40168970234408640

Names of 40168970234408640

• Cardinal: 40168970234408640 can be written as Forty quadrillion, one hundred sixty-eight trillion, nine hundred seventy billion, two hundred thirty-four million, four hundred eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.016897023440864 × 10¹⁶

Factors of 40168970234408640

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 84387

Divisors of 40168970234408640

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 197 205 240 241 246 257 320 328 394 410 480 482 492 514 591 615 656 723 771 788 820 960 964 984 985 1028 1182 1205 1230 1285 1312 1446 1542 1576 1640 1928 1968 1970 2056 2364 2410 2460 2570 2624 2892 2955 3084 3152 3280 3615 3855 3856 3936 3940 4112 4728 4820 4920 5140 5784 5910 6168 6304 6560 7230 7710 7712 7872 7880 8077 8224 9456 9640 9840 9881 10280 10537 11568 11820 12336 12608 13120 14460 15420 15424 15760 16154 16448 18912 19280 19680 19762 20560 21074 23136 23640 24231 24672 28920 29643 30840 31520 31611 32308 37824 38560 39360 39524 40385 41120 42148 46272 47280 47477 48462 49344 49405 50629 52685 57840 59286 61680 61937 63040 63222 64616 77120 79048 80770 82240 83641 84296 94560 94954 96924 98810 101258 105370 115680 118572 121155 123360 123874 126444 129232 142431 148215 151887 158055 158096 161540 167282 168592 185811 189120 189908 193848 197620 202516 210740 231360 237144 237385 242310 246720 247748 250923 252888 253145 258464 284862 296430 303774 309685 316110 316192 323080 334564 337184 371622 379816 387696 395240 405032 418205 421480 474288 474770 484620 495496 501846 505776 506290 516928 569724 592860 607548 619370 632220 632384 646160 669128 674368 712155 743244 759435 759632 775392 790480 810064 836410 842960 929055 948576 949540 969240 990992 1003692 1011552 1012580 1139448 1185720 1215096 1238740 1254615 1264440 1292320 1338256 1424310 1486488 1518870 1519264 1550784 1580960 1620128 1672820 1685920 1858110 1897152 1899080 1938480 1946557 1981984 2007384 2023104 2025160 2075789 2278896 2371440 2430192 2477480 2509230 2528880 2539417 2584640 2676512 2848620 2972976 3037740 3038528 3161920 3240256 3345640 3371840 3429281 3716220 3798160 3876960 3893114 3963968 4014768 4050320 4151578 4557792 4742880 4860384 4954960 5018460 5057760 5078834 5353024 5697240 5839671 5945952 6075480 6227367 6691280 6858562 7432440 7596320 7618251 7753920 7786228 8029536 8100640 8303156 9115584 9485760 9720768 9732785 9909920 10036920 10115520 10157668 10287843 10378945 11394480 11679342 11891904 12150960 12201589 12454734 12697085 13382560 13717124 14864880 15192640 15236502 15572456 16059072 16201280 16477277 16606312 17146405 19465570 19819840 20073840 20157481 20315336 20575686 20757890 21495737 22788960 23358684 24301920 24403178 24909468 25394170 26765120 27434248 29198355 29729760 30473004 31136835 31144912 32954554 33212624 34292810 36604767 38091255 38931140 40147680 40314962 40630672 41151372 41515780 42991474 45577920 46717368 48603840 48806356 49431831 49818936 50788340 51439215 54868496 58396710 59459520 60472443 60946008 61007945 62273670 62289824 64487211 65909108 66425248 68585620 73209534 76182510 77862280 80295360 80629924 81261344 82302744 82386385 83031560 85982948 93434736 97612712 98863662 99637872 100787405 101576680 102878430 107478685 109736992 116793420 120944886 121892016 122015890 124547340 124579648 128974422 131818216 132850496 137171240 146419068 152365020 155724560 161259848 162522688 164605488 164772770 166063120 171965896 183023835 186869472 195225424 197727324 199275744 201574810 203153360 205756860 214957370 219473984 233586840 241889772 243784032 244031780 247159155 249094680 257948844 263636432 274342480 292838136 302362215 304730040 311449120 322436055 322519696 329210976 329545540 332126240 343931792 366047670 373738944 390450848 395454648 398551488 403149620 406306720 411513720 429914740 467173680 483779544 487568064 488063560 494318310 498189360 500265149 515897688 527272864 548684960 585676272 604724430 609460080 622898240 644872110 645039392 658421952 659091080 664252480 675568357 687863584 732095340 780901696 790909296 806299240 812613440 823027440 826456721 859829480 881325217 934347360 967559088 976127120 988636620 996378720 1000530298 1031795376 1054545728 1097369920 1171352544 1209448860 1218920160 1289744220 1290078784 1318182160 1351136714 1375727168 1464190680 1500795447 1581818592 1612598480 1646054880 1652913442 1719658960 1762650434 1868694720 1935118176 1952254240 1977273240 1992757440 2001060596 2026705071 2063590752 2342705088 2418897720 2437840320 2479370163 2501325745 2579488440 2636364320 2643975651 2702273428 2928381360 3001590894 3163637184 3225196960 3292109760 3305826884 3377841785 3439317920 3525300868 3870236352 3904508480 3954546480 3971023757 4002121192 4053410142 4127181504 4132283605 4234660189 4406626085 4837795440 4958740326 5002651490 5158976880 5180472617 5272728640 5287951302 5404546856 5856762720 6003181788 6450393920 6611653768 6755683570 6878635840 7050601736 7503977235 7909092960 7942047514 8004242384 8106820284 8264567210 8469320378 8813252170 9675590880 9917480652 10005302980 10133525355 10317953760 10360945234 10575902604 10809093712 11713525440 11913071271 12006363576 12396850815 12703980567 13219878255 13223307536 13511367140 14101203472 