138768383274864

Names of 138768383274864

• Cardinal: 138768383274864 can be written as One hundred thirty-eight trillion, seven hundred sixty-eight billion, three hundred eighty-three million, two hundred seventy-four thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.38768383274864 × 10¹⁴

Factors of 138768383274864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 258

Divisors of 138768383274864

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 229 238 272 289 294 336 357 392 408 458 476 578 588 687 714 784 816 833 867 916 952 1156 1176 1374 1428 1603 1666 1734 1832 1904 2023 2312 2352 2499 2748 2856 3206 3332 3468 3664 3893 4046 4624 4809 4913 4998 5496 5712 6069 6412 6664 6936 7786 8092 9618 9826 9996 10992 11221 11679 12138 12824 13328 13872 14161 14739 15572 16184 19236 19652 19992 22442 23358 24276 25648 27251 28322 29478 31144 32368 33663 34391 38472 39304 39984 42483 44884 46716 48552 52441 54502 56644 58956 62288 66181 67326 68782 76944 78608 81753 84966 89768 93432 97104 103173 104882 109004 113288 117912 132362 134652 137564 157323 163506 169932 179536 186864 190757 198543 206346 209764 218008 226576 235824 240737 264724 269304 275128 314646 327012 339864 367087 381514 397086 412692 419528 436016 463267 481474 529448 538608 550256 572271 629292 654024 679728 722211 734174 763028 794172 825384 839056 891497 926534 962948 1058896 1101261 1125077 1144542 1258584 1308048 1389801 1444422 1468348 1526056 1588344 1650768 1782994 1853068 1925896 2202522 2250154 2289084 2517168 2569609 2674491 2779602 2888844 2936696 3052112 3176688 3242869 3375231 3565988 3706136 3851792 4405044 4500308 4578168 5139218 5348982 5559204 5777688 5873392 6240479 6485738 6750462 7131976 7412272 7708827 7875539 8810088 9000616 9156336 9728607 10278436 10697964 11118408 11555376 12008989 12480958 12971476 13500924 14263952 15155449 15417654 15751078 17620176 18001232 18721437 19457214 20556872 21395928 22236816 23626617 24017978 24961916 25942952 27001848 30310898 30835308 31502156 36026967 37442874 38914428 41113744 42791856 43683353 45466347 47253234 48035956 49923832 51885904 54003696 55128773 60621796 61670616 63004312 72053934 74885748 77828856 84062923 87366706 90932694 94506468 96071912 99847664 106088143 110257546 121243592 123341232 126008624 131050059 144107868 149771496 155657712 165386319 168125846 174733412 181865388 189012936 192143824 204152813 212176286 220515092 242487184 252188769 257642633 262100118 288215736 299542992 318264429 330772638 336251692 349466824 363730776 378025872 408305626 424352572 441030184 504377538 515285266 524200236 576431472 588440461 612458439 636528858 661545276 672503384 698933648 727461552 742617001 772927899 816611252 848705144 882060368 1008755076 1030570532 1048400472 1176880922 1224916878 1273057716 1323090552 1345006768 1429069691 1485234002 1545855798 1633222504 1697410288 1765321383 1803498431 2017510152 2061141064 2096800944 2227851003 2353761844 2449833756 2546115432 2646181104 2858139382 2970468004 3091711596 3266445008 3470597821 3530642766 3606996862 4035020304 4122282128 4287209073 4455702006 4707523688 4899667512 5092230864 5410495293 5716278764 5940936008 6183423192 6941195642 7061285532 7213993724 8574418146 8911404012 9415047376 9799335024 10003487837 10411793463 10820990586 11432557528 11881872016 12366846384 12624489017 13882391284 14122571064 14427987448 17148836292 17822808024 20006975674 20823586926 21641981172 22865115056 24294184747 25248978034 27764782568 28245142128 28855974896 30010463511 34297672584 35645616048 37873467051 40013951348 41647173852 43283962344 48588369494 50497956068 55529565136 59000162957 60020927022 68595345168 72882554241 75746934102 80027902696 83294347704 86567924688 97176738988 100995912136 118000325914 120041854044 145765108482 151493868204 160055805392 166588695408 170059293229 177000488871 194353477976 201991824272 236000651828 240083708088 291530216964 302987736408 340118586458 354000977742 388706955952 413001140699 472001303656 480167416176 510177879687 583060433928 605975472816 680237172916 708001955484 826002281398 944002607312 1020355759374 1166120867856 1239003422097 1360474345832 1416003910968 1652004562796 2040711518748 2478006844194 2720948691664 2832007821936 2891007984893 3304009125592 4081423037496 4956013688388 5782015969786 6608018251184 8162846074992 8673023954679 9912027376776 11564031939572 17346047909358 19824054753552 23128063879144 34692095818716 46256127758288 69384191637432 138768383274864
• Sum of all divisors σ(n): 445014463233600
• Sum of proper divisors (its aliquot sum) s(n): 306246079958736
• 138768383274864 is an abundant number, because the sum of its proper divisors (306246079958736) is greater than itself. Its abundance is 167477696683872

Bases of 138768383274864

• Binary: 11111100011010110001000001100001110111101110000₂
• Hexadecimal: 0x7E358830EF70
• Base-36: 1D6TBCIAUO

Squares and roots of 138768383274864

• 138768383274864 squared (138768383274864²) is 19256664196719554725374218496
• 138768383274864 cubed (138768383274864³) is 2672216157845730261487313060613871160684544
• The square root of 138768383274864 is 11779999.2901045625
• The cube root of 138768383274864 is 51772.2265403215

Scales and comparisons

• 138,768,383,274,864 seconds is equal to 4,412,405 years, 18 weeks, 1 day, 3 hours, 54 minutes, 24 seconds.
• To count from 1 to 138,768,383,274,864 would take you about eleven million, thirty-one thousand and thirteen 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 138768383274864 cubic inches would be around 4314.4 feet tall.

Recreational maths with 138768383274864

• 138768383274864 backwards is 468472383867831
• The number of decimal digits it has is: 15
• The sum of 138768383274864's digits is 78
• More coming soon!