21978806473728

Names of 21978806473728

• Cardinal: 21978806473728 can be written as Twenty-one trillion, nine hundred seventy-eight billion, eight hundred six million, four hundred seventy-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 2.1978806473728 × 10¹³

Factors of 21978806473728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3321

Divisors of 21978806473728

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 64 72 73 78 96 104 117 122 128 144 146 156 169 183 192 208 219 234 244 256 288 292 312 338 366 384 416 438 468 488 507 512 549 576 584 624 657 676 732 768 793 832 876 936 949 976 1014 1024 1098 1152 1168 1248 1314 1352 1464 1521 1536 1586 1664 1752 1872 1898 1952 2028 2196 2304 2336 2379 2496 2628 2704 2847 2928 3042 3072 3169 3172 3328 3504 3744 3796 3904 4056 4392 4453 4608 4672 4758 4992 5256 5408 5694 5856 6084 6338 6344 6656 7008 7137 7488 7592 7808 8112 8541 8784 8906 9216 9344 9507 9516 9984 10309 10512 10816 11388 11712 12168 12337 12676 12688 13312 13359 14016 14274 14976 15184 15616 16224 17082 17568 17812 18688 19014 19032 19968 20618 21024 21632 22776 23424 24336 24674 25352 25376 26718 28032 28521 28548 29952 30368 30927 31232 32448 34164 35136 35624 37011 37376 38028 38064 39936 40077 41197 41236 42048 43264 45552 46848 48672 49348 50704 50752 53436 56064 57042 57096 57889 59904 60736 61854 62464 64896 68328 70272 71248 74022 74752 76056 76128 80154 82394 82472 84096 86528 91104 92781 93696 97344 98696 101408 101504 106872 111033 112128 114084 114192 115778 119808 121472 123591 123708 129792 136656 140544 142496 148044 152112 152256 160308 164788 164944 168192 173056 173667 182208 185562 187392 193309 194688 197392 202816 203008 213744 222066 224256 228168 228384 231337 231556 242944 247182 247416 259584 273312 281088 284992 296088 304224 304512 320616 329576 329888 336384 347334 364416 370773 371124 386618 389376 394784 405632 406016 427488 444132 456336 456768 462674 463112 485888 494364 494832 519168 521001 535561 546624 562176 569984 579927 592176 608448 609024 641232 659152 659776 672768 694011 694668 728832 741546 742248 752557 773236 778752 789568 811264 812032 854976 888264 912672 913536 925348 926224 971776 988728 989664 1042002 1071122 1093248 1139968 1159854 1184352 1216896 1218048 1282464 1318304 1319552 1388022 1389336 1457664 1483092 1484496 1505114 1546472 1557504 1579136 1606683 1622528 1709952 1739781 1776528 1825344 1827072 1850696 1852448 1977456 1979328 2082033 2084004 2142244 2186496 2257671 2279936 2319708 2368704 2433792 2436096 2513017 2564928 2636608 2639104 2776044 2778672 2915328 2966184 2968992 3007381 3010228 3092944 3158272 3213366 3245056 3419904 3479562 3553056 3650688 3654144 3701392 3704896 3954912 3958656 4164066 4168008 4284488 4372992 4515342 4559872 4639416 4737408 4820049 4867584 5026034 5129856 5273216 5278208 5552088 5557344 5932368 5937984 6014762 6020456 6185888 6316544 6426732 6773013 6839808 6959124 7106112 7301376 7308288 7402784 7409792 7539051 7909824 7917312 8328132 8336016 8568976 8745984 9022143 9030684 9278832 9474816 9640098 9735168 10052068 10259712 10546432 10556416 11104176 11114688 11864736 11875968 12029524 12040912 12371776 12633088 12853464 13546026 13679616 13918248 14111557 14212224 14602752 14805568 14819584 15078102 15819648 15834624 16656264 16672032 17137952 18044286 18061368 18557664 18949632 19280196 20104136 20519424 21092864 22208352 22229376 22617153 23729472 23751936 24059048 24081824 24743552 25706928 27066429 27092052 27836496 28223114 28424448 29205504 29611136 29639168 30156204 31639296 31669248 32669221 33312528 33344064 34275904 36088572 36122736 37115328 37899264 38560392 39095953 40208272 41038848 42185728 42334671 44416704 44458752 45234306 47458944 47503872 48118096 48163648 49487104 51413856 54132858 54184104 55672992 56446228 56848896 59222272 59278336 60312408 63278592 65338442 66625056 66688128 68551808 72177144 72245472 74230656 77120784 78191906 80416544 84669342 88833408 88917504 90468612 94917888 95007744 96236192 96327296 98007663 98974208 102827712 108265716 