1353615153721639011840
1,353,615,153,721,639,011,840 is an even composite number composed of seven prime numbers multiplied together.
1353615153721639011840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 1353615153721639011840:
29 × 3 × 5 × 7 × 13 × 1213 × 1596731137411
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 1213 × 1596731137411)See below for interesting mathematical facts about the number 1353615153721639011840 from the Numbermatics database.
Names of 1353615153721639011840
- Cardinal: 1353615153721639011840 can be written as One sextillion, three hundred fifty-three quintillion, six hundred fifteen quadrillion, one hundred fifty-three trillion, seven hundred twenty-one billion, six hundred thirty-nine million, eleven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.35361515372163901184 × 1021
Factors of 1353615153721639011840
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1596731138654
Divisors of 1353615153721639011840
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 128 130 140 156 160 168 182 192 195 208 210 224 240 256 260 273 280 312 320 336 364 384 390 416 420 448 455 480 512 520 546 560 624 640 672 728 768 780 832 840 896 910 960 1040 1092 1120 1213 1248 1280 1344 1365 1456 1536 1560 1664 1680 1792 1820 1920 2080 2184 2240 2426 2496 2560 2688 2730 2912 3120 3328 3360 3584 3639 3640 3840 4160 4368 4480 4852 4992 5376 5460 5824 6065 6240 6656 6720 7278 7280 7680 8320 8491 8736 8960 9704 9984 10752 10920 11648 12130 12480 13440 14556 14560 15769 16640 16982 17472 17920 18195 19408 19968 21840 23296 24260 24960 25473 26880 29112 29120 31538 33280 33964 34944 36390 38816 42455 43680 46592 47307 48520 49920 50946 53760 58224 58240 63076 67928 69888 72780 77632 78845 84910 87360 94614 97040 99840 101892 110383 116448 116480 126152 127365 135856 139776 145560 155264 157690 169820 174720 189228 194080 203784 220766 232896 232960 236535 252304 254730 271712 291120 310528 315380 331149 339640 349440 378456 388160 407568 441532 465792 473070 504608 509460 543424 551915 582240 621056 630760 662298 679280 698880 756912 776320 815136 883064 931584 946140 1009216 1018920 1086848 1103830 1164480 1261520 1324596 1358560 1513824 1552640 1630272 1655745 1766128 1863168 1892280 2018432 2037840 2173696 2207660 2328960 2523040 2649192 2717120 3027648 3105280 3260544 3311490 3532256 3784560 4036864 4075680 4347392 4415320 4657920 5046080 5298384 5434240 6055296 6521088 6622980 7064512 7569120 8073728 8151360 8830640 9315840 10092160 10596768 10868480 12110592 13042176 13245960 14129024 15138240 16302720 17661280 20184320 21193536 21736960 24221184 26491920 28258048 30276480 32605440 35322560 40368640 42387072 52983840 56516096 60552960 65210880 70645120 84774144 105967680 121105920 141290240 169548288 211935360 282580480 423870720 847741440 1596731137411 3193462274822 4790193412233 6386924549644 7983655687055 9580386824466 11177117961877 12773849099288 15967311374110 19160773648932 20757504786343 22354235923754 23950967061165 25547698198576 31934622748220 33531353885631 38321547297864 41515009572686 44708471847508 47901934122330 51095396397152 55885589809385 62272514359029 63869245496440 67062707771262 76643094595728 83030019145372 89416943695016 95803868244660 102190792794304 103787523931715 111771179618770 124545028718058 127738490992880 134125415542524 145302533504401 153286189191456 166060038290744 167656769428155 178833887390032 191607736489320 204381585588608 207575047863430 223542359237540 249090057436116 255476981985760 268250831085048 290605067008802 306572378382912 311362571795145 332120076581488 335313538856310 357667774780064 383215472978640 408763171177216 415150095726860 435907600513203 447084718475080 498180114872232 510953963971520 536501662170096 581210134017604 613144756765824 622725143590290 664240153162976 670627077712620 715335549560128 726512667522005 766430945957280 817526342354432 830300191453720 871815201026406 894169436950160 996360229744464 1021907927943040 1073003324340192 1162420268035208 1226289513531648 1245450287180580 1328480306325952 1341254155425240 1430671099120256 1453025335044010 1532861891914560 1660600382907440 1743630402052812 1788338873900320 1936834869679543 1992720459488928 2043815855886080 2146006648680384 2179538002566015 2324840536070416 2452579027063296 2490900574361160 2656960612651904 2682508310850480 2861342198240512 2906050670088020 3065723783829120 3321200765814880 3487260804105624 3576677747800640 3873669739359086 3985440918977856 4087631711772160 4292013297360768 4359076005132030 4649681072140832 4981801148722320 5313921225303808 5365016621700960 5722684396481024 5810504609038629 5812101340176040 6131447567658240 6642401531629760 6974521608211248 7153355495601280 7747339478718172 7970881837955712 8584026594721536 8718152010264060 9299362144281664 9684174348397715 9963602297444640 10627842450607616 10730033243401920 11621009218077258 11624202680352080 12262895135316480 13284803063259520 13557844087756801 13949043216422496 14306710991202560 15494678957436344 15941763675911424 17168053189443072 17436304020528120 18598724288563328 19368348696795430 19927204594889280 21460066486803840 23242018436154516 23248405360704160 25178853305834059 26569606126519040 27115688175513602 27898086432844992 28613421982405120 29052523045193145 30989357914872688 31883527351822848 34872608041056240 37197448577126656 38736697393590860 39854409189778560 40673532263270403 42920132973607680 46484036872309032 46496810721408320 