138217286345840640

Names of 138217286345840640

• Cardinal: 138217286345840640 can be written as One hundred thirty-eight quadrillion, two hundred seventeen trillion, two hundred eighty-six billion, three hundred forty-five million, eight hundred forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3821728634584064 × 10¹⁷

Factors of 138217286345840640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 15977114

Divisors of 138217286345840640

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 94427 188854 283281 377708 472135 566562 755416 849843 944270 1133124 1416405 1510832 1699686 1888540 2266248 2832810 3021664 3399372 3777080 4249215 4532496 5665620 6043328 6798744 7554160 8498430 9064992 11331240 12086656 13597488 15108320 15882677 16996860 18129984 22662480 24173312 27194976 30216640 31765354 33993720 36259968 45324960 47648031 48346624 54389952 60433280 63530708 67987440 72519936 79413385 90649920 95296062 96693248 108779904 120866560 127061416 135974880 142944093 145039872 158826770 181299840 190592124 193386496 217559808 238240155 241733120 254122832 271949760 285888186 290079744 317653540 362599680 381184248 435119616 476480310 483466240 508245664 543899520 571776372 580159488 635307080 714720465 725199360 762368496 870239232 952960620 966932480 1016491328 1087799040 1143552744 1270614160 1429440930 1450398720 1524736992 1740478464 1905921240 2032982656 2175598080 2287105488 2541228320 2858881860 2900797440 3049473984 3811842480 4065965312 4351196160 4574210976 5082456640 5717763720 6098947968 7623684960 8131930624 8702392320 9148421952 10164913280 11435527440 12197895936 15247369920 16263861248 18296843904 20329826560 22871054880 24395791872 30494739840 32527722496 36593687808 40659653120 45742109760 48791583744 60989479680 73187375616 81319306240 91484219520 97583167488 121978959360 146374751232 162638612480 182968439040 243957918720 292749502464 365936878080 487915837440 731873756160 1463747512320 1499753541079 2999507082158 4499260623237 5999014164316 7498767705395 8998521246474 11998028328632 13497781869711 14997535410790 17997042492948 22496303116185 23996056657264 26995563739422 29995070821580 35994084985896 44992606232370 47992113314528 53991127478844 59990141643160 67488909348555 71988169971792 89985212464740 95984226629056 107982254957688 119980283286320 134977818697110 143976339943584 179970424929480 191968453258112 215964509915376 239960566572640 269955637394220 287952679887168 359940849858960 383936906516224 431929019830752 479921133145280 539911274788440 575905359774336 719881699717920 767873813032448 863858039661504 959842266290560 1079822549576880 1151810719548672 1439763399435840 1535747626064896 1727716079323008 1919684532581120 2159645099153760 2303621439097344 2879526798871680 3071495252129792 3455432158646016 3839369065162240 4319290198307520 4607242878194688 5759053597743360 6910864317292032 7678738130324480 8638580396615040 9214485756389376 11518107195486720 13821728634584064 15357476260648960 17277160793230080 23036214390973440 27643457269168128 34554321586460160 46072428781946880 69108643172920320 138217286345840640
• Sum of all divisors σ(n): 479041381803151440
• Sum of proper divisors (its aliquot sum) s(n): 340824095457310800
• 138217286345840640 is an abundant number, because the sum of its proper divisors (340824095457310800) is greater than itself. Its abundance is 202606809111470160

Bases of 138217286345840640

• Binary: 111101011000010111110001110111110011101100101100000000000₂
• Hexadecimal: 0x1EB0BE3BE765800
• Base-36: 11SXXSRTQF40

Squares and roots of 138217286345840640

• 138217286345840640 squared (138217286345840640²) is 19104018244808105418211828275609600
• 138217286345840640 cubed (138217286345840640³) is 2640505560098805818063245732374665253952520454144000
• The square root of 138217286345840640 is 371775854.9796377511
• The cube root of 138217286345840640 is 517036.0051419047

Scales and comparisons

• 138,217,286,345,840,640 seconds is equal to 4,394,882,171 years, 34 weeks, 2 days, 6 hours, 24 minutes.
• To count from 1 to 138,217,286,345,840,640 would take you about thirteen billion, one hundred eighty-four million, six hundred forty-six thousand, five hundred fourteen 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 138217286345840640 cubic inches would be around 43086.3 feet tall.

Recreational maths with 138217286345840640

• 138217286345840640 backwards is 046048543682712831
• 138217286345840640 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138217286345840640's digits is 72
• More coming soon!