138637724466441112

Names of 138637724466441112

• Cardinal: 138637724466441112 can be written as One hundred thirty-eight quadrillion, six hundred thirty-seven trillion, seven hundred twenty-four billion, four hundred sixty-six million, four hundred forty-one thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.38637724466441112 × 10¹⁷

Factors of 138637724466441112

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2146

Divisors of 138637724466441112

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 11 22 44 88 103 121 206 242 412 484 601 824 968 1133 1202 1331 1429 2266 2404 2662 2858 4532 4808 5324 5716 6611 9064 10609 10648 11432 12463 13222 15719 21218 24926 26444 31438 42436 49852 52888 61903 62876 72721 84872 99704 116699 123806 125752 137093 145442 147187 172909 233398 247612 274186 290884 294374 345818 466796 495224 548372 581768 588748 680933 691636 799931 858829 933592 1096744 1177496 1283689 1361866 1383272 1599862 1619057 1717658 1901999 2042041 2567378 2723732 3199724 3238114 3435316 3803998 4084082 5134756 5447464 6376009 6399448 6476228 6870632 7490263 7607996 8168164 9447119 10269512 12752018 12952456 14120579 14980526 15160261 15215992 16336328 17809627 18894238 22462451 25504036 28241158 29961052 30320522 35619254 37788476 44924902 51008072 56482316 59922104 60641044 70136099 71238508 75576952 82392893 88459387 89849804 103918309 112964632 121282088 140272198 142477016 164785786 166762871 176918774 179699608 195905897 207836618 210330223 247086961 280544396 329571572 333525742 353837548 391811794 415673236 420660446 494173922 561088792 659143144 667051484 707675096 771497089 783623588 831346472 841320892 973053257 988347844 1143101399 1227266641 1334102968 1542994178 1567247176 1682641784 1834391581 1946106514 1976695688 2286202798 2313632453 2454533282 2717956571 3085988356 3668783162 3892213028 4572405596 4627264906 4909066564 5435913142 6171976712 7337566324 7784426056 8486467979 9111316861 9144811192 9254529812 9818133128 10703585827 10871826284 13499933051 14675132648 16972935958 18222633722 18509059624 20178307391 21407171654 21664012969 21743652568 25449956983 26999866102 33945871916 36445267444 40356614782 42814343308 43328025938 50899913966 53999732204 67891743832 72890534888 80713229564 85628686616 86656051876 100224485471 101799827932 107999464408 117739444097 126408464023 148499263561 161426459128 173312103752 200448970942 203599655864 235478888194 238304142659 252816928046 279949526813 296998527122 400897941884 470957776388 476608285318 505633856092 559899053626 593997054244 801795883768 941915552776 953216570636 1011267712184 1102469340181 1119798107252 1187994108488 1390493104253 1633491899171 1906433141272 2204938680362 2239596214504 2621345569249 2780986208506 3266983798342 4409877360724 5242691138498 5561972417012 6533967596684 8819754721448 10485382276996 11123944834024 12127162741991 13020071794369 13067935193368 15295424146783 20970764553992 24254325483982 26040143588738 28834801261739 30590848293566 48508650967964 52080287177476 57669602523478 61181696587132 97017301935928 104160574354952 115339205046956 122363393174264 143220789738059 168249665614613 230678410093912 286441579476118 336499331229226 572883158952236 672998662458452 1145766317904472 1345997324916904 1575428687118649 3150857374237298 6301714748474596 12603429496949192 17329715558305139 34659431116610278 69318862233220556 138637724466441112
• Sum of all divisors σ(n): 289406586423674160
• Sum of proper divisors (its aliquot sum) s(n): 150768861957233048
• 138637724466441112 is an abundant number, because the sum of its proper divisors (150768861957233048) is greater than itself. Its abundance is 12131137490791936

Bases of 138637724466441112

• Binary: 111101100100010100100011010011111010010100110101110011000₂
• Hexadecimal: 0x1EC8A469F4A6B98
• Base-36: 11X2YZDNCK2G

Squares and roots of 138637724466441112

• 138637724466441112 squared (138637724466441112²) is 19220418645232844512985486963796544
• 138637724466441112 cubed (138637724466441112³) is 2664675104267438459314137851252472238480619725116928
• The square root of 138637724466441112 is 372340871.3349114887
• The cube root of 138637724466441112 is 517559.7254585585

Scales and comparisons

• 138,637,724,466,441,112 seconds is equal to 4,408,250,803 years, 20 weeks, 3 days, 15 hours, 51 minutes, 52 seconds.
• To count from 1 to 138,637,724,466,441,112 would take you about thirteen billion, two hundred twenty-four million, seven hundred fifty-two thousand, four hundred ten 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 138637724466441112 cubic inches would be around 43130 feet tall.

Recreational maths with 138637724466441112

• 138637724466441112 backwards is 211144664427736831
• The number of decimal digits it has is: 18
• The sum of 138637724466441112's digits is 70
• More coming soon!