42814604793513600

Names of 42814604793513600

• Cardinal: 42814604793513600 can be written as Forty-two quadrillion, eight hundred fourteen trillion, six hundred four billion, seven hundred ninety-three million, five hundred thirteen thousand, six hundred.

Scientific notation

• Scientific notation: 4.28146047935136 × 10¹⁶

Factors of 42814604793513600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 224

Divisors of 42814604793513600

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 101 113 120 128 144 150 160 180 192 200 202 225 226 240 288 300 303 320 339 360 384 400 404 450 452 480 505 565 576 600 606 640 678 720 800 808 900 904 909 960 1010 1017 1130 1152 1200 1212 1356 1440 1515 1600 1616 1695 1800 1808 1818 1920 2020 2034 2260 2400 2424 2525 2712 2825 2880 3030 3200 3232 3390 3600 3616 3636 4040 4068 4520 4545 4800 4848 5050 5085 5424 5650 5760 6060 6464 6780 7200 7232 7272 7575 8080 8136 8475 9040 9090 9600 9696 10100 10170 10201 10848 11300 11413 12120 12769 12928 13560 14400 14464 14544 15150 16160 16272 16950 18080 18180 19392 20200 20340 20402 21696 22600 22725 22826 24240 25425 25538 27120 28800 29088 30300 30603 32320 32544 33900 34239 36160 36360 38307 38784 40400 40680 40804 43392 45200 45450 45652 48480 50850 51005 51076 54240 57065 58176 60600 61206 63845 64640 65088 67800 68478 72320 72720 76614 80800 81360 81608 90400 90900 91304 91809 96960 101700 102010 102152 102717 108480 114130 114921 116352 121200 122412 127690 130176 135600 136956 145440 153015 153228 161600 162720 163216 171195 180800 181800 182608 183618 191535 193920 203400 204020 204304 205434 216960 228260 229842 242400 244824 255025 255380 271200 273912 285325 290880 306030 306456 319225 323200 325440 326432 342390 361600 363600 365216 367236 383070 406800 408040 408608 410868 456520 459045 459684 484800 489648 510050 510760 513585 542400 547824 570650 574605 581760 612060 612912 638450 650880 652864 684780 727200 730432 734472 765075 766140 813600 816080 817216 821736 855975 913040 918090 919368 957675 969600 979296 1020100 1021520 1027170 1030301 1084800 1095648 1141300 1149210 1152713 1224120 1225824 1276900 1289669 1305728 1369560 1442897 1454400 1460864 1468944 1530150 1532280 1627200 1632160 1634432 1643472 1711950 1826080 1836180 1838736 1915350 1958592 2040200 2043040 2054340 2060602 2191296 2282600 2295225 2298420 2305426 2448240 2451648 2553800 2567925 2579338 2739120 2873025 2885794 2908800 2937888 3060300 3064560 3090903 3254400 3264320 3286944 3423900 3458139 3652160 3672360 3677472 3830700 3869007 3917184 4080400 4086080 4108680 4121204 4328691 4382592 4565200 4590450 4596840 4610852 4896480 4903296 5107600 5135850 5151505 5158676 5478240 5746050 5763565 5771588 5875776 6120600 6129120 6181806 6448345 6528640 6573888 6847800 6916278 7214485 7304320 7344720 7354944 7661400 7738014 8160800 8172160 8217360 8242408 8657382 9130400 9180900 9193680 9221704 9272709 9792960 10215200 10271700 10303010 10317352 10374417 10956480 11492100 11527130 11543176 11607021 11751552 12241200 12258240 12363612 12896690 12986073 13147776 13695600 13832556 14428970 14689440 14709888 15322800 15454515 15476028 16321600 16434720 16484816 17290695 17314764 18260800 18361800 18387360 18443408 18545418 19345035 19585920 20430400 20543400 20606020 20634704 20748834 21643455 21912960 22984200 23054260 23086352 23214042 24482400 24516480 24727224 25757525 25793380 25972146 27391200 27665112 28817825 28857940 29378880 30645600 30909030 30952056 32241725 32643200 32869440 32969632 34581390 34629528 36072425 36521600 36723600 36774720 36886816 37090836 38690070 40860800 41086800 41212040 41269408 41497668 43286910 45968400 46108520 46172704 46363545 46428084 48964800 49454448 51515050 51586760 51872085 51944292 54782400 55330224 57635650 57715880 58035105 58757760 61291200 61818060 61904112 64483450 64930365 65738880 65939264 69162780 69259056 72144850 73447200 73549440 73773632 74181672 77272575 77380140 82173600 82424080 82538816 82995336 86453475 86573820 91936800 92217040 92345408 92727090 92856168 96725175 97929600 98908896 103030100 103173520 103744170 103888584 108217275 109564800 110660448 115271300 115431760 116070210 116424013 122582400 123636120 123808224 128966900 129860730 130256569 131878528 138325560 138518112 144289700 145732597 146894400 147547264 148363344 154545150 154760280 164347200 164848160 