2004053123398043648
2,004,053,123,398,043,648 is an even composite number composed of four prime numbers multiplied together.
2004053123398043648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, five hundred divisors.
Prime factorization of 2004053123398043648:
211 × 74 × 174 × 474
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 2004053123398043648 from the Numbermatics database.
Names of 2004053123398043648
- Cardinal: 2004053123398043648 can be written as Two quintillion, four quadrillion, fifty-three trillion, one hundred twenty-three billion, three hundred ninety-eight million, forty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 2.004053123398043648 × 1018
Factors of 2004053123398043648
Divisors of 2004053123398043648
- Number of divisors d(n): 1500
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 47 49 56 64 68 94 98 112 119 128 136 188 196 224 238 256 272 289 329 343 376 392 448 476 512 544 578 658 686 752 784 799 833 896 952 1024 1088 1156 1316 1372 1504 1568 1598 1666 1792 1904 2023 2048 2176 2209 2303 2312 2401 2632 2744 3008 3136 3196 3332 3584 3808 4046 4352 4418 4606 4624 4802 4913 5264 5488 5593 5831 6016 6272 6392 6664 7168 7616 8092 8704 8836 9212 9248 9604 9826 10528 10976 11186 11662 12032 12544 12784 13328 13583 14161 14336 15232 15463 16121 16184 17408 17672 18424 18496 19208 19652 21056 21952 22372 23324 24064 25088 25568 26656 27166 28322 30464 30926 32242 32368 34391 34816 35344 36848 36992 37553 38416 39151 39304 40817 42112 43904 44744 46648 48128 50176 51136 53312 54332 56644 60928 61852 64484 64736 68782 70688 73696 73984 75106 76832 78302 78608 81634 83521 84224 87808 89488 93296 95081 96256 99127 100352 102272 103823 106624 108241 108664 112847 113288 121856 123704 128968 129472 137564 141376 147392 147968 150212 153664 156604 157216 163268 167042 168448 175616 178976 186592 190162 198254 204544 207646 213248 216482 217328 225694 226576 230911 240737 243712 247408 257936 258944 262871 274057 275128 282752 294784 295936 300424 307328 313208 314432 326536 334084 336896 351232 357952 373184 380324 396508 409088 415292 426496 432964 434656 451388 453152 461822 481474 494816 515872 517888 525742 548114 550256 565504 584647 589568 591872 600848 614656 626416 628864 638401 653072 665567 668168 673792 693889 702464 715904 726761 746368 757687 760648 793016 818176 830584 852992 865928 869312 902776 906304 923644 962948 989632 1031744 1035776 1051484 1096228 1100512 1131008 1169294 1179136 1201696 1229312 1252832 1257728 1276802 1306144 1331134 1336336 1387778 1431808 1453522 1492736 1515374 1521296 1586032 1616377 1636352 1661168 1685159 1705984 1731856 1738624 1764991 1805552 1812608 1840097 1847288 1918399 1925896 1979264 2063488 2071552 2102968 2192456 2201024 2262016 2338588 2358272 2403392 2458624 2505664 2515456 2553604 2612288 2662268 2672672 2775556 2863616 2907044 2985472 3030748 3042592 3172064 3232754 3322336 3370318 3463712 3477248 3529982 3611104 3625216 3680194 3694576 3836798 3851792 3925487 3958528 4092529 4126976 4143104 4205936 4384912 4402048 4468807 4524032 4658969 4677176 4716544 4806784 4879681 4917248 5011328 5030912 5087327 5107208 5224576 5303809 5324536 5345344 5551112 5727232 5814088 5970944 6061496 6085184 6344128 6465508 6644672 6740636 6927424 6954496 7059964 7222208 7250432 7360388 7389152 7673596 7703584 7850974 7917056 8185058 8253952 8411872 8769824 8804096 8937614 9317938 9354352 9613568 9759362 10022656 10061824 10174654 10214416 10449152 10607618 10649072 10690688 10852817 11102224 11314639 11454464 11628176 11796113 11941888 12122992 12170368 12354937 12688256 12880679 12931016 13289344 13481272 13854848 13908992 14119928 14444416 14500864 14720776 14778304 15347192 15407168 15701948 15834112 16370116 16507904 16823744 17539648 17608192 17875228 18635876 18708704 19227136 19518724 20045312 20349308 20428832 20898304 21215236 21298144 21381376 21705634 22204448 22629278 23256352 23592226 24245984 24340736 24709874 25376512 25761358 25862032 26578688 26962544 27478409 27709696 27817984 28239856 28647703 28888832 29001728 29441552 29556608 30004847 30694384 30814336 31281649 31403896 31668224 32612783 32740232 33015808 33647488 34157767 35079296 35216384 35611289 35750456 37271752 37417408 38454272 39037448 40090624 40698616 40857664 41796608 42430472 42596288 42762752 43411268 44408896 45258556 46512704 47184452 48491968 48681472 49419748 50753024 51522716 51724064 53157376 53925088 54956818 55419392 56479712 57295406 57777664 58883104 59113216 60009694 61388768 61628672 62563298 62807792 65225566 65480464 67294976 68315534 70158592 70432768 71222578 71500912 74543504 74834816 75969719 76908544 