21948164621838

Names of 21948164621838

• Cardinal: 21948164621838 can be written as Twenty-one trillion, nine hundred forty-eight billion, one hundred sixty-four million, six hundred twenty-one thousand, eight hundred thirty-eight.

Scientific notation

• Scientific notation: 2.1948164621838 × 10¹³

Factors of 21948164621838

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1303

Divisors of 21948164621838

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 43 54 58 63 78 86 87 91 113 117 126 129 174 182 189 203 226 234 258 261 273 301 339 351 377 378 387 406 522 546 559 602 609 678 702 754 774 783 791 819 841 903 1017 1093 1118 1131 1161 1218 1247 1469 1566 1582 1638 1677 1682 1806 1827 2034 2186 2262 2322 2373 2457 2494 2523 2639 2709 2938 3051 3277 3279 3354 3393 3654 3741 3913 4407 4746 4859 4914 5031 5046 5278 5418 5481 5887 6102 6554 6558 6786 7119 7482 7569 7651 7826 7917 8127 8729 8814 9718 9831 9837 10062 10179 10283 10933 10962 11223 11739 11774 13221 14209 14238 14577 15093 15138 15302 15834 16211 16254 17458 17661 19662 19674 20358 20566 21357 21866 22446 22707 22939 22953 23478 23751 26187 26442 28418 29154 29493 29511 30186 30849 31697 32422 32799 33669 34013 35217 35322 36163 39663 42601 42627 42714 43731 45414 45878 45906 46999 47502 48633 52374 52983 58986 59022 61698 63167 63394 65598 67338 68026 68817 68859 70434 71253 72326 76531 78561 79326 85202 85254 87462 88479 92547 93998 95033 95091 97266 98397 99463 102039 105651 105966 108489 113477 123509 126334 127803 127881 131193 137634 137718 140911 140997 142506 145899 153062 157122 158949 176958 185094 189501 190066 190182 196794 198926 204078 206451 206577 211302 216978 221879 226954 229593 235683 247018 253141 255606 255762 262386 277641 281822 281994 285099 285273 291798 295191 298207 298389 306117 317898 325467 328993 340431 370527 379002 383409 383643 412061 412902 413154 422733 422991 437697 442169 443758 459186 470119 471366 506282 555282 568503 570198 570546 590382 596414 596778 610987 612234 619353 650934 657986 665231 665637 680862 688779 741054 759423 766818 767286 824122 845466 845982 855297 855819 864563 875394 884338 894621 895167 918351 919213 940238 976401 986377 986979 1021293 1111581 1137006 1150227 1221974 1235429 1236183 1238706 1268199 1268973 1326507 1330462 1331274 1362971 1377558 1410357 1518846 1605617 1705509 1710594 1711638 1729126 1789242 1790334 1831843 1832961 1836702 1838426 1952802 1972754 1973958 1995693 1996911 2042586 2066337 2223162 2278269 2300454 2470858 2472366 2536398 2537946 2565891 2593689 2653014 2683863 2685501 2725942 2757639 2820714 2884427 2959131 2960937 3063879 3211234 3290833 3334743 3411018 3581761 3663686 3665922 3706287 3708549 3804597 3979521 3991386 3993822 4086419 4088913 4132674 4231071 4276909 4556538 4816851 5131782 5187378 5310887 5367726 5371002 5495529 5498883 5515278 5768854 5918262 5921874 5987079 5990733 6127758 6434491 6581666 6669486 6834807 7163522 7412574 7417098 7609194 7781067 7959042 8051589 8172838 8177826 8272917 8462142 8553818 8648003 8653281 8877393 8882811 9540797 9633702 9872499 10621774 10745283 10991058 10997766 11118861 11125647 11239319 11938563 11949769 11974158 11981466 12259257 12266739 12693213 12822901 12830727 12868982 13669614 14450553 15562134 15932661 16103178 16486587 16496649 16545834 17296006 17306562 17718623 17754786 17765622 17961237 19081594 19303473 19744998 21490566 22237722 22251294 22478638 23343201 23877126 23899538 24518514 24533478 24818751 25072327 25386426 25645802 25661454 25944009 25959843 26632179 28604933 28622391 28901106 29617497 31865322 32235849 32973174 32993298 33356583 33717957 35437246 35849307 35922474 36777771 36800217 37176209 38468703 38492181 38606946 39526159 43351659 46562893 46686402 47797983 49459761 49637502 50144654 51888018 51919686 53123447 53155869 53264358 57209866 57244782 57910419 59234994 64471698 66713166 67435914 69041531 71698614 73555542 73600434 74352418 75216981 76937406 76984362 77832027 77879529 