90988648364339628

Names of 90988648364339628

• Cardinal: 90988648364339628 can be written as Ninety quadrillion, nine hundred eighty-eight trillion, six hundred forty-eight billion, three hundred sixty-four million, three hundred thirty-nine thousand, six hundred twenty-eight.

Scientific notation

• Scientific notation: 9.0988648364339628 × 10¹⁶

Factors of 90988648364339628

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7868

Divisors of 90988648364339628

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 947 977 1218 1421 1894 1954 2436 2841 2842 2931 3788 3908 4263 5682 5684 5862 5903 6629 6839 8526 11364 11724 11806 13258 13678 17052 17709 19887 20517 23612 26516 27356 27463 28333 35418 39774 41034 41321 46403 47873 54926 56666 70836 79548 82068 82389 82642 84999 92806 95746 109852 113332 123963 139209 143619 164778 165284 169998 171187 185612 191492 192241 198331 247926 278418 287238 289247 329556 339996 342374 384482 396662 495852 513561 556836 574476 576723 578494 594993 684748 768964 793324 867741 925219 954529 1027122 1153446 1156988 1189986 1198309 1345687 1388317 1735482 1850438 1909058 2054244 2306892 2379972 2396618 2691374 2775657 2776634 2863587 3470964 3594927 3700876 3818116 4037061 4164951 4793236 5382748 5551314 5553268 5590141 5727174 5767231 6476533 6681703 7189854 8074122 8329902 8388163 11102628 11180282 11454348 11534462 12953066 13363406 14379708 16148244 16659804 16770423 16776326 17301693 19429599 20045109 22360564 23068924 25164489 25906132 26726812 26831351 27681341 33540846 33552652 34603386 38859198 39130987 40090218 40370617 45335731 46771921 50328978 53662702 55362682 67081692 69206772 77718396 78261974 80180436 80494053 80741234 83044023 90671462 93543842 100657956 107325404 110725364 117392961 121111851 136007193 140315763 156523948 160988106 161482468 162114089 166088046 167249699 181342924 187087684 187819457 193769387 234785922 242223702 272014386 273916909 280631526 282594319 321976212 324228178 332176092 334499398 375638914 387538774 469571844 484447404 486342267 501749097 544028772 547833818 561263052 563458371 565188638 581308161 648456356 668998796 751277828 775077548 821750727 847782957 903938963 972684534 1003498194 1095667636 1126916742 1130377276 1134798623 1162616322 1170747893 1314736199 1356385709 1643501454 1695565914 1807877926 1945369068 2006996388 2253833484 2269597246 2325232644 2341495786 2629472398 2711816889 2712771418 3287002908 3391131828 3404395869 3512243679 3615755852 3944208597 4069157127 4539194492 4682991572 5258944796 5423633778 5425542836 5461567757 5634584687 6327572741 6808791738 7024487358 7888417194 7943590361 8138314254 8195235251 10847267556 10923135514 11269169374 12655145482 13617583476 14048974716 15776834388 15887180722 16276628508 16384703271 16390470502 16903754061 18982718223 21846271028 22538338748 23830771083 24585705753 25310290964 26214229927 31774361444 32769406542 32780941004 33807508122 37965436446 38230974299 39442092809 44293009187 47661542166 49171411506 52428459854 65538813084 67615016244 75930872892 76461948598 78642689781 78884185618 88586018374 95323084332 98342823012 104856919708 114692922897 118326278427 132879027561 152923897196 157285379562 157768371236 158385464953 163402955923 177172036748 183499609489 229385845794 236652556854 265758055122 267616820093 276094649663 314570759124 316770929906 326805911846 366999218978 458771691588 473305113708 475156394859 490208867769 531516110244 535233640186 550498828467 552189299326 633541859812 653611823692 733998437956 802850460279 828283948989 950312789718 980417735538 1070467280372 1100997656934 1104378598652 1108698254671 1143820691461 1284497266423 1605700920558 1656567897978 1900625579436 1960835471076 2201995313868 2217396509342 2287641382922 2568994532846 3211401841116 3313135795956 3326094764013 3431462074383 3853491799269 4434793018684 4575282765844 5137989065692 5335951698589 6652189528026 6862924148766 7706983598538 7760887782697 8006744840227 10671903397178 13304379056052 13725848297532 15413967197076 15521775565394 16007855095767 16013489680454 21343806794356 23282663348091 24020234520681 31043551130788 32015710191534 32026979360908 37351661890123 46565326696182 48040469041362 64031420383068 74703323780246 93130653392364 96080938082724 112054985670369 149406647560492 154742599259081 224109971340738 261461633230861 309485198518162 448219942681476 464227797777243 522923266461722 618970397036324 784384899692583 928455595554486 1045846532923444 1083198194813567 1568769799385166 1856911191108972 2166396389627134 3137539598770332 3249594584440701 4332792779254268 6499189168881402 7582387363694969 12998378337762804 15164774727389938 22747162091084907 30329549454779876 45494324182169814 90988648364339628
• Sum of all divisors σ(n): 256060565873118720
• Sum of proper divisors (its aliquot sum) s(n): 165071917508779092
• 90988648364339628 is an abundant number, because the sum of its proper divisors (165071917508779092) is greater than itself. Its abundance is 74083269144439464

Bases of 90988648364339628

• Binary: 101000011010000011011000110010000010110010111000110101100₂
• Hexadecimal: 0x14341B1905971AC
• Base-36: OVWS80AUF1O

Squares and roots of 90988648364339628

• 90988648364339628 squared (90988648364339628²) is 8278934131169444461829252531178384
• 90988648364339628 cubed (90988648364339628³) is 753289026492506192079709894852029073712422828201152
• The square root of 90988648364339628 is 301643246.8402692883
• The cube root of 90988648364339628 is 449775.4408221409

Scales and comparisons

• 90,988,648,364,339,628 seconds is equal to 2,893,157,571 years, 32 weeks, 17 hours, 53 minutes, 48 seconds.
• To count from 1 to 90,988,648,364,339,628 would take you about eight billion, six hundred seventy-nine million, four hundred seventy-two thousand, seven hundred fourteen 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 90988648364339628 cubic inches would be around 37481.3 feet tall.

Recreational maths with 90988648364339628

• 90988648364339628 backwards is 82693346384688909
• The number of decimal digits it has is: 17
• The sum of 90988648364339628's digits is 96
• More coming soon!