742968028036415997
742,968,028,036,415,997 is an odd composite number composed of five prime numbers multiplied together.
What does the number 742968028036415997 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
742968028036415997 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 742968028036415997:
313 × 17 × 192 × 233 × 792
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 19 × 19 × 23 × 23 × 23 × 79 × 79)See below for interesting mathematical facts about the number 742968028036415997 from the Numbermatics database.
Names of 742968028036415997
- Cardinal: 742968028036415997 can be written as Seven hundred forty-two quadrillion, nine hundred sixty-eight trillion, twenty-eight billion, thirty-six million, four hundred fifteen thousand, nine hundred ninety-seven.
Scientific notation
- Scientific notation: 7.42968028036415997 × 1017
Factors of 742968028036415997
Divisors of 742968028036415997
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 3 9 17 19 23 27 51 57 69 79 81 153 171 207 237 243 323 361 391 437 459 513 529 621 711 729 969 1083 1173 1311 1343 1377 1501 1539 1587 1817 1863 2133 2187 2907 3249 3519 3933 4029 4131 4503 4617 4761 5451 5589 6137 6241 6399 6561 7429 8303 8721 8993 9747 10051 10557 11799 12087 12167 12393 13509 13851 14283 16353 16767 18411 18723 19197 19683 22287 24909 25517 26163 26979 28519 29241 30153 30889 31671 34523 35397 36261 36501 37179 40527 41553 41791 42849 49059 50301 55233 56169 57591 59049 66861 74727 76551 78489 80937 85557 87723 90459 92667 95013 103569 106097 106191 108783 109503 111537 118579 121581 124659 125373 128547 141151 143543 147177 150903 165699 168507 170867 172773 177147 190969 200583 206839 224181 229653 231173 235467 242811 256671 263169 271377 278001 285039 310707 318291 318573 326349 328509 334611 355737 364743 373977 376119 385641 423453 430629 441531 452709 484823 497097 505521 512601 518319 531441 572907 586891 601749 620517 655937 672543 688959 693519 706401 710447 728433 770013 789507 794029 814131 834003 855117 932121 954873 955719 961193 979047 985527 1003833 1067211 1094229 1121931 1128357 1156923 1270359 1291887 1324593 1358127 1454469 1491291 1516563 1537803 1554957 1594323 1718721 1760673 1805247 1861551 1967811 2015843 2017629 2066877 2080557 2119203 2131341 2185299 2253001 2310039 2368521 2382087 2440231 2442393 2502009 2565351 2727317 2796363 2864619 2867157 2883579 2937141 2956581 3011499 3201633 3246473 3282687 3301489 3365793 3385071 3470769 3811077 3875661 3929941 3973779 4074381 4363407 4392287 4473873 4549689 4613409 4664871 5156163 5282019 5415741 5584653 5903433 6047529 6052887 6200631 6241671 6357609 6394023 6555897 6759003 6930117 7105563 7146261 7320693 7327179 7506027 7696053 8181951 8389089 8593857 8601471 8650737 8811423 8869743 9034497 9604899 9739419 9848061 9904467 10097379 10155213 10412307 11150929 11433231 11626983 11789823 11921337 12223143 13090221 13176861 13421619 13498493 13649067 13840227 13994613 15086551 15468489 15846057 16247223 16340281 16753959 17710299 18142587 18158661 18262667 18601893 18725013 19072827 19182069 19667691 20277009 20790351 21316689 21438783 21962079 21981537 22518081 23088159 24545853 25167267 25781571 25804413 25952211 26434269 26609229 27103491 28814697 29218257 29544183 29713401 30292137 30465639 31236921 33452787 34299693 34880949 35369469 35764011 36669429 38301017 39270663 39530583 40264857 40495479 40947201 41520681 41983839 45259653 46364389 46405467 47538171 48741669 49020843 50261877 51819023 53130897 54427761 54475983 54788001 55805679 56125313 56175039 57218481 57546207 59003073 60831027 62371053 62728291 63950067 64316349 65886237 65944611 67554243 69264477 73637559 74668879 75501801 75934247 77344713 77413239 77856633 79302807 79827687 86444091 87654771 88632549 89140203 91396917 93710763 100358361 102899079 104642847 106108407 107292033 114903051 117811989 