15007954470 15541417851 15818185920 15884095028 16008484768 16213640568 16529134420 16938640756 17626504340 19351181760 19834961304 19855118785 20010605960 20267050710 20635907520 20721890468 21151805208 21173300945 21618187424 23826142542 24012727152 24793701630 25407961134 25902363085 26439756510 26446615072 27022734280 28202406944 30015908940 31082835702 31768190056 32016969536 32427281136 33058268840 33877281512 35253008680 39669922608 39710237570 40021211920 40534101420 41443780936 42303610416 42346601890 43236374848 47652285084 48025454304 49587403260 50815922268 51804726170 52879513020 52893230144 54045468560 56404813888 59565356355 60031817880 62165671404 63519902835 63536380112 64854562272 66116537680 67754563024 70506017360 77707089255 79339845216 79420475140 80042423840 81068202840 82887561872 84607220832 84693203780 95304570168 96050908608 99174806520 101631844536 103609452340 105759026040 108090937120 119130712710 120063635760 124331342808 127039805670 127072760224 129709124544 132233075360 135509126048 141012034720 155414178510 158679690432 158840950280 160084847680 162136405680 162811974037 165775123744 169214441664 169386407560 173621067749 190609140336 198349613040 203263689072 207218904680 211518052080 212399377297 216181874240 238261425420 240127271520 248662685616 254079611340 254145520448 264466150720 271018252096 282024069440 310828357020 317681900560 324272811360 325623948074 331550247488 338772815120 347242135498 381218280672 396699226080 406527378144 414437809360 423036104160 424798754594 476522850840 480254543040 488435922111 497325371232 508159222680 520863203247 621656714040 635363801120 637198131891 648545622720 651247896148 677545630240 694484270996 762436561344 793398452160 813054756288 814059870185 828875618720 846072208320 849597509188 868105338745 953045701680 976871844222 994650742464 1016318445360 1020553105549 1041726406494 1061996886485 1243313428080 1270727602240 1274396263782 1302495792296 1355091260480 1388968541992 1628119740370 1657751237440 1699195018376 1736210677490 1906091403360 1953743688444 2032636890720 2041106211098 2083452812988 2123993772970 2442179610555 2486626856160 2548792527564 2604316016235 2604991584592 2777937083984 3061659316647 3185990659455 3256239480740 3398390036752 3472421354980 3812182806720 3907487376888 4065273781440 4082212422196 4166905625976 4247987545940 4884359221110 4973253712320 5097585055128 5102765527745 5208632032470 5209983169184 5555874167968 6123318633294 6371981318910 6512478961480 6796780073504 6944842709960 7814974753776 8164424844392 8333811251952 8495975091880 9768718442220 10195170110256 10205531055490 10417264064940 10419966338368 11111748335936 12246637266588 12743962637820 13024957922960 13593560147008 13889685419920 15308296583235 15629949507552 16328849688784 16667622503904 16991950183760 19537436884440 20390340220512 20411062110980 20834528129880 24493274533176 25487925275640 26049915845920 27779370839840 30616593166470 31259899015104 32657699377568 33335245007808 33983900367520 39074873768880 40780680441024 40822124221960 41669056259760 41842677327509 48986549066352 50975850551280 52099831691840 55558741679680 61233186332940 65315398755136 67967800735040 78149747537760 81644248443920 83338112519520 83685354655018 97973098132704 101951701102560 122466372665880 125528031982527 156299495075520 163288496887840 166676225039040 167370709310036 195946196265408 203903402205120 209213386637545 244932745331760 251056063965054 326576993775680 334741418620072 418426773275090 489865490663520 502112127930108 627640159912635 669482837240144 836853546550180 979730981327040 1004224255860216 1255280319825270 1338965674480288 1673707093100360 2008448511720432 2510560639650540 2677931348960576 3347414186200720 4016897023440864 5021121279301080 6694828372401440 8033794046881728 10042242558602160 13389656744802880 20084485117204320 40168970234408640
• Sum of all divisors σ(n): 132369803495145216
• Sum of proper divisors (its aliquot sum) s(n): 92200833260736576
• 40168970234408640 is an abundant number, because the sum of its proper divisors (92200833260736576) is greater than itself. Its abundance is 52031863026327936

Bases of 40168970234408640

• Binary: 10001110101101010111011100110001110100001010111011000000₂
• Hexadecimal: 0x8EB57731D0AEC0
• Base-36: AZIPM69HMTC

Squares and roots of 40168970234408640

• 40168970234408640 squared (40168970234408640²) is 1613546169692807310749010506649600
• 40168970234408640 cubed (40168970234408640³) is 64814488062234449296157860066025517121443692544000
• The square root of 40168970234408640 is 200421980.4173400537
• The cube root of 40168970234408640 is 342476.0712411337

Scales and comparisons

• 40,168,970,234,408,640 seconds is equal to 1,277,249,002 years, 34 weeks, 6 days, 7 hours, 44 minutes.
• To count from 1 to 40,168,970,234,408,640 would take you about three billion, eight hundred thirty-one million, seven hundred forty-seven thousand and eight 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 40168970234408640 cubic inches would be around 28539.7 feet tall.

Recreational maths with 40168970234408640

• 40168970234408640 backwards is 04680443207986104
• The number of decimal digits it has is: 17
• The sum of 40168970234408640's digits is 66
• More coming soon!