165077632 165990672 172906950 173147640 183873600 184434080 184690816 185454180 185712336 193450350 197817792 206060200 206347040 207488340 207777168 216434550 221320896 230542600 230863520 231817725 232140420 232848026 247272240 247616448 257933800 259360425 259721460 260513138 276651120 277036224 288579400 290175525 291465194 293788800 296726688 309090300 309520560 324651825 328694400 329696320 331981344 345813900 346295280 349272039 367747200 368868160 370908360 371424672 386900700 390769707 395635584 412120400 412694080 414976680 415554336 432869100 437197791 442641792 461085200 461727040 463635450 464280840 465696052 494544480 495232896 515867600 518720850 519442920 521026276 553302240 554072448 577158800 580351050 582120065 582930388 593453376 618180600 619041120 649303650 651282845 659392640 663962688 691627800 692590560 698544078 728662985 737736320 741816720 742849344 773801400 781539414 824240800 825388160 829953360 831108672 865738200 874395582 922170400 923454080 927270900 928561680 931392104 989088960 1031735200 1037441700 1038885840 1042052552 1047816117 1106604480 1154317600 1160702100 1164240130 1165860776 1172309121 1186906752 1236361200 1238082240 1298607300 1302565690 1311593373 1327925376 1383255600 1385181120 1397088156 1457325970 1483633440 1485698688 1547602800 1563078828 1648481600 1659906720 1662217344 1731476400 1746360195 1748791164 1844340800 1854541800 1857123360 1862784208 1953848535 1978177920 2063470400 2074883400 2077771680 2084105104 2095632234 2185988955 2213208960 2308635200 2321404200 2328480260 2331721552 2344618242 2472722400 2476164480 2597214600 2605131380 2623186746 2766511200 2770362240 2794176312 2910600325 2914651940 2967266880 3095205600 3126157656 3256414225 3296963200 3319813440 3462952800 3492720390 3497582328 3643314925 3688681600 3709083600 3714246720 3725568416 3907697070 4126940800 4149766800 4155543360 4168210208 4191264468 4371977910 4617270400 4642808400 4656960520 4663443104 4689236484 4945444800 5194429200 5210262760 5239080585 5246373492 5533022400 5588352624 5821200650 5829303880 5861545605 5934533760 6190411200 6252315312 6512828450 6557966865 6639626880 6925905600 6985440780 6995164656 7286629850 7418167200 7428493440 7451136832 7815394140 8299533600 8311086720 8336420416 8382528936 8731800975 8743955820 9285616800 9313921040 9326886208 9378472968 9769242675 9890889600 10388858400 10420525520 10478161170 10492746984 10929944775 11066044800 11176705248 11642401300 11658607760 11723091210 12380822400 12504630624 13025656900 13115933730 13155913469 13851811200 13970881560 13990329312 14573259700 14718992297 14836334400 14902273664 15630788280 16599067200 16672840832 16765057872 17463601950 17487911640 18571233600 18627842080 18653772416 18756945936 19538485350 20777716800 20841051040 20956322340 20985493968 21859889550 22353410496 23284802600 23317215520 23446182420 25009261248 26051313800 26195402925 26231867460 26311826938 27941763120 27980658624 29146519400 29307728025 29437984594 29672668800 31261576560 32789834325 33198134400 33530115744 34927203900 34975823280 37142467200 37255684160 37513891872 39076970700 39467740407 41555433600 41682102080 41912644680 41970987936 43719779100 44156976891 44706820992 46569605200 46634431040 46892364840 50018522496 52102627600 52390805850 52463734920 52623653876 55883526240 55961317248 58293038800 58615456050 58875969188 62523153120 65579668650 65779567345 67060231488 69854407800 69951646560 73594961485 74511368320 75027783744 78153941400 78935480814 83364204160 83825289360 83941975872 87439558200 88313953782 93139210400 93268862080 93784729680 104205255200 104781611700 104927469840 105247307752 111767052480 116586077600 117230912100 117751938376 118403221221 125046306240 131159337300 131559134690 132470930673 134120462976 139708815600 139903293120 147189922970 150055567488 156307882800 157870961628 167650578720 167883951744 174879116400 176627907564 186278420800 187569459360 197338702035 208410510400 209563223400 209854939680 210494615504 220784884455 223534104960 233172155200 234461824200 235503876752 236806442442 250092612480 262318674600 263118269380 264941861346 279417631200 279806586240 294379845940 312615765600 315741923256 328897836725 335301157440 349758232800 353255815128 367974807425 372556841600 375138918720 394677404070 416821020800 419126446800 419709879360 420989231008 