50357706611668118 53139212253038080 54231376351027204 55796172865689984 58105046090386290 61978715829745376 67789220438784005 69745216082112480 74394897154253312 75536559917502177 77473394787181720 79708818379557120 81347064526540806 85840265947215360 92968073744618064 92993621442816640 100715413223336236 108462752702054408 111592345731379968 116210092180772580 123957431659490752 125894266529170295 135578440877568010 139490432164224960 151073119835004354 154946789574363440 159417636759114240 162694129053081612 176251973140838413 185936147489236128 185987242885633280 201430826446672472 203367661316352015 216925505404108816 223184691462759936 232420184361545160 247914863318981504 251788533058340590 271156881755136020 278980864328449920 302146239670008708 309893579148726880 325388258106163224 352503946281676826 371872294978472256 371974485771266560 377682799587510885 402861652893344944 406735322632704030 433851010808217632 464840368723090320 495829726637963008 503577066116681180 528755919422515239 542313763510272040 557961728656899840 604292479340017416 619787158297453760 650776516212326448 705007892563353652 743744589956944512 755365599175021770 805723305786689888 813470645265408060 867702021616435264 881259865704192065 929680737446180640 991659453275926016 1007154132233362360 1057511838845030478 1084627527020544080 1115923457313799680 1208584958680034832 1239574316594907520 1301553032424652896 1410015785126707304 1487489179913889024 1510731198350043540 1611446611573379776 1626941290530816120 1735404043232870528 1762519731408384130 1859361474892361280 2014308264466724720 2115023677690060956 2169255054041088160 2417169917360069664 2479148633189815040 2603106064849305792 2643779597112576195 2820031570253414608 2974978359827778048 3021462396700087080 3222893223146759552 3253882581061632240 3470808086465741056 3525039462816768260 3718722949784722560 4028616528933449440 4230047355380121912 4338510108082176320 4834339834720139328 4958297266379630080 5206212129698611584 5287559194225152390 5640063140506829216 6042924793400174160 6445786446293519104 6507765162123264480 6941616172931482112 7050078925633536520 7437445899569445120 8057233057866898880 8460094710760243824 8677020216164352640 9668679669440278656 10412424259397223168 10575118388450304780 11280126281013658432 12085849586800348320 12891572892587038208 13015530324246528960 14100157851267073040 14874891799138890240 16114466115733797760 16920189421520487648 17354040432328705280 19337359338880557312 20824848518794446336 21150236776900609560 22560252562027316864 24171699173600696640 26031060648493057920 28200315702534146080 32228932231467595520 33840378843040975296 34708080864657410560 38674718677761114624 42300473553801219120 45120505124054633728 48343398347201393280 52062121296986115840 56400631405068292160 64457864462935191040 67680757686081950592 84600947107602438240 90241010248109267456 96686796694402786560 104124242593972231680 112801262810136584320 135361515372163901184 169201894215204876480 193373593388805573120 225602525620273168640 270723030744327802368 338403788430409752960 451205051240546337280 676807576860819505920 1353615153721639011840
- Sum of all divisors σ(n): 5330345738288218002432
- Sum of proper divisors (its aliquot sum) s(n): 3976730584566578990592
- 1353615153721639011840 is an abundant number, because the sum of its proper divisors (3976730584566578990592) is greater than itself. Its abundance is 2623115430844939978752
Bases of 1353615153721639011840
- Binary: 100100101100001001011110001001010001100101001000001000110000110000000002
- Hexadecimal: 0x49612F128CA4118600
- Base-36: 7XO4STGDEYMZ9C
Squares and roots of 1353615153721639011840
- 1353615153721639011840 squared (13536151537216390118402) is 1832273984384856412365903686449411660185600
- 1353615153721639011840 cubed (13536151537216390118403) is 2480193831033267411019331182196502683960081581002510254997504000
-
The
square root of 1353615153721639011840 is 36791509261.2635152255 -
The
cube root of 1353615153721639011840 is 11061951.1399808983
Scales and comparisons
How big is 1353615153721639011840?- 1,353,615,153,721,639,011,840 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 1,353,615,153,721,639,011,840 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 1353615153721639011840 cubic inches would be around 921829.3 feet tall.
Recreational maths with 1353615153721639011840
- 1353615153721639011840 backwards is 0481109361273515163531
- The number of decimal digits it has is: 22
- The sum of 1353615153721639011840's digits is 75
- 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 1353615153721639011840 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 1353615153721639011840 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/1353615153721639011840/
Chicago style:
Numbermatics. 2024. "Number 1353615153721639011840 - Facts about the integer". https://numbermatics.com/n/1353615153721639011840/
The information we have on file for 1353615153721639011840 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 1353615153721639011840, math, Factors of 1353615153721639011840, curriculum, school, college, exams, university, Prime factorization of 1353615153721639011840, STEM, science, technology, engineering, physics, economics, calculator, one sextillion, three hundred fifty-three quintillion, six hundred fifteen quadrillion, one hundred fifty-three trillion, seven hundred twenty-one billion, six hundred thirty-nine million, eleven thousand, eight hundred forty.