345839814732406528

Names of 345839814732406528

• Cardinal: 345839814732406528 can be written as Three hundred forty-five quadrillion, eight hundred thirty-nine trillion, eight hundred fourteen billion, seven hundred thirty-two million, four hundred six thousand, five hundred twenty-eight.

Scientific notation

• Scientific notation: 3.45839814732406528 × 10¹⁷

Factors of 345839814732406528

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 611

Divisors of 345839814732406528

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 16 32 61 64 122 127 128 244 254 256 421 488 508 842 976 1016 1684 1952 2032 3368 3721 3904 4064 6736 7442 7747 7808 8128 13472 14884 15494 15616 16129 16256 25681 26944 29768 30988 32258 32512 51362 53467 53888 59536 61976 64516 102724 106934 107776 119072 123952 129032 177241 205448 213868 238144 247904 258064 354482 410896 427736 472567 476288 495808 516128 708964 821792 855472 945134 952576 983869 991616 1032256 1417928 1566541 1643584 1710944 1890268 1967738 1983232 2048383 2064512 2835856 3133082 3261487 3287168 3421888 3780536 3935476 4096766 4129024 5671712 6266164 6522974 6574336 6790309 6843776 7561072 7870952 8193532 10811701 11343424 12532328 13045948 13580618 13687552 15122144 15741904 16387064 21623402 22509607 22686848 25064656 26091896 27161236 30244288 31483808 32774128 43246804 45019214 45373696 50129312 52183792 54322472 60016009 60488576 62967616 65548256 86493608 90038428 100258624 104367584 108644944 120032018 120977152 124951363 125935232 131096512 172987216 180076856 198950707 200517248 208735168 217289888 240064036 249902726 251870464 262193024 345974432 360153712 397901414 401034496 414208849 417470336 434579776 480128072 499805452 524386048 659513761 691948864 720307424 795802828 828417698 834940672 862369243 869159552 960256144 999610904 1319027522 1373086027 1383897728 1440614848 1591605656 1656835396 1724738486 1738319104 1920512288 1999221808 2638055044 2746172054 2767795456 2858720089 2881229696 3183211312 3313670792 3449476972 3841024576 3998443616 5276110088 5492344108 5717440178 5762459392 6366422624 6627341584 6898953944 7622033143 7682049152 7996887232 10552220176 10984688216 11434880356 12732845248 13254683168 13797907888 15244066286 15364098304 15993774464 21104440352 21969376432 22869760712 25266739789 25465690496 26509366336 27595815776 30488132572 31987548928 42208880704 43938752864 45739521424 50533479578 50931380992 52604523823 53018732672 55191631552 60976265144 83758247647 84417761408 87877505728 91479042848 101066959156 105209047646 106037465344 110383263104 121952530288 167516495294 168835522816 174381925429 175755011456 182958085696 202133918312 210418095292 220766526208 243905060576 335032990588 348763850858 351510022912 363057451303 365916171392 404267836624 420836190584 487810121152 670065981176 697527701716 726114902606 731832342784 808535673248 841672381168 975620242304 1340131962352 1395055403432 1452229805212 1617071346496 1683344762336 1951240484608 2680263924704 2790110806864 2904459610424 3208875953203 3234142692992 3366689524672 5360527849408 5580221613728 5808919220848 6417751906406 6468285385984 6733379049344 10637297451169 10721055698816 11160443227456 11617838441696 12835503812812 13466758098688 21274594902338 21442111397632 22146504529483 22320886454912 23235676883392 25671007625624 42549189804676 44293009058966 44641772909824 46471353766784 51342015251248 85098379609352 88586018117932 92942707533568 102684030502496 170196759218704 177172036235864 205368061004992 340393518437408 354344072471728 410736122009984 680787036874816 708688144943456 821472244019968 1350936776298463 1361574073749632 1417376289886912 2701873552596926 2723148147499264 2834752579773824 5403747105193852 5669505159547648 10807494210387704 21614988420775408 43229976841550816 86459953683101632 172919907366203264 345839814732406528
• Sum of all divisors σ(n): 709085443051964160
• Sum of proper divisors (its aliquot sum) s(n): 363245628319557632
• 345839814732406528 is an abundant number, because the sum of its proper divisors (363245628319557632) is greater than itself. Its abundance is 17405813587151104

Bases of 345839814732406528

• Binary: 10011001100101010110111101010101010010011111101111100000000₂
• Hexadecimal: 0x4CCAB7AAA4FDF00
• Base-36: 2ML9ZDKK9PTS

Squares and roots of 345839814732406528

• 345839814732406528 squared (345839814732406528²) is 119605177454145271368230906257014784
• 345839814732406528 cubed (345839814732406528³) is 41364232411778206928982919539401236647803849594109952
• The square root of 345839814732406528 is 588081469.4686498349
• The cube root of 345839814732406528 is 701926.5396709053

Scales and comparisons

• 345,839,814,732,406,528 seconds is equal to 10,996,636,355 years, 36 weeks, 4 days, 22 hours, 15 minutes, 28 seconds.
• To count from 1 to 345,839,814,732,406,528 would take you about thirty-two billion, nine hundred eighty-nine million, nine hundred nine thousand and sixty-seven 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 345839814732406528 cubic inches would be around 58493.9 feet tall.

Recreational maths with 345839814732406528

• 345839814732406528 backwards is 825604237418938543
• The number of decimal digits it has is: 18
• The sum of 345839814732406528's digits is 82
• More coming soon!