349969025998048125

Names of 349969025998048125

• Cardinal: 349969025998048125 can be written as Three hundred forty-nine quadrillion, nine hundred sixty-nine trillion, twenty-five billion, nine hundred ninety-eight million, forty-eight thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 3.49969025998048125 × 10¹⁷

Factors of 349969025998048125

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 305

Divisors of 349969025998048125

• Number of divisors d(n): 300
• Complete list of divisors:
  1 3 5 15 25 31 75 93 125 127 139 155 375 381 417 465 625 635 695 775 1875 1905 2085 2325 3175 3475 3875 3937 4309 9525 10425 11625 11811 12927 15875 16129 17375 17653 19321 19375 19685 21545 47625 48387 52125 52959 57963 58125 59055 64635 79375 80645 86875 88265 96605 98425 107725 238125 241935 260625 264795 289815 295275 323175 403225 441325 483025 492125 499999 538625 547243 598951 1209675 1323975 1449075 1476375 1499997 1615875 1641729 1796853 2016125 2206625 2241931 2415125 2453767 2460625 2499995 2685619 2693125 2736215 2994755 6048375 6619875 6725793 7245375 7361301 7381875 7499985 8056857 8079375 8208645 8984265 10080625 11033125 11209655 12075625 12268835 12499975 13428095 13681075 14973775 30241875 33099375 33628965 36226875 36806505 37499925 40284285 41043225 44921325 56048275 61344175 62499875 67140475 68405375 69499861 74868875 76066777 83254189 168144825 184032525 187499625 201421425 205216125 208499583 224606625 228200331 249762567 280241375 306720875 311628409 312499375 335702375 341073613 342026875 347499305 373301041 374344375 380333885 416270945 840724125 920162625 934885227 937498125 1007107125 1023220839 1026080625 1042497915 1119903123 1123033125 1141001655 1248812835 1401206875 1533604375 1558142045 1678511875 1705368065 1737496525 1866505205 1901669425 2081354725 4203620625 4600813125 4674426135 5035535625 5116104195 5212489575 5599515615 5705008275 6244064175 7790710225 8526840325 8687482625 9332526025 9508347125 9660480679 10406773625 10573282003 11572332271 23372130675 25580520975 26062447875 27997578075 28525041375 28981442037 31220320875 31719846009 34716996813 38953551125 42634201625 43316348851 43437413125 46662630125 47409232207 47541735625 48302403395 52033868125 52866410015 57861661355 116860653375 127902604875 129949046553 130312239375 139987890375 142227696621 142625206875 144907210185 156101604375 158599230045 173584984065 194767755625 213171008125 216581744255 233313150625 237046161035 241512016975 264332050075 289308306775 584303266875 639513024375 649745232765 699939451875 711138483105 724536050925 792996150225 867924920325 1082908721275 1185230805175 1207560084875 1321660250375 1342806814381 1446541533875 1469686198417 3248726163825 3555692415525 3622680254625 3964980751125 4028420443143 4339624601625 4409058595251 5414543606375 5926154025875 6020972490289 6037800424375 6608301251875 6714034071905 7232707669375 7348430992085 16243630819125 17778462077625 18062917470867 18113401273125 19824903755625 20142102215715 21698123008125 22045292976255 27072718031875 29630770129375 30104862451445 33570170359525 36742154960425 81218154095625 88892310388125 90314587354335 100710511078575 110226464881275 150524312257225 167850851797625 183710774802125 186650147198959 451572936771675 503552555392875 551132324406375 559950441596877 752621561286125 839254258988125 918553874010625 933250735994795 2257864683858375 2517762776964375 2755661622031875 2799752207984385 3763107806430625 4666253679973975 11289323419291875 13998761039921925 23331268399869875 69993805199609625 116656341999349375 349969025998048125
• Sum of all divisors σ(n): 611077543501408896
• Sum of proper divisors (its aliquot sum) s(n): 261108517503360771
• 349969025998048125 is a deficient number, because the sum of its proper divisors (261108517503360771) is less than itself. Its deficiency is 88860508494687354

Bases of 349969025998048125

• Binary: 10011011011010101101111100110010101000000001100101101111101₂
• Hexadecimal: 0x4DB56F99500CB7D
• Base-36: 2NPXNZ1ER9ML

Squares and roots of 349969025998048125

• 349969025998048125 squared (349969025998048125²) is 122478319158022484414756309816015625
• 349969025998048125 cubed (349969025998048125³) is 42863618061611206587525880636898175009809114501953125
• The square root of 349969025998048125 is 591581799.9212350051
• The cube root of 349969025998048125 is 704709.0837318091

Scales and comparisons

• 349,969,025,998,048,125 seconds is equal to 11,127,932,501 years, 24 weeks, 23 hours, 8 minutes, 45 seconds.
• To count from 1 to 349,969,025,998,048,125 would take you about thirty-three billion, three hundred eighty-three million, seven hundred ninety-seven thousand, five hundred four 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 349969025998048125 cubic inches would be around 58725.8 feet tall.

Recreational maths with 349969025998048125

• 349969025998048125 backwards is 521840899520969943
• 349969025998048125 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 349969025998048125's digits is 93
• More coming soon!