138166149733973144

Names of 138166149733973144

• Cardinal: 138166149733973144 can be written as One hundred thirty-eight quadrillion, one hundred sixty-six trillion, one hundred forty-nine billion, seven hundred thirty-three million, nine hundred seventy-three thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38166149733973144 × 10¹⁷

Factors of 138166149733973144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1499

Divisors of 138166149733973144

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 7 8 14 28 49 56 67 98 134 196 268 343 392 469 536 686 938 1372 1423 1876 2401 2744 2846 3283 3752 4489 4802 5692 6566 8978 9604 9961 11384 13132 16807 17956 19208 19922 22981 26264 31423 33614 35912 39844 45962 62846 67228 69727 79688 91924 95341 117649 125692 134456 139454 160867 183848 190682 219961 235298 251384 278908 300763 321734 381364 439922 470596 488089 557816 601526 643468 667387 762728 823543 879844 941192 976178 1126069 1203052 1286936 1334774 1539727 1647086 1759688 1952356 2105341 2252138 2406104 2669548 3079454 3294172 3416623 3904712 4210682 4504276 4671709 5339096 5764801 6158908 6387847 6588344 6833246 7882483 8421364 9008552 9343418 10778089 11529602 12317816 12775694 13666492 14737387 15764966 16842728 18686836 21556178 23059204 23916361 25551388 27332984 29474774 31529932 32701963 37373672 40353607 43112356 44714929 46118408 47832722 51102776 55177381 58949548 63059864 65403926 75446623 80707214 86224712 89429858 95665444 103161709 110354762 117899096 130807852 150893246 161414428 167414527 178859716 191330888 206323418 220709524 228913741 261615704 301786492 313004503 322828856 334829054 357719432 386241667 412646836 427985749 441419048 457827482 528126361 603572984 626009006 669658108 722131963 772483334 825293672 855971498 915654964 1056252722 1171901689 1252018012 1339316216 1444263926 1544966668 1602396187 1711942996 1831309928 2112505444 2191031521 2343803378 2504036024 2703691669 2888527852 2995900243 3089933336 3204792374 3423885992 3696884527 4225010888 4382063042 4687606756 5054923741 5407383338 5777055704 5991800486 6409584748 7393769054 8203311823 8764126084 9375213512 10109847482 10814766676 11216773309 11983600972 12819169496 14787538108 15337220647 16406623646 17528252168 20219694964 20971301701 21629533352 22433546618 23967201944 25878191689 29575076216 30674441294 32813247292 35384466187 40439389928 41942603402 44867093236 51756383378 57423182761 61348882588 65626494584 70768932374 78517413163 83885206804 89734186472 103512766756 107360544529 114846365522 122697765176 141537864748 146799111907 157034826326 167770413608 181147341823 207025533512 214721089058 229692731044 247691263309 283075729496 293598223814 314069652652 362294683646 429442178116 459385462088 495382526618 549621892141 587196447628 628139305304 724589367292 751523811703 858884356232 990765053236 1027593783349 1099243784282 1174392895256 1449178734584 1503047623406 1733838843163 1981530106472 2055187566698 2198487568564 3006095246812 3467677686326 3847353244987 4110375133396 4396975137128 5260666681921 6012190493624 6935355372652 7193156483443 7694706489974 8220750266792 10521333363842 12136871902141 13870710745304 14386312966886 15389412979948 21042666727684 24273743804282 28772625933772 30778825959896 36824666773447 42085333455368 48547487608564 50352095384101 57545251867544 73649333546894 97094975217128 100704190768202 147298667093788 201408381536404 257772667414129 294597334187576 352464667688707 402816763072808 515545334828258 704929335377414 1031090669656516 1409858670754828 2062181339313032 2467252673820949 2819717341509656 4934505347641898 9869010695283796 17270768716746643 19738021390567592 34541537433493286 69083074866986572 138166149733973144
• Sum of all divisors σ(n): 307033420080921600
• Sum of proper divisors (its aliquot sum) s(n): 168867270346948456
• 138166149733973144 is an abundant number, because the sum of its proper divisors (168867270346948456) is greater than itself. Its abundance is 30701120612975312

Bases of 138166149733973144

• Binary: 111101010110111010110000110010010111000000111110010011000₂
• Hexadecimal: 0x1EADD6192E07C98
• Base-36: 11SFT8XRC3O8

Squares and roots of 138166149733973144

• 138166149733973144 squared (138166149733973144²) is 19089884932310687090521488113244736
• 138166149733973144 cubed (138166149733973144³) is 2637575899961956169207670602986570297678530923369984
• The square root of 138166149733973144 is 371707075.1734127861
• The cube root of 138166149733973144 is 516972.2342212225

Scales and comparisons

• 138,166,149,733,973,144 seconds is equal to 4,393,256,185 years, 30 weeks, 14 hours, 45 minutes, 44 seconds.
• To count from 1 to 138,166,149,733,973,144 would take you about thirteen billion, one hundred seventy-nine million, seven hundred sixty-eight thousand, five hundred fifty-six 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 138166149733973144 cubic inches would be around 43081 feet tall.

Recreational maths with 138166149733973144

• 138166149733973144 backwards is 441379337941661831
• The number of decimal digits it has is: 18
• The sum of 138166149733973144's digits is 80
• More coming soon!