349457824239849461952

Names of 349457824239849461952

• Cardinal: 349457824239849461952 can be written as Three hundred forty-nine quintillion, four hundred fifty-seven quadrillion, eight hundred twenty-four trillion, two hundred thirty-nine billion, eight hundred forty-nine million, four hundred sixty-one thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 3.49457824239849461952 × 10²⁰

Factors of 349457824239849461952

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 9899146

Divisors of 349457824239849461952

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 43499 86998 130497 159833 173996 260994 319666 347992 391491 479499 521988 639332 695984 782982 958998 1043976 1174473 1278664 1391968 1438497 1565964 1917996 2087952 2348946 2557328 2783936 2876994 3131928 3523419 3835992 4175904 4315491 4697892 5114656 5753988 6263856 7046838 7671984 8351808 8630982 9395784 9695809 10229312 11507976 12527712 12946473 14093676 15343968 17261964 18791568 19391618 23015952 25055424 25892946 28187352 29087427 30687936 34523928 37583136 38783236 46031904 51785892 56374704 58174854 69047856 75166272 77566472 87262281 92063808 103571784 112749408 116349708 138095712 155132944 174524562 207143568 225498816 232699416 261786843 276191424 310265888 349049124 414287136 465398832 523573686 620531776 698098248 785360529 828574272 930797664 1047147372 1396196496 1570721058 1861595328 2094294744 2792392992 3141442116 4188589488 5584785984 6282884232 6952575667 8377178976 12565768464 13905151334 16754357952 20857727001 25131536928 27810302668 41715454002 50263073856 55620605336 62573181003 83430908004 111241210672 125146362006 166861816008 187719543009 222482421344 250292724012 333723632016 375439086018 421757995691 444964842688 500585448024 563158629027 667447264032 750878172036 843515991382 1001170896048 1126317258054 1265273987073 1334894528064 1501756344072 1549710239897 1687031982764 2002341792096 2252634516108 2530547974146 3003512688144 3099420479794 3374063965528 3795821961219 4004683584192 4505269032216 4649130719691 5061095948292 6007025376288 6198840959588 6748127931056 7591643922438 9010538064432 9298261439382 10122191896584 11387465883657 12014050752576 12397681919176 13496255862112 13947392159073 15183287844876 18021076128864 18596522878764 20244383793168 22774931767314 24795363838352 26992511724224 27894784318146 30366575689752 34162397650971 36042152257728 37193045757528 40488767586336 41842176477219 45549863534628 49590727676704 55789568636292 60733151379504 68324795301942 74386091515056 80977535172672 83684352954438 91099727069256 99181455353408 111579137272584 121466302759008 125526529431657 136649590603884 148772183030112 167368705908876 182199454138512 223158274545168 242932605518016 251053058863314 273299181207768 297544366060224 334737411817752 364398908277024 446316549090336 502106117726628 546598362415536 669474823635504 728797816554048 892633098180672 1004212235453256 1093196724831072 1338949647271008 2008424470906512 2186393449662144 2677899294542016 4016848941813024 8033697883626048 67410845725279603 134821691450559206 202232537175838809 269643382901118412 404465074351677618 539286765802236824 606697611527516427 808930148703355236 1078573531604473648 1213395223055032854 1617860297406710472 1820092834582549281 2157147063208947296 2426790446110065708 3235720594813420944 3640185669165098562 4314294126417894592 4853580892220131416 5460278503747647843 6471441189626841888 7280371338330197124 9707161784440262832 10920557007495295686 12942882379253683776 14560742676660394248 19414323568880525664 21841114014990591372 29121485353320788496 38828647137761051328 43682228029981182744 58242970706641576992 87364456059962365488 116485941413283153984 174728912119924730976 349457824239849461952
• Sum of all divisors σ(n): 1035932868805098330000
• Sum of proper divisors (its aliquot sum) s(n): 686475044565248868048
• 349457824239849461952 is an abundant number, because the sum of its proper divisors (686475044565248868048) is greater than itself. Its abundance is 337017220325399406096

Bases of 349457824239849461952

• Binary: 100101111000110110011100101111010001110100101000111100101100011000000₂
• Hexadecimal: 0x12F1B397A3A51E58C0
• Base-36: 21R0LO0XHO7G00

Squares and roots of 349457824239849461952

• 349457824239849461952 squared (349457824239849461952²) is 122120770922449518180161189294663895650304
• 349457824239849461952 cubed (349457824239849461952³) is 42676058901052282572000532833558643238275858534901687545233408
• The square root of 349457824239849461952 is 18693791061.2012956121
• The cube root of 349457824239849461952 is 7043657.9233169347

Scales and comparisons

• 349,457,824,239,849,461,952 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 349,457,824,239,849,461,952 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 349457824239849461952 cubic inches would be around 586971.5 feet tall.

Recreational maths with 349457824239849461952

• 349457824239849461952 backwards is 259164948932428754943
• 349457824239849461952 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 349457824239849461952's digits is 108
• More coming soon!