106938657406080

Names of 106938657406080

• Cardinal: 106938657406080 can be written as One hundred six trillion, nine hundred thirty-eight billion, six hundred fifty-seven million, four hundred six thousand and eighty.

Scientific notation

• Scientific notation: 1.0693865740608 × 10¹⁴

Factors of 106938657406080

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 49211

Divisors of 106938657406080

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 277 288 320 360 384 432 461 480 540 554 576 640 720 831 864 922 960 1080 1108 1152 1383 1385 1440 1662 1728 1844 1920 2160 2216 2305 2493 2766 2770 2880 3324 3456 3688 4149 4155 4320 4432 4610 4986 5532 5540 5760 6648 6915 7376 7479 8298 8310 8640 8864 9220 9972 11064 11080 12447 12465 13296 13830 14752 14958 16596 16620 17280 17728 18440 19944 20745 22128 22160 24894 24930 26592 27660 29504 29916 33192 33240 35456 36880 37395 39888 41490 44256 44320 48463 49788 49860 53184 55320 59008 59832 62235 66384 66480 73760 74790 79776 82980 88512 88640 96926 99576 99720 106368 110640 119664 124470 127697 132768 132960 145389 147520 149580 159552 165960 177024 177280 193852 199152 199440 221280 239328 242315 248940 255394 265536 265920 290778 295040 299160 319104 331920 383091 387704 398304 398880 436167 442560 478656 484630 497880 510788 531072 531840 581556 598320 638485 663840 726945 766182 775408 796608 797760 872334 885120 957312 969260 995760 1021576 1149273 1163112 1196640 1276970 1308501 1327680 1453890 1532364 1550816 1593216 1595520 1744668 1915455 1938520 1991520 2043152 2180835 2298546 2326224 2393280 2553940 2617002 2655360 2907780 3064728 3101632 3447819 3489336 3830910 3877040 3983040 4086304 4361670 4597092 4652448 4786560 5107880 5234004 5746365 5815560 6129456 6203264 6542505 6895638 6978672 7661820 7754080 7966080 8172608 8723340 9194184 9304896 10215760 10468008 11492730 11631120 12258912 13085010 13424251 13791276 13957344 15323640 15508160 16345216 17239095 17446680 18388368 18609792 20431520 20936016 22341443 22985460 23262240 24517824 26170020 26848502 27582552 27914688 30647280 31016320 34478190 34893360 36776736 40272753 40863040 41872032 44682886 45970920 46524480 49035648 52340040 53697004 55165104 55829376 61294560 67024329 67121255 68956380 69786720 73553472 80545506 81726080 83744064 89365772 91941840 93048960 104680080 107394008 110330208 111707215 120818259 122589120 134048658 134242510 137912760 139573440 147106944 161091012 167488128 178731544 183883680 201072987 201363765 209360160 214788016 220660416 223414430 241636518 245178240 268097316 268485020 275825520 279146880 322182024 335121645 357463088 362454777 367767360 402145974 402727530 418720320 429576032 441320832 446828860 483273036 536194632 536970040 551651040 603218961 604091295 644364048 670243290 714926176 724909554 735534720 804291948 805455060 837440640 859152064 893657720 966546072 1005364935 1072389264 1073940080 1103302080 1206437922 1208182590 1288728096 1340486580 1429852352 1449819108 1608583896 1610910120 1718304128 1787315440 1812273885 1933092144 2010729870 2144778528 2147880160 2206604160 2412875844 2416365180 2577456192 2680973160 2859704704 2899638216 3016094805 3217167792 3221820240 3574630880 3624547770 3866184288 4021459740 4289557056 4295760320 4825751688 4832730360 5154912384 5361946320 5799276432 6032189610 6188579711 6434335584 6443640480 7149261760 7249095540 7732368576 8042919480 8579114112 8591520640 9651503376 9665460720 10723892640 11598552864 12064379220 12377159422 12868671168 12887280960 14298523520 14498191080 15464737152 16085838960 18565739133 19303006752 19330921440 21447785280 23197105728 24128758440 24754318844 25737342336 25774561920 28996382160 30942898555 32171677920 37131478266 38606013504 38661842880 42895570560 46394211456 48257516880 49508637688 55697217399 57992764320 61885797110 64343355840 74262956532 77212027008 77323685760 92828695665 96515033760 99017275376 111394434798 115985528640 123771594220 128686711680 148525913064 167091652197 185657391330 193030067520 198034550752 222788869596 231971057280 247543188440 278486086995 297051826128 334183304394 371314782660 386060135040 396069101504 445577739192 495086376880 556972173990 594103652256 668366608788 742629565320 792138203008 835458260985 891155478384 990172753760 1113944347980 1188207304512 1336733217576 1485259130640 1670916521970 1782310956768 1980345507520 2227888695960 2376414609024 2673466435152 2970518261280 3341833043940 3564621913536 3960691015040 4455777391920 5346932870304 5941036522560 6683666087880 7129243827072 8911554783840 10693865740608 11882073045120 13367332175760 17823109567680 21387731481216 26734664351520 35646219135360 53469328703040 106938657406080
• Sum of all divisors σ(n): 380940765004800
• Sum of proper divisors (its aliquot sum) s(n): 274002107598720
• 106938657406080 is an abundant number, because the sum of its proper divisors (274002107598720) is greater than itself. Its abundance is 167063450192640

Bases of 106938657406080

• Binary: 11000010100001010011000101011111111110010000000₂
• Hexadecimal: 0x614298AFFC80
• Base-36: 11WMXVJMO0

Squares and roots of 106938657406080

• 106938657406080 squared (106938657406080²) is 11435876447814948834020966400
• 106938657406080 cubed (106938657406080³) is 1222937273591141920762612479177358835712000
• The square root of 106938657406080 is 10341114.9015026421
• The cube root of 106938657406080 is 47465.5199309121

Scales and comparisons

• 106,938,657,406,080 seconds is equal to 3,400,318 years, 27 weeks, 1 day, 4 hours, 48 minutes.
• To count from 1 to 106,938,657,406,080 would take you about eight million, five hundred thousand, seven hundred ninety-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 106938657406080 cubic inches would be around 3955.5 feet tall.

Recreational maths with 106938657406080

• 106938657406080 backwards is 080604756839601
• The number of decimal digits it has is: 15
• The sum of 106938657406080's digits is 63
• More coming soon!