21138323029824

Names of 21138323029824

• Cardinal: 21138323029824 can be written as Twenty-one trillion, one hundred thirty-eight billion, three hundred twenty-three million, twenty-nine thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 2.1138323029824 × 10¹³

Factors of 21138323029824

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 913

Divisors of 21138323029824

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 121 132 143 154 156 168 169 176 182 192 208 224 231 242 264 273 286 308 312 336 338 352 363 364 416 429 448 462 484 507 528 546 572 616 624 672 676 704 726 728 832 847 858 877 924 968 1001 1014 1056 1092 1144 1183 1232 1248 1344 1352 1452 1456 1573 1694 1716 1754 1848 1859 1936 2002 2028 2112 2184 2288 2366 2464 2496 2541 2631 2704 2904 2912 3003 3146 3388 3432 3508 3549 3696 3718 3872 4004 4056 4368 4576 4719 4732 4928 5082 5262 5408 5577 5808 5824 6006 6139 6292 6776 6864 7016 7098 7392 7436 7744 8008 8112 8736 9152 9438 9464 9647 10164 10524 10816 11011 11154 11401 11616 12012 12278 12584 13013 13552 13728 14032 14196 14784 14872 16016 16224 17472 18417 18876 18928 19294 20328 20449 21048 22022 22308 22802 23232 24024 24556 25168 26026 27104 27456 28064 28392 28941 29744 32032 32448 33033 34203 36834 37752 37856 38588 39039 40656 40898 42096 44044 44616 45604 48048 49112 50336 52052 54208 56128 56784 57882 59488 61347 64064 66066 67529 68406 73668 75504 75712 77176 78078 79807 81312 81796 84192 88088 89232 91208 96096 98224 100672 104104 106117 113568 115764 118976 122694 125411 132132 135058 136812 143143 147336 148213 151008 154352 156156 159614 162624 163592 168384 176176 178464 182416 192192 196448 202587 208208 212234 227136 231528 239421 245388 250822 264264 270116 273624 286286 294672 296426 302016 308704 312312 318351 319228 327184 352352 356928 364832 376233 392896 405174 416416 424468 429429 444639 463056 478842 490776 501644 528528 540232 547248 572572 589344 592852 617408 624624 636702 638456 654368 704704 729664 742819 752466 769129 810348 832832 848936 858858 877877 889278 926112 957684 981552 1003288 1037491 1057056 1080464 1094496 1145144 1178688 1185704 1249248 1273404 1276912 1308736 1379521 1485638 1504932 1538258 1620696 1630343 1697872 1717716 1755754 1778556 1852224 1915368 1963104 2006576 2074982 2114112 2160928 2188992 2228457 2290288 2307387 2371408 2498496 2546808 2553824 2633631 2759042 2971276 3009864 3076516 3112473 3241392 3260686 3395744 3435432 3511508 3557112 3830736 3926208 4013152 4138563 4149964 4321856 4456914 4580576 4614774 4742816 4891029 5093616 5107648 5267262 5383903 5518084 5942552 6019728 6153032 6224946 6482784 6521372 6791488 6870864 7023016 7114224 7661472 8026304 8277126 8299928 8460419 8913828 9161152 9229548 9485632 9656647 9782058 9998677 10187232 10534524 10767806 11036168 11412401 11885104 12039456 12306064 12449892 12965568 13042744 13741728 14046032 14228448 15322944 16151709 16554252 16599856 16920838 17827656 17933773 18459096 19313294 19564116 19997354 20374464 21069048 21535612 22072336 22824802 23770208 24078912 24612128 24899784 25381257 26085488 27483456 28092064 28456896 28969941 29996031 32303418 33108504 33199712 33841676 34237203 35655312 35867546 36918192 38626588 39128232 39994708 42138096 43071224 44144672 45649604 47540416 49224256 49799568 50762514 52170976 53801319 56184128 57939882 59222933 59992062 64606836 66217008 66399424 67683352 68474406 69990739 71310624 71735092 73836384 77253176 78256464 79989416 84276192 86142448 88289344 91299208 93064609 99599136 101525028 104341952 107602638 109985447 115879764 118445866 119984124 125536411 129213672 129982801 132434016 135366704 136948812 139981478 142621248 143470184 147672768 154506352 156512928 159978832 168552384 172284896 177668799 182598416 186129218 199198272 203050056 209972217 215205276 219970894 231759528 236891732 239968248 251072822 258427344 259965602 264868032 