90401971968

Names of 90401971968

• Cardinal: 90401971968 can be written as Ninety billion, four hundred one million, nine hundred seventy-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 9.0401971968 × 10¹⁰

Factors of 90401971968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 256

Divisors of 90401971968

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 81 84 88 96 99 108 112 126 128 132 144 154 162 168 176 189 192 198 216 224 231 233 243 252 256 264 288 297 308 324 336 352 378 384 396 432 448 462 466 486 504 528 567 576 594 616 648 672 693 699 704 729 756 768 792 864 891 896 924 932 972 1008 1056 1134 1152 1188 1232 1296 1344 1386 1398 1408 1458 1512 1584 1631 1701 1728 1782 1792 1848 1864 1944 2016 2079 2097 2112 2187 2268 2304 2376 2464 2563 2592 2673 2688 2772 2796 2816 2916 3024 3168 3262 3402 3456 3564 3696 3728 3888 4032 4158 4194 4224 4374 4536 4752 4893 4928 5103 5126 5184 5346 5376 5544 5592 5832 6048 6237 6291 6336 6524 6561 6804 6912 7128 7392 7456 7689 7776 8019 8064 8316 8388 8448 8748 9072 9504 9786 9856 10206 10252 10368 10692 11088 11184 11664 12096 12474 12582 12672 13048 13122 13608 14256 14679 14784 14912 15309 15378 15552 16038 16128 16632 16776 17496 17941 18144 18711 18873 19008 19572 19683 19712 20412 20504 20736 21384 22176 22368 23067 23328 24057 24192 24948 25164 25344 26096 26244 27216 28512 29358 29568 29824 30618 30756 31104 32076 33264 33552 34992 35882 36288 37422 37746 38016 39144 39366 40824 41008 42768 44037 44352 44736 45927 46134 46656 48114 48384 49896 50328 52192 52488 53823 54432 56133 56619 57024 58716 59136 59648 61236 61512 62208 64152 66528 67104 69201 69984 71764 72171 72576 74844 75492 76032 78288 78732 81648 82016 85536 88074 88704 89472 91854 92268 93312 96228 99792 100656 104384 104976 107646 108864 112266 113238 114048 117432 122472 123024 128304 132111 133056 134208 137781 138402 139968 143528 144342 145152 149688 150984 156576 157464 161469 163296 164032 168399 169857 171072 176148 177408 178944 183708 184536 186624 192456 199584 201312 207603 208768 209952 215292 216513 217728 224532 226476 228096 234864 244944 246048 256608 264222 266112 268416 275562 276804 279936 287056 288684 299376 301968 313152 314928 322938 326592 328064 336798 339714 342144 352296 367416 369072 384912 396333 399168 402624 415206 417536 419904 430584 433026 435456 449064 452952 469728 484407 489888 492096 505197 509571 513216 528444 532224 536832 551124 553608 559872 574112 577368 598752 603936 622809 626304 629856 645876 653184 656128 673596 679428 684288 704592 734832 738144 769824 792666 798336 805248 830412 839808 861168 866052 898128 905904 939456 968814 979776 984192 1010394 1019142 1026432 1056888 1102248 1107216 1148224 1154736 1188999 1197504 1207872 1245618 1252608 1259712 1291752 1306368 1347192 1358856 1409184 1453221 1469664 1476288 1515591 1528713 1539648 1585332 1596672 1610496 1660824 1679616 1722336 1732104 1796256 1811808 1868427 1878912 1937628 1959552 1968384 2020788 2038284 2052864 2113776 2204496 2214432 2296448 2309472 2377998 2395008 2415744 2491236 2519424 2583504 2694384 2717712 2818368 2906442 2939328 2952576 3031182 3057426 3079296 3170664 3321648 3444672 3464208 3566997 3592512 3623616 3736854 3757824 3875256 3919104 4041576 4076568 4227552 4359663 4408992 4428864 4586139 4592896 4618944 4755996 4790016 4831488 4982472 5038848 5167008 5388768 5435424 5605281 5636736 5812884 5878656 5905152 6062364 6114852 6158592 6341328 6643296 6889344 6928416 7133994 7185024 7247232 7473708 7750512 8083152 8153136 8455104 8719326 8817984 8857728 9172278 9237888 9511992 9964944 10334016 10700991 10777536 10870848 11210562 11273472 11625768 11757312 12124728 12229704 12682656 13078989 13286592 13778688 13856832 14267988 14370048 14494464 14947416 15501024 16166304 16306272 16815843 16910208 17438652 17635968 17715456 18344556 18475776 19023984 19929888 20668032 21401982 21555072 21741696 22421124 23251536 24249456 24459408 25365312 26157978 26573184 27713664 28535976 29894832 31002048 32102973 32332608 32612544 33631686 33820416 34877304 35271936 36689112 38047968 39236967 39859776 41336064 42803964 43110144 43483392 44842248 46503072 48498912 48918816 50447529 50730624 52315956 53146368 55427328 57071952 59789664 62004096 64205946 64665216 65225088 67263372 69754608 73378224 76095936 78473934 79719552 85607928 89684496 93006144 96997824 97837632 100895058 101461248 104631912 114143904 117710901 119579328 124008192 128411892 129330432 130450176 134526744 139509216 146756448 152191872 156947868 159439104 171215856 179368992 186012288 193995648 195675264 201790116 209263824 228287808 235421802 239158656 256823784 269053488 279018432 293512896 304383744 313895736 342431712 353132703 358737984 372024576 387991296 391350528 403580232 418527648 456575616 470843604 478317312 513647568 538106976 558036864 587025792 627791472 684863424 706265406 717475968 807160464 837055296 913151232 941687208 1027295136 1076213952 1116073728 1174051584 1255582944 1369726848 1412530812 1434951936 1614320928 1674110592 1883374416 2054590272 2152427904 2511165888 2739453696 2825061624 3228641856 3348221184 3766748832 4109180544 4304855808 5022331776 5650123248 6457283712 7533497664 8218361088 10044663552 11300246496 12914567424 15066995328 22600492992 30133990656 45200985984 90401971968
• Sum of all divisors σ(n): 338909066496
• Sum of proper divisors (its aliquot sum) s(n): 248507094528
• 90401971968 is an abundant number, because the sum of its proper divisors (248507094528) is greater than itself. Its abundance is 158105122560

Bases of 90401971968

• Binary: 1010100001100011000001001111100000000₂
• Hexadecimal: 0x150C609F00
• Base-36: 15J30000

Squares and roots of 90401971968

• 90401971968 squared (90401971968²) is 8172516535703057793024
• 90401971968 cubed (90401971968³) is 738811610768644301776839593951232
• The square root of 90401971968 is 300669.2068835783
• The cube root of 90401971968 is 4488.0666866467

Scales and comparisons

• 90,401,971,968 seconds is equal to 2,874 years, 26 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 90,401,971,968 would take you about five thousand, seven hundred forty-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 90401971968 cubic inches would be around 374 feet tall.

Recreational maths with 90401971968

• 90401971968 backwards is 86917910409
• 90401971968 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90401971968's digits is 54
• More coming soon!