12973717305730125

Names of 12973717305730125

• Cardinal: 12973717305730125 can be written as Twelve quadrillion, nine hundred seventy-three trillion, seven hundred seventeen billion, three hundred five million, seven hundred thirty thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.2973717305730125 × 10¹⁶

Factors of 12973717305730125

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 465

Divisors of 12973717305730125

• Number of divisors d(n): 512
• Complete list of divisors:
  1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 125 133 135 171 175 189 225 285 315 361 375 399 431 475 513 525 665 675 855 875 945 1083 1125 1197 1293 1425 1575 1805 1995 2155 2375 2527 2565 2625 3017 3249 3325 3375 3591 3879 4275 4725 5415 5985 6465 6859 7125 7581 7875 8189 9025 9051 9747 9975 10775 11637 12635 12825 15085 16245 16625 17955 19395 20577 21375 22743 23625 24567 27075 27153 29925 32325 34295 37905 40945 45125 45255 48013 48735 49875 53875 57323 58185 61731 63175 64125 68229 73701 75425 81225 81459 89775 96975 102885 113715 122835 135375 135765 144039 149625 155591 161625 171475 171969 185193 185761 189525 204725 221103 226275 240065 243675 286615 290925 308655 315875 341145 368505 377125 406125 407295 432117 448875 466773 484875 514425 515907 557283 568575 614175 678825 720195 777955 857375 859845 925965 928805 947625 1023625 1089137 1105515 1131375 1200325 1218375 1296351 1300327 1400319 1433075 1454625 1543275 1547721 1671849 1705725 1842525 2036475 2160585 2333865 2572125 2579535 2786415 2842875 2956229 3070875 3267411 3394125 3529459 3600975 3889775 3900981 4200957 4299225 4629825 4644025 5015547 5445685 5527575 6001625 6481755 6501635 7001595 7165375 7716375 7738605 8359245 8528625 8868687 9212625 9802233 10182375 10588377 10802925 11669325 11702943 12897675 13932075 14781145 16337055 17647295 18004875 19448875 19504905 20693603 21004785 21496125 23149125 23220125 24706213 25077735 26606061 27228425 27637875 29406699 31765131 32408775 32508175 35007975 35108829 38693025 41796225 44343435 49011165 52941885 54014625 58346625 58514715 62080809 64488375 67059721 69660375 73905725 74118639 79818183 80062991 81685275 88236475 95295393 97524525 103468015 105023925 123531065 125388675 133030305 136142125 147033495 158825655 162043875 162540875 175039875 175544145 186242427 193465125 201179163 208981125 221717175 222355917 240188973 245055825 264709425 292573575 310404045 335298605 369528625 370593195 399090915 400314955 408426375 441182375 469418047 476476965 487622625 517340075 525119625 558727281 560440937 603537489 617655325 626943375 665151525 667067751 720566919 735167475 794128275 877720725 931212135 1005895815 1108585875 1111779585 1200944865 1225279125 1274134699 1323547125 1408254141 1462867875 1521196829 1552020225 1676493025 1681322811 1810612467 1852965975 1995454575 2001574775 2161700757 2347090235 2382384825 2586700375 2793636405 2802204685 3017687445 3088276625 3325757625 3335338755 3602834595 3675837375 3822404097 3970641375 4224762423 4388603625 4563590487 4656060675 5029479075 5043968433 5558897925 6004724325 6370673495 7041270705 7605984145 7760101125 8382465125 8406614055 8918942893 9053062335 9264829875 9977272875 10007873875 10648377803 10808503785 11467212291 11735451175 11911924125 12674287269 13690771461 13968182025 14011023425 15088437225 15131905299 16676693775 18014172975 19112020485 21123812115 22817952435 23280303375 25147395375 25219842165 26756828679 27794489625 28902739751 30023621625 31853367475 31945133409 34401636873 35206353525 38029920725 41072314383 42033070275 44594714465 45265311675 53241889015 54042518925 57336061455 58677255875 63371436345 68453857305 69840910125 70055117125 75442186125 75659526495 80270486037 83383468875 86708219253 90070864875 95560102425 95835400227 105619060575 114089762175 126099210825 133784143395 144513698755 159266837375 159725667045 172008184365 176031767625 190149603625 202319178257 205361571915 210165351375 222973572325 226326558375 240811458111 260124657759 266209445075 270212594625 286680307275 287506200681 316857181725 342269286525 378297632475 401352430185 433541096265 477800512125 479177001135 528095302875 549152055269 570448810875 606957534771 630496054125 668920716975 722568493775 780373973277 798628335225 860040921825 1011595891285 1026807859575 1114867861625 1204057290555 1300623288795 1331047225375 1433401536375 1437531003405 1584285908625 1647456165807 1711346432625 1820872604313 1891488162375 2006762150925 2167705481325 2395885005675 2745760276345 3034787673855 3344603584875 3612842468875 3844064386883 3901869866385 3993141676125 4300204609125 4942368497421 5057979456425 5134039297875 5462617812939 6020286452775 6503116443975 7187655017025 8237280829035 9104363021565 10033810754625 10838527406625 11532193160649 11979425028375 13728801381725 14827105492263 15173938369275 19220321934415 19509349331925 24711842487105 25289897282125 27313089064695 30101432263875 32515582219875 34596579481947 35938275085125 41186404145175 45521815107825 57660965803245 68644006908625 74135527461315 75869691846375 96101609672075 97546746659625 103789738445841 123559212435525 136565445323475 172982897409735 205932020725875 227609075539125 288304829016225 370677637306575 480508048360375 518948692229205 617796062177625 682827226617375 864914487048675 1441524145081125 1853388186532875 2594743461146025 4324572435243375 12973717305730125
• Sum of all divisors σ(n): 29003724280627200
• Sum of proper divisors (its aliquot sum) s(n): 16030006974897075
• 12973717305730125 is an abundant number, because the sum of its proper divisors (16030006974897075) is greater than itself. Its abundance is 3056289669166950

Bases of 12973717305730125

• Binary: 101110000101111000011011110011011011001010010001001101₂
• Hexadecimal: 0x2E1786F36CA44D
• Base-36: 3JQSRG8DL59

Squares and roots of 12973717305730125

• 12973717305730125 squared (12973717305730125²) is 168317340729001333720159332515625
• 12973717305730125 cubed (12973717305730125³) is 2183701596270318617053073258397644578043595703125
• The square root of 12973717305730125 is 113902226.9568515723
• The cube root of 12973717305730125 is 234974.9018358465

Scales and comparisons

• 12,973,717,305,730,125 seconds is equal to 412,524,079 years, 50 weeks, 6 days, 14 hours, 48 minutes, 45 seconds.
• To count from 1 to 12,973,717,305,730,125 would take you about one billion, two hundred thirty-seven million, five hundred seventy-two thousand, two hundred thirty-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 12973717305730125 cubic inches would be around 19581.2 feet tall.

Recreational maths with 12973717305730125

• 12973717305730125 backwards is 52103750371737921
• 12973717305730125 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12973717305730125's digits is 63
• More coming soon!