40645993612224

Names of 40645993612224

• Cardinal: 40645993612224 can be written as Forty trillion, six hundred forty-five billion, nine hundred ninety-three million, six hundred twelve thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.0645993612224 × 10¹³

Factors of 40645993612224

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 141031

Divisors of 40645993612224

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 38 39 42 44 48 52 56 57 64 66 76 77 78 79 84 88 91 96 104 112 114 132 133 143 152 154 156 158 168 176 182 192 208 209 224 228 231 237 247 264 266 273 286 304 308 312 316 336 352 364 399 416 418 429 448 456 462 474 494 528 532 546 553 572 608 616 624 627 632 672 704 728 741 798 832 836 858 869 912 924 948 988 1001 1027 1056 1064 1092 1106 1144 1216 1232 1248 1254 1264 1344 1456 1463 1482 1501 1596 1659 1672 1716 1729 1738 1824 1848 1896 1976 2002 2054 2112 2128 2184 2212 2288 2464 2496 2508 2528 2607 2717 2912 2926 2964 3002 3003 3081 3192 3318 3344 3432 3458 3476 3648 3696 3792 3952 4004 4108 4256 4368 4389 4424 4503 4576 4928 5016 5056 5187 5214 5434 5824 5852 5928 6004 6006 6083 6162 6384 6636 6688 6864 6916 6952 7189 7392 7584 7904 8008 8151 8216 8512 8736 8778 8848 9006 9152 10032 10374 10428 10507 10868 11297 11704 11856 12008 12012 12166 12324 12768 13272 13376 13728 13832 13904 14378 14784 15168 15808 16016 16302 16432 16511 17472 17556 17696 18012 18249 19019 19513 20064 20748 20856 21014 21567 21736 22594 23408 23712 24016 24024 24332 24648 25536 26544 27456 27664 27808 28756 31521 32032 32604 32864 33022 33891 35112 35392 36024 36498 38038 39026 40128 41496 41712 42028 43134 43472 45188 46816 47424 48032 48048 48664 49296 49533 53088 55328 55616 57057 57512 58539 63042 64064 65208 65728 66044 67782 70224 72048 72996 76076 78052 79079 82992 83424 84056 86268 86944 90376 93632 96064 96096 97328 98592 99066 106176 110656 114114 115024 115577 117078 126084 130416 132088 135564 136591 140448 140897 144096 145992 152152 156104 158158 165984 166848 168112 172536 173888 180752 192192 194656 197184 198132 214643 228228 230048 231154 234156 237237 252168 260832 264176 271128 273182 280896 281794 288192 291984 304304 312208 316316 331968 336224 345072 346731 361504 389312 396264 409773 422691 429286 456456 460096 462308 468312 474474 504336 521664 528352 542256 546364 563588 583968 608608 624416 632632 643929 672448 690144 693462 723008 792528 819546 845382 858572 912912 924616 936624 948948 986279 1008672 1056704 1084512 1092728 1127176 1167936 1217216 1248832 1265264 1287858 1380288 1386924 1502501 1549867 1585056 1639092 1690764 1717144 1825824 1831661 1849232 1873248 1897896 1972558 2017344 2169024 2185456 2254352 2530528 2575716 2677043 2773848 2958837 3005002 3099734 3170112 3278184 3381528 3434288 3651648 3663322 3698464 3746496 3795792 3945116 4370912 4507503 4508704 4649601 5061056 5151432 5354086 5494983 5547696 5917674 6010004 6199468 6556368 6763056 6868576 7326644 7396928 7591584 7890232 8031129 8741824 9015006 9017408 9299202 10302864 10708172 10849069 10989966 11095392 11130863 11835348 12020008 12398936 12821627 13112736 13526112 13737152 14653288 15183168 15780464 16062258 18030012 18598404 18739301 20148271 20605728 21416344 21698138 21979932 22190784 22261726 23670696 24040016 24797872 25643254 26225472 27052224 29306576 29447473 31560928 32124516 32547207 33392589 34801559 36060024 37196808 37478602 38464881 40296542 41211456 42832688 43396276 43959864 44523452 47341392 48080032 49595744 51286508 56217903 58613152 58894946 60444813 63121856 64249032 65094414 66785178 69603118 72120048 74393616 74957204 76929762 77916041 80593084 85665376 86792552 87919728 88342419 89046904 94682784 96160064 99191488 102573016 104404677 112435806 117226304 117789892 120889626 122439493 128498064 130188828 133570356 139206236 141037897 144240096 144701219 148787232 149914408 153859524 155832082 161186168 171330752 173585104 175839456 176684838 178093808 189365568 205146032 206132311 208809354 211486397 224871612 233748123 235579784 241779252 243610913 244878986 256996128 260377656 267140712 278412472 282075794 288480192 289402438 297574464 299828816 307719048 311664164 322372336 347170208 351678912 353369676 356187616 367318479 382817149 410292064 412264622 417618708 422972794 423113691 434103657 449743224 467496246 471159568 483558504 487221826 489757972 513992256 520755312 534281424 556824944 564151588 578804876 599657632 615438096 618396933 623328328 634459191 644744672 694340416 706739352 712375232 730832739 734636958 765634298 820584128 