56438017126400

Names of 56438017126400

• Cardinal: 56438017126400 can be written as Fifty-six trillion, four hundred thirty-eight billion, seventeen million, one hundred twenty-six thousand, four hundred.

Scientific notation

• Scientific notation: 5.64380171264 × 10¹³

Factors of 56438017126400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 513

Divisors of 56438017126400

• Number of divisors d(n): 936
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 50 52 56 58 64 65 70 80 91 100 104 112 116 128 130 140 145 160 175 182 200 203 208 224 232 256 260 280 290 320 325 350 364 377 400 406 416 448 455 457 464 512 520 560 580 640 650 700 725 728 754 800 812 832 896 910 914 928 1015 1024 1040 1120 1160 1280 1300 1400 1450 1456 1508 1600 1624 1664 1792 1820 1828 1856 1885 2030 2048 2080 2240 2275 2285 2320 2560 2600 2639 2800 2900 2912 3016 3199 3200 3248 3328 3584 3640 3656 3712 3770 4060 4096 4160 4480 4550 4570 4640 5075 5120 5200 5278 5600 5800 5824 5941 6032 6398 6400 6496 6656 7168 7280 7312 7424 7540 8120 8320 8960 9100 9140 9280 9425 10150 10240 10400 10556 11200 11425 11600 11648 11882 12064 12796 12800 12992 13195 13253 13312 14336 14560 14624 14848 15080 15995 16240 16640 17920 18200 18280 18560 18850 20300 20480 20800 21112 22400 22850 23200 23296 23764 24128 25592 25600 25984 26390 26506 26624 28672 29120 29248 29696 29705 30160 31990 32480 33280 35840 36400 36560 37120 37700 40600 41587 41600 42224 44800 45700 46400 46592 47528 48256 51184 51200 51968 52780 53012 53248 58240 58496 59392 59410 60320 63980 64960 65975 66265 66560 71680 72800 73120 74240 75400 79975 81200 83174 83200 84448 89600 91400 92771 92800 93184 95056 96512 102368 102400 103936 105560 106024 116480 116992 118784 118820 120640 127960 129920 131950 132530 133120 143360 145600 146240 148480 148525 150800 159950 162400 166348 166400 168896 172289 179200 182800 185542 185600 186368 190112 193024 204736 207872 207935 208849 211120 212048 232960 233984 237640 241280 255920 259840 263900 265060 266240 291200 292480 296960 297050 301600 319900 324800 331325 332696 332800 337792 344578 358400 365600 371084 371200 372736 380224 386048 409472 415744 415870 417698 422240 424096 463855 465920 467968 475280 482560 511840 519680 527800 530120 582400 584960 593920 594100 603200 639800 649600 662650 665392 665600 675584 689156 716800 731200 742168 742400 760448 772096 818944 831488 831740 835396 844480 848192 861445 927710 931840 935936 950560 965120 1023680 1039360 1039675 1044245 1055600 1060240 1164800 1169920 1188200 1206023 1206400 1279600 1299200 1325300 1330784 1331200 1351168 1378312 1461943 1462400 1484336 1484800 1520896 1544192 1637888 1663480 1670792 1688960 1696384 1722890 1855420 1863680 1871872 1901120 1930240 2047360 2078720 2079350 2088490 2111200 2120480 2319275 2329600 2339840 2376400 2412046 2412800 2559200 2598400 2650600 2661568 2702336 2715037 2756624 2923886 2924800 2968672 2969600 3041792 3275776 3326960 3341584 3377920 3392768 3445780 3710840 3802240 3860480 4094720 4157440 4158700 4176980 4222400 4240960 4307225 4638550 4659200 4679680 4752800 4824092 4825600 5118400 5196800 5221225 5301200 5323136 5404672 5430074 5513248 5847772 5849600 5937344 6030115 6056621 6083584 6551552 6653920 6683168 6755840 6785536 6891560 7309715 7421680 7604480 7720960 8189440 8317400 8353960 8444800 8481920 8614450 9277100 9318400 9359360 9505600 9648184 9651200 10236800 10393600 10442450 10602400 10646272 10809344 10860148 11026496 11695544 11699200 11874688 12060230 12113242 12167168 13103104 13307840 13366336 13511680 13571072 13575185 13783120 14619430 14843360 15208960 16378880 16634800 16707920 16889600 16963840 17228900 18554200 19005259 19011200 19296368 19302400 20473600 20787200 20884900 21204800 21292544 21720296 22052992 23391088 23398400 23749376 24120460 24226484 24334336 26615680 26732672 27023360 27142144 27150370 27566240 29238860 29686720 30150575 30283105 30417920 32757760 33269600 33415840 33779200 33927680 34457800 36548575 37108400 38010518 38022400 38592736 38604800 40947200 41769800 42396347 42409600 42585088 43440592 44105984 46782176 46796800 47498752 48240920 48452968 53231360 53465344 54046720 54284288 54300740 55132480 58477720 59373440 60301150 60566210 60835840 65515520 66539200 66831680 67558400 67855360 67875925 68915600 73097150 74216800 76021036 76044800 77185472 78736073 81894400 83539600 84792694 84819200 85170176 86881184 88211968 93564352 94997504 95026295 96481840 96905936 106462720 106930688 108601480 110264960 116955440 118746880 120602300 121132420 121671680 133078400 133663360 135116800 135710720 135751850 137831200 146194300 148433600 151415525 152042072 152089600 154370944 157472146 163788800 167079200 169585388 169638400 170340352 173762368 176423936 