40214795975776000

Names of 40214795975776000

• Cardinal: 40214795975776000 can be written as Forty quadrillion, two hundred fourteen trillion, seven hundred ninety-five billion, nine hundred seventy-five million, seven hundred seventy-six thousand.

Scientific notation

• Scientific notation: 4.0214795975776 × 10¹⁶

Factors of 40214795975776000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3774

Divisors of 40214795975776000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 41 50 53 64 80 82 100 106 125 128 160 164 200 205 212 250 256 265 307 320 328 400 410 424 500 530 614 640 656 709 800 820 848 1000 1025 1060 1228 1280 1312 1325 1418 1535 1600 1640 1696 2000 2050 2120 2173 2456 2624 2650 2657 2836 3070 3200 3280 3392 3545 4000 4100 4240 4346 4912 5125 5248 5300 5314 5672 6140 6400 6560 6625 6784 7090 7675 8000 8200 8480 8692 9824 10250 10496 10600 10628 10865 11344 12280 12587 13120 13250 13285 13568 14180 15350 16000 16271 16400 16960 17384 17725 19648 20500 21200 21256 21730 22688 24560 25174 26240 26500 26570 28360 29069 30700 32000 32542 32800 33920 34768 35450 37577 38375 39296 41000 42400 42512 43460 45376 49120 50348 52480 53000 53140 54325 56720 58138 61400 62935 65084 65600 66425 67840 69536 70900 75154 76750 78592 81355 82000 84800 85024 86920 88625 90752 98240 100696 106000 106280 108650 108937 113440 116276 122800 125870 130168 131200 132850 139072 140821 141800 145345 150308 153500 162710 164000 169600 170048 173840 177250 181504 187885 196480 201392 212000 212560 217300 217663 217874 226880 232552 245600 251740 260336 262400 265700 271625 278144 281642 283600 290690 300616 307000 314675 325420 328000 332125 339200 340096 347680 354500 375770 392960 402784 406775 424000 425120 434600 435326 435748 453760 465104 491200 503480 520672 531400 543250 544685 556288 563284 567200 581380 601232 614000 629350 650840 656000 664250 667111 680192 695360 704105 709000 726725 751540 805568 813550 815699 848000 850240 869200 870652 871496 907520 930208 939425 982400 1006960 1041344 1062800 1086500 1088315 1089370 1126568 1134400 1162760 1202464 1228000 1258700 1301680 1312000 1328500 1334222 1390720 1408210 1418000 1453450 1503080 1540657 1573375 1611136 1627100 1631398 1696000 1700480 1738400 1741304 1742992 1860416 1878850 1883813 1964800 2013920 2033875 2082688 2125600 2173000 2176630 2178740 2253136 2268800 2325520 2404928 2456000 2517400 2603360 2657000 2668444 2723425 2781440 2816420 2836000 2906900 3006160 3081314 3146750 3222272 3254200 3262796 3335555 3400960 3476800 3482608 3485984 3520525 3633625 3720832 3757700 3767626 4027840 4067750 4078495 4165376 4251200 4346000 4353260 4357480 4506272 4537600 4651040 4697125 4809856 4912000 5034800 5206720 5314000 5336888 5441575 5446850 5632840 5672000 5773661 5813800 6012320 6162628 6293500 6508400 6525592 6671110 6953600 6965216 6971968 7041050 7267250 7441664 7515400 7535252 7703285 8055680 8135500 8156990 8502400 8692000 8706520 8714960 8924183 9012544 9302080 9394250 9419065 9619712 9824000 10069600 10413440 10628000 10673776 10883150 10893700 11265680 11344000 11536139 11547322 11627600 12024640 12325256 12587000 13016800 13051184 13342220 13617125 13907200 13930432 13943936 14082100 14534500 15030800 15070504 15406570 16111360 16271000 16313980 16677775 17004800 17384000 17413040 17429920 17602625 17848366 18025088 18604160 18788500 18838130 20139200 20392475 20826880 21256000 21347552 21766300 21787400 22531360 22688000 23072278 23094644 23255200 24049280 24650512 25174000 26033600 26102368 26684440 27207875 27234250 27860864 27887872 28164200 28868305 29069000 30061600 30141008 30813140 32542000 32627960 33355550 33443659 34768000 34826080 34859840 35205250 35696732 36050176 37208320 37577000 37676260 38516425 40278400 40784950 42512000 42695104 43232047 43532600 43574800 44620915 45062720 46144556 46189288 46510400 47095325 48098560 49301024 50348000 52067200 52204736 53368880 54415750 54468500 55721728 56328400 57680695 57736610 58138000 60123200 60282016 61626280 65084000 65255920 66711100 66887318 69536000 69652160 69719680 70410500 71393464 75154000 75352520 77032850 77236333 80556800 81569900 83388875 85024000 85390208 86464094 87065200 87149600 89241830 90125440 92289112 92378576 93020800 94190650 98602048 99842089 100696000 101962375 104134400 104409472 106737760 108831500 108937000 112656800 115361390 115473220 116276000 