13220468088680448
13,220,468,088,680,448 is an even composite number composed of four prime numbers multiplied together.
What does the number 13220468088680448 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 936 divisors.
13220468088680448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 13220468088680448:
212 × 35 × 413 × 4392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 41 × 41 × 41 × 439 × 439)See below for interesting mathematical facts about the number 13220468088680448 from the Numbermatics database.
Names of 13220468088680448
- Cardinal: 13220468088680448 can be written as Thirteen quadrillion, two hundred twenty trillion, four hundred sixty-eight billion, eighty-eight million, six hundred eighty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.3220468088680448 × 1016
Factors of 13220468088680448
Divisors of 13220468088680448
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 243 246 256 288 324 328 369 384 432 439 486 492 512 576 648 656 738 768 864 878 972 984 1024 1107 1152 1296 1312 1317 1476 1536 1681 1728 1756 1944 1968 2048 2214 2304 2592 2624 2634 2952 3072 3321 3362 3456 3512 3888 3936 3951 4096 4428 4608 5043 5184 5248 5268 5904 6144 6642 6724 6912 7024 7776 7872 7902 8856 9216 9963 10086 10368 10496 10536 11808 11853 12288 13284 13448 13824 14048 15129 15552 15744 15804 17712 17999 18432 19926 20172 20736 20992 21072 23616 23706 26568 26896 27648 28096 30258 31104 31488 31608 35424 35559 35998 36864 39852 40344 41472 41984 42144 45387 47232 47412 53136 53792 53997 55296 56192 60516 62208 62976 63216 68921 70848 71118 71996 79704 80688 82944 83968 84288 90774 94464 94824 106272 106677 107584 107994 110592 112384 121032 124416 125952 126432 136161 137842 141696 142236 143992 159408 161376 161991 165888 167936 168576 181548 188928 189648 192721 206763 212544 213354 215168 215988 224768 242064 248832 251904 252864 272322 275684 283392 284472 287984 318816 322752 323982 331776 337152 363096 377856 379296 385442 408483 413526 425088 426708 430336 431976 449536 484128 485973 497664 503808 505728 544644 551368 566784 568944 575968 578163 620289 637632 645504 647964 674304 726192 737959 755712 758592 770884 816966 827052 850176 853416 860672 863952 899072 968256 971946 995328 1011456 1089288 1102736 1133568 1137888 1151936 1156326 1240578 1275264 1291008 1295928 1348608 1452384 1457919 1475918 1511424 1517184 1541768 1633932 1654104 1700352 1706832 1721344 1727904 1734489 1798144 1860867 1936512 1943892 2022912 2178576 2205472 2213877 2267136 2275776 2303872 2312652 2481156 2550528 2582016 2591856 2697216 2904768 2915838 2951836 3034368 3083536 3267864 3308208 3400704 3413664 3442688 3455808 3468978 3721734 3873024 3887784 4045824 4357152 4373757 4410944 4427754 4534272 4551552 4607744 4625304 4962312 5101056 5164032 5183712 5203467 5394432 5582601 5809536 5831676 5903672 6068736 6167072 6535728 6616416 6641631 6801408 6827328 6885376 6911616 6937956 7443468 7746048 7775568 7901561 8091648 8714304 8747514 8821888 8855508 9103104 9215488 9250608 9924624 10202112 10328064 10367424 10406934 11165202 11619072 11663352 11807344 12137472 12334144 13071456 13232832 13283262 13602816 13654656 13823232 13875912 14886936 15492096 15551136 15610401 15803122 16183296 16747803 17428608 17495028 17643776 17711016 18206208 18430976 18501216 19849248 19924893 20404224 20656128 20734848 20813868 22330404 23238144 23326704 23614688 23704683 24274944 24668288 26142912 26465664 26566524 27309312 27646464 27751824 29773872 30256319 30984192 31102272 31220802 31606244 33495606 34857216 34990056 35287552 35422032 36412416 36861952 37002432 39698496 39849786 40808448 41469696 41627736 44660808 46476288 46653408 46831203 47229376 47409366 48549888 49336576 52285824 52931328 53133048 54618624 55292928 55503648 59547744 59774679 