138130686616010752

Names of 138130686616010752

• Cardinal: 138130686616010752 can be written as One hundred thirty-eight quadrillion, one hundred thirty trillion, six hundred eighty-six billion, six hundred sixteen million, ten thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 1.38130686616010752 × 10¹⁷

Factors of 138130686616010752

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 240

Divisors of 138130686616010752

• Number of divisors d(n): 304
• Complete list of divisors:
  1 2 4 8 16 32 41 64 82 128 164 197 256 328 394 512 656 788 1024 1312 1576 1681 2048 2624 3152 3362 4096 5248 6304 6724 8077 8192 10496 12608 13448 16154 16384 20992 25216 26896 32308 32768 38809 41984 50432 53792 64616 65536 68921 77618 83968 100864 107584 129232 131072 137842 155236 167936 201728 215168 258464 262144 275684 310472 331157 335872 403456 430336 516928 551368 620944 662314 671744 806912 860672 1033856 1102736 1241888 1324628 1343488 1591169 1613824 1721344 2067712 2205472 2483776 2649256 2686976 3182338 3227648 3442688 4135424 4410944 4967552 5298512 5373952 6364676 6455296 6885376 7645373 8270848 8821888 9935104 10597024 10747904 12729352 12910592 13577437 13770752 15290746 16541696 17643776 19870208 21194048 25458704 25821184 27154874 27541504 30581492 33083392 35287552 39740416 42388096 50917408 51642368 54309748 55083008 61162984 65237929 66166784 70575104 79480832 84776192 101834816 108619496 110166016 122325968 130475858 132333568 141150208 158961664 169552384 203669632 217238992 220332032 244651936 260951716 264667136 282300416 313460293 317923328 339104768 407339264 434477984 440664064 489303872 521903432 529334272 564600832 626920586 635846656 678209536 814678528 868955968 978607744 1043806864 1058668544 1129201664 1253841172 1271693312 1356419072 1629357056 1737911936 1957215488 2087613728 2117337088 2258403328 2507682344 2543386624 2674755089 2712838144 3258714112 3475823872 3914430976 4175227456 4516806656 5015364688 5086773248 5349510178 5425676288 6517428224 6951647744 7828861952 8350454912 9033613312 10030729376 10173546496 10699020356 10851352576 12851872013 13034856448 13903295488 15657723904 16700909824 18067226624 20061458752 21398040712 21702705152 25703744026 26069712896 27806590976 31315447808 33401819648 40122917504 42796081424 43405410304 51407488052 52139425792 55613181952 62630895616 66803639296 80245835008 85592162848 86810820608 102814976104 104278851584 111226363904 125261791232 133607278592 160491670016 171184325696 205629952208 208557703168 222452727808 250523582464 267214557184 320983340032 342368651392 411259904416 417115406336 444905455616 501047164928 526926752533 534429114368 641966680064 684737302784 822519808832 889810911232 1002094329856 1053853505066 1068858228736 1283933360128 1369474605568 1645039617664 1779621822464 2004188659712 2107707010132 2137716457472 2567866720256 2738949211136 3290079235328 3559243644928 4215414020264 4275432914944 5135733440512 5477898422272 6580158470656 8430828040528 8550865829888 10271466881024 10955796844544 13160316941312 16861656081056 17101731659776 20542933762048 21911593689088 26320633882624 33723312162112 41085867524096 43823187378176 52641267765248 67446624324224 82171735048192 87646374756352 105282535530496 134893248648448 175292749512704 210565071060992 269786497296896 350585499025408 421130142121984 539572994593792 701170998050816 842260284243968 1079145989187584 1684520568487936 2158291978375168 3369041136975872 4316583956750336 8633167913500672 17266335827001344 34532671654002688 69065343308005376 138130686616010752
• Sum of all divisors σ(n): 284611998020066640
• Sum of proper divisors (its aliquot sum) s(n): 146481311404055888
• 138130686616010752 is an abundant number, because the sum of its proper divisors (146481311404055888) is greater than itself. Its abundance is 8350624788045136

Bases of 138130686616010752

• Binary: 111101010101111010010000010101100010101000000000000000000₂
• Hexadecimal: 0x1EABD20AC540000
• Base-36: 11S38PEMJ5DS

Squares and roots of 138130686616010752

• 138130686616010752 squared (138130686616010752²) is 19080086585010571893740990579605504
• 138130686616010752 cubed (138130686616010752³) is 2635545460680446098392236455293897577063446382379008
• The square root of 138130686616010752 is 371659369.0679823989
• 138130686616010752 is a perfect cube number. Its cube root is 516928

Scales and comparisons

• 138,130,686,616,010,752 seconds is equal to 4,392,128,568 years, 6 weeks, 2 days, 10 hours, 5 minutes, 52 seconds.
• To count from 1 to 138,130,686,616,010,752 would take you about thirteen billion, one hundred seventy-six million, three hundred eighty-five thousand, seven hundred four 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 138130686616010752 cubic inches would be around 43077.3 feet tall.

Recreational maths with 138130686616010752

• 138130686616010752 backwards is 257010616686031831
• 138130686616010752 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138130686616010752's digits is 64
• More coming soon!