90388690541830890

Names of 90388690541830890

• Cardinal: 90388690541830890 can be written as Ninety quadrillion, three hundred eighty-eight trillion, six hundred ninety billion, five hundred forty-one million, eight hundred thirty thousand, eight hundred ninety.

Scientific notation

• Scientific notation: 9.038869054183089 × 10¹⁶

Factors of 90388690541830890

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 29122

Divisors of 90388690541830890

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 243 270 297 330 363 405 486 495 594 605 726 729 810 891 990 1089 1210 1215 1331 1458 1485 1782 1815 2178 2430 2662 2673 2970 3267 3630 3645 3993 4455 5346 5445 6534 6655 7290 7986 8019 8910 9801 10890 11979 13310 13365 14641 16038 16335 19602 19965 23958 26730 29101 29282 29403 32670 35937 39930 40095 43923 49005 58202 58806 59895 71874 73205 80190 87303 87846 88209 98010 107811 119790 131769 145505 146410 147015 174606 176418 179685 215622 219615 261909 263538 291010 294030 320111 323433 359370 395307 436515 439230 441045 523818 539055 640222 646866 658845 785727 790614 873030 882090 960333 970299 1078110 1185921 1309545 1317690 1571454 1600555 1617165 1920666 1940598 1976535 2357181 2371842 2619090 2880999 3201110 3234330 3521221 3557763 3928635 3953070 4714362 4801665 4851495 5761998 5929605 7042442 7071543 7115526 7857270 8642997 9603330 9702990 10563663 10673289 11785905 11859210 14143086 14404995 17285994 17606105 17788815 21127326 21214629 21346578 23571810 25928991 28809990 31690989 35212210 35357715 35577630 38733431 42429258 43214985 51857982 52818315 53366445 63381978 70715430 77466862 77786973 86429970 95072967 105636630 106073145 106732890 116200293 129644955 155573946 158454945 190145934 193667155 212146290 232400586 233360919 259289910 285218901 316909890 348600879 387334310 388934865 426067741 466721838 475364835 570437802 581001465 697201758 777869730 846868201 852135482 855656703 950729670 1045802637 1162002930 1166804595 1278203223 1426094505 1693736402 1711313406 1743004395 2091605274 2130338705 2333609190 2540604603 2556406446 2566970109 2852189010 3137407911 3486008790 3834609669 4234341005 4260677410 4278283515 5081209206 5133940218 5229013185 6274815822 6391016115 7621813809 7669219338 8468682010 8556567030 9315550211 9412223733 10458026370 11503829007 12703023015 12782032230 12834850545 15243627618 15687039555 18631100422 18824447466 19173048345 22865441427 23007658014 25406046030 25669701090 27946650633 28236671199 31374079110 34511487021 38109069045 38346096690 45730882854 46577751055 47061118665 55893301266 56473342398 57519145035 68596324281 69022974042 76218138090 83839951899 93155502110 94122237330 102471052321 103534461063 114327207135 115038290070 137192648562 139733253165 141183355995 167679903798 172557435105 204942104642 205788972843 207068922126 228654414270 251519855697 279466506330 282366711990 307413156963 310603383189 342981621405 345114870210 411577945686 419199759495 503039711394 512355261605 517672305315 614826313926 617366918529 621206766378 685963242810 754559567091 838399518990 922239470889 1024710523210 1028944864215 1035344610630 1127181575531 1234733837058 1257599278485 1509119134182 1537065784815 1553016915945 1844478941778 2057889728430 2254363151062 2263678701273 2515198556970 2766718412667 3074131569630 3086834592645 3106033831890 3381544726593 3772797835455 4527357402546 4611197354445 5533436825334 5635907877655 6173669185290 6763089453186 6791036103819 7545595670910 8300155238001 9222394708890 10144634179779 11271815755310 11318393506365 12398997330841 13582072207638 13833592063335 16600310476002 16907723632965 20289268359558 22636787012730 24797994661682 24900465714003 27667184126670 30433902539337 33815447265930 33955180519095 37196991992523 41500776190005 49800931428006 50723170898895 60867805078674 61994986654205 67910361038190 74393983985046 74701397142009 83001552380010 91301707618011 101446341797790 111590975977569 123989973308410 124502328570015 149402794284018 152169512696685 182603415236022 185984959962615 223181951955138 249004657140030 273905122854033 304339025393370 334772927932707 371969919925230 373506985710045 456508538090055 547810245708066 557954879887845 669545855865414 747013971420090 821715368562099 913017076180110 1004318783798121 1115909759775690 1369525614270165 1643430737124198 1673864639663535 2008637567596242 2739051228540330 3012956351394363 3347729279327070 4108576842810495 5021593918990605 6025912702788726 8217153685620990 9038869054183089 10043187837981210 15064781756971815 18077738108366178 30129563513943630 45194345270915445 90388690541830890
• Sum of all divisors σ(n): 268339215669170310
• Sum of proper divisors (its aliquot sum) s(n): 177950525127339420
• 90388690541830890 is an abundant number, because the sum of its proper divisors (177950525127339420) is greater than itself. Its abundance is 87561834585508530

Bases of 90388690541830890

• Binary: 101000001001000000000100011111111011101010110001011101010₂
• Hexadecimal: 0x1412008FF7562EA
• Base-36: OQ0476TRWMI

Squares and roots of 90388690541830890

• 90388690541830890 squared (90388690541830890²) is 8170115377866868990848913358192100
• 90388690541830890 cubed (90388690541830890³) is 738486030581062169076747193195553267751114333969000
• The square root of 90388690541830890 is 300647119.6300255427
• The cube root of 90388690541830890 is 448784.6887438129

Scales and comparisons

• 90,388,690,541,830,890 seconds is equal to 2,874,080,768 years, 33 weeks, 6 days, 17 hours, 1 minute, 30 seconds.
• To count from 1 to 90,388,690,541,830,890 would take you about eight billion, six hundred twenty-two million, two hundred forty-two thousand, three hundred five 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 90388690541830890 cubic inches would be around 37398.7 feet tall.

Recreational maths with 90388690541830890

• 90388690541830890 backwards is 09803814509688309
• 90388690541830890 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90388690541830890's digits is 81
• More coming soon!