3428120684424800

Names of 3428120684424800

• Cardinal: 3428120684424800 can be written as Three quadrillion, four hundred twenty-eight trillion, one hundred twenty billion, six hundred eighty-four million, four hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 3.4281206844248 × 10¹⁵

Factors of 3428120684424800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 870602

Divisors of 3428120684424800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 113 130 140 160 175 182 200 208 224 226 260 280 325 350 364 400 416 452 455 479 520 560 565 650 700 728 791 800 904 910 958 1040 1120 1130 1300 1400 1456 1469 1582 1808 1820 1916 2080 2260 2275 2395 2600 2800 2825 2912 2938 3164 3353 3616 3640 3832 3955 4520 4550 4790 5200 5600 5650 5876 6227 6328 6706 7280 7345 7664 7910 9040 9100 9580 10283 10400 11300 11752 11975 12454 12656 13412 14560 14690 15328 15820 16765 18080 18200 19160 19775 20566 22600 23504 23950 24908 25312 26824 29380 31135 31640 33530 36400 36725 38320 39550 41132 43589 45200 47008 47900 49816 51415 53648 54127 58760 62270 63280 67060 72800 73450 76640 79100 82264 83825 87178 90400 95800 99632 102830 107296 108254 117520 124540 126560 134120 146900 155675 158200 164528 167650 174356 191600 199264 205660 216508 217945 235040 249080 257075 268240 270635 293800 311350 316400 329056 335300 348712 378889 383200 411320 433016 435890 498160 514150 536480 541270 587600 622700 632800 670600 697424 703651 757778 822640 866032 869983 871780 996320 1028300 1082540 1089725 1175200 1245400 1341200 1353175 1394848 1407302 1515556 1645280 1732064 1739966 1743560 1894445 2056600 2165080 2179450 2490800 2682400 2706350 2814604 3031112 3479932 3487120 3518255 3788890 4113200 4330160 4349915 4358900 4925557 4981600 5412700 5629208 6062224 6089881 6959864 6974240 7036510 7577780 8226400 8660320 8699830 8717800 9472225 9851114 10825400 11258416 11309779 12124448 12179762 13919728 14073020 15155560 17399660 17435600 17591275 18944450 19702228 21650800 21749575 22516832 22619558 24359524 24627785 27839456 28146040 30311120 30449405 34799320 34871200 35182550 37888900 39404456 43301600 43499150 45239116 48719048 49255570 56292080 56548895 60622240 60898810 69598640 70365100 75777800 78808912 79168453 86998300 90478232 97438096 98308079 98511140 112584160 113097790 121797620 123138925 139197280 140730200 151555600 152247025 157617824 158336906 173996600 180956464 194876192 196616158 197022280 226195580 243595240 246277850 281460400 282744475 303111200 304494050 316673812 347993200 361912928 393232316 394044560 395842265 416721857 452391160 487190480 491540395 492555700 562920800 565488950 608988100 633347624 688156553 695986400 786464632 788089120 791684530 833443714 904782320 974380960 983080790 985111400 1130977900 1217976200 1266695248 1278005027 1376313106 1572929264 1583369060 1666887428 1809564640 1966161580 1970222800 1979211325 2083609285 2261955800 2435952400 2457701975 2533390496 2556010054 2752626212 2917052999 3145858528 3166738120 3333774856 3440782765 3932323160 3940445600 3958422650 4167218570 4523911600 4871904800 4915403950 5112020108 5417384141 5505252424 5834105998 6333476240 6390025135 6667549712 6881565530 7864646320 7916845300 8334437140 8946035189 9047823200 9830807900 10224040216 10418046425 10834768282 11010504848 11668211996 12666952480 12780050270 13335099424 13763131060 14585264995 15729292640 15833690600 16668874280 17203913825 17892070378 19661615800 20448080432 20836092850 21669536564 22021009696 23336423992 25560100540 27086920705 27526262120 29170529990 31667381200 31950125675 33337748560 34407827650 35784140756 37921688987 39323231600 40896160864 41672185700 43339073128 44730175945 46672847984 47089569841 51120201080 54173841410 55052524240 58341059980 63334762400 63900251350 66675497120 68815655300 71568281512 72926324975 75843377974 78646463200 83344371400 86678146256 89460351890 93345695968 94179139682 102240402160 108347682820 110105048480 116682119960 127800502700 135434603525 137631310600 143136563024 145852649950 151686755948 166688742800 173356292512 178920703780 188358279364 189608444935 204480804320 216695365640 223650879725 233364239920 235447849205 255601005400 270869207050 275262621200 286273126048 291705299900 303373511896 329626988887 333377485600 357841407560 376716558728 379216889870 433390731280 447301759450 466728479840 470895698410 511202010800 541738414100 550525242400 583410599800 606747023792 612164407933 659253977774 715682815120 753433117456 758433779740 866781462560 894603518900 941791396820 948042224675 1022404021600 1083476828200 1166821199600 1177239246025 1213494047584 1224328815866 1318507955548 1431365630240 1506866234912 1516867559480 1648134944435 1789207037800 1883582793640 1896084449350 2166953656400 2333642399200 2354478492050 2448657631732 2637015911096 3033735118960 3060822039665 3296269888870 3578414075600 3767165587280 3792168898700 4285150855531 4333907312800 4708956984100 4897315263464 5274031822192 6067470237920 6121644079330 6592539777740 7156828151200 7534331174560 7584337797400 8240674722175 8570301711062 9417913968200 9794630526928 10548063644384 12243288158660 13185079555480 15168675594800 15304110198325 16481349444350 17140603422124 18835827936400 19589261053856 21425754277655 24486576317320 26370159110960 30337351189600 30608220396650 32962698888700 34281206844248 37671655872800 42851508555310 48973152634640 52740318221920 61216440793300 65925397777400 68562413688496 85703017110620 97946305269280 107128771388275 122432881586600 131850795554800 137124827376992 171406034221240 214257542776550 244865763173200 263701591109600 342812068442480 428515085553100 489731526346400 685624136884960 857030171106200 1714060342212400 3428120684424800
• Sum of all divisors σ(n): 10413042002657280
• Sum of proper divisors (its aliquot sum) s(n): 6984921318232480
• 3428120684424800 is an abundant number, because the sum of its proper divisors (6984921318232480) is greater than itself. Its abundance is 3556800633807680

Bases of 3428120684424800

• Binary: 1100001011011101101110001011101001000110111001100000₂
• Hexadecimal: 0xC2DDB8BA46E60
• Base-36: XR60WG1X7K

Squares and roots of 3428120684424800

• 3428120684424800 squared (3428120684424800²) is 11752011426981159189306855040000
• 3428120684424800 cubed (3428120684424800³) is 40287313456430721949341097809231199380992000000
• The square root of 3428120684424800 is 58550155.2895020083
• The cube root of 3428120684424800 is 150782.8799868679

Scales and comparisons

• 3,428,120,684,424,800 seconds is equal to 109,003,633 years, 46 weeks, 2 days, 9 hours, 33 minutes, 20 seconds.
• To count from 1 to 3,428,120,684,424,800 would take you about three hundred twenty-seven million, ten thousand, nine 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 3428120684424800 cubic inches would be around 12565.2 feet tall.

Recreational maths with 3428120684424800

• 3428120684424800 backwards is 0084244860218243
• 3428120684424800 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3428120684424800's digits is 56
• More coming soon!