120246400 120564032 123252560 130168000 130511840 133422200 133774636 139304320 139439360 140821000 142786928 144341525 150308000 150705040 154065700 154472666 163139800 166777750 167218295 170780416 172928188 174130400 174299200 178483660 180250880 184578224 184757152 186041600 188381300 192582125 197204096 199684178 201392000 203924750 208818944 213475520 216160235 217663000 217874000 223104575 225313600 230722780 230946440 232552000 235476625 240492800 241128064 246505120 260336000 261023680 266844400 267549272 278608640 281642000 285573856 288403475 288683050 300616000 301410080 308131400 308945332 326279600 333555500 334436590 345856376 348260800 348598400 356967320 369156448 369514304 376762600 385164250 386181665 394408192 399368356 402784000 407849500 426951040 432320470 435326000 435748000 446209150 450627200 461445560 461892880 465104000 470953250 472981699 482256128 493010240 499210445 520672000 522047360 533688800 535098544 563284000 571147712 576806950 577366100 578330591 601232000 602820160 616262800 617890664 652559200 667111000 668873180 691712752 696521600 697196800 713934640 721707625 738312896 739028608 753525200 770328500 772363330 798736712 815699000 836091475 853902080 864640940 870652000 871496000 892418300 901254400 922891120 923785760 930208000 941906500 945963398 986020480 998420890 1044094720 1067377600 1070197088 1080801175 1115522875 1126568000 1142295424 1153613900 1154732200 1156661182 1202464000 1205640320 1232525600 1235781328 1305118400 1334222000 1337746360 1383425504 1393043200 1427869280 1442017375 1443415250 1476625792 1478057216 1507050400 1540657000 1544726660 1597473424 1631398000 1672182950 1729281880 1741304000 1742992000 1772513927 1784836600 1845782240 1847571520 1883813000 1891926796 1930908325 1972040960 1996841780 2134755200 2140394176 2161602350 2231045750 2253136000 2284590848 2307227800 2309464400 2313322364 2364908495 2411280640 2465051200 2471562656 2496052225 2610236800 2668444000 2675492720 2766851008 2855738560 2884034750 2886830500 2891652955 2953251584 3014100800 3081314000 3089453320 3194946848 3262796000 3344365900 3458563760 3482608000 3485984000 3545027854 3569673200 3691564480 3695143040 3767626000 3783853592 3861816650 3993683560 4093525649 4180457375 4269510400 4280788352 4323204700 4462091500 4506272000 4614455600 4618928800 4626644728 4729816990 4930102400 4943125312 4992104450 5220473600 5336888000 5350985440 5404005875 5533702016 5711477120 5768069500 5773661000 5783305910 6028201600 6162628000 6178906640 6389893696 6525592000 6688731800 6917127520 6965216000 7090055708 7139346400 7383128960 7390286080 7535252000 7567707184 7723633300 7987367120 8187051298 8360914750 8561576704 8646409400 8862569635 8924183000 9228911200 9237857600 9253289456 9459633980 9654541625 9860204800 9886250624 9984208900 10673776000 10701970880 10808011750 11067404032 11422954240 11536139000 11547322000 11566611820 11824542475 12056403200 12325256000 12357813280 12480261125 12779787392 13051184000 13377463600 13834255040 14180111416 14278692800 14458264775 14766257920 15070504000 15135414368 15447266600 15974734240 16374102596 16721829500 17292818800 17725139270 17848366000 18457822400 18475715200 18506578912 18919267960 19309083250 19772501248 19968417800 20467628245 21347552000 21403941760 21616023500 23072278000 23094644000 23133223640 23649084950 23711554231 24650512000 24715626560 24960522250 25559574784 26102368000 26754927200 27668510080 28360222832 28557385600 28916529550 30141008000 30270828736 30651521323 30894533200 31949468480 32748205192 33443659000 34585637600 35450278540 35696732000 36915644800 36951430400 37013157824 37838535920 38618166500 39936835600 40935256490 42807883520 43232047000 44312848175 46144556000 46189288000 46266447280 47298169900 47423108462 49301024000 49431253120 49921044500 53509854400 55337020160 56720445664 57114771200 57833059100 59122712375 60282016000 60541657472 61303042646 61789066400 63898936960 65496410384 66887318000 69171275200 70900557080 71393464000 72291323875 73831289600 74026315648 75677071840 77236333000 79873671200 81870512980 86464094000 88625696350 92289112000 92378576000 92532894560 94596339800 94846216924 98862506240 99842089000 102338141225 107019708800 113440891328 115666118200 118245424750 118557771155 121083314944 122606085292 123578132800 127797873920 130992820768 133774636000 138342550400 141801114160 