42819991137166400

Names of 42819991137166400

• Cardinal: 42819991137166400 can be written as Forty-two quadrillion, eight hundred nineteen trillion, nine hundred ninety-one billion, one hundred thirty-seven million, one hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.28199911371664 × 10¹⁶

Factors of 42819991137166400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 110147

Divisors of 42819991137166400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 160 173 200 244 305 320 346 400 488 610 692 800 865 976 1220 1384 1525 1600 1730 1952 2440 2768 3050 3460 3904 4325 4880 5536 6100 6920 8650 9760 10553 11072 12200 13840 17300 19520 21106 24400 27680 32957 34600 42212 48800 52765 55360 65914 69200 76949 84424 97600 105530 131828 138400 153898 164785 168848 211060 263656 263825 276800 307796 329570 337696 384745 422120 527312 527650 615592 659140 675392 769490 823925 844240 1054624 1055300 1231184 1318280 1538980 1647850 1688480 1923725 2010377 2109248 2110600 2462368 2636560 3077960 3295700 3376960 3847450 4020754 4221200 4693889 4924736 5273120 5701561 6155920 6591400 7694900 8041508 8442400 9387778 10051885 10546240 11403122 12311840 13182800 13312177 15389800 16083016 16884800 18775556 20103770 22806244 23469445 24623680 26365600 26624354 28507805 30779600 32166032 37551112 40207540 45612488 46938890 50259425 52731200 53248708 57015610 61559200 64332064 66560885 75102224 80415080 91224976 93877780 100518850 106497416 114031220 117347225 123118400 128664128 133121770 142539025 150204448 160830160 182449952 187755560 201037700 212994832 228062440 234694450 266243540 285078050 300408896 321660320 332804425 347795221 364899904 375511120 402075400 425989664 456124880 469388900 532487080 570156100 643320640 665608850 695590442 751022240 804150800 812042797 851979328 912249760 938777800 1064974160 1140312200 1331217700 1391180884 1502044480 1608301600 1624085594 1738976105 1824499520 1877555600 2129948320 2280624400 2536008193 2662435400 2782361768 3216603200 3248171188 3477952210 3755111200 4060213985 4259896640 4561248800 5072016386 5324870800 5564723536 6496342376 6955904420 7510222400 8120427970 8694880525 9122497600 10144032772 10649741600 11129447072 12680040965 12992684752 13911808840 16240855940 17389761050 20288065544 20301069925 21299483200 22258894144 25360081930 25985369504 27823617680 32481711880 34779522100 40576131088 40602139850 50720163860 51970739008 55647235360 63400204825 64963423760 69559044200 81152262176 81204279700 101440327720 111294470720 126800409650 129926847520 139118088400 154696499773 162304524352 162408559400 202880655440 253600819300 259853695040 278236176800 309392999546 324817118800 405761310880 438729417389 507201638600 556472353600 618785999092 649634237600 773482498865 811522621760 877458834778 1014403277200 1237571998184 1299268475200 1546964997730 1754917669556 2028806554400 2193647086945 2475143996368 3093929995460 3509835339112 3867412494325 4057613108800 4387294173890 4950287992736 6187859990920 7019670678224 7734824988650 8774588347780 9900575985472 10968235434725 12375719981840 14039341356448 15469649977300 17549176695560 21936470869450 24751439963680 26762494460729 28078682712896 30939299954600 35098353391120 43872941738900 49502879927360 53524988921458 61878599909200 70196706782240 87745883477800 107049977842916 123757199818400 133812472303645 140393413564480 175491766955600 214099955685832 247514399636800 267624944607290 350983533911200 428199911371664 535249889214580 669062361518225 701967067822400 856399822743328 1070499778429160 1338124723036450 1712799645486656 2140999556858320 2676249446072900 4281999113716640 5352498892145800 8563998227433280 10704997784291600 21409995568583200 42819991137166400
• Sum of all divisors σ(n): 107714910801243600
• Sum of proper divisors (its aliquot sum) s(n): 64894919664077200
• 42819991137166400 is an abundant number, because the sum of its proper divisors (64894919664077200) is greater than itself. Its abundance is 22074928526910800

Bases of 42819991137166400

• Binary: 10011000001000001000111000011001000001000010010001000000₂
• Hexadecimal: 0x98208E19042440
• Base-36: BPMF4D3NRY8

Squares and roots of 42819991137166400

• 42819991137166400 squared (42819991137166400²) is 1833551640987009045819421288960000
• 42819991137166400 cubed (42819991137166400³) is 78512665016600636267186684800960667650002944000000
• The square root of 42819991137166400 is 206929918.4196582049
• The cube root of 42819991137166400 is 349850.2519587069

Scales and comparisons

• 42,819,991,137,166,400 seconds is equal to 1,361,543,267 years, 12 weeks, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,819,991,137,166,400 would take you about four billion, eighty-four million, six hundred twenty-nine thousand, eight hundred one 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 42819991137166400 cubic inches would be around 29154.2 feet tall.

Recreational maths with 42819991137166400

• 42819991137166400 backwards is 00466173119991824
• The number of decimal digits it has is: 17
• The sum of 42819991137166400's digits is 71
• More coming soon!