108368208 111345984 112892456 113697792 117287859 118444544 120624816 126557184 127004013 130676884 133250112 133376256 137103616 144354288 144490944 148461312 154241568 156383812 160833088 169338684 177666816 177835008 180937224 183450241 189835776 192472384 192654592 196015326 197948416 205655424 216531432 216736416 222691968 225784912 234575718 236889088 241249632 254008026 261353768 266500224 266752512 274207232 288708576 288981888 294022989 296922624 308483136 312767624 321666176 338677368 351863577 355333632 361874448 366900482 379671552 384944768 385309184 392030652 411310848 433062864 433472832 445383936 451569824 469151436 482499264 508016052 522707536 533000448 533505024 548414464 550350723 577417152 577963776 588045978 593845248 616966272 625535248 643332352 677354736 703727154 710667264 723748896 733800964 769889536 770618368 784061304 822621696 866125728 866945664 890767872 903139648 938302872 964998528 1016032104 1045415072 1066000896 1100701446 1154834304 1155927552 1176091956 1233932544 1251070496 1286664704 1354709472 1407454308 1447497792 1467601928 1539779072 1568122608 1645243392 1651052169 1732251456 1733891328 1781535744 1806279296 1876605744 1929997056 2032064208 2090830144 2132001792 2201402892 2309668608 2311855104 2352183912 2384853133 2467865088 2502140992 2573329408 2709418944 2814908616 2894995584 2935203856 3079558144 3136245216 3302104338 3464502912 3467782656 3612558592 3753211488 3859994112 4064128416 4181660288 4402805784 4619337216 4704367824 4769706266 4935730176 5004281984 5418837888 5629817232 5789991168 5870407712 6272490432 6604208676 6929005824 6935565312 7154559399 7225117184 7506422976 7719988224 8128256832 8363320576 8805611568 9238674432 9408735648 9539412532 10008563968 10837675776 11259634464 11579982336 11740815424 12544980864 13208417352 13858011648 14309118798 14450234368 15012845952 16256513664 16726641152 17611223136 18817471296 19078825064 20017127936 21463678197 21675351552 22519268928 23159964672 23481630848 25089961728 26416834704 27716023296 28618237596 30025691904 32513027328 33453282304 35222446272 37634942592 38157650128 40034255872 42927356394 43350703104 45038537856 46963261696 50179923456 52833669408 57236475192 60051383808 65026054656 70444892544 75269885184 76315300256 85854712788 90077075712 93926523392 100359846912 105667338816 114472950384 120102767616 130052109312 140889785088 150539770368 152630600512 171709425576 180154151424 187853046784 211334677632 228945900768 281779570176 301079540736 305261201024 343418851152 360308302848 422669355264 457891801536 563559140352 610522402048 686837702304 845338710528 915783603072 1221044804096 1373675404608 1690677421056 1831567206144 2442089608192 2747350809216 3663134412288 5494701618432 7326268824576 10989403236864 21978806473728
• Sum of all divisors σ(n): 70826365479480
• Sum of proper divisors (its aliquot sum) s(n): 48847559005752
• 21978806473728 is an abundant number, because the sum of its proper divisors (48847559005752) is greater than itself. Its abundance is 26868752532024

Bases of 21978806473728

• Binary: 100111111110101010110111100111101010000000000₂
• Hexadecimal: 0x13FD56F3D400
• Base-36: 7SGX9WCG0

Squares and roots of 21978806473728

• 21978806473728 squared (21978806473728²) is 483067934009587841954217984
• 21978806473728 cubed (21978806473728³) is 10617256635260339560764447145334881124352
• The square root of 21978806473728 is 4688155.9779648971
• The cube root of 21978806473728 is 28011.3926741647

Scales and comparisons

• 21,978,806,473,728 seconds is equal to 698,858 years, 3 weeks, 1 day, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 21,978,806,473,728 would take you about one million, seven hundred forty-seven thousand, one hundred forty-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 21978806473728 cubic inches would be around 2334.3 feet tall.

Recreational maths with 21978806473728

• 21978806473728 backwards is 82737460887912
• 21978806473728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21978806473728's digits is 72
• More coming soon!