40545138713374080
40,545,138,713,374,080 is an even composite number composed of seven prime numbers multiplied together.
40545138713374080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 40545138713374080:
27 × 33 × 5 × 17 × 61 × 449 × 5039297
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 61 × 449 × 5039297)See below for interesting mathematical facts about the number 40545138713374080 from the Numbermatics database.
Names of 40545138713374080
- Cardinal: 40545138713374080 can be written as Forty quadrillion, five hundred forty-five trillion, one hundred thirty-eight billion, seven hundred thirteen million, three hundred seventy-four thousand and eighty.
Scientific notation
- Scientific notation: 4.054513871337408 × 1016
Factors of 40545138713374080
Divisors of 40545138713374080
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 61 64 68 72 80 85 90 96 102 108 120 122 128 135 136 144 153 160 170 180 183 192 204 216 240 244 255 270 272 288 305 306 320 340 360 366 384 408 432 449 459 480 488 510 540 544 549 576 610 612 640 680 720 732 765 816 864 898 915 918 960 976 1020 1037 1080 1088 1098 1152 1220 1224 1347 1360 1440 1464 1530 1632 1647 1728 1796 1830 1836 1920 1952 2040 2074 2160 2176 2196 2245 2295 2440 2448 2694 2720 2745 2880 2928 3060 3111 3264 3294 3456 3592 3660 3672 3904 4041 4080 4148 4320 4392 4490 4590 4880 4896 5185 5388 5440 5490 5760 5856 6120 6222 6528 6588 6735 7184 7320 7344 7633 7808 8082 8160 8235 8296 8640 8784 8980 9180 9333 9760 9792 10370 10776 10880 10980 11712 12123 12240 12444 13176 13470 14368 14640 14688 15266 15555 16164 16320 16470 16592 17280 17568 17960 18360 18666 19520 19584 20205 20740 21552 21960 22899 23424 24246 24480 24888 26352 26940 27389 27999 28736 29280 29376 30532 31110 32328 32640 32940 33184 35136 35920 36720 37332 38165 39040 40410 41480 43104 43920 45798 46665 48492 48960 49776 52704 53880 54778 55998 57472 58560 58752 60615 61064 62220 64656 65880 66368 68697 70272 71840 73440 74664 76330 80820 82167 82960 86208 87840 91596 93330 96984 97920 99552 105408 107760 109556 111996 114495 117120 121230 122128 124440 129312 131760 132736 136945 137394 139995 143680 146880 149328 152660 161640 164334 165920 172416 175680 183192 186660 193968 199104 206091 210816 215520 219112 223992 228990 242460 244256 246501 248880 258624 263520 273890 274788 279990 287360 293760 298656 305320 323280 328668 331840 343485 351360 366384 373320 387936 398208 410835 412182 431040 438224 447984 457980 465613 484920 488512 493002 497760 517248 527040 547780 549576 559980 597312 610640 646560 657336 663680 686970 732768 739503 746640 775872 821670 824364 862080 876448 895968 915960 931226 969840 977024 986004 995520 1030455 1054080 1095560 1099152 1119960 1194624 1221280 1232505 1293120 1314672 1373940 1396839 1465536 1479006 1493280 1551744 1643340 1648728 1752896 1791936 1831920 1862452 1939680 1972008 1991040 2060910 2191120 2198304 2239920 2328065 2442560 2465010 2586240 2629344 2747880 2793678 2931072 2958012 2986560 3286680 3297456 3505792 3583872 3663840 3697515 3724904 3879360 3944016 4121820 4190517 4382240 4396608 4479840 4656130 4885120 4930020 5039297 5258688 5495760 5587356 5916024 5973120 6573360 6594912 6984195 7327680 7395030 7449808 7758720 7888032 8243640 8381034 8764480 8793216 8959680 9312260 9860040 10078594 10517376 10991520 11174712 11832048 12571551 13146720 13189824 13968390 14655360 14790060 14899616 15117891 15776064 16487280 16762068 17528960 17919360 18624520 19720080 20157188 20952585 21983040 22349424 23664096 25143102 25196485 26293440 26379648 27936780 29580120 29799232 30235782 31552128 32974560 33524136 37249040 39440160 40314376 41905170 43966080 44698848 45353673 47328192 50286204 50392970 52586880 55873560 59160240 59598464 60471564 62857755 65949120 67048272 74498080 75589455 78880320 80628752 83810340 85668049 89397696 90707346 94656384 100572408 100785940 111747120 118320480 120943128 125715510 131898240 134096544 136061019 148996160 151178910 157760640 161257504 167620680 171336098 178795392 181414692 201144816 201571880 223494240 226768365 236640960 241886256 251431020 257004147 268193088 272122038 