60512638 61968384 62204544 62441604 63212488 66991212 69714432 69980112 70575104 70844064 71114049 72824832 73723904 74004864 79396992 79699572 82939392 83255472 89321616 90768957 92952576 93306816 93662406 94458752 94818732 98673152 104571648 105862656 106266096 109237248 110585856 111007296 119095488 119549358 121025276 124409088 124883208 126424976 133982424 139428864 139960224 141150208 141688128 142228098 145649664 148009728 158793984 159399144 165878784 166510944 178643232 179324037 181537914 185905152 186613632 187324812 188917504 189637464 197346304 209143296 211725312 212532192 213342147 218474496 221171712 222014592 238190976 239098716 242050552 248818176 249766416 252849952 267964848 272306871 278857728 279920448 282300416 283376256 284456196 296019456 317587968 318798288 323964001 331757568 333021888 357286464 358648074 363075828 373227264 374649624 377835008 379274928 394692608 418286592 423450624 425064384 426684294 436948992 444029184 476381952 478197432 484101104 497636352 499532832 505699904 535929696 544613742 557715456 559840896 566752512 568912392 592038912 635175936 637596576 640026441 647928002 663515136 666043776 714572928 717296148 726151656 746454528 749299248 755670016 758549856 789385216 816920613 836573184 846901248 850128768 853368588 888058368 952763904 956394864 968202208 971892003 995272704 999065664 1011399808 1071859392 1089227484 1119681792 1133505024 1137824784 1184077824 1270351872 1275193152 1280052882 1295856004 1332087552 1429145856 1434592296 1452303312 1492909056 1498598496 1511340032 1517099712 1633841226 1673146368 1700257536 1706737176 1776116736 1905527808 1912789728 1920079323 1936404416 1943784006 1990545408 1998131328 2022799616 2143718784 2178454968 2239363584 2267010048 2275649568 2368155648 2450761839 2540703744 2550386304 2560105764 2591712008 2664175104 2858291712 2869184592 2904606624 2915676009 2985818112 2997196992 3022680064 3034199424 3267682452 3400515072 3413474352 3552233472 3811055616 3825579456 3840158646 3872808832 3887568012 3996262656 4045599232 4287437568 4356909936 4478727168 4534020096 4551299136 4901523678 5100772608 5120211528 5183424016 5328350208 5716583424 5738369184 5809213248 5831352018 5971636224 5994393984 6068398848 6535364904 6801030144 6826948704 7104466944 7352285517 7622111232 7651158912 7680317292 7745617664 7775136024 7992525312 8091198464 8574875136 8713819872 8747028027 8957454336 9068040192 9102598272 9803047356 10201545216 10240423056 10366848032 10656700416 11433166848 11476738368 11618426496 11662704036 11988787968 12136797696 13070729808 13282524041 13602060288 13653897408 14704571034 15302317824 15360634584 15491235328 15550272048 15985050624 16182396928 17149750272 17427639744 17494056054 17914908672 18205196544 19606094712 20403090432 20480846112 20733696064 21313400832 22866333696 22953476736 23236852992 23325408072 23977575936 24273595392 26141459616 26241084081 26565048082 27204120576 27307794816 29409142068 30604635648 30721269168 30982470656 31100544096 31970101248 32364793856 34299500544 34855279488 34988112108 36410393088 39212189424 39847572123 40806180864 40961692224 41467392128 45906953472 46473705984 46650816144 47955151872 48547190784 52282919232 52482168162 53130096164 54615589632 58818284136 61209271296 61442538336 61964941312 62201088192 63940202496 68599001088 69710558976 69976224216 72820786176 78424378848 78723252243 79695144246 81612361728 81923384448 82934784256 91813906944 92947411968 93301632288 95910303744 97094381568 104565838464 104964336324 106260192328 109231179264 117636568272 119542716369 122418542592 122885076672 123929882624 124402176384 139421117952 139952448432 145641572352 156848757696 157446504486 159390288492 163846768896 165869568512 183627813888 185894823936 186603264576 191820607488 209131676928 209928672648 