90675348201984

Names of 90675348201984

• Cardinal: 90675348201984 can be written as Ninety trillion, six hundred seventy-five billion, three hundred forty-eight million, two hundred one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 9.0675348201984 × 10¹³

Factors of 90675348201984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10976

Divisors of 90675348201984

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 32 39 42 48 52 56 58 64 78 84 87 91 96 104 112 116 128 156 168 174 182 192 203 208 224 232 256 273 312 336 348 364 377 384 406 416 448 464 512 546 609 624 672 696 728 754 768 812 832 896 928 1092 1131 1218 1248 1344 1392 1456 1508 1536 1624 1664 1792 1856 2184 2262 2436 2496 2639 2688 2731 2784 2912 3016 3248 3328 3584 3712 4368 4524 4872 4992 5278 5376 5462 5568 5824 6032 6496 6656 7424 7917 8191 8193 8736 9048 9744 9984 10556 10752 10924 11136 11648 12064 12992 14848 15834 16382 16386 17472 18096 19117 19488 19968 21112 21848 22272 23296 24128 24573 25984 31668 32764 32772 34944 35503 36192 38234 38976 42224 43696 44544 46592 48256 49146 51968 57337 57351 63336 65528 65544 69888 71006 72384 76468 77952 79199 84448 87392 96512 98292 103936 106483 106509 114674 114702 126672 131056 131088 139776 142012 144768 152936 155904 158398 168896 172011 174784 193024 196584 212966 213018 229348 229404 237539 237597 248521 253344 262112 262176 284024 289536 305872 311808 316796 319449 337792 344022 349568 393168 425932 426036 458696 458808 475078 475194 497042 506688 524224 524352 554393 568048 579072 611744 633592 638898 675584 688044 699136 712617 745381 745563 786336 851864 852072 917392 917616 950156 950388 994084 1013376 1029587 1048448 1048704 1108786 1136096 1223488 1267184 1277796 1351168 1376088 1398272 1425234 1490762 1491126 1572672 1662773 1663179 1703728 1704144 1834784 1835232 1900312 1900776 1988168 2026752 2059174 2096896 2097408 2217572 2236143 2272192 2446976 2534368 2555592 2752176 2850468 2981524 2982252 3088007 3088761 3145344 3325546 3326358 3407456 3408288 3669568 3670464 3800624 3801552 3976336 4053504 4118348 4193792 4194816 4435144 4472286 4544384 4893952 4988319 5068736 5111184 5504352 5700936 5963048 5964504 6176014 6177522 6290688 6651092 6652716 6814912 6816576 7207109 7339136 7340928 7601248 7603104 7952672 8236696 8870288 8944572 9088768 9264021 9787904 9976638 10137472 10222368 11008704 11401872 11926096 11929008 12352028 12355044 12581376 13302184 13305432 13629824 13633152 14414218 14678272 14681856 15202496 15206208 15905344 16473392 17740576 17889144 18177536 18528042 19953276 20274944 20444736 21616049 21621327 22017408 22369621 22803744 23852192 23858016 24704056 24710088 26604368 26610864 27259648 27266304 28828436 29356544 29363712 30404992 30412416 31810688 32946784 35481152 35778288 37056084 39906552 40549888 40889472 43232098 43242654 44034816 44739242 45607488 47704384 47716032 49408112 49420176 53208736 53221728 54519296 54532608 57656872 60809984 60824832 63621376 64848147 65893568 67108863 70962304 71556576 74112168 79813104 81778944 86464196 86485308 88069632 89478484 91214976 95408768 95432064 98816224 98840352 106417472 106443456 115313744 121619968 121649664 127242752 129696294 131787136 134217726 141924608 143113152 148224336 156587347 159626208 163557888 172928392 172970616 178956968 182429952 190817536 190864128 197632448 197680704 212834944 212886912 230627488 259392588 263574272 268435452 283849216 286226304 290805073 296448672 313174694 319252416 345856784 345941232 357913936 364859904 381635072 381728256 395264896 395361408 425669888 425773824 461254976 469762041 518785176 527148544 536870904 572452608 581610146 592897344 626349388 638504832 648719009 691713568 691882464 715827872 790529792 790722816 851339776 851547648 872415219 922509952 939524082 1037570352 1073741808 1144905216 1163220292 1185794688 1252698776 1277009664 1297438018 1383427136 1383764928 1431655744 1581059584 1581445632 1744830438 1845019904 1879048164 1946157027 2035635511 2075140704 2147483616 2326440584 2371589376 2505397552 2554019328 2594876036 2766854272 2767529856 2863311488 3489660876 3690039808 3758096328 3892314054 4071271022 4150281408 4294967232 4541033063 4652881168 4743178752 5010795104 5189752072 5533708544 5535059712 5726622976 6106906533 6979321752 7516192656 7784628108 8142542044 8300562816 8433347117 8589934464 9082066126 9305762336 10021590208 10379504144 11067417088 11070119424 11453245952 12213813066 13623099189 13958643504 15032385312 15569256216 16285084088 16601125632 16866694234 17179868928 18164132252 18611524672 20043180416 20759008288 24427626132 25300041351 27246198378 27917287008 30064770624 31138512432 32570168176 33202251264 33733388468 34359737856 36328264504 37223049344 40086360832 41518016576 48855252264 50600082702 54492396756 55834574016 59033429819 60129541248 62277024864 65140336352 67466776936 72656529008 74446098688 80172721664 83036033152 97710504528 101200165404 108984793512 111669148032 118066859638 120259082496 124554049728 130280672704 134933553872 145313058016 148892197376 166072066304 177100289457 195421009056 202400330808 217969587024 223338296064 236133719276 240518164992 249108099456 260561345408 269867107744 290626116032 332144132608 354200578914 390842018112 404800661616 435939174048 446676592128 472267438552 498216198912 521122690816 539734215488 581252232064 708401157828 781684036224 809601323232 871878348096 944534877104 996432397824 1042245381632 1079468430976 1162504464128 1416802315656 1563368072448 1619202646464 1743756696192 1889069754208 2158936861952 2325008928256 2833604631312 3126736144896 3238405292928 3487513392384 3778139508416 4317873723904 5667209262624 6476810585856 6975026784768 7556279016832 11334418525248 12953621171712 15112558033664 22668837050496 30225116067328 45337674100992 90675348201984
• Sum of all divisors σ(n): 307712785121280
• Sum of proper divisors (its aliquot sum) s(n): 217037436919296
• 90675348201984 is an abundant number, because the sum of its proper divisors (217037436919296) is greater than itself. Its abundance is 126362088717312

Bases of 90675348201984

• Binary: 10100100111011111111111111010110110001000000000₂
• Hexadecimal: 0x5277FFEB6200
• Base-36: W53OH5G5C

Squares and roots of 90675348201984

• 90675348201984 squared (90675348201984²) is 8222018771551043021661536256
• 90675348201984 cubed (90675348201984³) is 745534415033639565305097211914700827131904
• The square root of 90675348201984 is 9522360.4322659409
• The cube root of 90675348201984 is 44925.8611642723

Scales and comparisons

• 90,675,348,201,984 seconds is equal to 2,883,195 years, 30 weeks, 6 days, 18 hours, 46 minutes, 24 seconds.
• To count from 1 to 90,675,348,201,984 would take you about seven million, two hundred seven thousand, nine hundred eighty-eight 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 90675348201984 cubic inches would be around 3743.8 feet tall.

Recreational maths with 90675348201984

• 90675348201984 backwards is 48910284357609
• The number of decimal digits it has is: 14
• The sum of 90675348201984's digits is 66
• More coming soon!