26981978031974800

Names of 26981978031974800

• Cardinal: 26981978031974800 can be written as Twenty-six quadrillion, nine hundred eighty-one trillion, nine hundred seventy-eight billion, thirty-one million, nine hundred seventy-four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.69819780319748 × 10¹⁶

Factors of 26981978031974800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 318

Divisors of 26981978031974800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 40 50 53 79 80 100 106 158 179 200 212 265 316 358 395 400 424 530 632 716 790 848 895 1060 1264 1325 1432 1580 1790 1975 2120 2650 2809 2864 3160 3580 3950 4187 4240 4475 5300 5618 6320 7160 7900 8374 8950 9487 10600 11236 14045 14141 14320 15800 16748 17900 18974 20935 21200 22472 28090 28282 31600 32041 33496 35800 37948 41870 44944 47435 56180 56564 64082 66992 70225 70705 71600 75896 83740 94870 104675 112360 113128 128164 140450 141410 148877 151792 160205 167480 189740 209350 221911 224720 226256 237175 256328 280900 282820 297754 320410 334960 353525 379480 418700 443822 474350 502811 512656 561800 565640 595508 640820 707050 744385 749473 758960 801025 837400 887644 948700 1005622 1109555 1123600 1131280 1191016 1281640 1414100 1488770 1498946 1602050 1674800 1698173 1775288 1897400 2011244 2219110 2382032 2514055 2531239 2563280 2828200 2977540 2997892 3204100 3396346 3550576 3721925 3747365 3794800 4022488 4438220 5028110 5062478 5547775 5656400 5735339 5955080 5995784 6408200 6792692 7443850 7494730 8044976 8490865 8876440 10056220 10124956 11095550 11470678 11761283 11910160 11991568 12570275 12656195 12816400 13585384 14887700 14989460 16981730 17752880 18736825 20112440 20249912 22191100 22941356 23522566 25140550 25312390 26648983 27170768 28676695 29775400 29978920 33963460 37473650 39722069 40224880 40499824 42454325 44382200 45882712 47045132 50281100 50624780 53297966 57353390 58806415 59550800 59957840 63280975 67926920 74947300 79444138 84908650 88764400 90003169 91765424 94090264 100562200 101249560 106595932 114706780 117612830 126561950 133244915 134155667 135853840 143383475 149894600 158888276 169817300 180006338 188180528 198610345 201124400 202499120 213191864 229413560 235225660 253123900 266489830 268311334 286766950 294032075 299789200 303972967 317776552 339634600 360012676 397220690 426383728 450015845 453091781 458827120 470451320 506247800 532979660 536622668 573533900 588064150 607945934 635553104 666224575 670778335 679269200 720025352 794441380 900031690 906183562 940902640 993051725 1012495600 1065959320 1073245336 1147067800 1176128300 1215891868 1332449150 1341556670 1440050704 1519864835 1588882760 1800063380 1812367124 1986103450 2105269657 2131918640 2146490672 2250079225 2265458905 2294135600 2352256600 2431783736 2664898300 2683113340 3039729670 3177765520 3353891675 3600126760 3624734248 3972206900 4210539314 4500158450 4530917810 4704513200 4770167957 4863567472 5329796600 5366226680 6079459340 6707783350 7110250351 7200253520 7249468496 7599324175 7944413800 8421078628 9000316900 9061835620 9540335914 10526348285 10659593200 10732453360 11327294525 12158918680 13415566700 14220500702 15198648350 15888827600 16110567251 16842157256 18000633800 18123671240 19080671828 21052696570 22654589050 23850839785 24013864393 24317837360 26831133400 28441001404 30397296700 32221134502 33684314512 35551251755 36001267600 36247342480 38161343656 42105393140 45309178100 47701679570 48027728786 52631741425 53662266800 56882002808 60794593400 64442269004 71102503510 76322687312 80552836255 84210786280 90618356200 95403359140 96055457572 105263482850 113764005616 119254198925 120069321965 121589186800 128884538008 142205007020 161105672510 168421572560 177756258775 181236712400 190806718280 192110915144 210526965700 238508397850 240138643930 257769076016 284410014040 322211345020 355512517550 376843268603 381613436560 384221830288 402764181275 421053931400 477016795700 480277287860 568820028080 600346609825 644422690040 711025035100 753686537206 805528362550 842107862800 853860064303 954033591400 960554575720 1200693219650 1272734812829 1288845380080 1422050070200 1507373074412 1611056725100 1707720128606 1884216343015 1908067182800 1921109151440 2401386439300 2545469625658 2844100140400 3014746148824 3222113450200 3415440257212 3768432686030 4269300321515 4802772878600 5090939251316 6029492297648 6363674064145 6444226900400 6830880514424 7536865372060 8538600643030 9421081715075 9605545757200 10181878502632 12727348128290 13661761028848 15073730744120 17077201286060 18842163430150 20363757005264 21346501607575 25454696256580 30147461488240 31818370320725 34154402572120 37684326860300 42693003215150 50909392513160 63636740641450 67454945079937 68308805144240 75368653720600 85386006430300 101818785026320 127273481282900 134909890159874 150737307441200 170772012860600 254546962565800 269819780319748 337274725399685 341544025721200 509093925131600 539639560639496 674549450799370 1079279121278992 1349098901598740 1686373626998425 2698197803197480 3372747253996850 5396395606394960 6745494507993700 13490989015987400 26981978031974800
• Sum of all divisors σ(n): 67283035342272000
• Sum of proper divisors (its aliquot sum) s(n): 40301057310297200
• 26981978031974800 is an abundant number, because the sum of its proper divisors (40301057310297200) is greater than itself. Its abundance is 13319079278322400

Bases of 26981978031974800

• Binary: 1011111110110111111011101001111111011101110100110010000₂
• Hexadecimal: 0x5FDBF74FEEE990
• Base-36: 7DOB9L67JPS

Squares and roots of 26981978031974800

• 26981978031974800 squared (26981978031974800²) is 728027138517970701331187835040000
• 26981978031974800 cubed (26981978031974800³) is 19643612258173360216647090459841373907836992000000
• The square root of 26981978031974800 is 164261918.9951669839
• The cube root of 26981978031974800 is 299933.2371137693

Scales and comparisons

• 26,981,978,031,974,800 seconds is equal to 857,943,440 years, 35 weeks, 2 days, 2 hours, 46 minutes, 40 seconds.
• To count from 1 to 26,981,978,031,974,800 would take you about two billion, five hundred seventy-three million, eight hundred thirty thousand, three hundred twenty-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 26981978031974800 cubic inches would be around 24994.4 feet tall.

Recreational maths with 26981978031974800

• 26981978031974800 backwards is 00847913087918962
• The number of decimal digits it has is: 17
• The sum of 26981978031974800's digits is 82
• More coming soon!