34943966489134080

Names of 34943966489134080

• Cardinal: 34943966489134080 can be written as Thirty-four quadrillion, nine hundred forty-three trillion, nine hundred sixty-six billion, four hundred eighty-nine million, one hundred thirty-four thousand and eighty.

Scientific notation

• Scientific notation: 3.494396648913408 × 10¹⁶

Factors of 34943966489134080

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 508606799

Divisors of 34943966489134080

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 71 72 80 84 90 96 105 108 112 120 126 128 135 140 142 144 160 168 180 189 192 210 213 216 224 240 252 256 270 280 284 288 315 320 336 355 360 378 384 420 426 432 448 480 497 504 512 540 560 568 576 630 639 640 672 710 720 756 768 840 852 864 896 945 960 994 1008 1024 1065 1080 1120 1136 1152 1260 1278 1280 1344 1420 1440 1491 1512 1536 1680 1704 1728 1792 1890 1917 1920 1988 2016 2130 2160 2240 2272 2304 2485 2520 2556 2560 2688 2840 2880 2982 3024 3072 3195 3360 3408 3456 3584 3780 3834 3840 3976 4032 4260 4320 4473 4480 4544 4608 4970 5040 5112 5120 5376 5680 5760 5964 6048 6390 6720 6816 6912 7168 7455 7560 7668 7680 7952 8064 8520 8640 8946 8960 9088 9216 9585 9940 10080 10224 10752 11360 11520 11928 12096 12780 13419 13440 13632 13824 14910 15120 15336 15360 15904 16128 17040 17280 17892 17920 18176 19170 19880 20160 20448 21504 22365 22720 23040 23856 24192 25560 26838 26880 27264 27648 29820 30240 30672 31808 32256 34080 34560 35784 35840 36352 38340 39760 40320 40896 44730 45440 46080 47712 48384 51120 53676 53760 54528 59640 60480 61344 63616 64512 67095 68160 69120 71568 72704 76680 79520 80640 81792 89460 90880 95424 96768 102240 107352 107520 109056 119280 120960 122688 127232 134190 136320 138240 143136 153360 159040 161280 163584 178920 181760 190848 193536 204480 214704 218112 238560 241920 245376 254464 268380 272640 286272 306720 318080 322560 327168 357840 363520 381696 408960 429408 477120 483840 490752 508928 536760 545280 572544 613440 636160 654336 715680 763392 817920 858816 954240 967680 981504 1073520 1090560 1145088 1226880 1272320 1431360 1526784 1635840 1717632 1908480 1963008 2147040 2290176 2453760 2544640 2862720 3271680 3435264 3816960 4294080 4580352 4907520 5725440 6870528 7633920 8588160 9815040 11450880 13741056 17176320 22901760 34352640 68705280 508606711 1017213422 1525820133 2034426844 2543033555 3051640266 3560246977 4068853688 4577460399 5086067110 6103280532 7120493954 7629100665 8137707376 9154920798 10172134220 10680740931 12206561064 13732381197 14240987908 15258201330 16275414752 17801234885 18309841596 20344268440 21361481862 22887301995 24413122128 27464762394 28481975816 30516402660 32042222793 32550829504 35602469770 36111076481 36619683192 40688536880 42722963724 45774603990 48826244256 53403704655 54929524788 56963951632 61032805320 64084445586 65101659008 68661905985 71204939540 72222152962 73239366384 81377073760 85445927448 91549207980 96126668379 97652488512 106807409310 108333229443 109859049576 113927903264 122065610640 128168891172 130203318016 137323811970 142409879080 144444305924 146478732768 160211113965 162754147520 170891854896 180555382405 183098415960 192253336758 195304977024 213614818620 216666458886 219718099152 227855806528 244131221280 252777535367 256337782344 260406636032 274647623940 284819758160 288888611848 292957465536 320422227930 324999688329 325508295040 341783709792 361110764810 366196831920 384506673516 390609954048 427229637240 433332917772 439436198304 455711613056 480633341895 488262442560 505555070734 512675564688 520813272064 541666147215 549295247880 569639516320 577777223696 585914931072 640844455860 649999376658 651016590080 683567419584 722221529620 732393663840 758332606101 769013347032 781219908096 854459274480 866665835544 878872396608 911423226112 961266683790 974999064987 976524885120 1011110141468 1025351129376 1083332294430 1098590495760 1139279032640 1155554447392 1171829862144 1263887676835 1281688911720 1299998753316 1302033180160 1367134839168 1444443059240 1464787327680 1516665212202 1538026694064 1562439816192 1624998441645 1708918548960 1733331671088 1757744793216 1822846452224 1922533367580 1949998129974 1953049770240 2022220282936 2050702258752 2166664588860 2197180991520 2274997818303 2278558065280 2311108894784 2343659724288 2527775353670 2563377823440 