118591749 120794571 121486437 122841603 124562043 125951517 135778959 139093167 139216401 142614513 146225007 147062529 150785631 155457069 159392691 163283283 163427949 164364003 167417037 168375939 168525117 171655443 172638621 177009219 182493081 187113159 188184873 191850201 192949047 197658711 197833833 202662729 207793431 220912677 224006637 226505403 227802741 232034139 232239717 233569899 237908421 239483061 256471367 259332273 262964313 265897647 267420609 274190751 281132289 301075083 308697237 310465339 313928541 318325221 321876099 344709153 346990673 353435967 355775247 362383713 364459311 368524809 373686129 407336877 417279501 417649203 427843539 438675021 441187587 452356893 466371207 478178073 489849849 490283847 493092009 502251111 505127817 505575351 514966329 517915863 531027657 547479243 561339477 564554619 575550603 578847141 592976133 593501499 607988187 623380293 662738031 672019911 679516209 683408223 696102417 696719151 700709697 713725263 718449183 769414101 777996819 788892939 797692941 802261827 822572253 843396867 880923391 903225249 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4927313187 5052055293 5080991571 5209624269 5336785197 5341513491 5471893683 5898841441 5964642279 6048179199 6115645881 6150674007 6264921753 6306387273 6466042647 6924726909 7001971371 7100036451 7220356443 7403150277 7928310519 8129027241 8334825399 8382564153 8476070607 8594780967 9307147131 9368748171 9542771109 9597428523 9605931669 9784360251 9840401397 9950169843 10089525483 10726537761 10998095679 11266546527 11276528481 11551775553 11617939791 11844225567 11912064849 12213636111 12592022589 12910807971 12984756237 13225945923 13237663869 13313484243 13560779997 13638451059 13650534477 13983728301 14337746739 14781939561 15156165879 15242974713 15628872807 16010355591 16024540473 16415681049 17696524323 17893926837 18144537597 18346937643 18452022021 18794765259 18919161819 19398127941 20261237993 20774180727 21005914113 21300109353 21661069329 22209450831 23784931557 24387081723 24526761781 25004476197 25147692459 25428211821 25784342901 27412263167 27921441393 28106244513 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170272456371 182351141937 186967626543 189053227017 191700984177 194949623961 214064384013 219483735507 220740856029 225040285773 226329232131 228853906389 232059086109 246710368503 251292972537 252956200617 257654819943 259130570121 259360155063 265690837719 272417188041 289616519547 296948583333 304196756229 304466268987 311897939931 313684374357 321625750923 329768174997 339984609903 348591815217 350588418399 357100539921 359464074561 368238178593 368564430879 377560664127 399112368147 411560317251 421979565789 432279600957 466008473839 477806156721 483136024599 489902515119 498204594567 510817369113 547053425811 560902879629 575102952531 584848871883 642193152039 658451206521 662222568087 678987696393 696177258327 740131105509 753878917611 758868601851 772964459829 777391710363 778080465189 797072513157 868849558641 890845749999 912590268687 935693819793 941053123071 964877252769 1019953829709 1045775445651 1051765255197 1071301619763 1078392223683 1104714535779 1132681992381 1197337104441 1234680951753 1265938697367 1296838802871 1398025421517 1433418470163 1449408073797 1469707545357 1494613783701 1532452107339 1641160277433 1682708638887 1725308857593 1754546615649 1926579456117 1975353619563 1986667704261 2036963089179 2088531774981 2220393316527 2261636752833 2276605805553 2332175131089 2334241395567 2391217539471 2606548675923 2672537249997 2737770806061 2823159369213 2894631758307 3059861489127 3155295765591 3213904859289 3235176671049 3314143607337 3592011313323 3704042855259 3890516408613 4194076264551 4300255410489 4348224221391 4409122636071 4483841351103 4923480832299 5048125916661 5175926572779 5263639846947 5779738368351 5926060858689 5960003112783 