40442539656698432

Names of 40442539656698432

• Cardinal: 40442539656698432 can be written as Forty quadrillion, four hundred forty-two trillion, five hundred thirty-nine billion, six hundred fifty-six million, six hundred ninety-eight thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 4.0442539656698432 × 10¹⁶

Factors of 40442539656698432

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 915005

Divisors of 40442539656698432

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 67 88 107 121 134 176 214 242 268 352 428 484 536 704 737 797 856 968 1072 1177 1474 1594 1712 1936 2144 2354 2948 3188 3424 3872 4288 4708 5896 6376 6848 7169 7744 8107 8767 9416 11792 12752 12947 14338 16214 17534 18832 23584 25504 25894 28676 32428 35068 37664 47168 51008 51788 53399 57352 64856 70136 75328 78859 85279 96437 103576 106798 114704 129712 140272 157718 170558 192874 207152 213596 229408 259424 280544 315436 341116 385748 414304 427192 458816 518848 561088 587389 630872 682232 771496 828608 854384 867449 914021 938069 1174778 1261744 1364464 1542992 1708768 1734898 1828042 1876138 2349556 2523488 2728928 3085984 3417536 3469796 3656084 3752276 4699112 5046976 5457856 5713693 6171968 6461279 6939592 7312168 7504552 9398224 10054231 10318759 11427386 12922558 13879184 14624336 15009104 18796448 20108462 20637518 22854772 25845116 27758368 29248672 30018208 37592896 40216924 41275036 45709544 51690232 55516736 58497344 60036416 61239407 62850623 80433848 82550072 91419088 97800247 103380464 110596541 122478814 125701246 160867696 165100144 182838176 195600494 206760928 221193082 244957628 251402492 321735392 330200288 365676352 391200988 413521856 442386164 489915256 502804984 643470784 660400576 673633477 691356853 728474737 782401976 884772328 979830512 1005609968 1075802717 1347266954 1382713706 1456949474 1564803952 1769544656 1959661024 2011219936 2151605434 2694533908 2765427412 2913898948 3129607904 3539089312 3919322048 4022439872 4303210868 5389067816 5530854824 5827797896 6259215808 6552616549 7078178624 7409968247 8013222107 8606421736 10778135632 11061709648 11655595792 11833829887 13105233098 14819936494 16026444214 17212843472 21556271264 22123419296 23311191584 23667659774 26210466196 29639872988 32052888428 34425686944 43112542528 44246838592 46622383168 47335319548 48807807379 52420932392 59279745976 64105776856 68851373888 72078782039 77946796859 88145443177 94670639096 97615614758 104841864784 118559491952 128211553712 144157564078 155893593718 176290886354 189341278192 195231229516 209683729568 237118983904 256423107424 288315128156 311787187436 352581772708 378682556384 390462459032 419367459136 474237967808 512846214848 536885881169 576630256312 623574374872 705163545416 757365112768 780924918064 792866602429 857414765449 1073771762338 1153260512624 1247148749744 1410327090832 1561849836128 1585733204858 1714829530898 2147543524676 2306521025248 2494297499488 2820654181664 3123699672256 3171466409716 3429659061796 4295087049352 4613042050496 4988594998976 5222435389553 5641308363328 5905744692859 6342932819432 6859318123592 8590174098704 9431562419939 10444870779106 11811489385718 12685865638864 13718636247184 17180348197408 18863124839878 20889741558212 23622978771436 25371731277728 27437272494368 34360696394816 37726249679756 41779483116424 47245957542872 50743462555456 54874544988736 57446789285083 75452499359512 83558966232848 94491915085744 114893578570166 150904998719024 167117932465696 188983830171488 229787157140332 301809997438048 334235864931392 377967660342976 459574314280664 603619994876096 631914682135913 919148628561328 1263829364271826 1838297257122656 2527658728543652 3676594514245312 5055317457087304 10110634914174608 20221269828349216 40442539656698432
• Sum of all divisors σ(n): 90478953865468224
• Sum of proper divisors (its aliquot sum) s(n): 50036414208769792
• 40442539656698432 is an abundant number, because the sum of its proper divisors (50036414208769792) is greater than itself. Its abundance is 9593874552071360

Bases of 40442539656698432

• Binary: 10001111101011100100011010001010000011010101101001000000₂
• Hexadecimal: 0x8FAE468A0D5A40
• Base-36: B27OM8C61Q8

Squares and roots of 40442539656698432

• 40442539656698432 squared (40442539656698432²) is 1635599013883625326050526591258624
• 40442539656698432 cubed (40442539656698432³) is 66147777981445366508309119730383525460179287277568
• The square root of 40442539656698432 is 201103305.9317982271
• The cube root of 40442539656698432 is 343251.7868281289

Scales and comparisons

• 40,442,539,656,698,432 seconds is equal to 1,285,947,664 years, 4 weeks, 6 days, 7 hours, 20 minutes, 32 seconds.
• To count from 1 to 40,442,539,656,698,432 would take you about three billion, eight hundred fifty-seven million, eight hundred forty-two thousand, nine hundred ninety-two 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 40442539656698432 cubic inches would be around 28604.3 feet tall.

Recreational maths with 40442539656698432

• 40442539656698432 backwards is 23489665693524404
• The number of decimal digits it has is: 17
• The sum of 40442539656698432's digits is 80
• More coming soon!