248135474480040225
248,135,474,480,040,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 248135474480040225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 729 divisors.
248135474480040225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 248135474480040225:
32 × 52 × 132 × 292 × 592 × 14932
(3 × 3 × 5 × 5 × 13 × 13 × 29 × 29 × 59 × 59 × 1493 × 1493)See below for interesting mathematical facts about the number 248135474480040225 from the Numbermatics database.
Names of 248135474480040225
- Cardinal: 248135474480040225 can be written as Two hundred forty-eight quadrillion, one hundred thirty-five trillion, four hundred seventy-four billion, four hundred eighty million, forty thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 2.48135474480040225 × 1017
Factors of 248135474480040225
Divisors of 248135474480040225
- Number of divisors d(n): 729
-
Complete list of divisors:
1 3 5 9 13 15 25 29 39 45 59 65 75 87 117 145 169 177 195 225 261 295 325 377 435 507 531 585 725 767 841 845 885 975 1131 1305 1475 1493 1521 1711 1885 2175 2301 2523 2535 2655 2925 3393 3481 3835 4205 4225 4425 4479 4901 5133 5655 6525 6903 7465 7569 7605 8555 9425 9971 10443 10933 11505 12615 12675 13275 13437 14703 15399 16965 17405 19175 19409 21025 22243 22395 24505 25665 28275 29913 31329 32799 34515 37325 37845 38025 42775 43297 44109 45253 49619 49855 52215 54665 57525 58227 63075 66729 67185 73515 76995 84825 87025 88087 89739 97045 98397 100949 111215 111975 122525 128325 129891 135759 142129 148857 149565 156645 163995 172575 174681 189225 200187 216485 220545 226265 248095 249275 252317 261075 264261 273325 289159 291135 302847 333645 335925 367575 384975 389673 407277 426387 440435 446571 448695 485225 491985 504745 556075 562861 588289 645047 649455 678795 710645 744285 747825 756951 783225 792783 819975 867477 873405 908541 1000935 1082425 1102725 1131325 1145131 1240475 1255613 1261585 1279161 1312337 1321305 1445795 1455675 1514235 1668225 1688583 1764867 1935141 1948365 2036385 2131935 2202175 2229049 2232855 2243475 2270853 2459925 2523725 2554523 2602431 2814305 2927521 2941445 3225235 3247275 3393975 3435393 3553225 3721425 3766839 3784755 3937011 3963915 4337385 4367025 4542705 5004675 5065749 5197133 5294601 5725655 5805423 6278065 6307925 6395805 6561685 6606525 6687147 7228975 7317193 7571175 7663569 8385611 8442915 8782563 8824335 9675705 9741825 10181925 10306179 10659675 11145245 11164275 11300517 11354265 11811033 12772615 13012155 14071525 14637605 14707225 14886703 15591399 16126175 16322969 17060381 17176965 18834195 18923775 19685055 19819575 20061441 21686925 21951579 22713525 22990707 25156833 25328745 25985665 26347689 26473005 28628275 28977637 29027115 31390325 31979025 32808425 33208799 33435735 36585965 38057773 38317845 41928055 42214575 43912815 44121675 44660109 46774197 48378525 48968907 51181143 51530895 55726225 56502585 56771325 59055165 63863075 64642421 65060775 65854737 67562729 73188025 74081167 74433515 75470499 77956995 81614845 85301905 85884825 86932911 94170975 98425275 99626397 100307205 109757895 114173319 114953535 125784165 126643725 129928325 131513891 131738445 132365025 133980327 144888185 145135575 146906721 150716857 153543429 166043995 167178675 182929825 190288865 191589225 193927263 202688187 209640275 212198597 219564075 222243501 223300545 233870985 244844535 255905715 257654475 260798733 282512925 295275825 298879191 323212105 329273685 337813645 342519957 370405835 372167575 376709281 377352495 389784975 394541673 408074225 426509525 431714387 434664555 452150571 494751049 498131985 501536025 548789475 570866595 574767675 581781789 608064561 628920825 636595791 657569455 658692225 666730503 669901635 724440925 734533605 753584285 767717145 830219975 840351473 878315477 951444325 963055171 969636315 1013440935 1060992985 1111217505 1116502725 1130127843 1169354925 1183625019 1224222675 1279528575 1295143161 1303993665 1356451713 1484253147 1494395955 1616060525 1646368425 1689068225 1709680583 1712599785 1852029175 1874630209 1883546405 1886762475 1909787373 1959319141 1972708365 2158571935 2173322775 2260752855 2473755245 2490659925 2521054419 2634946431 2854332975 2889165513 2908908945 3040322805 3182978955 3287847275 3333652515 3349508175 3390383529 3672668025 3767921425 3813902839 3838585725 3885429483 4201757365 4370788853 4391577385 4452759441 4815275855 4848181575 5067204675 5129041749 5304964925 5556087525 5623890627 5650639215 5877957423 5918125095 6475715805 6519968325 6782258565 7421265735 7471979775 7563163257 7759319569 7904839293 8548402915 8562998925 8667496539 9373151045 9417732025 9548936865 9796595705 9863541825 10792859675 10924569149 11303764275 11441708517 12368776225 12519717223 12605272095 13112366559 13174732155 14445827565 14544544725 15201614025 15387125247 15914894775 16668262575 16871671881 16951917645 17633872269 19069514195 19427147415 21008786825 21853944265 21957886925 22225847579 22263797205 23277958707 24076379275 24370192717 25471148833 25645208745 28119453135 28253196075 29389787115 29590625475 32378579025 32773707447 33911292825 34325125551 37106328675 37559151669 37815816285 38796597845 39337099677 39524196465 42742014575 43337482695 46865755225 47744684325 48982978525 49580736907 54622845745 56820255089 