21729138816189504

Names of 21729138816189504

• Cardinal: 21729138816189504 can be written as Twenty-one quadrillion, seven hundred twenty-nine trillion, one hundred thirty-eight billion, eight hundred sixteen million, one hundred eighty-nine thousand, five hundred four.

Scientific notation

• Scientific notation: 2.1729138816189504 × 10¹⁶

Factors of 21729138816189504

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 7580183

Divisors of 21729138816189504

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 101 112 147 168 192 196 202 224 294 303 336 343 392 404 431 448 588 606 672 686 707 784 808 862 1029 1176 1212 1293 1344 1372 1414 1568 1616 1724 2058 2121 2352 2424 2586 2744 2828 3017 3136 3232 3448 4116 4242 4704 4848 4949 5172 5488 5656 6034 6464 6896 8232 8484 9051 9408 9696 9898 10344 10976 11312 12068 13792 14847 16464 16968 18102 19392 19796 20688 21119 21952 22624 24136 27584 29694 32928 33936 34643 36204 39592 41376 42238 43531 45248 48272 59388 63357 65856 67872 69286 72408 79184 82752 84476 87062 96544 103929 118776 126714 130593 135744 138572 144816 147833 158368 168952 174124 193088 207858 237552 253428 261186 277144 289632 295666 304717 316736 337904 348248 415716 443499 475104 506856 522372 554288 579264 591332 609434 675808 696496 831432 886998 914151 950208 1013712 1044744 1108576 1182664 1218868 1351616 1392992 1662864 1773996 1828302 2027424 2089488 2133019 2217152 2365328 2437736 2785984 3325728 3547992 3656604 4054848 4178976 4266038 4730656 4875472 6399057 6651456 7095984 7313208 7579639 8357952 8532076 9461312 9750944 12798114 14191968 14626416 14931133 15159278 17064152 19501888 22738917 25596228 28383936 29252832 29862266 30318556 34128304 44793399 45477834 51192456 53057473 58505664 59724532 60637112 68256608 89586798 90955668 102384912 106114946 119449064 121274224 136513216 159172419 179173596 181911336 204769824 212229892 238898128 242548448 318344838 358347192 363822672 371402311 409539648 424459784 477796256 485096896 636689676 716694384 727645344 742804622 765543539 848919568 955592512 1114206933 1273379352 1433388768 1455290688 1485609244 1531087078 1697839136 2228413866 2296630617 2546758704 2599816177 2866777536 2971218488 3062174156 3266824409 3395678272 4456827732 4593261234 5093517408 5199632354 5358804773 5942436976 6124348312 6533648818 7799448531 8913655464 9186522468 9800473227 10187034816 10399264708 10717609546 11884873952 12248696624 13067297636 15598897062 16076414319 17827310928 18373044936 19600946454 20798529416 21435219092 22867770863 23769747904 24497393248 26134595272 31197794124 32152828638 35654621856 36746089872 37511633411 39201892908 41597058832 42870438184 45735541726 48994786496 52269190544 62395588248 64305657276 68603312589 71309243712 73492179744 75023266822 78403785816 83194117664 85740876368 91471083452 104538381088 112534900233 124791176496 128611314552 137206625178 146984359488 150046533644 156807571632 160074396041 166388235328 171481752736 182942166904 209076762176 225069800466 249582352992 257222629104 262581433877 274413250356 300093067288 313615143264 320148792082 329949265309 342963505472 365884333808 450139600932 480223188123 499164705984 514445258208 525162867754 548826500712 600186134576 627230286528 640297584164 659898530618 731768667616 787744301631 900279201864 960446376246 989847795927 1028890516416 1050325735508 1097653001424 1120520772287 1200372269152 1280595168328 1319797061236 1463537335232 1575488603262 1800558403728 1920892752492 1979695591854 2100651471016 2195306002848 2241041544574 2309644857163 2400744538304 2561190336656 2639594122472 3150977206524 3361562316861 3601116807456 3841785504984 3959391183708 4201302942032 4390612005696 4482083089148 4619289714326 5122380673312 5279188244944 6301954413048 6723124633722 6928934571489 7202233614912 7683571009968 7918782367416 8402605884064 8964166178296 9238579428652 10244761346624 10558376489888 12603908826096 13446249267444 13857869142978 15367142019936 15837564734832 16167514000141 16805211768128 17928332356592 18477158857304 21116752979776 25207817652192 26892498534888 27715738285956 30734284039872 31675129469664 32335028000282 35856664713184 36954317714608 48502542000423 50415635304384 53784997069776 55431476571912 63350258939328 64670056000564 71713329426368 73908635429216 97005084000846 107569994139552 110862953143824 113172598000987 129340112001128 147817270858432 194010168001692 215139988279104 221725906287648 226345196001974 258680224002256 339517794002961 388020336003384 443451812575296 452690392003948 517360448004512 679035588005922 776040672006768 905380784007896 1034720896009024 1358071176011844 1552081344013536 1810761568015792 2716142352023688 3104162688027072 3621523136031584 5432284704047376 7243046272063168 10864569408094752 21729138816189504
• Sum of all divisors σ(n): 67866617014272000
• Sum of proper divisors (its aliquot sum) s(n): 46137478198082496
• 21729138816189504 is an abundant number, because the sum of its proper divisors (46137478198082496) is greater than itself. Its abundance is 24408339381892992

Bases of 21729138816189504

• Binary: 1001101001100101000100101100000011010100000010001000000₂
• Hexadecimal: 0x4D3289606A0440
• Base-36: 5XYC4KDF51C

Squares and roots of 21729138816189504

• 21729138816189504 squared (21729138816189504²) is 472155473693233399300410439766016
• 21729138816189504 cubed (21729138816189504³) is 10259531830703980084172938233552393203254475096064
• The square root of 21729138816189504 is 147408069.0335149327
• The cube root of 21729138816189504 is 279049.2362080447

Scales and comparisons

• 21,729,138,816,189,504 seconds is equal to 690,919,401 years, 37 weeks, 1 day, 9 hours, 58 minutes, 24 seconds.
• To count from 1 to 21,729,138,816,189,504 would take you about two billion, seventy-two million, seven hundred fifty-eight thousand, two hundred 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 21729138816189504 cubic inches would be around 23254.1 feet tall.

Recreational maths with 21729138816189504

• 21729138816189504 backwards is 40598161883192712
• The number of decimal digits it has is: 17
• The sum of 21729138816189504's digits is 75
• More coming soon!