2599997506632 2604066360320 2734269678336 2888886118480 2929574655360 3033330424404 3076053388128 3249996883290 3417837097920 3466663342176 3515489586432 3645692904448 3791663030505 3845066735160 3899996259948 3906099540480 4044440565872 4101404517504 4333329177720 4394361983040 4549995636606 4557116130560 4622217789568 4687319448576 4874995324935 5055550707340 5126755646880 5199995013264 5468539356672 5777772236960 5859149310720 6066660848808 6152106776256 6499993766580 6824993454909 6835674195840 6933326684352 7030979172864 7583326061010 7690133470320 7799992519896 7812199080960 8088881131744 8202809035008 8666658355440 8788723966080 9099991273212 9114232261120 9244435579136 9749990649870 10111101414680 10253511293760 10399990026528 10937078713344 11374989091515 11555544473920 11718298621440 12133321697616 12304213552512 12999987533160 13649986909818 13671348391680 13866653368704 14061958345728 15166652122020 15380266940640 15599985039792 16177762263488 16405618070016 17333316710880 17577447932160 18199982546424 18228464522240 18488871158272 19499981299740 20222202829360 20507022587520 20799980053056 22749978183030 23111088947840 23436597242880 24266643395232 24608427105024 25999975066320 27299973819636 27342696783360 27733306737408 30333304244040 30760533881280 31199970079584 32355524526976 32811236140032 34124967274545 34666633421760 35154895864320 36399965092848 36977742316544 38999962599480 40444405658720 41014045175040 41599960106112 45499956366060 46222177895680 48533286790464 49216854210048 51999950132640 54599947639272 54685393566720 55466613474816 60666608488080 61521067762560 62399940159168 64711049053952 68249934549090 69333266843520 70309791728640 72799930185696 77999925198960 80888811317440 82028090350080 83199920212224 90999912732120 92444355791360 97066573580928 98433708420096 103999900265280 109199895278544 110933226949632 121333216976160 123042135525120 124799880318336 129422098107904 136499869098180 138666533687040 145599860371392 155999850397920 161777622634880 164056180700160 166399840424448 181999825464240 184888711582720 194133147161856 207999800530560 218399790557088 242666433952320 246084271050240 249599760636672 258844196215808 272999738196360 277333067374080 291199720742784 311999700795840 323555245269760 332799680848896 363999650928480 388266294323712 415999601061120 436799581114176 485332867904640 492168542100480 499199521273344 545999476392720 554666134748160 582399441485568 623999401591680 647110490539520 727999301856960 776532588647424 831999202122240 873599162228352 970665735809280 998399042546688 1091998952785440 1164798882971136 1247998803183360 1294220981079040 1455998603713920 1663998404244480 1747198324456704 1941331471618560 2183997905570880 2329597765942272 2495997606366720 2911997207427840 3494396648913408 3882662943237120 4367995811141760 4991995212733440 5823994414855680 6988793297826816 8735991622283520 11647988829711360 17471983244567040 34943966489134080
• Sum of all divisors σ(n): 143924143951503360
• Sum of proper divisors (its aliquot sum) s(n): 108980177462369280
• 34943966489134080 is an abundant number, because the sum of its proper divisors (108980177462369280) is greater than itself. Its abundance is 74036210973235200

Bases of 34943966489134080

• Binary: 1111100001001010101101000110101101000001100010000000000₂
• Hexadecimal: 0x7C255A35A0C400
• Base-36: 9K2LOL95HC0

Squares and roots of 34943966489134080

• 34943966489134080 squared (34943966489134080²) is 1221080793993725561174708217446400
• 34943966489134080 cubed (34943966489134080³) is 42669406345841980998810402148042231631484813312000
• The square root of 34943966489134080 is 186933053.4954535001
• The cube root of 34943966489134080 is 326931.9765145437

Scales and comparisons

• 34,943,966,489,134,080 seconds is equal to 1,111,110,045 years, 29 weeks, 4 days, 4 hours, 48 minutes.
• To count from 1 to 34,943,966,489,134,080 would take you about three billion, three hundred thirty-three million, three hundred thirty thousand, one hundred thirty-six 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 34943966489134080 cubic inches would be around 27244.3 feet tall.

Recreational maths with 34943966489134080

• 34943966489134080 backwards is 08043198466934943
• The number of decimal digits it has is: 17
• The sum of 34943966489134080's digits is 81
• More coming soon!