40434332073984

Names of 40434332073984

• Cardinal: 40434332073984 can be written as Forty trillion, four hundred thirty-four billion, three hundred thirty-two million, seventy-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 4.0434332073984 × 10¹³

Factors of 40434332073984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 53

Divisors of 40434332073984

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 29 32 36 38 48 54 57 58 64 72 76 81 87 96 108 114 116 128 144 152 162 171 174 192 216 228 232 243 256 261 288 304 324 342 348 384 432 456 464 486 512 513 522 551 576 608 648 684 696 729 768 783 864 912 928 972 1024 1026 1044 1102 1152 1216 1296 1368 1392 1458 1536 1539 1566 1653 1728 1824 1856 1944 2048 2052 2088 2187 2204 2304 2349 2432 2592 2736 2784 2916 3072 3078 3132 3306 3456 3648 3712 3888 4096 4104 4176 4374 4408 4608 4617 4698 4864 4959 5184 5472 5568 5832 6144 6156 6264 6612 6912 7047 7296 7424 7776 8192 8208 8352 8748 8816 9216 9234 9396 9728 9918 10368 10944 11136 11664 12288 12312 12528 13224 13824 13851 14094 14592 14848 14877 15552 16384 16416 16704 17496 17632 18432 18468 18792 19456 19836 20736 21141 21888 22272 23328 24576 24624 25056 26448 27648 27702 28188 29184 29696 29754 31104 32768 32832 33408 34992 35264 36864 36936 37584 38912 39672 41472 41553 42282 43776 44544 44631 46656 49152 49248 50112 52896 55296 55404 56376 58368 59392 59508 62208 63423 65536 65664 66816 69984 70528 73728 73872 75168 77824 79344 82944 83106 84564 87552 89088 89262 93312 98304 98496 100224 105792 110592 110808 112752 116736 118784 119016 124416 126846 131072 131328 133632 133893 139968 141056 147456 147744 150336 155648 158688 165888 166212 169128 175104 178176 178524 186624 196608 196992 200448 211584 221184 221616 225504 233472 237568 238032 248832 253692 262144 262656 267264 267786 279936 282112 294912 295488 300672 311296 317376 331776 332424 338256 350208 356352 357048 373248 393216 393984 400896 401679 423168 442368 443232 451008 466944 475136 476064 497664 507384 524288 525312 534528 535572 559872 564224 589824 590976 601344 622592 634752 663552 664848 676512 700416 712704 714096 746496 786432 787968 801792 803358 846336 884736 886464 902016 933888 950272 952128 995328 1014768 1048576 1050624 1069056 1071144 1119744 1128448 1179648 1181952 1202688 1205037 1245184 1269504 1327104 1329696 1353024 1400832 1425408 1428192 1492992 1572864 1575936 1603584 1606716 1692672 1769472 1772928 1804032 1867776 1900544 1904256 1990656 2029536 2097152 2101248 2138112 2142288 2239488 2256896 2359296 2363904 2405376 2410074 2490368 2539008 2654208 2659392 2706048 2801664 2850816 2856384 2985984 3145728 3151872 3207168 3213432 3385344 3538944 3545856 3608064 3735552 3801088 3808512 3981312 4059072 4194304 4202496 4276224 4284576 4478976 4513792 4718592 4727808 4810752 4820148 4980736 5078016 5308416 5318784 5412096 5603328 5701632 5712768 5971968 6291456 6303744 6414336 6426864 6770688 7077888 7091712 7216128 7471104 7602176 7617024 7962624 8118144 8388608 8404992 8552448 8569152 8957952 9027584 9437184 9455616 9621504 9640296 9961472 10156032 10616832 10637568 10824192 11206656 11403264 11425536 11943936 12582912 12607488 12828672 12853728 13541376 14155776 14183424 14432256 14942208 15204352 15234048 15925248 16236288 16777216 16809984 17104896 17138304 17915904 18055168 18874368 18911232 19243008 19280592 19922944 20312064 21233664 21275136 21648384 22413312 22806528 22851072 23887872 25165824 25214976 25657344 25707456 27082752 28311552 28366848 28864512 29884416 30408704 30468096 31850496 32472576 33554432 33619968 34209792 34276608 35831808 36110336 37748736 37822464 38486016 38561184 39845888 40624128 42467328 42550272 43296768 44826624 45613056 45702144 47775744 50331648 50429952 51314688 51414912 54165504 56623104 56733696 57729024 59768832 60817408 60936192 63700992 64945152 67239936 68419584 68553216 71663616 72220672 75497472 75644928 76972032 77122368 79691776 81248256 84934656 85100544 86593536 89653248 91226112 91404288 95551488 100663296 100859904 102629376 102829824 108331008 113246208 113467392 115458048 119537664 121634816 121872384 127401984 129890304 134479872 136839168 137106432 143327232 144441344 150994944 151289856 153944064 154244736 159383552 162496512 169869312 170201088 173187072 