270733408 273897624 279193827 279962956 286940368 309012704 313025856 319957664 329956341 344569792 355337598 365196832 372258436 376609233 389948403 406100112 419944434 430410552 439941788 463519056 473783464 479936496 502145644 516854688 519931204 541466816 547795248 558387654 559925912 573880736 618025408 639915328 651452263 659912682 710675196 730393664 744516872 753218466 769898129 779896806 812200224 839888868 860821104 879883576 909879607 927038112 947566928 959872992 1004291288 1033709376 1039862408 1095590496 1116775308 1119851824 1147761472 1209839917 1302904526 1319825364 1421350392 1429810811 1489033744 1506436932 1539796258 1559793612 1624400448 1679777736 1721642208 1759767152 1819759214 1854076224 1895133856 1919745984 1954356789 2008582576 2079724816 2191180992 2233550616 2239703648 2309694387 2419679834 2605809052 2639650728 2729638821 2842700784 2859621622 2978067488 3012873864 3079592516 3119587224 3359555472 3443284416 3519534304 3629519751 3639518428 3790267712 3908713578 4017165152 4159449632 4289432433 4467101232 4479407296 4619388774 4839359668 5211618104 5279301456 5459277642 5685401568 5719243244 5956134976 6025747728 6159185032 6239174448 6719110944 7039068608 7259039502 7279036856 7817427156 8034330304 8318899264 8468879419 8578864866 8934202464 9238777548 9678719336 10008675677 10423236208 10558602912 10918555284 11370803136 11438486488 12051495456 12318370064 12478348896 13438221888 14518079004 14558073712 15634854312 15727918921 16937758838 17157729732 17868404928 18477555096 19357438672 20017351354 20846472416 21117205824 21837110568 22876972976 24102990912 24636740128 24956697792 25406638257 29036158008 29116147424 30026027031 31269708624 31455837842 33875517676 34315459464 36955110192 38714877344 40034702708 41692944832 43674221136 45753945952 47183756763 49273480256 50813276514 58072316016 58232294848 60052054062 62539417248 62911675684 67751035352 68630918928 73910220384 77429754688 80069405416 87348442272 91507891904 94367513526 101626553028 110095432447 116144632032 120104108124 125078834496 125823351368 135502070704 137261837856 147820440768 160138810832 174696884544 188735027052 203253106056 220190864894 232289264064 240208216248 251646702736 271004141408 274523675712 320277621664 330286297341 377470054104 406506212112 440381729788 480416432496 503293405472 542008282816 640555243328 660572594682 754940108208 813012424224 880763459576 960832864992 1006586810944 1321145189364 1509880216416 1626024848448 1761526919152 1921665729984 2642290378728 3019760432832 3523053838304 5284580757456 7046107676608 10569161514912 21138323029824
• Sum of all divisors σ(n): 76164238315872
• Sum of proper divisors (its aliquot sum) s(n): 55025915286048
• 21138323029824 is an abundant number, because the sum of its proper divisors (55025915286048) is greater than itself. Its abundance is 33887592256224

Bases of 21138323029824

• Binary: 100110011100110100110001111000011111101000000₂
• Hexadecimal: 0x1339A63C3F40
• Base-36: 7HQT7R8LC

Squares and roots of 21138323029824

• 21138323029824 squared (21138323029824²) is 446828700513187691193470976
• 21138323029824 cubed (21138323029824³) is 9445209410444246340177154683967326388224
• The square root of 21138323029824 is 4597643.2038408549
• The cube root of 21138323029824 is 27649.6842894557

Scales and comparisons

• 21,138,323,029,824 seconds is equal to 672,133 years, 14 weeks, 6 days, 13 hours, 10 minutes, 24 seconds.
• To count from 1 to 21,138,323,029,824 would take you about one million, six hundred eighty thousand, three hundred thirty-three 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 21138323029824 cubic inches would be around 2304.1 feet tall.

Recreational maths with 21138323029824

• 21138323029824 backwards is 42892032383112
• 21138323029824 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21138323029824's digits is 48
• More coming soon!