82123583775606400

Names of 82123583775606400

• Cardinal: 82123583775606400 can be written as Eighty-two quadrillion, one hundred twenty-three trillion, five hundred eighty-three billion, seven hundred seventy-five million, six hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 8.21235837756064 × 10¹⁶

Factors of 82123583775606400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 23911899

Divisors of 82123583775606400

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 83 100 128 134 160 166 193 200 268 320 332 335 386 400 415 536 640 664 670 772 800 830 965 1072 1328 1340 1544 1600 1660 1675 1930 2075 2144 2656 2680 3088 3200 3320 3350 3860 4150 4288 4825 5312 5360 5561 6176 6640 6700 7720 8300 8576 9650 10624 10720 11122 12352 12931 13280 13400 15440 16019 16600 19300 21440 22244 24704 25862 26560 26800 27805 30880 32038 33200 38600 42880 44488 51724 53120 53600 55610 61760 64076 64655 66400 77200 80095 88976 103448 107200 111220 123520 128152 129310 132800 139025 154400 160190 177952 206896 214400 222440 256304 258620 265600 278050 308800 320380 323275 355904 400475 413792 444880 512608 517240 556100 617600 640760 646550 711808 800950 827584 889760 1025216 1034480 1073273 1112200 1281520 1293100 1601900 1655168 1779520 2050432 2068960 2146546 2224400 2563040 2586200 3203800 3559040 4137920 4293092 4448800 5126080 5172400 5366365 6407600 8275840 8586184 8897600 10252160 10344800 10732730 12815200 17172368 17795200 20689600 21465460 23911549 25630400 26831825 34344736 41379200 42930920 47823098 51260800 53663650 68689472 85861840 95646196 107327300 119557745 137378944 171723680 191292392 214654600 239115490 343447360 382584784 429309200 478230980 597788725 686894720 765169568 858618400 956461960 1195577450 1530339136 1602073783 1717236800 1912923920 1984658567 2391154900 3060678272 3204147566 3434473600 3825847840 3969317134 4614928957 4782309800 6408295132 7651695680 7938634268 8010368915 9229857914 9564619600 9923292835 12816590264 15303391360 15877268536 16020737830 18459715828 19129239200 19846585670 23074644785 25633180528 31754537072 32041475660 36919431656 38258478400 39693171340 40051844575 46149289570 49616464175 51266361056 63509074144 64082951320 73838863312 76516956800 79386342680 80103689150 92298579140 99232928350 102532722112 115373223925 127018148288 128165902640 132972123989 147677726624 158772685360 160207378300 184597158280 198465856700 205065444224 230746447850 254036296576 256331805280 265944247978 295355453248 309200240119 317545370720 320414756600 369194316560 383039103431 396931713400 461492895700 512663610560 531888495956 590710906496 618400480238 635090741440 640829513200 664860619945 738388633120 766078206862 793863426800 922985791400 1025327221120 1063776991912 1236800960476 1270181482880 1281659026400 1329721239890 1476777266240 1532156413724 1546001200595 1587726853600 1845971582800 1915195517155 2127553983824 2473601920952 2563318052800 2659442479780 2953554532480 3064312827448 3092002401190 3175453707200 3324303099725 3691943165600 3830391034310 4255107967648 4947203841904 5126636105600 5318884959560 6128625654896 6184004802380 6350907414400 6648606199450 7383886331200 7660782068620 7730006002975 8510215935296 9575977585775 9894407683808 10637769919120 12257251309792 12368009604760 13297212398900 14767772662400 15321564137240 15460012005950 17020431870592 19151955171550 19788815367616 21275539838240 24514502619584 24736019209520 25663619929877 26594424797800 30643128274480 30920024011900 38303910343100 39577630735232 42551079676480 49029005239168 49472038419040 51327239859754 53188849595600 61286256548960 61840048023800 76607820686200 85102159352960 98944076838080 102654479719508 106377699191200 122572513097920 123680096047600 128318099649385 153215641372400 197888153676160 205308959439016 212755398382400 245145026195840 247360192095200 256636199298770 306431282744800 410617918878032 425510796764800 494720384190400 513272398597540 612862565489600 641590498246925 821235837756064 989440768380800 1026544797195080 1225725130979200 1283180996493850 1642471675512128 2053089594390160 2566361992987700 3284943351024256 4106179188780320 5132723985975400 8212358377560640 10265447971950800 16424716755121280 20530895943901600 41061791887803200 82123583775606400
• Sum of all divisors σ(n): 209459244109752000
• Sum of proper divisors (its aliquot sum) s(n): 127335660334145600
• 82123583775606400 is an abundant number, because the sum of its proper divisors (127335660334145600) is greater than itself. Its abundance is 45212076558539200

Bases of 82123583775606400

• Binary: 100100011110000101111011011011110101000001000011010000000₂
• Hexadecimal: 0x123C2F6DEA08680
• Base-36: MGMDPK3WBR4

Squares and roots of 82123583775606400

• 82123583775606400 squared (82123583775606400²) is 6744283012149042733027687720960000
• 82123583775606400 cubed (82123583775606400³) is 553864690954620986890421451460105373257990144000000
• The square root of 82123583775606400 is 286572126.6550646233
• The cube root of 82123583775606400 is 434666.2940739523

Scales and comparisons

• 82,123,583,775,606,400 seconds is equal to 2,611,275,939 years, 7 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 82,123,583,775,606,400 would take you about seven billion, eight hundred thirty-three million, eight hundred twenty-seven thousand, eight hundred seventeen 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 82123583775606400 cubic inches would be around 36222.2 feet tall.

Recreational maths with 82123583775606400

• 82123583775606400 backwards is 00460657738532128
• 82123583775606400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 82123583775606400's digits is 67
• More coming soon!