13640070460243968
13,640,070,460,243,968 is an even composite number composed of six prime numbers multiplied together.
13640070460243968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13640070460243968:
215 × 32 × 13 × 17 × 293 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 29 × 29 × 29 × 8581)See below for interesting mathematical facts about the number 13640070460243968 from the Numbermatics database.
Names of 13640070460243968
- Cardinal: 13640070460243968 can be written as Thirteen quadrillion, six hundred forty trillion, seventy billion, four hundred sixty million, two hundred forty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3640070460243968 × 1016
Factors of 13640070460243968
Divisors of 13640070460243968
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 29 32 34 36 39 48 51 52 58 64 68 72 78 87 96 102 104 116 117 128 136 144 153 156 174 192 204 208 221 232 234 256 261 272 288 306 312 348 377 384 408 416 442 464 468 493 512 522 544 576 612 624 663 696 754 768 816 832 841 884 928 936 986 1024 1044 1088 1131 1152 1224 1248 1326 1392 1479 1508 1536 1632 1664 1682 1768 1856 1872 1972 1989 2048 2088 2176 2262 2304 2448 2496 2523 2652 2784 2958 3016 3072 3264 3328 3364 3393 3536 3712 3744 3944 3978 4096 4176 4352 4437 4524 4608 4896 4992 5046 5304 5568 5916 6032 6144 6409 6528 6656 6728 6786 7072 7424 7488 7569 7888 7956 8192 8352 8581 8704 8874 9048 9216 9792 9984 10092 10608 10933 11136 11832 12064 12288 12818 13056 13312 13456 13572 14144 14297 14848 14976 15138 15776 15912 16384 16704 17162 17408 17748 18096 18432 19227 19584 19968 20184 21216 21866 22272 23664 24128 24389 24576 25636 25743 26112 26624 26912 27144 28288 28594 29696 29952 30276 31552 31824 32768 32799 33408 34324 34816 35496 36192 36864 38454 39168 39936 40368 42432 42891 43732 44544 47328 48256 48778 49152 51272 51486 52224 53248 53824 54288 56576 57188 57681 59392 59904 60552 63104 63648 65598 66816 68648 69632 70992 72384 73167 73728 76908 77229 78336 79872 80736 84864 85782 87464 89088 94656 96512 97556 98304 98397 102544 102972 104448 106496 107648 108576 111553 113152 114376 115362 118784 119808 121104 126208 127296 128673 131196 133632 137296 139264 141984 144768 145877 146334 147456 153816 154458 156672 159744 161472 169728 171564 174928 178176 185861 189312 193024 195112 196794 205088 205944 208896 212992 215296 217152 219501 223106 226304 228752 230724 237568 239616 242208 248849 252416 254592 257346 262392 267264 274592 278528 283968 289536 291754 292668 294912 307632 308916 313344 317057 319488 322944 334659 339456 343128 349856 356352 371722 378624 386048 390224 393588 410176 411888 414613 417792 425984 430592 434304 437631 439002 446212 452608 457504 461448 475136 479232 484416 497698 504832 509184 514692 524784 534528 549184 557056 557583 567936 579072 583508 585336 615264 617832 626688 634114 638976 645888 669318 678912 686256 699712 712704 743444 746547 757248 772096 780448 787176 820352 823776 829226 835584 861184 868608 875262 878004 892424 905216 915008 922896 950272 951171 958464 968832 995396 1003977 1009664 1018368 1029384 1049568 1069056 1098368 1115166 1135872 1158144 1167016 1170672 1230528 1235664 1243839 1253376 1268228 1277952 1291776 1312893 1338636 1357824 1372512 1399424 1425408 1486888 1493094 1514496 1544192 1560896 1574352 1640704 1647552 1658452 1671168 1672749 1722368 1737216 1750524 1756008 1784848 1810432 1830016 1845792 1896401 1902342 1916928 1937664 1990792 2007954 2019328 2036736 2058768 2099136 2138112 2196736 2230332 2239641 2271744 2316288 2334032 2341344 2461056 2471328 2487678 2506752 2536456 2583552 2625786 2677272 2715648 2745024 2798848 2850816 2853513 2973776 2986188 3028992 3088384 3121792 3148704 3235037 3281408 3295104 3316904 3345498 3444736 3474432 3501048 3512016 3569696 3620864 3660032 3691584 3731517 3792802 3804684 3833856 3875328 3981584 4015908 4038656 4073472 4117536 4198272 4230433 4276224 4393472 4460664 4479282 4543488 4632576 4668064 4682688 4922112 4942656 4975356 5013504 5072912 5167104 5251572 5354544 5389969 5431296 5490048 5597696 5689203 5707026 5947552 5972376 6057984 6176768 6243584 6297408 6470074 6562816 6590208 6633808 6690996 6889472 6948864 7002096 7024032 7139392 7216621 7241728 7320064 7383168 7463034 7585604 7609368 7750656 7963168 8031816 8077312 8146944 8235072 8396544 8460866 8552448 8786944 8921328 8958564 9086976 9265152 9336128 9365376 9705111 9844224 9885312 9950712 10145824 10334208 10503144 10709088 10779938 10862592 10980096 11195392 11378406 11414052 11895104 11944752 12115968 12353536 12487168 12594816 12691299 12940148 13125632 13180416 13267616 13381992 13778944 13897728 14004192 14048064 14278784 14433242 14640128 14766336 14926068 15171208 15218736 15501312 15926336 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32020147377 32647993404 32898318336 33115969536 33254189568 34655707136 34954463232 35332576416 36025372032 36694278144 38276957784 38987670528 39752134656 40182145728 40758116352 42236643072 42693529836 43020877824 43530657872 44154626048 44338919424 46251323989 46605950976 46751956992 47110101888 48033829376 48971990106 49673954304 51035943712 51983560704 53002846208 53576194304 54038058048 54812639232 