106221319931684125

Names of 106221319931684125

• Cardinal: 106221319931684125 can be written as One hundred six quadrillion, two hundred twenty-one trillion, three hundred nineteen billion, nine hundred thirty-one million, six hundred eighty-four thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.06221319931684125 × 10¹⁷

Factors of 106221319931684125

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 202

Divisors of 106221319931684125

• Number of divisors d(n): 336
• Complete list of divisors:
  1 5 7 25 35 49 53 125 137 175 245 265 343 371 685 875 959 1225 1325 1715 1855 2401 2597 2809 3425 4795 6125 6625 6713 7261 8575 9275 12005 12985 14045 16807 17125 18179 18769 19663 23975 33565 36305 42875 46375 46991 50827 60025 64925 70225 84035 90895 93845 98315 117649 119875 127253 131383 137641 167825 181525 234955 254135 300125 324625 328937 351125 355789 384833 420175 454475 469225 491575 588245 636265 656915 688205 839125 890771 907625 919681 963487 994757 1174775 1270675 1644685 1778945 1924165 2100875 2272375 2302559 2346125 2457875 2490523 2571353 2693831 2941225 3181325 3284575 3441025 4453855 4598405 4817435 4973785 5873875 6235397 6353375 6437767 6744409 6963299 8223425 8894725 9620825 11512795 12452615 12856765 13469155 14706125 15906625 16117913 16422875 17205125 17433661 17999471 18856817 22269275 22992025 24087175 24868925 31176985 32188835 33722045 34816495 41117125 44473625 45064369 47210863 48104125 48743093 52722121 57563975 62263075 64283825 67345775 80589565 87168305 89997355 94284085 111346375 114960125 120435875 122035627 124344625 125996297 131997719 136281709 155884925 160944175 168610225 174082475 225321845 236054315 243715465 263610605 287819875 311315375 315450583 321419125 330476041 336728875 341201651 369054847 402947825 435841525 449986775 471420425 610178135 629981485 659988595 681408545 779424625 804720875 843051125 854249389 870412375 881974079 923984033 953971963 1126609225 1180271575 1218577325 1318053025 1577252915 1652380205 1706008255 1845274235 2014739125 2179207625 2208154081 2249933875 2357102125 2388411557 2583383929 3050890675 3149907425 3299942975 3407042725 4271246945 4409870395 4619920165 4769859815 5633046125 5901357875 6092886625 6173818553 6467888231 6590265125 6677803741 7222930577 7886264575 8261901025 8530041275 9226371175 11040770405 11942057785 12916919645 15254453375 15749537125 16499714875 16718880899 17035213625 18083687503 21356234725 22049351975 23099600825 23849299075 30869092765 32339441155 33389018705 36114652885 39431322875 41309505125 42650206375 43216729871 45275217617 46131855875 46744626187 50560514039 55203852025 59710288925 64584598225 83594404495 90418437515 106781173625 110246759875 115498004125 117032166293 119246495375 126585812521 154345463825 161697205775 166945093525 180573264425 216083649355 226376088085 233723130935 252802570195 276019260125 298551444625 302517109097 322922991125 327212383309 353923598273 417972022475 452092187575 585160831465 632929062605 771727319125 808486028875 834725467625 886100687647 902866322125 1080418246775 1131880440425 1168615654675 1264012850975 1512585545485 1636061916545 1769617991365 2089860112375 2260460937875 2290486683163 2477465187911 2925804157325 3164645313025 4430503438235 5402091233875 5659402202125 5843078273375 6202704813529 6320064254875 7562927727425 8180309582725 8848089956825 11452433415815 12387325939555 14629020786625 15823226565125 16033406782141 17342256315377 22152517191175 31013524067645 37814638637125 40901547913625 44240449784125 57262167079075 61936629697775 80167033910705 86711281576885 110762585955875 121395794207639 155067620338225 286310835395375 309683148488875 400835169553525 433556407884425 606978971038195 775338101691125 849770559453473 2004175847767625 2167782039422125 3034894855190975 4248852797267365 15174474275954875 21244263986336825 106221319931684125
• Sum of all divisors σ(n): 158790240968682960
• Sum of proper divisors (its aliquot sum) s(n): 52568921036998835
• 106221319931684125 is a deficient number, because the sum of its proper divisors (52568921036998835) is less than itself. Its deficiency is 53652398894685290

Bases of 106221319931684125

• Binary: 101111001010111111011101001001010000110011110010100011101₂
• Hexadecimal: 0x1795FBA4A19E51D
• Base-36: T1WBCPY47J1

Squares and roots of 106221319931684125

• 106221319931684125 squared (106221319931684125²) is 11282968808029195165757058777015625
• 106221319931684125 cubed (106221319931684125³) is 1198491839536881822326112089317721840346747689453125
• The square root of 106221319931684125 is 325916124.0744067959
• The cube root of 106221319931684125 is 473591.4987300781

Scales and comparisons

• 106,221,319,931,684,125 seconds is equal to 3,377,509,409 years, 37 weeks, 5 hours, 35 minutes, 25 seconds.
• To count from 1 to 106,221,319,931,684,125 would take you about ten billion, one hundred thirty-two million, five hundred twenty-eight thousand, two hundred twenty-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 106221319931684125 cubic inches would be around 39466 feet tall.

Recreational maths with 106221319931684125

• 106221319931684125 backwards is 521486139913122601
• The number of decimal digits it has is: 18
• The sum of 106221319931684125's digits is 64
• More coming soon!