179306496 182452224 182808576 191102976 201719808 205258752 205659648 216662016 226492416 226934784 230916096 239075328 243269632 243744768 254803968 259780608 268959744 273678336 274212864 286654464 288882688 301989888 302579712 307888128 308489472 318767104 324993024 339738624 340402176 346374144 358612992 364904448 365617152 382205952 403439616 410517504 411319296 433324032 452984832 453869568 461832192 478150656 486539264 487489536 509607936 519561216 537919488 547356672 548425728 573308928 577765376 605159424 615776256 616978944 637534208 649986048 679477248 680804352 692748288 717225984 729808896 731234304 764411904 806879232 821035008 822638592 866648064 905969664 907739136 923664384 956301312 973078528 974979072 1019215872 1039122432 1075838976 1094713344 1096851456 1146617856 1155530752 1210318848 1231552512 1233957888 1299972096 1358954496 1361608704 1385496576 1434451968 1459617792 1462468608 1528823808 1613758464 1642070016 1645277184 1733296128 1815478272 1847328768 1912602624 1949958144 2038431744 2078244864 2151677952 2189426688 2193702912 2293235712 2311061504 2420637696 2463105024 2467915776 2599944192 2717908992 2723217408 2770993152 2868903936 2919235584 2924937216 3057647616 3227516928 3284140032 3290554368 3466592256 3630956544 3694657536 3899916288 4076863488 4156489728 4303355904 4378853376 4387405824 4586471424 4622123008 4841275392 4926210048 4935831552 5199888384 5446434816 5541986304 5737807872 5849874432 6115295232 6455033856 6568280064 6581108736 6933184512 7261913088 7389315072 7799832576 8153726976 8312979456 8606711808 8757706752 8774811648 9172942848 9244246016 9682550784 9852420096 9871663104 10399776768 10892869632 11083972608 11699748864 12230590464 12910067712 13136560128 13162217472 13866369024 14523826176 14778630144 15599665152 16625958912 17213423616 17549623296 18345885696 18488492032 19365101568 19704840192 19743326208 20799553536 21785739264 22167945216 23399497728 24461180928 25820135424 26273120256 26324434944 27732738048 29047652352 29557260288 31199330304 33251917824 35099246592 36691771392 38730203136 39409680384 39486652416 41599107072 43571478528 44335890432 46798995456 51640270848 52648869888 55465476096 58095304704 59114520576 62398660608 66503835648 70198493184 73383542784 77460406272 78819360768 78973304832 83198214144 87142957056 88671780864 93597990912 105297739776 116190609408 118229041152 124797321216 133007671296 140396986368 154920812544 157946609664 166396428288 174285914112 177343561728 187195981824 210595479552 232381218816 236458082304 249594642432 266015342592 280793972736 315893219328 348571828224 354687123456 374391963648 421190959104 464762437632 499189284864 532030685184 561587945472 631786438656 697143656448 709374246912 748783927296 842381918208 1064061370368 1123175890944 1263572877312 1394287312896 1497567854592 1684763836416 2128122740736 2246351781888 2527145754624 3369527672832 4492703563776 5054291509248 6739055345664 10108583018496 13478110691328 20217166036992 40434332073984
• Sum of all divisors σ(n): 132070242384000
• Sum of proper divisors (its aliquot sum) s(n): 91635910310016
• 40434332073984 is an abundant number, because the sum of its proper divisors (91635910310016) is greater than itself. Its abundance is 51201578236032

Bases of 40434332073984

• Binary: 1001001100011001011010000000000000000000000000₂
• Hexadecimal: 0x24C65A000000
• Base-36: EBZ9XC000

Squares and roots of 40434332073984

• 40434332073984 squared (40434332073984²) is 1634935210269211242849632256
• 40434332073984 cubed (40434332073984³) is 66107513211474143368071981308000184827904
• The square root of 40434332073984 is 6358799.5780637717
• The cube root of 40434332073984 is 34322.8564926467

Scales and comparisons

• 40,434,332,073,984 seconds is equal to 1,285,686 years, 35 weeks, 5 days, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 40,434,332,073,984 would take you about three million, two hundred fourteen thousand, two hundred sixteen 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 40434332073984 cubic inches would be around 2860.2 feet tall.

Recreational maths with 40434332073984

• 40434332073984 backwards is 48937023343404
• 40434332073984 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40434332073984's digits is 54
• More coming soon!