212520384656 218462358528 235273136544 239085432738 244837085184 245770153344 248804352768 278842235904 279904896864 291283144704 313697515392 314893008972 318780576984 327693537792 331739137024 358628149107 367255627776 371789647872 373206529152 418263353856 419857345296 425040769312 436924717056 470546273088 478170865476 491540306688 497608705536 557684471808 559809793728 627395030784 629786017944 637561153968 655387075584 663478274048 717256298214 734511255552 746413058304 836526707712 839714690592 850081538624 873849434112 941092546176 956341730952 983080613376 995217411072 1075884447321 1115368943616 1119619587456 1254790061568 1259572035888 1275122307936 1310774151168 1326956548096 1434512596428 1492826116608 1673053415424 1679429381184 1700163077248 1882185092352 1912683461904 1966161226752 1990434822144 2151768894642 2239239174912 2509580123136 2519144071776 2550244615872 2621548302336 2869025192856 2985652233216 3227653341963 3346106830848 3358858762368 3400326154496 3764370184704 3825366923808 3932322453504 3980869644288 4303537789284 4478478349824 5019160246272 5038288143552 5100489231744 5738050385712 5971304466432 6455306683926 6717717524736 6800652308992 7528740369408 7650733847616 7864644907008 8607075578568 8956956699648 10038320492544 10076576287104 10200978463488 11476100771424 11942608932864 12910613367852 13435435049472 13601304617984 15057480738816 15301467695232 17214151157136 17913913399296 20153152574208 20401956926976 22952201542848 25821226735704 26870870098944 27202609235968 30114961477632 30602935390464 34428302314272 35827826798592 40306305148416 40803913853952 45904403085696 51642453471408 53741740197888 54405218471936 61205870780928 68856604628544 80612610296832 81607827707904 91808806171392 103284906942816 107483480395776 122411741561856 137713209257088 161225220593664 163215655415808 183617612342784 206569813885632 244823483123712 275426418514176 322450441187328 367235224685568 413139627771264 489646966247424 550852837028352 734470449371136 826279255542528 1101705674056704 1468940898742272 1652558511085056 2203411348113408 3305117022170112 4406822696226816 6610234044340224 13220468088680448
- Sum of all divisors σ(n): 40684879732822416
- Sum of proper divisors (its aliquot sum) s(n): 27464411644141968
- 13220468088680448 is an abundant number, because the sum of its proper divisors (27464411644141968) is greater than itself. Its abundance is 14243943555461520
Bases of 13220468088680448
- Binary: 1011101111011111110010000110000011000010110000000000002
- Hexadecimal: 0x2EF7F21830B000
- Base-36: 3M69J71MO00
Squares and roots of 13220468088680448
- 13220468088680448 squared (132204680886804482) is 174780776483818057883549857480704
- 13220468088680448 cubed (132204680886804483) is 2310683678019106712444468740831341041196982075392
-
The
square root of 13220468088680448 is 114980294.3494251453 -
The
cube root of 13220468088680448 is 236455.2407443185
Scales and comparisons
How big is 13220468088680448?- 13,220,468,088,680,448 seconds is equal to 420,369,991 years, 32 weeks, 4 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 13,220,468,088,680,448 would take you about one billion, two hundred sixty-one million, one hundred nine thousand, nine hundred seventy-four 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 13220468088680448 cubic inches would be around 19704.6 feet tall.
Recreational maths with 13220468088680448
- 13220468088680448 backwards is 84408688086402231
- 13220468088680448 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13220468088680448's digits is 72
- More coming soon!
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The information we have on file for 13220468088680448 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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