34728101605040640

Names of 34728101605040640

• Cardinal: 34728101605040640 can be written as Thirty-four quadrillion, seven hundred twenty-eight trillion, one hundred one billion, six hundred five million, forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 3.472810160504064 × 10¹⁶

Factors of 34728101605040640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 15074987

Divisors of 34728101605040640

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1220 1280 1464 1536 1830 1920 1952 2440 2560 2928 3660 3840 3904 4880 4919 5856 7320 7680 7808 9760 9838 11712 14640 14757 15616 19520 19676 23424 24595 29280 29514 31232 39040 39352 46848 49190 58560 59028 73785 78080 78704 93696 98380 117120 118056 147570 156160 157408 196760 234240 236112 295140 300059 314816 393520 468480 472224 590280 600118 629632 787040 900177 944448 1180560 1200236 1259264 1500295 1574080 1800354 1888896 2361120 2400472 2518528 3000590 3148160 3600708 3777792 4500885 4722240 4800944 6001180 6296320 7201416 7555584 9001770 9444480 9601888 12002360 12592640 14402832 15069997 18003540 18888960 19203776 24004720 28805664 30139994 36007080 37777920 38407552 45209991 48009440 57611328 60279988 72014160 75349985 76815104 90419982 96018880 115222656 120559976 144028320 150699970 153630208 180839964 192037760 226049955 230445312 241119952 288056640 301399940 361679928 384075520 452099910 460890624 482239904 576113280 602799880 723359856 768151040 904199820 919269817 964479808 1152226560 1205599760 1446719712 1808399640 1838539634 1928959616 2304453120 2411199520 2757809451 2893439424 3616799280 3677079268 3857919232 4596349085 4822399040 5515618902 5786878848 7233598560 7354158536 7715838464 9192698170 9644798080 11031237804 11573757696 13789047255 14467197120 14708317072 18385396340 19289596160 22062475608 23147515392 27578094510 28934394240 29416634144 36770792680 38579192320 44124951216 55156189020 57868788480 58833268288 73541585360 74129315243 88249902432 110312378040 115737576960 117666536576 147083170720 148258630486 176499804864 220624756080 222387945729 235333073152 294166341440 296517260972 352999609728 370646576215 441249512160 444775891458 470666146304 588332682880 593034521944 705999219456 741293152430 882499024320 889551782916 1111939728645 1176665365760 1186069043888 1411998438912 1482586304860 1764998048640 1779103565832 2223879457290 2353330731520 2372138087776 2965172609720 3529996097280 3558207131664 4447758914580 4521888229823 4744276175552 5930345219440 7059992194560 7116414263328 8895517829160 9043776459646 9488552351104 11860690438880 13565664689469 14232828526656 17791035658320 18087552919292 18977104702208 22609441149115 23721380877760 27131329378938 28465657053312 35582071316640 36175105838584 37954209404416 45218882298230 47442761755520 54262658757876 56931314106624 67828323447345 71164142633280 72350211677168 90437764596460 94885523511040 108525317515752 113862628213248 135656646894690 142328285266560 144700423354336 180875529192920 189771047022080 217050635031504 271313293789380 284656570533120 289400846708672 361751058385840 434101270063008 542626587578760 569313141066240 578801693417344 723502116771680 868202540126016 1085253175157520 1157603386834688 1447004233543360 1736405080252032 2170506350315040 2315206773669376 2894008467086720 3472810160504064 4341012700630080 5788016934173440 6945620321008128 8682025401260160 11576033868346880 17364050802520320 34728101605040640
• Sum of all divisors σ(n): 112864370166915840
• Sum of proper divisors (its aliquot sum) s(n): 78136268561875200
• 34728101605040640 is an abundant number, because the sum of its proper divisors (78136268561875200) is greater than itself. Its abundance is 43408166956834560

Bases of 34728101605040640

• Binary: 1111011011000010000011000111111111001000110001000000000₂
• Hexadecimal: 0x7B61063FE46200
• Base-36: 9HY31MQMNEO

Squares and roots of 34728101605040640

• 34728101605040640 squared (34728101605040640²) is 1206041041090026276123456051609600
• 34728101605040640 cubed (34728101605040640³) is 41883515814823425977245065951911969847345414144000
• The square root of 34728101605040640 is 186354773.4967919731
• The cube root of 34728101605040640 is 326257.3826626377

Scales and comparisons

• 34,728,101,605,040,640 seconds is equal to 1,104,246,209 years, 50 weeks, 2 days, 17 hours, 4 minutes.
• To count from 1 to 34,728,101,605,040,640 would take you about three billion, three hundred twelve million, seven hundred thirty-eight thousand, six hundred twenty-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 34728101605040640 cubic inches would be around 27188.1 feet tall.

Recreational maths with 34728101605040640

• 34728101605040640 backwards is 04604050610182743
• The number of decimal digits it has is: 17
• The sum of 34728101605040640's digits is 51
• More coming soon!