138188081936203776

Names of 138188081936203776

• Cardinal: 138188081936203776 can be written as One hundred thirty-eight quadrillion, one hundred eighty-eight trillion, eighty-one billion, nine hundred thirty-six million, two hundred three thousand, seven hundred seventy-six.

Scientific notation

• Scientific notation: 1.38188081936203776 × 10¹⁷

Factors of 138188081936203776

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 2526

Divisors of 138188081936203776

• Number of divisors d(n): 435
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2521 2592 3072 3456 4096 4608 5042 5184 6144 6912 7563 8192 9216 10084 10368 12288 13824 15126 16384 18432 20168 20736 22689 24576 27648 30252 32768 36864 40336 41472 45378 49152 55296 60504 65536 68067 73728 80672 82944 90756 98304 110592 121008 131072 136134 147456 161344 165888 181512 196608 204201 221184 242016 262144 272268 294912 322688 331776 363024 393216 408402 442368 484032 524288 544536 589824 645376 663552 726048 786432 816804 884736 968064 1048576 1089072 1179648 1290752 1327104 1452096 1572864 1633608 1769472 1936128 2097152 2178144 2359296 2581504 2654208 2904192 3145728 3267216 3538944 3872256 4194304 4356288 4718592 5163008 5308416 5808384 6291456 6355441 6534432 7077888 7744512 8388608 8712576 9437184 10326016 10616832 11616768 12582912 12710882 13068864 14155776 15489024 16777216 17425152 18874368 19066323 20652032 21233664 23233536 25165824 25421764 26137728 28311552 30978048 33554432 34850304 37748736 38132646 41304064 42467328 46467072 50331648 50843528 52275456 56623104 57198969 61956096 67108864 69700608 75497472 76265292 82608128 84934656 92934144 100663296 101687056 104550912 113246208 114397938 123912192 134217728 139401216 150994944 152530584 165216256 169869312 171596907 185868288 201326592 203374112 209101824 226492416 228795876 247824384 268435456 278802432 301989888 305061168 330432512 339738624 343193814 371736576 402653184 406748224 418203648 452984832 457591752 495648768 514790721 557604864 603979776 610122336 660865024 679477248 686387628 743473152 805306368 813496448 836407296 905969664 915183504 991297536 1029581442 1115209728 1207959552 1220244672 1321730048 1358954496 1372775256 1486946304 1626992896 1672814592 1811939328 1830367008 1982595072 2059162884 2230419456 2415919104 2440489344 2643460096 2717908992 2745550512 2973892608 3253985792 3345629184 3623878656 3660734016 3965190144 4118325768 4460838912 4880978688 5286920192 5435817984 5491101024 5947785216 6507971584 6691258368 7247757312 7321468032 7930380288 8236651536 8921677824 9761957376 10573840384 10871635968 10982202048 11895570432 13015943168 13382516736 14642936064 15860760576 16473303072 17843355648 19523914752 21147680768 21743271936 21964404096 23791140864 26031886336 26765033472 29285872128 31721521152 32946606144 35686711296 39047829504 42295361536 43928808192 47582281728 52063772672 53530066944 58571744256 63443042304 65893212288 71373422592 78095659008 84590723072 87857616384 95164563456 104127545344 107060133888 117143488512 126886084608 131786424576 142746845184 156191318016 169181446144 175715232768 190329126912 208255090688 214120267776 234286977024 253772169216 263572849152 285493690368 312382636032 338362892288 351430465536 380658253824 416510181376 428240535552 468573954048 507544338432 527145698304 570987380736 624765272064 676725784576 702860931072 761316507648 833020362752 856481071104 937147908096 1015088676864 1054291396608 1141974761472 1249530544128 1405721862144 1522633015296 1666040725504 1712962142208 1874295816192 2030177353728 2108582793216 2283949522944 2499061088256 2811443724288 3045266030592 3332081451008 3425924284416 3748591632384 4217165586432 4567899045888 4998122176512 5622887448576 6090532061184 6664162902016 6851848568832 7497183264768 8434331172864 9135798091776 9996244353024 11245774897152 13328325804032 13703697137664 14994366529536 16868662345728 18271596183552 19992488706048 22491549794304 26656651608064 27407394275328 29988733059072 33737324691456 39984977412096 44983099588608 53313303216128 54814788550656 59977466118144 67474649382912 79969954824192 89966199177216 106626606432256 119954932236288 134949298765824 159939909648384 179932398354432 213253212864512 239909864472576 269898597531648 319879819296768 359864796708864 426506425729024 479819728945152 539797195063296 639759638593536 719729593417728 853012851458048 959639457890304 1079594390126592 1279519277187072 1439459186835456 1706025702916096 1919278915780608 2159188780253184 2559038554374144 2878918373670912 3838557831561216 4318377560506368 5118077108748288 5757836747341824 7677115663122432 8636755121012736 11515673494683648 15354231326244864 17273510242025472 23031346989367296 34547020484050944 46062693978734592 69094040968101888 138188081936203776
• Sum of all divisors σ(n): 413022051937629453
• Sum of proper divisors (its aliquot sum) s(n): 274833970001425677
• 138188081936203776 is an abundant number, because the sum of its proper divisors (274833970001425677) is greater than itself. Its abundance is 136645888065221901

Bases of 138188081936203776

• Binary: 111101010111100010101010000010000000000000000000000000000₂
• Hexadecimal: 0x1EAF15410000000
• Base-36: 11SNL4GA9S00

Squares and roots of 138188081936203776

• 138188081936203776 squared (138188081936203776²) is 19095945989206968337265222196658176
• 138188081936203776 cubed (138188081936203776³) is 2638832149005854407742060846254940488390654952472576
• 138188081936203776 is a perfect square number. Its square root is 371736576
• The cube root of 138188081936203776 is 516999.5871334515

Scales and comparisons

• 138,188,081,936,203,776 seconds is equal to 4,393,953,561 years, 39 weeks, 6 days, 20 hours, 9 minutes, 36 seconds.
• To count from 1 to 138,188,081,936,203,776 would take you about thirteen billion, one hundred eighty-one million, eight hundred sixty thousand, six hundred eighty-five 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 138188081936203776 cubic inches would be around 43083.3 feet tall.

Recreational maths with 138188081936203776

• 138188081936203776 backwards is 677302639180881831
• 138188081936203776 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138188081936203776's digits is 81
• More coming soon!