78074896 79202473 80181248 81397232 81715328 82954577 83593216 84860944 85192576 85525504 86484559 86822536 88817792 90164753 90517112 93025408 94368904 96983936 97362944 98839496 101506048 103045432 103448128 106314752 107850176 109913636 110838784 112959424 114590812 115555328 117766208 118226432 120019388 122777536 123257344 125126596 125615584 130451132 130960928 134589952 136631068 140317184 142445156 143001824 149087008 149669632 151939438 156149792 158404946 162794464 163430656 165909154 169721888 170385152 171051008 172969118 173645072 177635584 180329506 181034224 184497889 186050816 188737808 192348863 193967872 194725888 197678992 200533921 203012096 206090864 206896256 210033929 212629504 215700352 218971543 219827272 221677568 225918848 229181624 231110656 235532416 236452864 239104369 240038776 245555072 246514688 249279023 250253192 251231168 260902264 261921856 269179904 273262136 280634368 284890312 286003648 298174016 299339264 303878876 312299584 316809892 325588928 326861312 331818308 339443776 340770304 345938236 347290144 355271168 360659012 362068448 368995778 372101632 377475616 384697726 387935744 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61449926656 63282775927 63815429888 64064817152 65036388368 65290547072 66790979584 67803894256 68068868224 69101162641 69371206264 69955106816 70965415808 72041637647 72323172488 72931919872 74327300992 75400754296 77490164864 77792992256 78972757304 81103332352 82333300168 82655054272 84945486848 86172290624 88560188416 90254579776 92328707072 93728912648 94095200192 94462919168 95895491012 98099251264 98482617856 99976150204 102673367552 104230454468 107118757312 107537371648 112113430016 113813679644 114258457376 119120519392 121399610962 122421436928 126565551854 127630859776 130072776736 130581094144 135607788512 136137736448 138202325282 138742412528 141930831616 144083275294 144646344976 148654601984 150801508592 154980329728 155585984512 157945514608 162206664704 164666600336 165310108544 167817109271 169890973696 172344581248 174958262857 177120376832 180509159552 184657414144 187457825296 188190400384 188925838336 191790982024 196198502528 196965235712 199173939377 199952300408 205346735104 208460908936 214237514624 215074743296 224226860032 227627359288 228516914752 238241038784 242799221924 244842873856 253131103708 255261719552 260145553472 261162188288 271215577024 272275472896 276404650564 277484825056 283861663232 288166550588 289292689952 297309203968 301603017184 309960659456 315891029216 329333200672 330620217088 335634218542 344689162496 349916525714 361018319104 374915650592 376380800768 377851676672 383581964048 392397005056 393930471424 398347878754 399904600816 407555836801 410693470208 416921817872 424898638367 428475029248 430149486592 442979431489 448453720064 455254718576 457033829504 476482077568 483708138487 485598443848 489685747712 506262207416 510523439104 520291106944 522324376576 542431154048 544550945792 552809301128 554969650112 567723326464 576333101176 578585379904 594618407936 603206034368 619921318912 631782058432 658666401344 661240434176 671268437084 689378324992 699833051428 722036638208 749831301184 752761601536 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3011046406144 3068655712384 3139176040448 3186783030032 3199236806528 3260446694408 3335374542976 3385956969409 3399189106936 3427800233984 3543835451912 3642037748608 3656270636032 3811856620544 3869665107896 3884787550784 4050097659328 4162328855552 4339449232384 4422474409024 4439757200896 4610664809408 4628683039232 4698879059588 4825648274944 4898831359996 5054256467456 5269331210752 5370147496672 5598664411424 5705781715214 5948580937138 5998650409472 6137311424768 6373566060064 6398473613056 6520893388816 6670749085952 6771913938818 6798378213872 7087670903824 7284075497216 7312541272064 7623713241088 7739330215792 7769575101568 8100195318656 8223038354279 8324657711104 8678898464768 8844948818048 8879514401792 9221329618816 9257366078464 9397758119176 9651296549888 9797662719992 10108512934912 10538662421504 10740294993344 11197328822848 11411563430428 11897161874276 11997300818944 12274622849536 12747132120128 12796947226112 13041786777632 13341498171904 13543827877636 13596756427744 14175341807648 14568150994432 15478660431584 15539150203136 16200390637312 16446076708558 17689897636096 17759028803584 18442659237632 18514732156928 18795516238352 19302593099776 19595325439984 19970236003249 20217025869824 20820033279983 21077324843008 21480589986688 22394657645696 22823126860856 23794323748552 23994601637888 24549245699072 25494264240256 25593894452224 26083573555264 26682996343808 27087655755272 