40649177545419072

Names of 40649177545419072

• Cardinal: 40649177545419072 can be written as Forty quadrillion, six hundred forty-nine trillion, one hundred seventy-seven billion, five hundred forty-five million, four hundred nineteen thousand and seventy-two.

Scientific notation

• Scientific notation: 4.0649177545419072 × 10¹⁶

Factors of 40649177545419072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 12086

Divisors of 40649177545419072

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 64 84 93 96 98 112 124 147 168 186 192 196 217 224 248 294 336 372 392 434 448 496 588 651 672 744 784 868 961 992 1176 1302 1344 1488 1519 1568 1736 1922 1984 2352 2604 2883 2976 3038 3136 3472 3844 4557 4704 5208 5766 5952 6076 6727 6944 7688 9114 9408 10416 11532 12043 12152 13454 13888 15376 18228 20181 20832 23064 24086 24304 26908 29791 30752 36129 36456 40362 41664 46128 47089 48172 48608 53816 59582 61504 72258 72912 80724 84301 89373 92256 94178 96344 97216 107632 119164 141267 144516 145824 161448 168602 178746 184512 188356 192688 208537 215264 238328 252903 282534 289032 291648 322896 337204 357492 373333 376712 385376 417074 430528 476656 505806 565068 578064 590107 625611 645792 674408 714984 746666 753424 770752 834148 953312 1011612 1119999 1130136 1156128 1180214 1251222 1291584 1348816 1429968 1459759 1493332 1506848 1668296 1770321 1906624 2023224 2239998 2260272 2312256 2360428 2502444 2613331 2697632 2859936 2919518 2986664 3013696 3336592 3540642 4046448 4379277 4479996 4520544 4720856 5004888 5226662 5395264 5719872 5839036 5973328 6673184 7081284 7839993 8092896 8758554 8959992 9041088 9441712 10009776 10453324 11573323 11678072 11946656 13346368 14162568 15679986 16185792 17517108 17919984 18293317 18883424 20019552 20906648 23146646 23356144 23893312 28325136 31359972 34719969 35034216 35839968 36586634 37766848 40039104 41813296 46293292 46712288 54879951 56650272 62719944 69439938 70068432 71679936 73173268 81013261 83626592 92586584 93424576 109759902 113300544 125439888 138879876 140136864 145033849 146346536 162026522 167253184 185173168 219519804 243039783 250879776 277759752 280273728 290067698 292693072 324053044 358773013 370346336 435101547 439039608 486079566 501759552 555519504 567092827 580135396 585386144 648106088 717546026 740692672 870203094 878079216 972159132 1015236943 1076319039 1111039008 1134185654 1160270792 1170772288 1296212176 1435092052 1701278481 1740406188 1756158432 1944318264 2030473886 2152638078 2222078016 2268371308 2320541584 2511411091 2592424352 2870184104 3045710829 3402556962 3480812376 3512316864 3888636528 4060947772 4305276156 4496049319 4536742616 4641083168 5022822182 5184848704 5740368208 6091421658 6805113924 6961624752 7106658601 7534233273 7777273056 8121895544 8610552312 8992098638 9073485232 9282166336 10045644364 11480736416 12182843316 13488147957 13610227848 13923249504 14213317202 15068466546 15554546112 16243791088 17221104624 17579877637 17984197276 18146970464 20091288728 21319975803 22961472832 24365686632 26976295914 27220455696 27846499008 28426634404 30136933092 31472345233 32487582176 34442209248 35159755274 35968394552 36293940928 40182577456 42639951606 48731373264 52739632911 53952591828 54440911392 56853268808 60273866184 62944690466 64975164352 68884418496 70319510548 71936789104 80365154912 85279903212 94417035699 97462746528 105479265822 107905183656 108881822784 113706537616 120547732368 125889380932 139377528889 140639021096 143873578208 160730309824 170559806424 188834071398 194925493056 210958531644 215810367312 220306416631 227413075232 241095464736 251778761864 278755057778 281278042192 287747156416 341119612848 377668142796 418132586667 421917063288 431620734624 440612833262 454826150464 482190929472 503557523728 557510115556 562556084384 660919249893 682239225696 755336285592 836265173334 843834126576 863241469248 881225666524 975642702223 1007115047456 1115020231112 1125112168768 1321838499786 1364478451392 1510672571184 1672530346668 1687668253152 1762451333048 1951285404446 2014230094912 2230040462224 2643676999572 2926928106669 3021345142368 3345060693336 3375336506304 3524902666096 3902570808892 4320703395559 4460080924448 5287353999144 5853856213338 6042690284736 6690121386672 6829498915561 7049805332192 7805141617784 8641406791118 8920161848896 10574707998288 11707712426676 12962110186677 13380242773344 13658997831122 14099610664384 15610283235568 17282813582236 20488496746683 21149415996576 23415424853352 25924220373354 26760485546688 27317995662244 30244923768913 31220566471136 34565627164472 40976993493366 42298831993152 46830849706704 51848440746708 54635991324488 60489847537826 62441132942272 69131254328944 81953986986732 90734771306739 93661699413408 103696881493416 109271982648976 120979695075652 138262508657888 163907973973464 181469542613478 187323398826816 207393762986832 211714466382391 218543965297952 241959390151304 276525017315776 327815947946928 362939085226956 414787525973664 423428932764782 437087930595904 483918780302608 635143399147173 655631895893856 725878170453912 829575051947328 846857865529564 967837560605216 1270286798294346 1311263791787712 1451756340907824 1693715731059128 1935675121210432 2540573596588692 2903512681815648 3387431462118256 5081147193177384 5807025363631296 6774862924236512 10162294386354768 13549725848473024 20324588772709536 40649177545419072
• Sum of all divisors σ(n): 129291226251363072
• Sum of proper divisors (its aliquot sum) s(n): 88642048705944000
• 40649177545419072 is an abundant number, because the sum of its proper divisors (88642048705944000) is greater than itself. Its abundance is 47992871160524928

Bases of 40649177545419072

• Binary: 10010000011010100011011000101100000000011010100101000000₂
• Hexadecimal: 0x906A362C01A940
• Base-36: B48XID7VOLC

Squares and roots of 40649177545419072

• 40649177545419072 squared (40649177545419072²) is 1652355635119002091289452101341184
• 40649177545419072 cubed (40649177545419072³) is 67166897580126009192771826897591974307526532661248
• The square root of 40649177545419072 is 201616411.8950118405
• The cube root of 40649177545419072 is 343835.3997364793

Scales and comparisons

• 40,649,177,545,419,072 seconds is equal to 1,292,518,109 years, 40 weeks, 4 days, 20 hours, 51 minutes, 12 seconds.
• To count from 1 to 40,649,177,545,419,072 would take you about three billion, eight hundred seventy-seven million, five hundred fifty-four thousand, three 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 40649177545419072 cubic inches would be around 28652.9 feet tall.

Recreational maths with 40649177545419072

• 40649177545419072 backwards is 27091454577194604
• The number of decimal digits it has is: 17
• The sum of 40649177545419072's digits is 75
• More coming soon!