13123881800056152000

Names of 13123881800056152000

• Cardinal: 13123881800056152000 can be written as Thirteen quintillion, one hundred twenty-three quadrillion, eight hundred eighty-one trillion, eight hundred billion, fifty-six million, one hundred fifty-two thousand.

Scientific notation

• Scientific notation: 1.3123881800056152 × 10¹⁹

Factors of 13123881800056152000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 39323

Divisors of 13123881800056152000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 675 720 750 800 864 900 960 1000 1080 1125 1200 1350 1440 1500 1600 1728 1800 2000 2160 2250 2400 2700 2880 3000 3375 3600 4000 4320 4500 4800 5400 6000 6750 7200 8000 8640 9000 10800 12000 13500 14400 18000 21600 24000 27000 36000 39313 43200 54000 72000 78626 108000 117939 157252 196565 216000 235878 314504 353817 393130 471756 589695 629008 707634 786260 943512 982825 1061451 1179390 1258016 1415268 1572520 1769085 1887024 1965650 2122902 2358780 2516032 2830536 2948475 3145040 3538170 3774048 3931300 4245804 4717560 4914125 5307255 5661072 5896950 6290080 7076340 7548096 7862600 8491608 8845425 9435120 9828250 10614510 11322144 11793900 12580160 14152680 14742375 15725200 16983216 17690850 18870240 19656500 21229020 22644288 23587800 26536275 28305360 29484750 31450400 33966432 35381700 37740480 39313000 42458040 44227125 47175600 53072550 56610720 58969500 62900800 67932864 70763400 78626000 84916080 88454250 94351200 106145100 113221440 117939000 132681375 141526800 157252000 169832160 176908500 188702400 212290200 235878000 265362750 283053600 314504000 339664320 353817000 424580400 471756000 530725500 566107200 707634000 849160800 943512000 1061451000 1415268000 1545511969 1698321600 2122902000 2830536000 3091023938 4245804000 4636535907 6182047876 7727559845 8491608000 9273071814 12364095752 13909607721 15455119690 18546143628 23182679535 24728191504 27819215442 30910239380 37092287256 38637799225 41728823163 46365359070 49456383008 55638430884 61820478760 69548038605 74184574512 77275598450 83457646326 92730718140 98912766016 111276861768 115913397675 123640957520 139096077210 148369149024 154551196900 166915292652 185461436280 193188996125 208644115815 222553723536 231826795350 247281915040 278192154420 296738298048 309102393800 333830585304 347740193025 370922872560 386377992250 417288231630 445107447072 463653590700 494563830080 556384308840 579566988375 618204787600 667661170608 695480386050 741845745120 772755984500 834576463260 890214894144 927307181400 1043220579075 1112768617680 1159133976750 1236409575200 1335322341216 1390960772100 1483691490240 1545511969000 1669152926520 1738700965125 1854614362800 2086441158150 2225537235360 2318267953500 2472819150400 2670644682432 2781921544200 3091023938000 3338305853040 3477401930250 3709228725600 4172882316300 4451074470720 4636535907000 5216102895375 5563843088400 6182047876000 6676611706080 6954803860500 7418457451200 8345764632600 9273071814000 10432205790750 11127686176800 12364095752000 13353223412160 13909607721000 16691529265200 18546143628000 20864411581500 22255372353600 27819215442000 33383058530400 37092287256000 41728823163000 55638430884000 66766117060800 83457646326000 111276861768000 166915292652000 333830585304000
• Sum of all divisors σ(n): 13124772787951599840
• Sum of proper divisors (its aliquot sum) s(n): 890987895447840
• 13123881800056152000 is a deficient number, because the sum of its proper divisors (890987895447840) is less than itself. Its deficiency is 13122990812160704160

Bases of 13123881800056152000

• Binary: 1011011000100001011001001111011010111110100011111001111111000000₂
• Hexadecimal: 0xB62164F6BE8F9FC0
• Base-36: 2RPIZTV9ASMO0

Squares and roots of 13123881800056152000

• 13123881800056152000 squared (13123881800056152000²) is 172236273501845104421670353047104000000
• 13123881800056152000 cubed (13123881800056152000³) is 2260408495120358643568334678257948361971500983808000000000
• The square root of 13123881800056152000 is 3622689857.0062759377
• 13123881800056152000 is a perfect cube number. Its cube root is 2358780

Scales and comparisons

• 13,123,881,800,056,152,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,123,881,800,056,152,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13123881800056152000 cubic inches would be around 196565 feet tall.

Recreational maths with 13123881800056152000

• 13123881800056152000 backwards is 00025165000818832131
• 13123881800056152000 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 13123881800056152000's digits is 54
• More coming soon!