277115 214840125 216001809 221067375 222262731 227475125 234784575 238752765 241589925 245673135 253335455 257617181 259513875 267607875 272130825 275364625 280018675 289016505 293901291 297393795 302420169 306013905 311185971 314148375 319457925 323254125 328717575 333336125 338969975 360003015 366087573 370437885 376698807 380284875 386712225 387617613 391307625 397921275 402649875 409455225 453551375 456003819 469221321 481694175 489835485 495656325 504033615 510023175 518643285 532429875 547862625 550825029 568004757 600005025 610145955 617396475 627831345 644520375 646029355 663202125 666788193 682425375 724769775 737019405 760006365 772851543 782035535 795253037 802823625 816392475 826093875 840056025 850038625 864405475 892181385 907260507 918041715 933557913 946674595 962674729 969762375 986152725 1000008375 1016909925 1028994125 1046385575 1080009045 1098262719 1111313655 1130096421 1162852839 1173922875 1193763825 1207949625 1228365675 1266677275 1288085905 1360654125 1368011457 1400093375 1407663963 1445082525 1469506455 1486968975 1512100845 1530069525 1555929855 1597289625 1643587875 1694849875 1704014271 1800015075 1830437865 1852189425 1883494035 1933561125 1938088065 1989606375 2047276125 2280019095 2318554629 2346106605 2385759111 2408470875 2449177425 2454911549 2478281625 2520168075 2550115875 2593216425 2754125145 2800673739 2840023785 2888024187 2971735033 3000025125 3050729775 3086982375 3139156725 3230146775 3333940965 3390289263 3488558517 3597363461 3623848875 3685097025 3800031825 3864257715 3910177675 3976265185 4081962375 4104034371 4200280125 4222991889 4322027375 4460906925 4536302535 4590208575 4667789565 4733372975 4813373645 4930763625 5084549625 5112042813 5231927875 5400045225 5491313595 5556568275 5650482105 5814264195 5968819125 6141828375 6333386375 6440429525 6840057285 6955663887 7038319815 7157277333 7225412625 7347532275 7364734647 7434844875 7560504225 7650347625 7779649275 8520071355 8664072561 8915205099 9000075375 9152189325 9260947125 9417470175 9690440325 10465675551 10792090383 11400095475 11592773145 11730533025 11928795555 12245887125 12274557745 12600840375 12668975667 12966082125 13770625725 14003368695 14200118925 14440120935 14858675165 15253648875 15336128439 15695783625 16150733875 16669704825 16951446315 17442792585 17986817305 18290819851 18425485125 19000159125 19321288575 19550888375 19881325925 20520171855 20866991661 21114959445 21471831999 22094203941 22304534625 22681512675 22951042875 23338947825 23666864875 24066868225 25560214065 25992217683 26745615297 27000226125 27456567975 27782841375 28252410525 29071320975 32202147625 32376271149 34200286425 34778319435 35191599075 35786386665 36737661375 36823673235 37802521125 38898246375 42600356775 43320362805 44576025495 45760946625 47087350875 48452201625 52328377755 53960451915 54872459553 56462965627 57000477375 57963865725 58652665125 59643977775 61372788725 63344878335 64415495997 66282611823 68349905759 68853128625 70016843475 71000594625 72200604675 74293375825 76680642195 77976653049 80236845891 83348524125 84757231575 87213962925 89934086525 91454099255 96606442875 97128813447 99406629625 102600859275 104334958305 105574797225 107359159995 110471019705 113407563375 116694739125 120334341125 127801070325 129961088415 133728076485 137282839875 141262052625 145356604875 161881355745 164617378659 169388896881 171001432125 173891597175 175957995375 178931933325 184118366175 198847835469 205049717277 213001783875 216601814025 222880127475 240710537673 261641888775 269802259575 274362297765 282314828135 289819328625 291386440341 298219888875 306863943625 316724391675 322077479985 331413059115 341749528795 350084217375 361003023375 371466879125 383403210975 389883265245 401184229455 423786157875 436069814625 449670432625 457270496275 485644067235 493852135977 508166690643 513004296375 521674791525 527873986125 536795799975 552355098525 615149151831 639005351625 649805442075 668640382425 809406778725 823086893295 846944484405 869457985875 894659666625 920591830875 994239177345 1025248586385 1083009070125 1114400637375 1203552688365 1298648209421 1308209443875 1349011297875 1371811488825 1411574140675 1456932201705 1481556407931 1524500071929 1583621958375 1610387399925 1657065295575 1708747643975 1845447455493 1917016054875 1949416326225 2005921147275 2286352481375 2428220336175 2469260679885 2540833453215 2608373957625 2683978999875 2761775492625 3075745759155 3249027210375 3343201912125 3895944628263 4047033893625 4115434466475 4234722422025 4573500215787 4971195886725 5126242931925 5536342366479 6017763441825 6493241047105 6859057444125 7057870703375 7284661008525 7407782039655 7622500359645 8051936999625 8285326477875 8543738219875 9227237277465 9747081631125 10029605736375 11687833884789 12141101680875 12346303399425 12704167266075 15378728795775 19479723141315 20577172332375 21173612110125 22867501078935 24855979433625 25631214659625 27681711832395 30088817209125 32466205235525 35063501654367 36423305042625 37038910198275 38112501798225 46136186387325 58439169423945 61731516997125 63520836330375 76893643978875 97398615706575 105190504963101 114337505394675 138408559161975 162331026177625 175317508271835 185194550991375 190562508991125 230680931936625 292195847119725 486993078532875 525952524815505 571687526973375 692042795809875 876587541359175 1460979235598625 2629762624077525 4382937706795875 13148813120387625
- Sum of all divisors σ(n): 27435255176609280
- Sum of proper divisors (its aliquot sum) s(n): 14286442056221655
- 13148813120387625 is an abundant number, because the sum of its proper divisors (14286442056221655) is greater than itself. Its abundance is 1137628935834030
Bases of 13148813120387625
- Binary: 1011101011011011000110100111110100001000111010001010012
- Hexadecimal: 0x2EB6C69F423A29
- Base-36: 3LGV5CVL1K9
Squares and roots of 13148813120387625
- 13148813120387625 squared (131488131203876252) is 172891286474877751771430253140625
- 13148813120387625 cubed (131488131203876253) is 2273315216001568117808109842190771856873634765625
-
The
square root of 13148813120387625 is 114668274.2539872055 -
The
cube root of 13148813120387625 is 236027.2706228875
Scales and comparisons
How big is 13148813120387625?- 13,148,813,120,387,625 seconds is equal to 418,091,585 years, 14 weeks, 3 days, 12 hours, 33 minutes, 45 seconds.
-
To count from 1 to 13,148,813,120,387,625 would take you about one billion, two hundred fifty-four million, two hundred seventy-four thousand, seven hundred fifty-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 13148813120387625 cubic inches would be around 19668.9 feet tall.
Recreational maths with 13148813120387625
- 13148813120387625 backwards is 52678302131884131
- The number of decimal digits it has is: 17
- The sum of 13148813120387625's digits is 63
- More coming soon!
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The information we have on file for 13148813120387625 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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