46146401489608225

Names of 46146401489608225

• Cardinal: 46146401489608225 can be written as Forty-six quadrillion, one hundred forty-six trillion, four hundred one billion, four hundred eighty-nine million, six hundred eight thousand, two hundred twenty-five.

Scientific notation

• Scientific notation: 4.6146401489608225 × 10¹⁶

Factors of 46146401489608225

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 249

Divisors of 46146401489608225

• Number of divisors d(n): 405
• Complete list of divisors:
  1 5 13 19 25 31 65 95 155 169 181 247 325 361 403 475 589 775 845 905 961 1235 1805 2015 2353 2945 3211 3439 4225 4525 4693 4805 5239 5611 6175 7657 9025 10075 11191 11765 12493 14725 16055 17195 18259 23465 24025 26195 28055 29791 30589 32761 38285 44707 55955 58825 61009 62465 65341 72943 80275 85975 91295 99541 106609 117325 130975 140275 145483 148955 152945 162409 163805 173941 191425 223535 237367 279775 305045 312325 326705 346921 364715 387283 425893 456475 497705 533045 566029 581191 622459 727415 744775 764725 812045 819025 849433 869705 923521 948259 1015591 1117675 1186835 1385917 1525225 1633525 1734605 1823575 1891279 1936415 2025571 2129465 2261233 2488525 2665225 2830145 2905955 3085771 3112295 3304879 3637075 4060225 4247165 4348525 4509973 4617605 4741295 5034679 5077955 5392171 5536609 5934175 6929585 7358377 8091967 8673025 9456395 9682075 10127855 10647325 10754551 11042629 11306165 11826721 12005773 13202683 14150725 14529775 15428855 15561475 16524395 17546899 18016921 19296229 21235825 22549865 23088025 23706475 25173395 25389775 26332423 26960855 27683045 29396029 31483321 34647925 36791885 40459835 42963427 47281975 50639275 53772755 55213145 56530825 58629649 59133605 60028865 62792701 66013415 70098223 77144275 82621975 87734495 90084605 95658901 96481145 102451249 105195571 112749325 125866975 131662115 134804275 138415225 139809163 146980145 153747373 156075049 157416605 167157301 171634879 183959425 202299175 214817135 228109687 250850977 268863775 276065725 293148245 295668025 300144325 313963505 330067075 333391081 342321499 350491115 366628351 409283173 438672475 450423025 478294505 482405725 512256245 525977855 558524551 598183099 658310575 699045815 734900725 768736865 780375245 787083025 816305113 835786505 858174395 911276899 975982951 1074085675 1140548435 1254254885 1331866237 1465741225 1569817525 1666955405 1711607495 1752455575 1817519119 1833141755 1946573731 1998715849 2046415865 2173044913 2391472525 2561281225 2629889275 2792622755 2965425931 2990915495 3175988719 3261062701 3495229075 3843684325 3901876225 4081525565 4178932525 4290871975 4334084053 4556384495 4766168563 4879914755 5320681249 5702742175 6271274425 6659331185 7776380287 8334777025 8558037475 9087595595 9165708775 9732868655 9993579245 10232079325 10611966469 10865224565 11365478881 12687778363 13963113775 14827129655 14954577475 15879943595 16305313505 17314261081 18543676069 20407627825 21670420265 22781922475 23830842815 24399573775 25305458503 26603406245 28249583869 30255471481 33296655925 38881901435 41287853347 45437977975 48664343275 49967896225 53059832345 54326122825 56343092689 56827394405 60343785661 61960191319 63438891815 74135648275 79399717975 81526567525 86571305405 92718380345 101092943731 108352101325 119154214075 126527292515 133017031225 141247919345 147751225453 151277357405 164941118719 194409507175 206439266735 241067788897 265299161725 281715463445 284136972025 301718928305 309800956595 317194459075 328970960539 352329845311 393321129253 432856527025 463591901725 505464718655 536742093511 574853958139 632636462575 706239596725 738756127265 756386787025 784469213593 824705593595 1032196333675 1205338944485 1408577317225 1508594641525 1549004782975 1644854802695 1761649226555 1920765930889 1966605646265 2527323593275 2683710467555 2874269790695 3133881255661 3693780636325 3922346067965 4123527967975 4580287989043 5113174680289 6026694722425 7473101455807 8224274013475 8808246132775 9603829654445 9833028231325 10198099776709 10922225204641 13418552337775 14371348953475 15669406278305 19611730339825 22901439945215 25565873401445 37365507279035 48019148272225 50990498883545 54611126023205 59543743857559 78347031391525 97150318925491 114507199726075 127829367007225 141988927660333 186827536395175 254952494417725 273055630116025 297718719287795 485751594627455 709944638301665 1488593596438975 1845856059584329 2428757973137275 3549723191508325 9229280297921645 46146401489608225
• Sum of all divisors σ(n): 67949787795565995
• Sum of proper divisors (its aliquot sum) s(n): 21803386305957770
• 46146401489608225 is a deficient number, because the sum of its proper divisors (21803386305957770) is less than itself. Its deficiency is 24343015183650455

Bases of 46146401489608225

• Binary: 10100011111100011110100001011100011100110101111000100001₂
• Hexadecimal: 0xA3F1E85C735E21
• Base-36: CMDJ86M4TUP

Squares and roots of 46146401489608225

• 46146401489608225 squared (46146401489608225²) is 2129490370440116207212663987650625
• 46146401489608225 cubed (46146401489608225³) is 98268317602584149410412449659509401665669426390625
• 46146401489608225 is a perfect square number. Its square root is 214817135
• The cube root of 46146401489608225 is 358684.5030641843

Scales and comparisons

• 46,146,401,489,608,225 seconds is equal to 1,467,312,827 years, 9 weeks, 1 day, 16 hours, 30 minutes, 25 seconds.
• To count from 1 to 46,146,401,489,608,225 would take you about four billion, four hundred one million, nine hundred thirty-eight thousand, four hundred eighty-one 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 46146401489608225 cubic inches would be around 29890.4 feet tall.

Recreational maths with 46146401489608225

• 46146401489608225 backwards is 52280698410464164
• The number of decimal digits it has is: 17
• The sum of 46146401489608225's digits is 70
• More coming soon!