297992320 302357820 307397117 322515008 335241360 342672196 362829384 402289632 403143760 428340245 446988480 453536730 473281920 483772512 502862040 514008294 536386176 544244076 604715640 614794234 645030016 670482720 680305095 685344392 725658768 771012441 804579264 806287520 856680490 893976960 907073460 922191351 967545024 1005724080 1028016588 1088488152 1209431280 1229588468 1285020735 1340965440 1360610190 1370688784 1451317536 1536985585 1542024882 1609158528 1612575040 1713360980 1814146920 1844382702 1935090048 2011448160 2056033176 2176976304 2262644353 2313037323 2418862560 2459176936 2570041470 2681930880 2721220380 2741377568 2766574053 2902635072 3073971170 3084049764 3225150080 3426721960 3628293840 3688765404 3855062205 4022896320 4112066352 4353952608 4525288706 4610956755 4626074646 4837725120 4918353872 5140082940 5225750989 5442440760 5482755136 5533148106 5805270144 6147942340 6168099528 6787933059 6853443920 7256587680 7377530808 7710124410 8045792640 8224132704 8299722159 8707905216 9050577412 9221913510 9252149292 9675450240 9836707744 10280165880 10451501978 10884881520 10965510272 11066296212 11313221765 11565186615 12295884680 12336199056 13575866118 13706887840 13832870265 14513175360 14755061616 15420248820 15677252967 16448265408 16599444318 17415810432 18101154824 18443827020 18504298584 19673415488 20363799177 20560331760 20903003956 21769763040 22132592424 22626443530 23130373230 24591769360 24672398112 26128754945 27151732236 27413775680 27665740530 29026350720 29510123232 30840497640 31354505934 32896530816 33198888636 33939665295 36202309648 36887654040 37008597168 38464954001 39346830976 40727598354 41120663520 41498610795 41806007912 43539526080 44265184848 45252887060 46260746460 47031758901 49183538720 49344796224 52257509890 54303464472 54827551360 55331481060 59020246464 61091397531 61680995280 62709011868 66397777272 67879330590 72404619296 73775308080 74017194336 76929908002 78386264835 81455196708 82241327040 82997221590 83612015824 87079052160 88530369696 90505774120 92521492920 94063517802 98367077440 98689592448 101818995885 104515019780 108606928944 110662962120 115394862003 118040492928 122182795062 123361990560 125418023736 132795554544 135758661180 138021305533 141095276703 144809238592 147550616160 148034388672 153859816004 156772529670 162910393416 164482654080 165994443180 167224031648 177060739392 181011548240 185042985840 188127035604 192324770005 196734154880 203637991770 209030039560 217213857888 221325924240 230789724006 235158794505 244365590124 246723981120 250836047472 265591109088 271517322360 276042611066 282190553406 289618477184 295101232320 296068777344 305456987655 307719632008 313545059340 325820786832 331988886360 334448063296 346184586009 354121478784 362023096480 370085971680 376254071208 384649540010 407275983540 414063916599 418060079120 434427715776 442651848480 461579448012 470317589010 488731180248 493447962240 501672094944 531182218176 543034644720 552085222132 564381106812 576974310015 590202464640 610913975310 615439264016 627090118680 651641573664 663977772720 668896126592 690106527665 692369172018 705476383515 724046192960 740171943360 752508142416 769299080020 814551967080 828127833198 836120158240 868855431552 885303696960 923158896024 940635178020 977462360496 1003344189888 1038553758027 1062364436352 1086069289440 1104170444264 1128762213624 1153948620030 1221827950620 1230878528032 1242191749797 1254180237360 1303283147328 1327955545440 1380213055330 1384738344036 1410952767030 1448092385920 1480343886720 1505016284832 1538598160040 1629103934160 1656255666396 1672240316480 1730922930045 1770607393920 1846317792048 1881270356040 1954924720992 2006688379776 2070319582995 2077107516054 2172138578880 2208340888528 2257524427248 2307897240060 2346362194061 2443655901240 2461757056064 2484383499594 2508360474720 2606566294656 2655911090880 2760426110660 2769476688072 2821905534060 3010032569664 3077196320080 3258207868320 3312511332792 3344480632960 3461845860090 3692635584096 3726575249391 3762540712080 3909849441984 4140639165990 4154215032108 4344277157760 4416681777056 4515048854496 