441569768910 466344310400 468923648400 471007753504 473612884884 524637349200 526236538760 529883722692 558835262400 588759691880 592016106105 625231531200 631483846512 657795673450 662354653365 670602314880 699516465600 706511630256 735949614850 750277837440 789354808140 838252893600 839419758720 841978462016 883139537820 937847296800 942015507008 947225769768 986693510175 1049274698400 1052473077520 1059767445384 1103924422275 1117670524800 1177519383760 1184032212210 1250463062400 1262967693024 1315591346900 1324709306730 1399032931200 1413023260512 1471899229700 1486618221997 1578709616280 1676505787200 1683956924032 1766279075640 1875694593600 1884031014016 1894451539536 1973387020350 2098549396800 2104946155040 2119534890768 2207848844550 2355038767520 2368064424420 2525935386048 2631182693800 2649418613460 2826046521024 2943798459400 2960080530525 2973236443994 3157419232560 3311773266825 3353011574400 3532558151280 3751389187200 3788903079072 3946774040700 4197098793600 4209892310080 4239069781536 4415697689100 4459854665991 4710077535040 4736128848840 5051870772096 5262365387600 5298837226920 5652093042048 5887596918800 5920161061050 5946472887988 6314838465120 6623546533650 7065116302560 7433091109985 7577806158144 7893548081400 8419784620160 8478139563072 8831395378200 8919709331982 9420155070080 9472257697680 10524730775200 10597674453840 11775193837600 11840322122100 11892945775976 12629676930240 13247093067300 13379563997973 14130232605120 14866182219970 15155612316288 15787096162800 16956279126144 17662790756400 17839418663964 18944515395360 21049461550400 21195348907680 22299273329955 23550387675200 23680644244200 23785891551952 25259353860480 26494186134600 26759127995946 28260465210240 29732364439940 31574192325600 35325581512800 35678837327928 37165455549925 37889030790720 42098923100800 42390697815360 44598546659910 47100775350400 47361288488400 47571783103904 52988372269200 53518255991892 59464728879880 63148384651200 66897819989865 70651163025600 71357674655856 74330911099850 75778061581440 84781395630720 89197093319820 94722576976800 95143566207808 105976744538400 107036511983784 111496366649775 118929457759760 126296769302400 133795639979730 141302326051200 142715349311712 148661822199700 178394186639640 189445153953600 190287132415616 211953489076800 214073023967568 222992733299550 237858915519520 267591279959460 285430698623424 297323644399400 334489099949325 356788373279280 378890307907200 423906978153600 428146047935136 445985466599100 475717831039040 535182559918920 570861397246848 594647288798800 668978199898650 713576746558560 856292095870272 891970933198200 951435662078080 1070365119837840 1189294577597600 1337956399797300 1427153493117120 1712584191740544 1783941866396400 2140730239675680 2378589155195200 2675912799594600 2854306986234240 3567883732792800 4281460479351360 4757178310390400 5351825599189200 7135767465585600 8562920958702720 10703651198378400 14271534931171200 21407302396756800 42814604793513600
• Sum of all divisors σ(n): 155677721319946800
• Sum of proper divisors (its aliquot sum) s(n): 112863116526433200
• 42814604793513600 is an abundant number, because the sum of its proper divisors (112863116526433200) is greater than itself. Its abundance is 70048511732919600

Bases of 42814604793513600

• Binary: 10011000000110111010011111111101111010101000011010000000₂
• Hexadecimal: 0x981BA7FDEA8680
• Base-36: BPKIDWTPY80

Squares and roots of 42814604793513600

• 42814604793513600 squared (42814604793513600²) is 1833090383624757734892633384960000
• 42814604793513600 cubed (42814604793513600³) is 78483040325684236450827640236741086619795456000000
• The square root of 42814604793513600 is 206916903.1121275989
• The cube root of 42814604793513600 is 349835.5820763049

Scales and comparisons

• 42,814,604,793,513,600 seconds is equal to 1,361,371,998 years, 8 weeks, 4 days, 8 hours.
• To count from 1 to 42,814,604,793,513,600 would take you about four billion, eighty-four million, one hundred fifteen thousand, nine hundred ninety-four 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 42814604793513600 cubic inches would be around 29153 feet tall.

Recreational maths with 42814604793513600

• 42814604793513600 backwards is 00631539740641824
• The number of decimal digits it has is: 17
• The sum of 42814604793513600's digits is 63
• More coming soon!