142786928000 144582647750 148052631296 151354143680 153257606615 154472666000 159747342400 163741025960 172928188000 177251392700 184578224000 184757152000 185065789120 189192679600 189692433848 199684178000 204676282450 214039417600 221564240875 226881782656 231332236400 236490849500 237115542310 245212170584 247156265600 261985641536 267549272000 276685100800 283602228320 285573856000 289165295500 302708287360 306515213230 308945332000 319494684800 327482051920 345856376000 354502785400 369156448000 370131578240 378385359200 379384867696 399368356000 409352564900 443128481750 453763565312 462664472800 472981699000 474231084620 490424341168 494312531200 511690706125 523971283072 535098544000 567204456640 578330591000 592788855775 605416574720 613030426460 617890664000 638989369600 654964103840 691712752000 709005570800 740263156480 756770718400 758769735392 766288033075 798736712000 818705129800 886256963500 925328945600 945963398000 948462169240 980848682336 1023381412250 1047942566144 1070197088000 1134408913280 1156661182000 1185577711550 1226060852920 1235781328000 1256712374243 1309928207680 1383425504000 1418011141600 1513541436800 1517539470784 1532576066150 1597473424000 1637410259600 1772513927000 1850657891200 1891926796000 1896924338480 1961697364672 2046762824500 2268817826560 2313322364000 2371155423100 2452121705840 2471562656000 2513424748486 2619856415360 2836022283200 2963944278875 3027082873600 3035078941568 3065152132300 3194946848000 3274820519200 3545027854000 3701315782400 3783853592000 3793848676960 3831440165375 3923394729344 4093525649000 4626644728000 4742310846200 4904243411680 5026849496972 5239712830720 5672044566400 5927888557750 6070157883136 6130304264600 6283561871215 6549641038400 7090055708000 7567707184000 7587697353920 7662880330750 7846789458688 8187051298000 9253289456000 9484621692400 9808486823360 10053698993944 11344089132800 11855777115500 12260608529200 12567123742430 13099282076800 14180111416000 15135414368000 15175394707840 15325760661500 16374102596000 18506578912000 18969243384800 19616973646720 20107397987888 23711554231000 24521217058400 25134247484860 26198564153600 28360222832000 30350789415680 30651521323000 31417809356075 32748205192000 37938486769600 39233947293440 40214795975776 47423108462000 49042434116800 50268494969720 56720445664000 61303042646000 62835618712150 65496410384000 75876973539200 80429591951552 94846216924000 98084868233600 100536989939440 122606085292000 125671237424300 130992820768000 151753947078400 157089046780375 160859183903104 189692433848000 196169736467200 201073979878880 245212170584000 251342474848600 314178093560750 321718367806208 379384867696000 402147959757760 490424341168000 502684949697200 628356187121500 758769735392000 804295919515520 980848682336000 1005369899394400 1256712374243000 1608591839031040 2010739798788800 2513424748486000 4021479597577600 5026849496972000 8042959195155200 10053698993944000 20107397987888000 40214795975776000
• Sum of all divisors σ(n): 105087870246078720
• Sum of proper divisors (its aliquot sum) s(n): 64873074270302720
• 40214795975776000 is an abundant number, because the sum of its proper divisors (64873074270302720) is greater than itself. Its abundance is 24658278294526720

Bases of 40214795975776000

• Binary: 10001110110111110010010011010100110110011101011100000000₂
• Hexadecimal: 0x8EDF24D4D9D700
• Base-36: AZYYE88PPTS

Squares and roots of 40214795975776000

• 40214795975776000 squared (40214795975776000²) is 1617229815373289563978802176000000
• 40214795975776000 cubed (40214795975776000³) is 65036567071178728616733911434373592088576000000000
• The square root of 40214795975776000 is 200536270.9730486635
• The cube root of 40214795975776000 is 342606.2567669015

Scales and comparisons

• 40,214,795,975,776,000 seconds is equal to 1,278,706,119 years, 25 weeks, 6 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 40,214,795,975,776,000 would take you about three billion, eight hundred thirty-six million, one hundred eighteen thousand, three hundred fifty-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 40214795975776000 cubic inches would be around 28550.5 feet tall.

Recreational maths with 40214795975776000

• 40214795975776000 backwards is 00067757959741204
• The number of decimal digits it has is: 17
• The sum of 40214795975776000's digits is 73
• More coming soon!