40634748099362816

Names of 40634748099362816

• Cardinal: 40634748099362816 can be written as Forty quadrillion, six hundred thirty-four trillion, seven hundred forty-eight billion, ninety-nine million, three hundred sixty-two thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.0634748099362816 × 10¹⁶

Factors of 40634748099362816

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 1888

Divisors of 40634748099362816

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 1879 2048 2744 3136 3584 3758 4096 5488 6272 7168 7516 8192 10976 12544 13153 14336 15032 16384 21952 25088 26306 28672 30064 32768 43904 50176 52612 57344 60128 65536 87808 92071 100352 105224 114688 120256 131072 175616 184142 200704 210448 229376 240512 262144 351232 368284 401408 420896 458752 481024 524288 644497 702464 736568 802816 841792 917504 962048 1048576 1288994 1404928 1473136 1605632 1683584 1835008 1924096 2097152 2577988 2809856 2946272 3211264 3367168 3530641 3670016 3848192 4194304 5155976 5619712 5892544 6422528 6734336 7061282 7340032 7696384 8388608 10311952 11239424 11785088 12845056 13468672 14122564 14680064 15392768 16777216 20623904 22478848 23570176 24714487 25690112 26937344 28245128 29360128 30785536 33554432 41247808 44957696 47140352 49428974 51380224 53874688 56490256 58720256 61571072 82495616 89915392 94280704 98857948 102760448 107749376 112980512 117440512 123142144 164991232 173001409 179830784 188561408 197715896 205520896 215498752 225961024 234881024 246284288 329982464 346002818 359661568 377122816 395431792 411041792 430997504 451922048 492568576 659964928 692005636 719323136 754245632 790863584 822083584 861995008 903844096 985137152 1211009863 1319929856 1384011272 1438646272 1508491264 1581727168 1644167168 1723990016 1807688192 1970274304 2422019726 2639859712 2768022544 2877292544 3016982528 3163454336 3447980032 3615376384 3940548608 4844039452 5279719424 5536045088 5754585088 6033965056 6326908672 6895960064 7230752768 7881097216 9688078904 10559438848 11072090176 11509170176 12067930112 12653817344 13791920128 14461505536 15762194432 19376157808 21118877696 22144180352 24135860224 25307634688 27583840256 28923011072 31524388864 38752315616 42237755392 44288360704 48271720448 50615269376 55167680512 57846022144 63048777728 77504631232 84475510784 88576721408 96543440896 101230538752 110335361024 115692044288 155009262464 168951021568 177153442816 193086881792 202461077504 220670722048 231384088576 310018524928 337902043136 354306885632 386173763584 404922155008 441341444096 462768177152 620037049856 675804086272 708613771264 772347527168 809844310016 925536354304 1240074099712 1351608172544 1417227542528 1544695054336 1619688620032 1851072708608 2480148199424 2703216345088 2834455085056 3089390108672 3239377240064 3702145417216 4960296398848 5406432690176 5668910170112 6478754480128 7404290834432 9920592797696 10812865380352 11337820340224 12957508960256 14808581668864 19841185595392 21625730760704 22675640680448 25915017920512 29617163337728 39682371190784 45351281360896 51830035841024 59234326675456 79364742381568 90702562721792 103660071682048 118468653350912 158729484763136 181405125443584 207320143364096 317458969526272 362810250887168 414640286728192 634917939052544 725620501774336 829280573456384 1269835878105088 1451241003548672 2539671756210176 2902482007097344 5079343512420352 5804964014194688 10158687024840704 20317374049681408 40634748099362816
• Sum of all divisors σ(n): 94825387133449200
• Sum of proper divisors (its aliquot sum) s(n): 54190639034086384
• 40634748099362816 is an abundant number, because the sum of its proper divisors (54190639034086384) is greater than itself. Its abundance is 13555890934723568

Bases of 40634748099362816

• Binary: 10010000010111010001011010001110000000000000000000000000₂
• Hexadecimal: 0x905D168E000000
• Base-36: B43TDKK9728

Squares and roots of 40634748099362816

• 40634748099362816 squared (40634748099362816²) is 1651182753098669987333705203449856
• 40634748099362816 cubed (40634748099362816³) is 67095395238176842148984878644634909924918606954496
• The square root of 40634748099362816 is 201580624.3153414185
• The cube root of 40634748099362816 is 343794.7105858775

Scales and comparisons

• 40,634,748,099,362,816 seconds is equal to 1,292,059,298 years, 1 week, 4 days, 8 hours, 46 minutes, 56 seconds.
• To count from 1 to 40,634,748,099,362,816 would take you about three billion, eight hundred seventy-six million, one hundred seventy-seven thousand, eight hundred ninety-four 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 40634748099362816 cubic inches would be around 28649.6 feet tall.

Recreational maths with 40634748099362816

• 40634748099362816 backwards is 61826399084743604
• The number of decimal digits it has is: 17
• The sum of 40634748099362816's digits is 80
• More coming soon!