27193512855488 28350683615296 29136301988864 30957320863168 31078300406272 32400781274624 32892153417116 35379795272192 36885318475264 37591032476704 39190650879968 39940472006498 41640066559966 42961179973376 44789315291392 45646253721712 47588647497104 49098491398144 50988528480512 51187788904448 52167147110528 53365992687616 54175311510544 54387025710976 56701367230592 57561268479953 58272603977728 61914641726336 62156600812544 64801562549248 65784306834232 70759590544384 73770636950528 75182064953408 78381301759936 79880944012996 83280133119932 85922359946752 89578630582784 91292507443424 95177294994208 101977056961024 104334294221056 108350623021088 108774051421952 113402734461184 115122536959906 123829283452672 124313201625088 129603125098496 131568613668464 139791652022743 141519181088768 147541273901056 150364129906816 156762603519872 159761888025992 166560266239864 171844719893504 179157261165568 182585014886848 190354589988416 203954113922048 208668588442112 216701246042176 217548102843904 226805468922368 230245073919812 247658566905344 263137227336928 279583304045486 300728259813632 313525207039744 319523776051984 333120532479728 343689439787008 358314522331136 365170029773696 380709179976832 407908227844096 417337176884224 433402492084352 435096205687808 453610937844736 460490147839624 495317133810688 526274454673856 559166608090972 601456519627264 627050414079488 639047552103968 666241064959456 730340059547392 761418359953664 834674353768448 866804984168704 870192411375616 907221875689472 920980295679248 978541564159201 990634267621376 1052548909347712 1118333216181944 1202913039254528 1254100828158976 1278095104207936 1332482129918912 1460680119094784 1522836719907328 1733609968337408 1841960591358496 1957083128318402 2105097818695424 2236666432363888 2405826078509056 2508201656317952 2556190208415872 2664964259837824 2921360238189568 3045673439814656 3467219936674816 3683921182716992 3914166256636804 4210195637390848 4473332864727776 5112380416831744 5329928519675648 5842720476379136 6091346879629312 6934439873349632 7367842365433984 7828332513273608 8420391274781696 8946665729455552 10224760833663488 10659857039351296 14735684730867968 15656665026547216 16840782549563392 17893331458911104 20449521667326976 21319714078702592 29471369461735936 31313330053094432 35786662917822208 40899043334653952 42639428157405184 58942738923471872 62626660106188864 71573325835644416 117885477846943744 125253320212377728 143146651671288832 250506640424755456 286293303342577664 501013280849510912 1002026561699021824 2004053123398043648
- Sum of all divisors σ(n): 5074845083789075595
- Sum of proper divisors (its aliquot sum) s(n): 3070791960391031947
- 2004053123398043648 is an abundant number, because the sum of its proper divisors (3070791960391031947) is greater than itself. Its abundance is 1066738836992988299
Bases of 2004053123398043648
- Binary: 11011110011111101001110110010101000110010011100001000000000002
- Hexadecimal: 0x1BCFD3B2A3270800
- Base-36: F84PJJ6GWKJK
Squares and roots of 2004053123398043648
- 2004053123398043648 squared (20040531233980436482) is 4016228921401454360887864153713147904
- 2004053123398043648 cubed (20040531233980436483) is 8048736114216140559757033376361900069844518329271713792
-
The
square root of 2004053123398043648 is 1415645832.6142325235 -
The
cube root of 2004053123398043648 is 1260771.5781851751
Scales and comparisons
How big is 2004053123398043648?- 2,004,053,123,398,043,648 seconds is equal to 63,722,690,380 years, 38 weeks, 2 days, 11 hours, 14 minutes, 8 seconds.
-
To count from 1 to 2,004,053,123,398,043,648 would take you about two hundred twenty-three billion, twenty-nine million, four hundred sixteen thousand, three hundred thirty-two 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 2004053123398043648 cubic inches would be around 105064.3 feet tall.
Recreational maths with 2004053123398043648
- 2004053123398043648 backwards is 8463408933213504002
- The number of decimal digits it has is: 19
- The sum of 2004053123398043648's digits is 65
- More coming soon!
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"Number 2004053123398043648 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 2004053123398043648 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/2004053123398043648/
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Numbermatics. 2024. "Number 2004053123398043648 - Facts about the integer". https://numbermatics.com/n/2004053123398043648/
The information we have on file for 2004053123398043648 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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