138233795424748800

Names of 138233795424748800

• Cardinal: 138233795424748800 can be written as One hundred thirty-eight quadrillion, two hundred thirty-three trillion, seven hundred ninety-five billion, four hundred twenty-four million, seven hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.382337954247488 × 10¹⁷

Factors of 138233795424748800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 146932180528

Divisors of 138233795424748800

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 256 280 294 300 320 336 350 384 392 400 420 448 480 490 525 560 588 600 640 672 700 735 768 784 800 840 896 960 980 1050 1120 1176 1200 1225 1280 1344 1400 1470 1568 1600 1680 1792 1920 1960 2100 2240 2352 2400 2450 2688 2800 2940 3136 3200 3360 3675 3840 3920 4200 4480 4704 4800 4900 5376 5600 5880 6272 6400 6720 7350 7840 8400 8960 9408 9600 9800 11200 11760 12544 13440 14700 15680 16800 18816 19200 19600 22400 23520 26880 29400 31360 33600 37632 39200 44800 47040 58800 62720 67200 78400 94080 117600 134400 156800 188160 235200 313600 470400 940800 146932180511 293864361022 440796541533 587728722044 734660902555 881593083066 1028525263577 1175457444088 1469321805110 1763186166132 2057050527154 2203982707665 2350914888176 2938643610220 3085575790731 3526372332264 3673304512775 4114101054308 4407965415330 4701829776352 5142626317885 5877287220440 6171151581462 7052744664528 7199676845039 7346609025550 8228202108616 8815930830660 9403659552704 10285252635770 11019913538325 11754574440880 12342303162924 14105489329056 14399353690078 14693218051100 15427878953655 16456404217232 17631861661320 18807319105408 20570505271540 21599030535117 22039827076650 23509148881760 24684606325848 25713131589425 28210978658112 28798707380156 29386436102200 30855757907310 32912808434464 35263723322640 35998384225195 37614638210816 41141010543080 43198061070234 44079654153300 47018297763520 49369212651696 51426263178850 56421957316224 57597414760312 58772872204400 61711515814620 65825616868928 70527446645280 71996768450390 77139394768275 82282021086160 86396122140468 88159308306600 94036595527040 98738425303392 102852526357700 107995152675585 112843914632448 115194829520624 117545744408800 123423031629240 131651233737856 141054893290560 143993536900780 154278789536550 164564042172320 172792244280936 176318616613200 179991921125975 188073191054080 197476850606784 205705052715400 215990305351170 230389659041248 235091488817600 246846063258480 263302467475712 282109786581120 287987073801560 308557579073100 329128084344640 345584488561872 352637233226400 359983842251950 394953701213568 411410105430800 431980610702340 460779318082496 470182977635200 493692126516960 539975763377925 564219573162240 575974147603120 617115158146200 658256168689280 691168977123744 705274466452800 719967684503900 789907402427136 822820210861600 863961221404680 921558636164992 940365955270400 987384253033920 1079951526755850 1151948295206240 1234230316292400 1316512337378560 1382337954247488 1410548932905600 1439935369007800 1645640421723200 1727922442809360 1843117272329984 1974768506067840 2159903053511700 2303896590412480 2468460632584800 2764675908494976 2821097865811200 2879870738015600 3291280843446400 3455844885618720 3949537012135680 4319806107023400 4607793180824960 4936921265169600 5529351816989952 5759741476031200 6582561686892800 6911689771237440 8639612214046800 9215586361649920 9873842530339200 11519482952062400 13823379542474880 17279224428093600 19747685060678400 23038965904124800 27646759084949760 34558448856187200 46077931808249600 69116897712374400 138233795424748800
• Sum of all divisors σ(n): 530682009099854976
• Sum of proper divisors (its aliquot sum) s(n): 392448213675106176
• 138233795424748800 is an abundant number, because the sum of its proper divisors (392448213675106176) is greater than itself. Its abundance is 254214418250357376

Bases of 138233795424748800

• Binary: 111101011000110101110011110010000001111110000010100000000₂
• Hexadecimal: 0x1EB1AE7903F0500
• Base-36: 11T3SGXT2AYO

Squares and roots of 138233795424748800

• 138233795424748800 squared (138233795424748800²) is 19108582197531302271803543101440000
• 138233795424748800 cubed (138233795424748800³) is 2641451842350538902426308859743949932884918272000000
• The square root of 138233795424748800 is 371798057.3170720589
• The cube root of 138233795424748800 is 517056.5897557131

Scales and comparisons

• 138,233,795,424,748,800 seconds is equal to 4,395,407,109 years, 15 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 138,233,795,424,748,800 would take you about thirteen billion, one hundred eighty-six million, two hundred twenty-one thousand, three hundred twenty-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 138233795424748800 cubic inches would be around 43088 feet tall.

Recreational maths with 138233795424748800

• 138233795424748800 backwards is 008847424597332831
• The number of decimal digits it has is: 18
• The sum of 138233795424748800's digits is 78
• More coming soon!