13742148918052500
13,742,148,918,052,500 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13742148918052500 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
13742148918052500 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13742148918052500:
22 × 3 × 54 × 11 × 23 × 53 × 787 × 173629
(2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 23 × 53 × 787 × 173629)See below for interesting mathematical facts about the number 13742148918052500 from the Numbermatics database.
Names of 13742148918052500
- Cardinal: 13742148918052500 can be written as Thirteen quadrillion, seven hundred forty-two trillion, one hundred forty-eight billion, nine hundred eighteen million, fifty-two thousand, five hundred.
Scientific notation
- Scientific notation: 1.37421489180525 × 1016
Factors of 13742148918052500
Divisors of 13742148918052500
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 53 55 60 66 69 75 92 100 106 110 115 125 132 138 150 159 165 212 220 230 250 253 265 275 276 300 318 330 345 375 460 500 506 530 550 575 583 625 636 660 690 750 759 787 795 825 1012 1060 1100 1150 1166 1219 1250 1265 1325 1375 1380 1500 1518 1574 1590 1650 1725 1749 1875 2300 2332 2361 2438 2500 2530 2650 2750 2875 2915 3036 3148 3180 3300 3450 3498 3657 3750 3795 3935 3975 4125 4722 4876 5060 5300 5500 5750 5830 6095 6325 6625 6875 6900 6996 7314 7500 7590 7870 7950 8250 8625 8657 8745 9444 11500 11660 11805 12190 12650 13250 13409 13750 14375 14575 14628 15180 15740 15900 16500 17250 17314 17490 18101 18285 18975 19675 19875 20625 23610 24380 25300 25971 26500 26818 27500 28750 29150 30475 31625 33125 34500 34628 34980 36202 36570 37950 39350 39750 40227 41250 41711 43125 43285 43725 47220 51942 53636 54303 57500 58300 59025 60950 63250 66250 67045 72404 72875 73140 75900 78700 79500 80454 82500 83422 86250 86570 87450 90505 91425 94875 98375 99375 103884 108606 118050 121900 125133 126500 129855 132500 134090 145750 152375 158125 160908 166844 172500 173140 173629 174900 181010 182850 189750 196750 198750 199111 201135 208555 216425 217212 218625 236100 250266 259710 268180 271515 291500 295125 304750 316250 335225 347258 362020 364375 365700 379500 393500 397500 398222 402270 417110 432850 437250 452525 457125 458821 474375 491875 500532 519420 520887 543030 590250 597333 609500 625665 632500 649275 670450 694516 728750 761875 796444 804540 834220 865700 868145 874500 905050 914250 917642 948750 959353 983750 995555 1005675 1041774 1042775 1082125 1086060 1093125 1180500 1194666 1251330 1298550 1340900 1357575 1376463 1457500 1475625 1523750 1676125 1736290 1810100 1828500 1835284 1897500 1909919 1918706 1967500 1991110 2011350 2083548 2085550 2164250 2186250 2262625 2285625 2294105 2389332 2502660 2597100 2604435 2715150 2752926 2878059 2951250 2986665 3047500 3128325 3246375 3352250 3472580 3819838 3837412 3982220 3993467 4022700 4171100 4328500 4340725 4372500 4525250 4571250 4588210 4796765 4977775 5028375 5208870 5213875 5410625 5430300 5505852 5729757 5756118 5902500 5973330 6256650 6492750 6704500 6787875 6882315 7639676 7986934 8380625 8681450 9050500 9142500 9176420 9202337 9549595 9593530 9955550 10056750 10417740 10427750 10552883 10821250 11313125 11459514 11470525 11512236 11946660 11980401 12513300 12985500 13022175 13575750 13764630 14390295 14933325 15641625 15973868 16231875 16761250 17362900 18404674 19099190 19187060 19911100 19967335 20113500 20855500 21105766 21642500 21703625 22626250 22919028 22941050 23960802 23983825 24888875 25141875 26044350 26069375 27151500 27529260 27607011 28648785 28780590 29866650 31283250 31658649 32463750 33522500 33939375 34411575 36809348 38198380 39934670 42211532 43407250 43928137 45252500 45882100 46011685 47747975 47921604 47967650 49777750 50283750 52088700 52138750 52764415 55214022 57297570 57352625 57561180 59733300 59902005 62566500 63317298 64927500 65110875 67878750 68823150 