138720218404352000

Names of 138720218404352000

• Cardinal: 138720218404352000 can be written as One hundred thirty-eight quadrillion, seven hundred twenty trillion, two hundred eighteen billion, four hundred four million, three hundred fifty-two thousand.

Scientific notation

• Scientific notation: 1.38720218404352 × 10¹⁷

Factors of 138720218404352000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 19644228

Divisors of 138720218404352000

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 512 520 640 650 800 832 1000 1024 1040 1061 1280 1300 1600 1625 1664 2000 2048 2080 2122 2560 2600 3200 3250 3328 4000 4096 4160 4244 5120 5200 5305 6400 6500 6656 8000 8320 8488 10240 10400 10610 12800 13000 13312 13793 16000 16640 16976 20480 20800 21220 25600 26000 26525 26624 27586 32000 33280 33952 41600 42440 51200 52000 53050 53248 55172 64000 66560 67904 68965 83200 84880 102400 104000 106100 110344 128000 132625 133120 135808 137930 166400 169760 208000 212200 220688 256000 265250 266240 271616 275860 332800 339520 344825 416000 424400 441376 512000 530500 543232 551720 665600 679040 689650 832000 848800 882752 1061000 1086464 1103440 1331200 1358080 1379300 1664000 1697600 1724125 1765504 2122000 2172928 2206880 2716160 2758600 3328000 3395200 3448250 3531008 4244000 4345856 4413760 5432320 5517200 6656000 6790400 6896500 7062016 8488000 8827520 10864640 11034400 13580800 13793000 14124032 16976000 17655040 19643147 21729280 22068800 27161600 27586000 28248064 33952000 35310080 39286294 44137600 54323200 55172000 56496128 67904000 70620160 78572588 88275200 98215735 108646400 110344000 135808000 141240320 157145176 176550400 196431470 220688000 255360911 271616000 282480640 314290352 353100800 392862940 441376000 491078675 510721822 543232000 628580704 706201600 785725880 882752000 982157350 1021443644 1257161408 1276804555 1412403200 1571451760 1765504000 1964314700 2042887288 2455393375 2514322816 2553609110 3142903520 3531008000 3928629400 4085774576 4910786750 5028645632 5107218220 6285807040 6384022775 7062016000 7857258800 8171549152 9821573500 10057291264 10214436440 12571614080 12768045550 15714517600 16343098304 19643147000 20114582528 20428872880 20841378967 25143228160 25536091100 31429035200 31920113875 32686196608 39286294000 40229165056 40857745760 41682757934 50286456320 51072182200 62858070400 63840227750 65372393216 78572588000 80458330112 81715491520 83365515868 100572912640 102144364400 104206894835 125716140800 127680455500 130744786432 157145176000 163430983040 166731031736 201145825280 204288728800 208413789670 251432281600 255360911000 261489572864 270937926571 314290352000 326861966080 333462063472 402291650560 408577457600 416827579340 502864563200 510721822000 521034474175 522979145728 541875853142 628580704000 653723932160 666924126944 817154915200 833655158680 1005729126400 1021443644000 1042068948350 1045958291456 1083751706284 1257161408000 1307447864320 1333848253888 1354689632855 1634309830400 1667310317360 2011458252800 2042887288000 2084137896700 2167503412568 2514322816000 2605172370875 2614895728640 2667696507776 2709379265710 3268619660800 3334620634720 4085774576000 4168275793400 4335006825136 5028645632000 5210344741750 5229791457280 5335393015552 5418758531420 6537239321600 6669241269440 6773448164275 8171549152000 8336551586800 8670013650272 10057291264000 10420689483500 10670786031104 10837517062840 13074478643200 13338482538880 13546896328550 16343098304000 16673103173600 17340027300544 20841378967000 21341572062208 21675034125680 26148957286400 26676965077760 27093792657100 32686196608000 33346206347200 33867240821375 34680054601088 41682757934000 42683144124416 43350068251360 53353930155520 54187585314200 65372393216000 66692412694400 67734481642750 69360109202176 83365515868000 85366288248832 86700136502720 106707860311040 108375170628400 130744786432000 133384825388800 135468963285500 138720218404352 166731031736000 173400273005440 213415720622080 216750341256800 266769650777600 270937926571000 277440436808704 333462063472000 346800546010880 426831441244160 433500682513600 533539301555200 541875853142000 554880873617408 666924126944000 693601092021760 867001365027200 1067078603110400 1083751706284000 1109761747234816 1333848253888000 1387202184043520 1734002730054400 2134157206220800 2167503412568000 2667696507776000 2774404368087040 3468005460108800 4335006825136000 5335393015552000 5548808736174080 6936010920217600 8670013650272000 10670786031104000 13872021840435200 17340027300544000 27744043680870400 34680054601088000 69360109202176000 138720218404352000
• Sum of all divisors σ(n): 373185847582801344
• Sum of proper divisors (its aliquot sum) s(n): 234465629178449344
• 138720218404352000 is an abundant number, because the sum of its proper divisors (234465629178449344) is greater than itself. Its abundance is 95745410774097344

Bases of 138720218404352000

• Binary: 111101100110101010100110110111101001001111111000000000000₂
• Hexadecimal: 0x1ECD54DBD27F000
• Base-36: 11XW7OKK1TKW

Squares and roots of 138720218404352000

• 138720218404352000 squared (138720218404352000²) is 19243298994151119340972539904000000
• 138720218404352000 cubed (138720218404352000³) is 2669434639288890434806720475257507527262208000000000
• The square root of 138720218404352000 is 372451632.3019030613
• The cube root of 138720218404352000 is 517662.3600394655

Scales and comparisons

• 138,720,218,404,352,000 seconds is equal to 4,410,873,855 years, 23 weeks, 2 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 138,720,218,404,352,000 would take you about thirteen billion, two hundred thirty-two million, six hundred twenty-one thousand, five hundred sixty-six 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 138720218404352000 cubic inches would be around 43138.5 feet tall.

Recreational maths with 138720218404352000

• 138720218404352000 backwards is 000253404812027831
• 138720218404352000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138720218404352000's digits is 50
• More coming soon!