57208542585 62598586115 63026360475 65561832795 65873660775 66677542737 69833876121 72229137825 73110578151 76413446499 76935626235 84358359405 84759588225 88169361345 95347570975 97135737075 98321122341 100871154397 109269721325 110603182331 111129237895 111318986025 112677455007 116389793535 121850963585 127355744165 128226043725 140597265675 146948935575 148742210721 163868537235 170460765267 171625627755 187795758345 189079081425 193982989225 196685498385 197620982325 200032628211 216687413475 219331734453 225020267501 229240339497 247903684535 273114228725 284101275445 286042712925 302613463191 312992930575 316812505321 327809163975 331809546993 333387713685 349169380605 365552890755 382067232495 384678131175 421791797025 440846806725 446226632163 491605611705 504355771985 511382295801 553015911655 555646189475 563387275035 581948967675 609254817925 636778720825 644549579791 675060802503 738663316157 743711053605 819342686175 852303826335 858128138775 907840389573 938978791725 950437515963 983427491925 995428640979 1000163141055 1096658672265 1125101337505 1146201697485 1239518422675 1311325007161 1420506377225 1437841370303 1513067315955 1584062526605 1659047734965 1666938568425 1745846903025 1827764453775 1910336162475 1933648739373 2025182407509 2215989948471 2231133160815 2458028058525 2521778859925 2556911479005 2765079558275 2816936375175 2851312547889 2925263477513 3222747898955 3375304012515 3693316580785 3718555268025 3933975021483 4261519131675 4313524110909 4539201947865 4752187579815 4977143204895 5000815705275 5483293361325 5625506687525 5731008487425 5800946218119 6525587757529 6556625035805 6647969845413 7189206851515 7565336579775 7920312633025 8295238674825 8775790432539 9668243696865 10125912037545 11079949742355 11155665804075 11801925064449 12784557395025 12940572332727 14256562739445 14626317387565 16113739494775 16876520062575 18466582903925 18691937813939 19576763272587 19669875107415 21567620554545 22696009739325 23760937899075 24885716024475 26327371297617 29004731090595 32627938787645 32783125179025 33239849227065 35946034257575 38028425207669 43878952162695 48341218484325 50629560187725 55399748711775 56075813441817 58730289817761 59009625322245 64702861663635 71282813697225 73131586937825 84832640847877 93459689069695 97883816362935 98349375537075 107838102772725 114085275623007 131636856488085 145023655452975 163139693938225 166199246135325 168227440325451 190142126038345 219394760813475 254497922543631 280379067209085 293651449088805 295048126611225 323514308318175 342255826869021 424163204239385 467298445348475 489419081814675 570426378115035 658184282440425 763493767630893 841137201627255 950710630191725 1102824331022401 1272489612718155 1401895336045425 1468257245444025 1711279134345105 2120816021196925 2852131890575175 3308472993067203 3817468838154465 4205686008136275 5514121655112005 6362448063590775 8556395671725525 9925418979201609 16542364965336015 19087344190772325 27570608275560025 49627094896008045 82711824826680075 248135474480040225
- Sum of all divisors σ(n): 507353683207002177
- Sum of proper divisors (its aliquot sum) s(n): 259218208726961952
- 248135474480040225 is an abundant number, because the sum of its proper divisors (259218208726961952) is greater than itself. Its abundance is 11082734246921727
Bases of 248135474480040225
- Binary: 11011100011000110111100110001111001000111001001001001000012
- Hexadecimal: 0x3718DE63C8E4921
- Base-36: 1VV8ONATBIU9
Squares and roots of 248135474480040225
- 248135474480040225 squared (2481354744800402252) is 61571213695434693769321917618050625
- 248135474480040225 cubed (2481354744800402253) is 15278002324628638650375092556575334221171736086390625
-
248135474480040225 is a
perfect square number . Itssquare root is 498131985 -
The
cube root of 248135474480040225 is 628390.5120484333
Scales and comparisons
How big is 248135474480040225?- 248,135,474,480,040,225 seconds is equal to 7,889,940,555 years, 2 weeks, 3 days, 12 hours, 3 minutes, 45 seconds.
-
To count from 1 to 248,135,474,480,040,225 would take you about twenty-three billion, six hundred sixty-nine million, eight hundred twenty-one thousand, six hundred sixty-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 248135474480040225 cubic inches would be around 52365.9 feet tall.
Recreational maths with 248135474480040225
- 248135474480040225 backwards is 522040084474531842
- The number of decimal digits it has is: 18
- The sum of 248135474480040225's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 248135474480040225 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 248135474480040225 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/248135474480040225/
Chicago style:
Numbermatics. 2024. "Number 248135474480040225 - Facts about the integer". https://numbermatics.com/n/248135474480040225/
The information we have on file for 248135474480040225 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 248135474480040225, math, Factors of 248135474480040225, curriculum, school, college, exams, university, Prime factorization of 248135474480040225, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-eight quadrillion, one hundred thirty-five trillion, four hundred seventy-four billion, four hundred eighty million, forty thousand, two hundred twenty-five.