40471009888071168

Names of 40471009888071168

• Cardinal: 40471009888071168 can be written as Forty quadrillion, four hundred seventy-one trillion, nine billion, eight hundred eighty-eight million, seventy-one thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0471009888071168 × 10¹⁶

Factors of 40471009888071168

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 223

Divisors of 40471009888071168

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 211 216 224 252 256 288 336 378 384 422 432 448 504 512 576 633 672 756 768 844 864 896 1008 1152 1266 1344 1477 1512 1536 1688 1728 1792 1899 2016 2304 2532 2688 2954 3024 3376 3456 3584 3798 4032 4431 4608 5064 5376 5697 5908 6048 6752 6912 7596 8064 8862 10128 10752 11394 11816 12096 13293 13504 13824 15192 16128 17724 20256 22788 23632 24192 26586 27008 30384 32256 35448 39879 40512 44521 45576 47264 48384 53172 54016 60768 70896 79758 81024 89042 91152 94528 96768 106344 108032 121536 133563 141792 159516 162048 178084 182304 189056 212688 243072 267126 283584 311647 319032 324096 356168 364608 378112 400689 425376 486144 534252 567168 623294 638064 712336 729216 756224 801378 850752 934941 972288 1068504 1134336 1202067 1246588 1276128 1424672 1458432 1602756 1701504 1869882 2137008 2268672 2404134 2493176 2552256 2804823 2849344 2916864 3205512 3403008 3739764 4274016 4808268 4986352 5104512 5609646 5698688 6411024 6806016 7479528 8414469 8548032 9393931 9616536 9972704 10209024 11219292 11397376 12822048 14959056 16828938 17096064 18787862 19233072 19945408 20418048 22438584 22794752 25644096 28181793 29918112 33657876 34192128 37575724 38466144 39890816 44877168 51288192 56363586 59836224 65757517 67315752 68384256 75151448 76932288 79781632 84545379 89754336 102576384 112727172 119672448 131515034 134631504 150302896 153864576 159563264 169090758 179508672 197272551 205152768 225454344 239344896 253636137 263030068 269263008 300605792 307729152 338181516 359017344 394545102 450908688 478689792 507272274 526060136 538526016 591817653 601211584 615458304 676363032 718034688 789090204 901817376 1014544548 1052120272 1077052032 1183635306 1202423168 1352726064 1436069376 1578180408 1775452959 1803634752 1982119441 2029089096 2104240544 2154104064 2367270612 2404846336 2705452128 3156360816 3550905918 3607269504 3964238882 4058178192 4208481088 4308208128 4734541224 4809692672 5410904256 5946358323 6312721632 7101811836 7214539008 7928477764 8116356384 8416962176 9469082448 10821808512 11892716646 12625443264 13874836087 14203623672 14429078016 15856955528 16232712768 16833924352 17839074969 18938164896 21643617024 23785433292 25250886528 27749672174 28407247344 31713911056 32465425536 33667848704 35678149938 37876329792 41624508261 43287234048 47570866584 50501773056 53517224907 55499344348 56814494688 63427822112 64930851072 71356299876 75752659584 83249016522 95141733168 101003546112 107034449814 110998688696 113628989376 124873524783 126855644224 129861702144 142712599752 151505319168 166498033044 190283466336 214068899628 221997377392 227257978752 249747049566 253711288448 285425199504 303010638336 332996066088 374620574349 380566932672 418227202051 428137799256 443994754784 454515957504 499494099132 507422576896 570850399008 665992132176 749241148698 761133865344 836454404102 856275598512 887989509568 909031915008 998988198264 1014845153792 1141700798016 1254681606153 1331984264352 1498482297396 1522267730688 1672908808204 1712551197024 1775979019136 1997976396528 2283401596032 2509363212306 2663968528704 2927590414357 2996964594792 3044535461376 3345817616408 3425102394048 3551958038272 3764044818459 3995952793056 4566803192064 5018726424612 5327937057408 5855180828714 5993929189584 6691635232816 6850204788096 7103916076544 7528089636918 7991905586112 8782771243071 9133606384128 10037452849224 10655874114816 11292134455377 11710361657428 11987858379168 13383270465632 13700409576192 15056179273836 15983811172224 17565542486142 20074905698448 21311748229632 22584268910754 23420723314856 23975716758336 26348313729213 26766540931264 27400819152384 30112358547672 31967622344448 35131084972284 40149811396896 45168537821508 46841446629712 47951433516672 52696627458426 53533081862528 60224717095344 63935244688896 70262169944568 79044941187639 80299622793792 90337075643016 93682893259424 95902867033344 105393254916852 107066163725056 120449434190688 140524339889136 158089882375278 160599245587584 180674151286032 187365786518848 191805734066688 210786509833704 214132327450112 240898868381376 281048679778272 316179764750556 321198491175168 361348302572064 374731573037696 421573019667408 481797736762752 562097359556544 632359529501112 642396982350336 722696605144128 749463146075392 843146039334816 963595473525504 1124194719113088 1264719059002224 1445393210288256 1498926292150784 1686292078669632 1927190947051008 2248389438226176 2529438118004448 2890786420576512 3372584157339264 4496778876452352 5058876236008896 5781572841153024 6745168314678528 10117752472017792 13490336629357056 20235504944035584 40471009888071168
• Sum of all divisors σ(n): 137562813324668160
• Sum of proper divisors (its aliquot sum) s(n): 97091803436596992
• 40471009888071168 is an abundant number, because the sum of its proper divisors (97091803436596992) is greater than itself. Its abundance is 56620793548525824

Bases of 40471009888071168

• Binary: 10001111110010000010101101001000000101000110111000000000₂
• Hexadecimal: 0x8FC82B48146E00
• Base-36: B2HRX9WUIO0

Squares and roots of 40471009888071168

• 40471009888071168 squared (40471009888071168²) is 1637902641360354254207423432884224
• 40471009888071168 cubed (40471009888071168³) is 66287573994192781048391833046823767774078416453632
• The square root of 40471009888071168 is 201174078.5689626765
• The cube root of 40471009888071168 is 343332.3139628851

Scales and comparisons

• 40,471,009,888,071,168 seconds is equal to 1,286,852,929 years, 20 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 40,471,009,888,071,168 would take you about three billion, eight hundred sixty million, five hundred fifty-eight thousand, seven 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 40471009888071168 cubic inches would be around 28611 feet tall.

Recreational maths with 40471009888071168

• 40471009888071168 backwards is 86117088890017404
• 40471009888071168 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40471009888071168's digits is 72
• More coming soon!