187128704 189995008 190052590 192963680 193811872 211981735 212925440 213861376 217202960 220529920 233910880 237493760 241204600 242264840 266156800 267326720 270233600 271421440 271503700 275662400 292388600 296867200 302831050 304084144 304179200 308741888 314944292 327577600 334158400 339170776 339276800 347524736 352847872 374257408 379990016 380105180 385927360 387623744 393680365 423963470 425850880 427722752 434405920 441059840 467821760 474987520 475131475 482409200 484529680 532313600 534653440 543007400 551152511 551324800 584777200 593734400 605662100 608168288 608358400 617483776 629888584 668316800 678341552 678553600 695049472 705695744 748514816 760210360 771854720 775247488 787360730 847926940 851701760 855445504 868811840 882119680 935643520 949975040 950262950 964818400 969059360 1059908675 1064627200 1069306880 1086014800 1102305022 1102649600 1169554400 1187468800 1211324200 1216336576 1234967552 1259777168 1336633600 1356683104 1357107200 1390098944 1497029632 1520420720 1543709440 1550494976 1574721460 1695853880 1737623680 1764239360 1871287040 1899950080 1900525900 1929636800 1938118720 1968401825 2119817350 2129254400 2138613760 2172029600 2204610044 2205299200 2339108800 2374937600 2422648400 2432673152 2469935104 2519554336 2673267200 2713366208 2755762555 2780197888 2994059264 3040841440 3087418880 3100989952 3149442920 3391707760 3475247360 3528478720 3742574080 3801051800 3859273600 3876237440 3936803650 4239634700 4258508800 4277227520 4344059200 4409220088 4410598400 4678217600 4749875200 4845296800 4865346304 4939870208 5039108672 5346534400 5426732416 5511525110 5560395776 5988118528 6081682880 6174837760 6201979904 6298885840 6783415520 6950494720 7485148160 7602103600 7718547200 7752474880 7873607300 8479269400 8688118400 8818440176 8821196800 9356435200 9499750400 9690593600 9730692608 10078217344 10693068800 10853464832 11023050220 11120791552 12163365760 12349675520 12403959808 12597771680 13566831040 13778812775 13900989440 14970296320 15204207200 15437094400 15504949760 15747214600 16958538800 17376236800 17636880352 17642393600 18712870400 19381187200 19461385216 20156434688 21386137600 21706929664 22046100440 24326731520 24699351040 24807919616 25195543360 27133662080 27557625550 27801978880 29940592640 30408414400 30874188800 31009899520 31494429200 33917077600 34752473600 35273760704 37425740800 38762374400 38922770432 40312869376 43413859328 44092200880 48653463040 50391086720 54267324160 55115251100 55603957760 60816828800 61748377600 62019799040 62988858400 67834155200 69504947200 70547521408 74851481600 77524748800 77845540864 80625738752 86827718656 88184401760 97306926080 100782173440 108534648320 110230502200 121633657600 123496755200 124039598080 125977716800 135668310400 139009894400 141095042816 149702963200 155049497600 161251477504 173655437312 176368803520 194613852160 201564346880 217069296640 220461004400 243267315200 251955433600 271336620800 278019788800 282190085632 310098995200 322502955008 352737607040 389227704320 403128693760 434138593280 440922008800 486534630400 503910867200 542673241600 564380171264 620197990400 705475214080 806257387520 868277186560 881844017600 973069260800 1007821734400 1085346483200 1128760342528 1410950428160 1612514775040 1763688035200 1946138521600 2015643468800 2170692966400 2257520685056 2821900856320 3527376070400 4031286937600 4341385932800 5643801712640 7054752140800 8062573875200 11287603425280 14109504281600 28219008563200 56438017126400
• Sum of all divisors σ(n): 178575407629920
• Sum of proper divisors (its aliquot sum) s(n): 122137390503520
• 56438017126400 is an abundant number, because the sum of its proper divisors (122137390503520) is greater than itself. Its abundance is 65699373377120

Bases of 56438017126400

• Binary: 1100110101010001111111111101100111000000000000₂
• Hexadecimal: 0x33547FF67000
• Base-36: K079M7KZK

Squares and roots of 56438017126400

• 56438017126400 squared (56438017126400²) is 3185249777159819713576960000
• 56438017126400 cubed (56438017126400³) is 179769181475207688544792811084447744000000
• The square root of 56438017126400 is 7512524.0183576119
• The cube root of 56438017126400 is 38358.1143056669

Scales and comparisons

• 56,438,017,126,400 seconds is equal to 1,794,554 years, 19 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 56,438,017,126,400 would take you about four million, four hundred eighty-six thousand, three hundred eighty-five 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 56438017126400 cubic inches would be around 3196.5 feet tall.

Recreational maths with 56438017126400

• 56438017126400 backwards is 00462171083465
• The number of decimal digits it has is: 14
• The sum of 56438017126400's digits is 47
• More coming soon!