40964223577328128

Names of 40964223577328128

• Cardinal: 40964223577328128 can be written as Forty quadrillion, nine hundred sixty-four trillion, two hundred twenty-three billion, five hundred seventy-seven million, three hundred twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0964223577328128 × 10¹⁶

Factors of 40964223577328128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 117

Divisors of 40964223577328128

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 121 128 154 176 194 224 242 256 308 352 388 448 484 512 616 679 704 776 847 896 968 1067 1232 1331 1358 1408 1552 1694 1792 1936 2134 2464 2662 2716 2816 3104 3388 3584 3872 4268 4928 5324 5432 5632 6208 6776 7469 7744 8536 9317 9409 9856 10648 10864 11737 12416 13552 14938 15488 17072 18634 18818 19712 21296 21728 23474 24832 27104 29876 30976 34144 37268 37636 39424 42592 43456 46948 49664 54208 59752 61952 65863 68288 74536 75272 82159 85184 86912 93896 103499 108416 119504 129107 131726 136576 149072 150544 164318 170368 173824 187792 206998 216832 239008 258214 263452 273152 298144 301088 328636 340736 347648 375584 413996 433664 478016 516428 526904 546304 596288 602176 657272 681472 724493 751168 827992 903749 912673 956032 1032856 1053808 1138489 1192576 1204352 1314544 1448986 1502336 1655984 1807498 1825346 1912064 2065712 2107616 2276978 2385152 2408704 2629088 2897972 3004672 3311968 3614996 3650692 3824128 4131424 4215232 4553956 4770304 4817408 5258176 5795944 6009344 6388711 6623936 7229992 7301384 7969423 8262848 8430464 9107912 10039403 10516352 11591888 12523379 12777422 13247872 14459984 14602768 15938846 16525696 16860928 18215824 20078806 21032704 23183776 25046758 25554844 26495744 28919968 29205536 31877692 33051392 33721856 36431648 40157612 42065408 46367552 50093516 51109688 52991488 57839936 58411072 63755384 66102784 70275821 72863296 80315224 87663653 88529281 92735104 100187032 102219376 110433433 115679872 116822144 127510768 140551642 145726592 160630448 175327306 177058562 185470208 200374064 204438752 220866866 231359744 233644288 255021536 281103284 291453184 321260896 350654612 354117124 370940416 400748128 408877504 441733732 462719488 467288576 510043072 562206568 582906368 619704967 642521792 701309224 708234248 773034031 801496256 817755008 883467464 973822091 1020086144 1124413136 1214767763 1239409934 1285043584 1402618448 1416468496 1546068062 1602992512 1635510016 1766934928 1947644182 2040172288 2248826272 2429535526 2478819868 2570087168 2805236896 2832936992 3092136124 3205985024 3271020032 3533869856 3895288364 4080344576 4497652544 4859071052 4957639736 5140174336 5610473792 5665873984 6184272248 6411970048 6816754637 7067739712 7790576728 8503374341 8587340257 8995305088 9718142104 9915279472 10712043001 11220947584 11331747968 12368544496 13633509274 14135479424 15581153456 17006748682 17174680514 17990610176 19436284208 19830558944 21424086002 22441895168 22663495936 24737088992 27267018548 28270958848 31162306912 34013497364 34349361028 35981220352 38872568416 39661117888 42848172004 44883790336 45326991872 49474177984 54534037096 56541917696 60111381799 62324613824 68026994728 68698722056 74984301007 77745136832 79322235776 85696344008 94460742827 98948355968 109068074192 117832473011 120222763598 124649227648 136053989456 137397444112 149968602014 155490273664 158644471552 171392688016 188921485654 197896711936 218136148384 235664946022 240445527196 249298455296 272107978912 274794888224 299937204028 310980547328 317288943104 342785376032 377842971308 395793423872 436272296768 471329892044 480891054392 498596910592 544215957824 549589776448 599874408056 621961094656 661225199789 685570752064 755685942616 824827311077 872544593536 942659784088 961782108784 1039068171097 1088431915648 1099179552896 1199748816112 1322450399578 1371141504128 1511371885232 1649654622154 1745089187072 1885319568176 1923564217568 2078136342194 2176863831296 2198359105792 2399497632224 2644900799156 2742283008256 3022743770464 3299309244308 3490178374144 3770639136352 3847128435136 4156272684388 4353727662592 4396718211584 4798995264448 5289801598312 5484566016512 6045487540928 6598618488616 7273477197679 7541278272704 7694256870272 8312545368776 9597990528896 10579603196624 11429749882067 12090975081856 13197236977232 14546954395358 15082556545408 15388513740544 16625090737552 19195981057792 21159206393248 22859499764134 24181950163712 26394473954464 29093908790716 30165113090816 30777027481088 33250181475104 38391962115584 42318412786496 45718999528268 48363900327424 52788947908928 58187817581432 60330226181632 66500362950208 80008249174469 84636825572992 91437999056536 105577895817856 116375635162864 133000725900416 160016498348938 169273651145984 182875998113072 211155791635712 232751270325728 266001451800832 320032996697876 338547302291968 365751996226144 422311583271424 465502540651456 532002903601664 640065993395752 731503992452288 931005081302912 1280131986791504 1463007984904576 1862010162605824 2560263973583008 2926015969809152 3724020325211648 5120527947166016 5852031939618304 10241055894332032 20482111788664064 40964223577328128
• Sum of all divisors σ(n): 103959904047043968
• Sum of proper divisors (its aliquot sum) s(n): 62995680469715840
• 40964223577328128 is an abundant number, because the sum of its proper divisors (62995680469715840) is greater than itself. Its abundance is 22031456892387712

Bases of 40964223577328128

• Binary: 10010001100010001011111010001010110100111000101000000000₂
• Hexadecimal: 0x9188BE8AD38A00
• Base-36: B7CLSIL14HS

Squares and roots of 40964223577328128

• 40964223577328128 squared (40964223577328128²) is 1678067613293325692436855379984384
• 40964223577328128 cubed (40964223577328128³) is 68740736888821191916676394113303517426745083953152
• The square root of 40964223577328128 is 202396204.4538585907
• The cube root of 40964223577328128 is 344721.3982029769

Scales and comparisons

• 40,964,223,577,328,128 seconds is equal to 1,302,535,599 years, 4 weeks, 6 days, 22 hours, 15 minutes, 28 seconds.
• To count from 1 to 40,964,223,577,328,128 would take you about three billion, nine hundred seven million, six hundred six thousand, seven hundred ninety-seven 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 40964223577328128 cubic inches would be around 28726.8 feet tall.

Recreational maths with 40964223577328128

• 40964223577328128 backwards is 82182377532246904
• The number of decimal digits it has is: 17
• The sum of 40964223577328128's digits is 73
• More coming soon!