79052318 83648383 85814799 85867173 86703318 88852491 93125786 95595966 96707547 98919522 101153871 103871069 106246894 106311738 107547921 110333313 111528627 115406109 115476543 115820838 118578477 124030361 138083062 139688679 143393949 150433962 154015723 155664054 155759058 159370341 159467607 167296766 171629598 171734346 173731257 177704982 193415094 202307742 207124593 207742138 215095842 220666626 223057254 225650943 230812218 230953086 233496081 237156954 248060722 250945149 257444397 257601519 276683113 279377358 286787898 303461613 308031446 311613207 318740682 318935214 322643763 325940251 334585881 346218327 347462514 355735431 371864129 372091083 414249186 419066037 451301886 462047169 466992162 478111023 478402821 483290717 501890298 513840067 514888794 515203038 553366226 606923226 621373779 623226414 645287526 651880502 669171762 676952829 692436654 711470862 727097483 743728258 744182166 752835447 772333191 830049339 838132074 924094338 934839621 956222046 956805642 966581434 977820753 1003757643 1027680134 1067206293 1078110061 1115592387 1116273249 1242747558 1257198111 1350323897 1353905658 1386141507 1434333069 1449872151 1454194966 1505670894 1541520201 1544666382 1660098678 1864121337 1869679242 1955641506 2002204399 2007515286 2134412586 2156220122 2181292449 2231184774 2232546498 2258506341 2490148017 2514396222 2700647794 2772283014 2804518863 2868666138 2899744302 2933462259 3083040402 3234330183 3346777161 3348819747 3596880469 3728242674 4004408798 4050971691 4158424521 4349616453 4362584898 4466455967 4517012682 4624560603 4980296034 5609037726 5866924518 6006613197 6468660366 6543877347 6693554322 6697639494 7193760938 7470444051 8101943382 8316849042 8699232906 8800386777 8932911934 9249121206 9452267279 9702990549 10040331483 10790641407 12013226394 12152915073 13048849359 13087754694 13399367901 13873681809 14015430793 14940888102 17600773554 18019839591 18904534558 19405981098 19631632041 20080662966 21581282814 24305830146 26097698718 26798735802 27747363618 28030861586 28356801837 29108971647 31265191769 32371924221 36039679182 36458745219 39263264082 40198103703 42046292379 54059518773 56713603674 58063927571 58217943294 62530383538 64743848442 72917490438 80396207406 84092584758 85070405511 93795575307 97115772663 108119037546 116127855142 120594311109 126138877137 170140811022 174191782713 187591150614 194231545326 241188622218 252277754274 255211216533 281386725921 348383565426 378416631411 406447492997 510422433066 522575348139 562773451842 756833262822 812894985994 844160177763 1045150696278 1219342478991 1567726044417 1688320355526 2438684957982 3135452088834 3658027436973 7316054873946 10974082310919 21948164621838
• Sum of all divisors σ(n): 64238038824960
• Sum of proper divisors (its aliquot sum) s(n): 42289874203122
• 21948164621838 is an abundant number, because the sum of its proper divisors (42289874203122) is greater than itself. Its abundance is 20341709581284

Bases of 21948164621838

• Binary: 100111111011000110100100011100100011000001110₂
• Hexadecimal: 0x13F6348E460E
• Base-36: 7S2UIJ47I

Squares and roots of 21948164621838

• 21948164621838 squared (21948164621838²) is 481721930267301197546498244
• 21948164621838 cubed (21948164621838³) is 10572912227456292194704983164943391052472
• The square root of 21948164621838 is 4684886.8312733019
• The cube root of 21948164621838 is 27998.3692170275

Scales and comparisons

• 21,948,164,621,838 seconds is equal to 697,883 years, 38 weeks, 5 days, 2 hours, 57 minutes, 18 seconds.
• To count from 1 to 21,948,164,621,838 would take you about one million, seven hundred forty-four thousand, seven hundred nine 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 21948164621838 cubic inches would be around 2333.2 feet tall.

Recreational maths with 21948164621838

• 21948164621838 backwards is 83812646184912
• 21948164621838 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21948164621838's digits is 63
• More coming soon!