56315524096 56924706448 57415436676 59118559232 59628201984 60273218592 61137174528 62141267968 62813469184 63354964608 64040294754 65295986808 66231939072 66508379136 69311414272 69908926464 70665152832 72050744064 73388556288 76553915568 77975341056 79504269312 80364291456 84473286144 85387059672 87061315744 88309252096 88677838848 92502647978 93211901952 93503913984 94220203776 96067658752 97943980212 99347908608 102071887424 103967121408 106005692416 107152388608 108076116096 112631048192 113849412896 114830873352 118237118464 119256403968 120546437184 122274349056 125626938368 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576405952512 612431324544 623802728448 642914331648 675786289152 683096477376 696490525952 709422710784 740021183824 753761630208 768541270016 783551841696 794783268864 816575099392 832523831802 857219108864 864608928768 901048385536 910795303168 918646986816 954051231744 964371497472 1005015506944 1013679433728 1024644716064 1044735788928 1064134066176 1110031775736 1130642445312 1152811905024 1224862649088 1247605456896 1285828663296 1351572578304 1366192954752 1392981051904 1480042367648 1507523260416 1537082540032 1567103683392 1589566537728 1633150198784 1665047663604 1714438217728 1729217857536 1802096771072 1821590606336 1837293973632 1928742994944 2010031013888 2027358867456 2049289432128 2089471577856 2128268132352 2220063551472 2261284890624 2305623810048 2449725298176 2571657326592 2703145156608 2732385909504 2785962103808 2960084735296 3015046520832 3074165080064 3134207366784 3266300397568 3330095327208 3428876435456 3458435715072 3643181212672 3674587947264 3857485989888 4020062027776 4054717734912 4098578864256 4178943155712 4440127102944 4522569781248 4611247620096 4899450596352 5143314653184 5406290313216 5464771819008 5571924207616 5920169470592 6030093041664 6268414733568 6532600795136 6660190654416 6857752870912 6916871430144 7286362425344 7349175894528 7714971979776 8109435469824 8197157728512 8357886311424 8880254205888 9045139562496 9222495240192 9798901192704 10286629306368 10929543638016 11143848415232 11840338941184 12060186083328 12536829467136 13065201590272 13320381308832 13833742860288 14572724850688 14698351789056 15429943959552 16218870939648 16394315457024 16715772622848 17760508411776 18090279124992 19597802385408 20573258612736 21859087276032 22287696830464 23680677882368 25073658934272 26130403180544 26640762617664 27667485720576 29145449701376 29396703578112 30859887919104 32788630914048 33431545245696 35521016823552 36180558249984 39195604770816 43718174552064 44575393660928 47361355764736 50147317868544 52260806361088 53281525235328 58290899402752 58793407156224 61719775838208 65577261828096 66863090491392 71042033647104 78391209541632 87436349104128 89150787321856 94722711529472 100294635737088 106563050470656 116581798805504 117586814312448 131154523656192 133726180982784 142084067294208 156782419083264 174872698208256 189445423058944 200589271474176 213126100941312 235173628624896 262309047312384 267452361965568 284168134588416 349745396416512 378890846117888 401178542948352 426252201882624 470347257249792 524618094624768 568336269176832 757781692235776 802357085896704 852504403765248 1049236189249536 1136672538353664 1515563384471552 1705008807530496 2273345076707328 3410017615060992 4546690153414656 6820035230121984 13640070460243968
- Sum of all divisors σ(n): 46541358229111200
- Sum of proper divisors (its aliquot sum) s(n): 32901287768867232
- 13640070460243968 is an abundant number, because the sum of its proper divisors (32901287768867232) is greater than itself. Its abundance is 19261217308623264
Bases of 13640070460243968
- Binary: 1100000111010110010010011000100111111010000000000000002
- Hexadecimal: 0x307592627E8000
- Base-36: 3QB01V3UGW0
Squares and roots of 13640070460243968
- 13640070460243968 squared (136400704602439682) is 186051522160420093020030080385024
- 13640070460243968 cubed (136400704602439683) is 2537755871503772109751397857025101987442413535232
-
The
square root of 13640070460243968 is 116790712.2173846837 -
The
cube root of 13640070460243968 is 238930.8370581533
Scales and comparisons
How big is 13640070460243968?- 13,640,070,460,243,968 seconds is equal to 433,712,049 years, 6 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,640,070,460,243,968 would take you about one billion, three hundred one million, one hundred thirty-six thousand, one hundred forty-seven 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 13640070460243968 cubic inches would be around 19910.9 feet tall.
Recreational maths with 13640070460243968
- 13640070460243968 backwards is 86934206407004631
- The number of decimal digits it has is: 17
- The sum of 13640070460243968's digits is 63
- More coming soon!
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"Number 13640070460243968 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 13640070460243968 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13640070460243968/
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The information we have on file for 13640070460243968 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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