71951475 74666625 78208125 79869340 86814500 87856274 92023370 95495950 95935300 99555500 99836675 100567500 101225707 104277500 105528830 108518125 110428044 114595140 114705250 119804010 119919125 124444375 126634596 130221750 131784411 135757500 136646023 137646300 138035055 143243925 143902950 149333250 156416250 158293245 172057875 175712548 184046740 190991900 199673350 202451414 211057660 211653751 217036250 219640685 229410500 230058425 238739875 239608020 239838250 248888750 260443500 263568822 263822075 273292046 276070110 286487850 286763125 287805900 298666500 299510025 303677121 312832500 316586490 325554375 344115750 359757375 373333125 399346700 404902828 409938069 423307502 434072500 439281370 460116850 477479750 479676500 497777500 499183375 506128535 527137644 527644150 546584092 552140220 572975700 573526250 599020050 599595625 607354242 633172980 634961253 651108750 658922055 683230115 688231500 690175275 716219625 719514750 746666250 791466225 819876138 846615004 860289375 878562740 920233700 954959500 998366750 1012257070 1055288300 1058268755 1098203425 1147052500 1150292125 1193699375 1198040100 1199191250 1214708484 1269922506 1302217500 1317844110 1319110375 1366460230 1380350550 1432439250 1439029500 1493332500 1497550125 1503106253 1518385605 1582932450 1639752276 1720578750 1798786875 1996733500 2024514140 2049690345 2116537510 2196406850 2300584250 2328191261 2387398750 2398382500 2495916875 2530642675 2539845012 2635688220 2638220750 2732920460 2760701100 2864878500 2995100250 3006212506 3036771210 3142858529 3165864900 3174806265 3294610275 3416150575 3441157500 3450876375 3581098125 3597573750 3957331125 4099380690 4233075020 4392813700 4509318759 4601168500 4656382522 4774797500 4991833750 5061285350 5276441500 5291343775 5491017125 5751460625 5990200500 6012425012 6073542420 6285717058 6349612530 6589220550 6595551875 6832301150 6901752750 6984573783 7162196250 7195147500 7242239219 7487750625 7515531265 7591928025 7914662250 8198761380 9018637518 9312765044 9428575587 9983667500 10122570700 10248451725 10582687550 10982034250 11502921250 11640956305 12571434116 12653213375 12699225060 13178441100 13191103750 13664602300 13803505500 13969147566 14324392500 14484478438 14975501250 15031062530 15183856050 15714292645 15829324500 15874031325 16473051375 17080752875 17254381875 18037275036 18857151174 19786655625 20496903450 21165375100 21726717657 21964068500 22546593795 23005842500 23281912610 25306426750 26382207500 26456718875 27455085625 27938295132 28968956876 29951002500 30062125060 30367712100 31428585290 31748062650 32946102750 34161505750 34508763750 34571443819 34922868915 36211196095 37577656325 37714302348 37959640125 39573311250 40993806900 43453435314 45093187590 46563825220 47142877935 50612853500 51242258625 52913437750 54910171250 58204781525 62857170580 63266066875 63496125300 65892205500 68323011500 69017527500 69142887638 69845737830 72422392190 75155312650 75919280250 78571463225 79146622500 79370156625 79664631409 82365256875 85403764375 86906870628 90186375180 94285755870 102484517250 103714331457 105826875500 108633588285 109820342500 112732968975 116409563050 126532133750 132283594375 138285775276 139691475660 144844784380 150310625300 151838560500 157142926450 158740313250 159329262818 164730513750 166571502037 170807528750 172857219095 174614344575 181055980475 187888281625 188571511740 189798200625 204969034500 207428662914 217267176570 225465937950 232819126100 235714389675 238993894227 253064267500 256211293125 264567188750 291023907625 314285852900 317480626500 318658525636 329461027500 333143004074 341615057500 345714438190 349228689150 362111960950 375776563250 379596401250 392857316125 396850783125 398323157045 414857325828 434534353140 450931875900 471428779350 477987788454 499714506111 512422586250 518571657285 529134377500 543167941425 563664844875 