4615794480120 4692724388122 4887311802480 4923514112128 4968766999188 5016720949440 5192768790135 5311822181760 5520852221320 5538953376144 5643811068120 6020065139328 6154392640160 6210958748985 6516415736640 6625022665584 6923691720180 7039086582183 7385271168192 7453150498782 7525081424160 7819698883968 8281278331980 8308430064216 8833363554112 9030097708992 9231588960240 9385448776244 9774623604960 9937533998376 10033441898880 10385537580270 11041704442640 11077906752288 11287622136240 11731810970305 12308785280320 12421917497970 13032831473280 13250045331168 13847383440360 14078173164366 14770542336384 14906300997564 15050162848320 16562556663960 16616860128432 17666727108224 18060195417984 18463177920480 18632876246955 18770897552488 19549247209920 19875067996752 20771075160540 21117259746549 22083408885280 22155813504576 22575244272480 23463621940610 24617570560640 24843834995940 26500090662336 27694766880720 28156346328732 29812601995128 30100325696640 33125113327920 33233720256864 35195432910915 36926355840960 37265752493910 37541795104976 39098494419840 39750135993504 41542150321080 42234519493098 44166817770560 44311627009152 45150488544960 46927243881220 49687669991880 53000181324672 55389533761440 56312692657464 59625203990256 63351779239647 66250226655840 66467440513728 70390865821830 73852711681920 74531504987820 75083590209952 79500271987008 83084300642160 84469038986196 88333635541120 90300977089920 93854487762440 99375339983760 105586298732745 110779067522880 112625385314928 119250407980512 126703558479294 132500453311680 132934881027456 140781731643660 149063009975640 150167180419904 159000543974016 166168601284320 168938077972392 187708975524880 198750679967520 211172597465490 221558135045760 225250770629856 238500815961024 253407116958588 265000906623360 281563463287320 298126019951280 300334360839808 316758896198235 332337202568640 337876155944784 375417951049760 397501359935040 422345194930980 450501541259712 477001631922048 506814233917176 563126926574640 596252039902560 633517792396470 664674405137280 675752311889568 750835902099520 795002719870080 844690389861960 901003082519424 1013628467834352 1126253853149280 1192504079805120 1267035584792940 1351504623779136 1501671804199040 1689380779723920 2027256935668704 2252507706298560 2385008159610240 2534071169585880 2703009247558272 3378761559447840 4054513871337408 4505015412597120 5068142339171760 6757523118895680 8109027742674816 10136284678343520 13515046237791360 20272569356687040 40545138713374080
- Sum of all divisors σ(n): 154881009882720000
- Sum of proper divisors (its aliquot sum) s(n): 114335871169345920
- 40545138713374080 is an abundant number, because the sum of its proper divisors (114335871169345920) is greater than itself. Its abundance is 73790732455971840
Bases of 40545138713374080
- Binary: 100100000000101110010110101111100110000100101101100000002
- Hexadecimal: 0x900B96BE612D80
- Base-36: B381VL5HEO0
Squares and roots of 40545138713374080
- 40545138713374080 squared (405451387133740802) is 1643908273286745547348658015846400
- 40545138713374080 cubed (405451387133740803) is 66652488972474363848457554401243826092251021312000
-
The
square root of 40545138713374080 is 201358234.7791469889 -
The
cube root of 40545138713374080 is 343541.8079353699
Scales and comparisons
How big is 40545138713374080?- 40,545,138,713,374,080 seconds is equal to 1,289,209,996 years, 38 weeks, 2 days, 4 hours, 48 minutes.
-
To count from 1 to 40,545,138,713,374,080 would take you about three billion, eight hundred sixty-seven million, six hundred twenty-nine thousand, nine hundred ninety 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 40545138713374080 cubic inches would be around 28628.5 feet tall.
Recreational maths with 40545138713374080
- 40545138713374080 backwards is 08047331783154504
- The number of decimal digits it has is: 17
- The sum of 40545138713374080's digits is 63
- More coming soon!
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The information we have on file for 40545138713374080 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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