345357220135816000

Names of 345357220135816000

• Cardinal: 345357220135816000 can be written as Three hundred forty-five quadrillion, three hundred fifty-seven trillion, two hundred twenty billion, one hundred thirty-five million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 3.45357220135816 × 10¹⁷

Factors of 345357220135816000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 678

Divisors of 345357220135816000

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 71 80 98 100 112 125 140 142 160 175 196 200 224 245 250 280 284 320 343 350 355 392 400 448 490 497 500 560 568 593 686 700 710 784 800 875 980 994 1000 1120 1136 1186 1225 1372 1400 1420 1568 1600 1715 1750 1775 1960 1988 2000 2240 2272 2372 2450 2485 2744 2800 2840 2965 3136 3430 3479 3500 3550 3920 3976 4000 4151 4544 4744 4900 4970 5041 5488 5600 5680 5930 6125 6860 6958 7000 7100 7840 7952 8000 8302 8575 8875 9488 9800 9940 10082 10976 11200 11360 11860 12250 12425 13720 13916 14000 14200 14825 15680 15904 16604 17150 17395 17750 18976 19600 19880 20164 20755 21952 22720 23720 24353 24500 24850 25205 27440 27832 28000 28400 29057 29650 31808 33208 34300 34790 35287 35500 37952 39200 39760 40328 41510 42103 42875 47440 48706 49000 49700 50410 54880 55664 56000 56800 58114 59300 62125 66416 68600 69580 70574 71000 74125 78400 79520 80656 83020 84206 85750 86975 94880 97412 98000 99400 100820 103775 109760 111328 113600 116228 118600 121765 124250 126025 132832 137200 139160 141148 142000 145285 148250 159040 161312 166040 168412 171500 173950 176435 189760 194824 196000 198800 201640 203399 207550 210515 222656 232456 237200 243530 247009 248500 252050 265664 274400 278320 282296 284000 290570 294721 296500 322624 332080 336824 343000 347900 351649 352870 357911 389648 392000 397600 403280 406798 415100 421030 434875 464912 474400 487060 494018 497000 504100 518875 548800 556640 564592 568000 581140 589442 593000 608825 630125 664160 673648 686000 695800 703298 705740 715822 726425 779296 795200 806560 813596 830200 842060 869750 882175 929824 948800 974120 988036 994000 1008200 1016995 1037750 1052575 1113280 1129184 1162280 1178884 1186000 1217650 1235045 1260250 1328320 1347296 1372000 1391600 1406596 1411480 1431644 1452850 1473605 1558592 1613120 1627192 1660400 1684120 1729063 1739500 1758245 1764350 1789555 1859648 1948240 1976072 1988000 2016400 2033990 2063047 2075500 2105150 2258368 2324560 2357768 2372000 2435300 2461543 2470090 2505377 2520500 2694592 2744000 2783200 2813192 2822960 2863288 2905700 2947210 2989313 3044125 3254384 3320800 3368240 3458126 3479000 3516490 3528700 3579110 3632125 3896480 3952144 3976000 4032800 4067980 4126094 4151000 4210300 4410875 4649120 4715536 4744000 4870600 4923086 4940180 5010754 5041000 5084975 5262875 5566400 5626384 5645920 5726576 5811400 5894420 5978626 6088250 6175225 6508768 6641600 6736480 6916252 6958000 7032980 7057400 7158220 7264250 7368025 7792960 7904288 8065600 8135960 8252188 8302000 8420600 8645315 8791225 8821750 8947775 9298240 9431072 9741200 9846172 9880360 10021508 10082000 10169950 10315235 10525750 11252768 11291840 11453152 11622800 11788840 11957252 12176500 12307715 12350450 12526885 13017536 13472960 13832504 13916000 14065960 14114800 14316440 14441329 14528500 14736050 14946565 15808576 16271920 16504376 16604000 16841200 17230801 17290630 17537639 17582450 17643500 17895550 18862144 19482400 19692344 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169792978400 171274161940 173720935682 174769553000 177266260900 185711070125 192984971200 195741899360 196421556800 198538212208 199736632000 205066871800 207996398540 212241223000 214092702425 221582826125 234362139200 237710169760 241231214000 244677374200 245526946000 248172765260 251718090478 256333589750 259995498175 274038659104 279631284800 283626017440 291194957956 292952674000 297137712200 305846717750 310215956575 328106994880 332794237664 339585956800 342548323880 347441871364 349539106000 354532521800 363993697445 371422140250 391483798720 397076424416 410133743600 415992797080 424482446000 428185404850 434302339205 443165652250 475420339520 482462428000 489354748400 491053892000 496345530520 503436180956 512667179500 519990996350 548077318208 567252034880 582389915912 585905348000 594275424400 608023274887 611693435500 620431913150 629295226195 665588475328 685096647760 694883742728 699078212000 709065043600 727987394890 742844280500 794152848832 820267487200 831985594160 848964892000 856370809700 868604678410 881013316673 886331304500 964924856000 978709496800 982107784000 992691061040 1006872361912 1025334359000 1039981992700 1070463512125 1164779831824 1171810696000 1188550848800 1216046549774 1223386871000 1240863826300 1258590452390 1299977490875 1370193295520 1389767485456 1398156424000 1418130087200 1455974789780 1485688561000 1551079782875 1640534974400 