680188010862031000

Names of 680188010862031000

• Cardinal: 680188010862031000 can be written as Six hundred eighty quadrillion, one hundred eighty-eight trillion, ten billion, eight hundred sixty-two million, thirty-one thousand.

Scientific notation

• Scientific notation: 6.80188010862031 × 10¹⁷

Factors of 680188010862031000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1480

Divisors of 680188010862031000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 457 500 700 875 914 1000 1009 1400 1750 1828 2018 2285 3199 3500 3656 4036 4570 5045 6398 7000 7063 8072 9140 10090 11425 12796 14126 15995 18280 20180 22850 25225 25592 28252 31990 35315 40360 45700 50450 56504 57125 63980 70630 79975 91400 100900 114250 126125 127960 141260 159950 176575 201800 208849 228500 252250 282520 319900 353150 399875 417698 457000 461113 504500 639800 706300 799750 835396 882875 922226 1009000 1018081 1044245 1412600 1461943 1599500 1670792 1765750 1844452 2036162 2088490 2305565 2923886 3199000 3227791 3531500 3688904 4072324 4176980 4611130 5090405 5221225 5847772 6455582 7063000 7126567 7309715 8144648 8353960 9222260 10180810 10442450 11527825 11695544 12911164 14253134 14619430 16138955 18444520 20361620 20884900 23055650 25452025 25822328 26106125 28506268 29238860 32277910 35632835 36548575 40723240 41769800 46111300 50904050 52212250 57012536 57639125 58477720 64555820 71265670 73097150 80694775 92222600 95443993 101808100 104424500 115278250 127260125 129111640 142531340 146194300 161389550 178164175 182742875 190887986 203616200 208849000 210728641 230556500 254520250 285062680 292388600 322779100 356328350 365485750 381775972 403473875 421457282 461113000 465263017 477219965 509040500 645558200 668107951 712656700 730971500 763551944 806947750 842914564 890820875 930526034 954439930 1018081000 1053643205 1336215902 1425313400 1461943000 1475100487 1613895500 1685829128 1781641750 1861052068 1908879860 2107286410 2326315085 2386099825 2672431804 2950200974 3227791000 3256841119 3340539755 3563283500 3722104136 3817759720 4214572820 4652630170 4772199650 5268216025 5344863608 5900401948 6513682238 6681079510 7126567000 7375502435 8429145640 9305260340 9544399300 10536432050 11631575425 11800803896 11930499125 13027364476 13362159020 14751004870 16284205595 16702698775 18610520680 19088798600 21072864100 23263150850 23860998250 26054728952 26341080125 26724318040 29502009740 32568411190 33405397550 36877512175 42145728200 46526301700 47721996500 52682160250 58157877125 59004019480 65136822380 66810795100 73755024350 81421027975 83513493875 93052603400 95443993000 96302988937 105364320500 116315754250 130273644760 133621590200 147510048700 162842055950 167026987750 184387560875 192605977874 210728641000 212625198769 232631508500 295020097400 325684111900 334053975500 368775121750 385211955748 407105139875 425250397538 465263017000 481514944685 651368223800 668107951000 674120922559 737550243500 770423911496 814210279750 850500795076 963029889370 1063125993845 1348241845118 1475100487000 1488376391383 1628420559500 1701001590152 1926059778740 2126251987690 2407574723425 2696483690236 2976752782766 3256841119000 3370604612795 3852119557480 4252503975380 4815149446850 5315629969225 5392967380472 5953505565532 6741209225590 7441881956915 8505007950760 9630298893700 10631259938450 11907011131064 12037873617125 13482418451180 14883763913830 16853023063975 19260597787400 21262519876900 24075747234250 26578149846125 26964836902360 29767527827660 33706046127950 37209409784575 42525039753800 48151494468500 53156299692250 59535055655320 67412092255900 74418819569150 84265115319875 96302988937000 97169715837433 106312599384500 134824184511800 148837639138300 168530230639750 186047048922875 194339431674866 212625198769000 297675278276600 337060461279500 372094097845750 388678863349732 485848579187165 674120922559000 680188010862031 744188195691500 777357726699464 971697158374330 1360376021724062 1488376391383000 1943394316748660 2429242895935825 2720752043448124 3400940054310155 3886788633497320 4858485791871650 5441504086896248 6801880108620310 9716971583743300 12146214479679125 13603760217240620 17004700271550775 19433943167486600 24292428959358250 27207520434481240 34009400543101550 48584857918716500 68018801086203100 85023501357753875 97169715837433000 136037602172406200 170047002715507750 340094005431015500 680188010862031000
• Sum of all divisors σ(n): 1824814689053616000
• Sum of proper divisors (its aliquot sum) s(n): 1144626678191585000
• 680188010862031000 is an abundant number, because the sum of its proper divisors (1144626678191585000) is greater than itself. Its abundance is 464438667329554000

Bases of 680188010862031000

• Binary: 100101110000100000110110010001011111111010010011000010011000₂
• Hexadecimal: 0x97083645FE93098
• Base-36: 561EIYFP8R6G

Squares and roots of 680188010862031000

• 680188010862031000 squared (680188010862031000²) is 462655730120446401639717444961000000
• 680188010862031000 cubed (680188010862031000³) is 314692880784547079934438677902194386407175791000000000
• The square root of 680188010862031000 is 824735115.5747104479
• The cube root of 680188010862031000 is 879446.9712514921

Scales and comparisons

• 680,188,010,862,031,000 seconds is equal to 21,627,874,785 years, 39 weeks, 1 day, 5 hours, 56 minutes, 40 seconds.
• To count from 1 to 680,188,010,862,031,000 would take you about sixty-four billion, eight hundred eighty-three million, six hundred twenty-four thousand, three hundred fifty-seven 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 680188010862031000 cubic inches would be around 73287.2 feet tall.

Recreational maths with 680188010862031000

• 680188010862031000 backwards is 000130268010881086
• The number of decimal digits it has is: 18
• The sum of 680188010862031000's digits is 52
• More coming soon!