582047815250 666286008148 691428876380 698457378300 724223921900 751553126500 759192802500 785714632250 793701566250 796646314090 832857510185 864286095475 873071722875 905279902375 939441408125 942857558700 955975576908 999429012222 1024845172500 1037143314570 1086335882850 1127329689750 1164095630500 1178571948375 1194969471135 1455119538125 1571429264500 1587403132500 1593292628180 1665715020370 1728572190950 1746143445750 1810559804750 1832286522407 1878882816250 1964286580625 1991615785225 1998858024444 2074286629140 2172671765700 2254659379500 2357143896750 2389938942270 2498572530555 2592858286425 2715839707125 2818324224375 2910239076250 3331430040740 3457144381900 3492286891500 3621119609500 3664573044814 3757765632500 3928573161250 3983231570450 4164287550925 4321430477375 4365358614375 4526399511875 4714287793500 4779877884540 4997145061110 5185716572850 5431679414250 5496859567221 5636648448750 5820478152500 5892859741875 5974847355675 7329146089628 7857146322500 7966463140900 8328575101850 8642860954750 8730717228750 9052799023750 9161432612035 9958078926125 9994290122220 10371433145700 10863358828500 10993719134442 11273296897500 11785719483750 11949694711350 12492862652775 12964291432125 13579198535625 16657150203700 17285721909500 17461434457500 18105598047500 18322865224070 19916157852250 20821437754625 21607152386875 21987438268884 23571438967500 23899389422700 24985725305550 25928582864250 27158397071250 27484297836105 29874236778375 36645730448140 39832315704500 41642875509250 43214304773750 45807163060175 49790394630625 49971450611100 51857165728500 54316794142500 54968595672210 59748473556750 62464313263875 64821457160625 83285751018500 86428609547500 91614326120350 99580789261250 104107188773125 109937191344420 119496947113500 124928626527750 129642914321250 137421489180525 149371183891875 183228652240700 199161578522500 208214377546250 229035815300875 249857253055500 259285828642500 274842978361050 298742367783750 312321566319375 416428755092500 458071630601750 549685956722100 597484735567500 624643132638750 687107445902625 916143261203500 1145179076504375 1249286265277500 1374214891805250 2290358153008750 2748429783610500 3435537229513125 4580716306017500 6871074459026250 13742148918052500
- Sum of all divisors σ(n): 46531418867619840
- Sum of proper divisors (its aliquot sum) s(n): 32789269949567340
- 13742148918052500 is an abundant number, because the sum of its proper divisors (32789269949567340) is greater than itself. Its abundance is 19047121031514840
Bases of 13742148918052500
- Binary: 1100001101001001101001011000001011011000000110100101002
- Hexadecimal: 0x30D26960B60694
- Base-36: 3RB6O261D3O
Squares and roots of 13742148918052500
- 13742148918052500 squared (137421489180525002) is 188846656885931496360392756250000
- 13742148918052500 cubed (137421489180525003) is 2595158881602835211617603656914895857203125000000
-
The
square root of 13742148918052500 is 117226912.0895560397 -
The
cube root of 13742148918052500 is 239525.3868022441
Scales and comparisons
How big is 13742148918052500?- 13,742,148,918,052,500 seconds is equal to 436,957,828 years, 17 weeks, 3 days, 11 hours, 55 minutes.
-
To count from 1 to 13,742,148,918,052,500 would take you about one billion, three hundred ten million, eight hundred seventy-three thousand, four hundred eighty-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 13742148918052500 cubic inches would be around 19960.4 feet tall.
Recreational maths with 13742148918052500
- 13742148918052500 backwards is 00525081984124731
- 13742148918052500 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13742148918052500's digits is 60
- More coming soon!
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The information we have on file for 13742148918052500 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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