6110889267537 6265595324943 6661179949581 6784910258499 6829817416659 6996525393267 7002724186701 7173652618413 7819646027769 8017611749991 8213312418183 8469478107639 8683895274921 9179584467381 9465887296773 9705530013147 9942430822011 11112128565777 12582228793653 12900766231467 13227367908213 13451524053309 14770442496897 15144377749983 17339215105053 17778182576067 17880009338349 18332667802611 19983539848743 20354730775497 20489452249977 20989576179801 21520957855239 23458938083307 24052835249973 24639937254549 25408434322917 26051685824763 27538753402143 28397661890319 29116590039441 29827292466033 33336385697331 37746686380959 38702298694401 39682103724639 40354572159927 44311327490691 45433133249949 52017645315159 53640028015047 54998003407833 59950619546229 61064192326491 61468356749931 62968728539403 70376814249921 73919811763647 76225302968751 82616260206429 85192985670957 89481877398099 100009157091993 113240059142877 116106896083203 119046311173917 121063716479781 132933982472073 136299399749847 156052935945477 160920084045141 164994010223499 179851858638687 184405070249793 188906185618209 211130442749763 228675908906253 255578957012871 339720177428631 348320688249609 398801947416219 408898199249541 468158807836431 482760252135423 494982030670497 539555575916061 553215210749379 566718556854627 633391328249289 686027726718759 766736871038613 1019160532285893 1044962064748827 1196405842248657 1404476423509293 1448280756406269 1618666727748183 1700155670563881 1900173984747867 2058083180156277 2300210613115839 3057481596857679 3134886194246481 3589217526745971 4344842269218807 4856000183244549 9172444790573037 9404658582739443 10767652580237913 13034526807656421 14568000549733647 27517334371719111 32302957740713739 39103580422969263 43704001649200941 82552003115157333 247656009345471999 742968028036415997
- Sum of all divisors σ(n): 1318675271156288640
- Sum of proper divisors (its aliquot sum) s(n): 575707243119872643
- 742968028036415997 is a deficient number, because the sum of its proper divisors (575707243119872643) is less than itself. Its deficiency is 167260784916543354
Bases of 742968028036415997
- Binary: 1010010011111000110101111100001011101001010101000001111111012
- Hexadecimal: 0xA4F8D7C2E9541FD
- Base-36: 5N7K6O6AV2T9
Squares and roots of 742968028036415997
- 742968028036415997 squared (7429680280364159972) is 552001490684320626958813956837504009
- 742968028036415997 cubed (7429680280364159973) is 410119459006891751360069390628807758184576927479231973
-
The
square root of 742968028036415997 is 861955931.6092766451 -
The
cube root of 742968028036415997 is 905711.8329593099
Scales and comparisons
How big is 742968028036415997?- 742,968,028,036,415,997 seconds is equal to 23,624,085,140 years, 28 weeks, 6 days, 5 hours, 19 minutes, 57 seconds.
-
To count from 1 to 742,968,028,036,415,997 would take you about seventy billion, eight hundred seventy-two million, two hundred fifty-five thousand, four hundred twenty-one 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 742968028036415997 cubic inches would be around 75476 feet tall.
Recreational maths with 742968028036415997
- 742968028036415997 backwards is 799514630820869247
- The number of decimal digits it has is: 18
- The sum of 742968028036415997's digits is 90
- More coming soon!
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The information we have on file for 742968028036415997 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 742968028036415997, math, Factors of 742968028036415997, curriculum, school, college, exams, university, Prime factorization of 742968028036415997, STEM, science, technology, engineering, physics, economics, calculator, seven hundred forty-two quadrillion, nine hundred sixty-eight trillion, twenty-eight billion, thirty-six million, four hundred fifteen thousand, nine hundred ninety-seven.