824529244 835237416 845945588 846227382 857076451 868207314 899486448 934992492 942319136 967117008 974443652 979515944 1012908533 1041510624 1068562848 1113649888 1128303176 1148451447 1157609752 1199315264 1230876192 1236793866 1246656656 1268918382 1289489344 1413478704 1461665478 1469273916 1480404779 1531268596 1591713409 1649058488 1670474832 1691891176 1692454764 1714152902 1736414628 1798972896 1869984984 1884638272 1934234016 1948887304 1959031888 2025817066 2083021248 2137125696 2227299776 2256606352 2296902894 2315219504 2326350367 2461752384 2473587732 2493313312 2537836764 2571229353 2679720043 2749323161 2826957408 2923330956 2938547832 2960809558 3038725599 3062537192 3183426818 3298116976 3340949664 3383782352 3384909528 3428305804 3472829256 3597945792 3739969968 3868468032 3897774608 3918063776 4051634132 4441214337 4513212704 4593805788 4630439008 4652700734 4775140227 4947175464 4986626624 5075673528 5142458706 5359440086 5498646322 5653914816 5846661912 5877095664 5921619116 6077451198 6125074384 6366853636 6596233952 6681899328 6767564704 6769819056 6856611608 6945658512 6979051101 7479939936 7795549216 7836127552 8039160129 8103268264 8247969483 8882428674 9026425408 9187611576 9260878016 9305401468 9550280454 9894350928 10151347056 10284917412 10718880172 10997292644 11141993863 11693323824 11754191328 11843238232 12154902396 12250148768 12733707272 13192467904 13535129408 13539638112 13713223216 13891317024 13958102202 14959879872 15591098432 16078320258 16206536528 16284452569 16495938966 17764857348 18375223152 18610802936 19100560908 19245262127 19788701856 20302694112 20569834824 21437760344 21994585288 22283987726 23386647648 23508382656 23686476464 24309804792 24500297536 25467414544 27079276224 27426446432 27782634048 27916204404 30242554771 32156640516 32413073056 32568905138 32991877932 33425981589 35529714696 36750446304 37221605872 38201121816 38490524254 39577403712 40605388224 41139669648 42875520688 43989170576 44567975452 46773295296 47372952928 48619609584 48853357707 50934829088 54852892864 55832408808 57735786381 60485109542 64313281032 64826146112 65137810276 65983755864 66851963178 71059429392 73500892608 74443211744 76402243632 76981048508 82279339296 85751041376 87978341152 89135950904 90727664313 94745905856 97239219168 97706715414 101869658176 111664817616 115471572762 120970219084 128626562064 130275620552 131967511728 133703926356 142118858784 148886423488 152804487264 153962097016 164558678592 171502082752 175956682304 178271901808 181455328626 194478438336 195413430828 211697883397 223329635232 230943145524 241940438168 257253124128 260551241104 263935023456 267407852712 284237717568 305608974528 307924194032 356543803616 362910657252 390826861656 423395766794 446659270464 461886291048 483880876336 514506248256 521102482208 527870046912 534815705424 615848388064 635093650191 713087607232 725821314504 781653723312 846791533588 923772582096 967761752672 1042204964416 1069631410848 1231696776128 1270187300382 1451642629008 1563307446624 1693583067176 1847545164192 1935523505344 2139262821696 2540374600764 2903285258016 3126614893248 3387166134352 3695090328384 5080749201528 5806570516032 6774332268704 10161498403056 13548664537408 20322996806112 40645993612224
• Sum of all divisors σ(n): 153917426073600
• Sum of proper divisors (its aliquot sum) s(n): 113271432461376
• 40645993612224 is an abundant number, because the sum of its proper divisors (113271432461376) is greater than itself. Its abundance is 72625438849152

Bases of 40645993612224

• Binary: 1001001111011110100010000000101100001111000000₂
• Hexadecimal: 0x24F7A202C3C0
• Base-36: EEOIF5C5C

Squares and roots of 40645993612224

• 40645993612224 squared (40645993612224²) is 1652096796724954211682226176
• 40645993612224 cubed (40645993612224³) is 67151115846458221091494650667052006375424
• The square root of 40645993612224 is 6375421.0537206089
• The cube root of 40645993612224 is 34382.6422289349

Scales and comparisons

• 40,645,993,612,224 seconds is equal to 1,292,416 years, 45 weeks, 1 day, 21 hours, 10 minutes, 24 seconds.
• To count from 1 to 40,645,993,612,224 would take you about three million, two hundred thirty-one thousand and forty-two 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 40645993612224 cubic inches would be around 2865.2 feet tall.

Recreational maths with 40645993612224

• 40645993612224 backwards is 42221639954604
• 40645993612224 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40645993612224's digits is 57
• More coming soon!