1663971188320 1697929784000 1712741619400 1737209356820 1762026633346 1772662609000 1819968487225 1957418993600 1985382122080 2013744723824 2050668718000 2079963985400 2140927024250 2171511696025 2329559663648 2377101697600 2432093099548 2446773742000 2481727652600 2517180904780 2599954981750 2740386591040 2779534970912 2836260174400 2911949579560 2971377122000 3040116374435 3102159565750 3146476130975 3327942376640 3425483238800 3474418713640 3524053266692 3545325218000 3639936974450 3970764244160 4027489447648 4101337436000 4159927970800 4281854048500 4343023392050 4405066583365 4659119327296 4864186199096 4893547484000 4963455305200 5034361809560 5199909963500 5559069941824 5823899159120 5942754244000 6080232748870 6167093216711 6204319131500 6292952261950 6850966477600 6948837427280 7048106533384 7090650436000 7279873948900 8054978895296 8202674872000 8319855941600 8563708097000 8686046784100 8810133166730 9099842436125 9728372398192 9787094968000 9926910610400 10068723619120 10399819927000 10857558480125 11647798318240 11885508488000 12160465497740 12334186433422 12408638263000 12585904523900 13701932955200 13897674854560 14096213066768 14181300872000 14559747897800 15200581872175 15732380654875 16639711883200 17127416194000 17372093568200 17620266333460 18199684872250 19456744796384 19853821220800 20137447238240 20799639854000 21715116960250 22025332916825 23295596636480 24320930995480 24668372866844 24817276526000 25171809047800 27795349709120 28192426133536 29119495795600 30401163744350 30835466083555 31464761309750 34254832388000 34744187136400 35240532666920 36399369744500 38913489592768 40274894476480 41599279708000 43169652516977 43430233920500 44050665833650 48641861990960 49336745733688 49634553052000 50343618095600 56384852267072 58238991591200 60802327488700 61670932167110 62929522619500 68509664776000 69488374272800 70481065333840 72798739489000 76002909360875 83198559416000 86339305033954 86860467841000 88101331667300 97283723981920 98673491467376 99269106104000 100687236191200 110126664584125 116477983182400 121604654977400 123341864334220 125859045239000 138976748545600 140962130667680 145597478978000 152005818721750 154177330417775 172678610067908 173720935682000 176202663334600 194567447963840 197346982934752 201374472382400 215848262584885 220253329168250 243209309954800 246683728668440 251718090478000 281924261335360 291194957956000 304011637443500 308354660835550 345357220135816 347441871364000 352405326669200 394693965869504 431696525169770 440506658336500 486418619909600 493367457336880 503436180956000 582389915912000 608023274887000 616709321671100 690714440271632 694883742728000 704810653338400 770886652088875 863393050339540 881013316673000 972837239819200 986734914673760 1006872361912000 1079241312924425 1216046549774000 1233418643342200 1381428880543264 1409621306676800 1541773304177750 1726786100679080 1762026633346000 1973469829347520 2158482625848850 2432093099548000 2466837286684400 2762857761086528 3083546608355500 3453572201358160 3524053266692000 4316965251697700 4864186199096000 4933674573368800 5396206564622125 6167093216711000 6907144402716320 7048106533384000 8633930503395400 9867349146737600 10792413129244250 12334186433422000 13814288805432640 17267861006790800 21584826258488500 24668372866844000 34535722013581600 43169652516977000 49336745733688000 69071444027163200 86339305033954000 172678610067908000 345357220135816000
• Sum of all divisors σ(n): 1013365278411033600
• Sum of proper divisors (its aliquot sum) s(n): 668008058275217600
• 345357220135816000 is an abundant number, because the sum of its proper divisors (668008058275217600) is greater than itself. Its abundance is 322650838139401600

Bases of 345357220135816000

• Binary: 10011001010111101001000111111011010110011111100101101000000₂
• Hexadecimal: 0x4CAF48FDACFCB40
• Base-36: 2MGIX0O9OLDS

Squares and roots of 345357220135816000

• 345357220135816000 squared (345357220135816000²) is 119271609499938472401485985856000000
• 345357220135816000 cubed (345357220135816000³) is 41191311498023333915467567511867700975018496000000000
• The square root of 345357220135816000 is 587671013.5235666021
• The cube root of 345357220135816000 is 701599.8916792779

Scales and comparisons

• 345,357,220,135,816,000 seconds is equal to 10,981,291,340 years, 15 weeks, 3 days, 5 hours, 46 minutes, 40 seconds.
• To count from 1 to 345,357,220,135,816,000 would take you about thirty-two billion, nine hundred forty-three million, eight hundred seventy-four thousand and twenty 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 345357220135816000 cubic inches would be around 58466.7 feet tall.

Recreational maths with 345357220135816000

• 345357220135816000 backwards is 000618531022753543
• The number of decimal digits it has is: 18
• The sum of 345357220135816000's digits is 55
• More coming soon!