21321014306821128

Names of 21321014306821128

• Cardinal: 21321014306821128 can be written as Twenty-one quadrillion, three hundred twenty-one trillion, fourteen billion, three hundred six million, eight hundred twenty-one thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 2.1321014306821128 × 10¹⁶

Factors of 21321014306821128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2164

Divisors of 21321014306821128

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 36 43 72 73 86 103 129 146 172 206 219 258 292 309 344 373 387 412 438 516 584 618 657 746 774 824 876 927 1032 1119 1236 1314 1492 1548 1567 1752 1854 2238 2472 2628 2984 3096 3134 3139 3357 3708 4429 4476 4701 5256 6268 6278 6714 7416 7519 8858 8952 9402 9417 12536 12556 13287 13428 14103 15038 16039 17716 18804 18834 22557 25112 26574 26856 27229 28206 28251 30076 32078 35432 37608 37668 38419 39861 45114 48117 53148 54458 56412 56502 60152 64156 67381 67671 75336 76838 79722 81687 90228 96234 106296 108916 112824 113004 114391 115257 128312 134762 135342 144351 153676 159444 161401 163374 180456 192468 202143 217832 226008 228782 230514 245061 269524 270684 288702 307352 318888 322802 323317 326748 343173 345771 384936 404286 457564 461028 484203 490122 539048 541368 577404 584491 606429 645604 646634 653496 686346 691542 808572 915128 922056 968406 969951 980244 1029519 1154808 1168982 1170847 1212858 1291208 1293268 1372692 1383084 1452609 1617144 1652017 1753473 1936812 1939902 1960488 2059038 2337964 2341694 2425716 2455489 2586536 2745384 2766168 2804587 2905218 2909853 3304034 3506946 3512541 3873624 3879804 4118076 4675928 4683388 4851432 4910978 4918813 4956051 5260419 5609174 5810436 5819706 6608068 6940243 7013892 7025082 7366467 7759608 8236152 8413761 9366776 9821956 9837626 9912102 10520838 10537623 11218348 11620872 11639412 11782273 13216136 13880486 14027784 14050164 14732934 14756439 14868153 16827522 19643912 19675252 19824204 20820729 21041676 21075246 22099401 22436696 23278824 23564546 25133113 25241283 27760972 28100328 29465868 29512878 29736306 33655044 35346819 39350504 39648408 41641458 42083352 42150492 42667843 44198802 44269317 47129092 50266226 50482566 55521944 58931736 59025756 59472612 60202573 62462187 67310088 70693638 75399339 83282916 84300984 85335686 88397604 88538634 94258184 100532452 100965132 105586027 106040457 118051512 118945224 120405146 120597241 124924374 128003529 141387276 150798678 166565832 170671372 176795208 177077268 179250697 180607719 201064904 201930264 211172054 212080914 226198017 240810292 241194482 249848748 252915367 256007058 282774552 301597356 316758081 341342744 354154536 358501394 361215438 361791723 384010587 422344108 424161828 452396034 481620584 482388964 499697496 505830734 506637739 512014116 537752091 541823157 603194712 633516162 717002788 722430876 723583446 758746101 768021174 844688216 848323656 904792068 915897397 950274243 964777928 1011661468 1013275478 1024028232 1075504182 1083646314 1085375169 1267032324 1434005576 1444861752 1447166892 1517492202 1519913217 1536042348 1613256273 1809584136 1831794794 1834717249 1900548486 2023322936 2026550956 2151008364 2167292628 2170750338 2276238303 2534064648 2588710639 2747692191 2894333784 3034984404 3039826434 3072084696 3226512546 3663589588 3669434498 3801096972 4053101912 4302016728 4334585256 4341500676 4394787829 4552476606 4559739651 5177421278 5495384382 5504151747 6069968808 6079652868 6453025092 7327179176 7338868996 7602193944 7707779971 7766131917 8243076573 8683001352 8789575658 9104953212 9119479302 10354842556 10875360781 10990768764 11008303494 12159305736 12906050184 13184363487 14677737992 15415559942 15532263834 16486153146 16512455241 17579151316 18209906424 18238958604 18462821791 20709685112 21750721562 21981537528 22016606988 23123339913 23298395751 26368726974 30831119884 31064527668 32626082343 32972306292 33024910482 35158302632 36477917208 36925643582 39383588071 39553090461 43501443124 44033213976 46246679826 46596791502 52737453948 55388465373 61662239768 62129055336 65252164686 65944612584 66049820964 66860509981 69370019739 73851287164 78767176142 79106180922 87002886248 92493359652 93193583004 94337431891 97878247029 105474907896 110776930746 118150764213 130504329372 132099641928 133721019962 138740039478 147702574328 157534352284 158212361844 166165396119 184986719304 186387166008 188674863782 188975876647 195756494058 200581529943 221553861492 236301528426 261008658744 267442039924 277480078956 283012295673 315068704568 316424723688 332330792238 354452292639 377349727564 377951753294 391512988116 401163059886 443107722984 472603056852 534884079848 554960157912 566024591346 566927629941 601744589829 664661584476 708904585278 754699455128 755903506588 783025976232 793901337013 802326119772 849036887019 945206113704 1132049182692 1133855259882 1203489179658 1329323168952 1417809170556 1511807013176 1587802674026 1604652239544 1698073774038 1700782889823 2264098365384 2267710519764 2381704011039 2406978359316 2835618341112 2875001929183 3175605348052 3396147548076 3401565779646 4056509571313 4535421039528 4763408022078 4813956718632 5750003858366 6351210696104 6792295096152 6803131559292 6886632528043 7145112033117 8113019142626 8625005787549 9526816044156 11500007716732 12169528713939 13606263118584 13773265056086 14290224066234 16226038285252 17250011575098 19053632088312 20659897584129 23000015433464 24339057427878 25875017362647 27546530112172 28580448132468 32452076570504 34500023150196 36508586141817 41319795168258 48678114855756 51750034725294 55093060224344 57160896264936 61979692752387 69000046300392 73017172283634 82639590336516 97356229711512 103500069450588 123959385504774 146034344567268 165279180673032 207000138901176 247918771009548 292068689134536 296125198705849 495837542019096 592250397411698 888375596117547 1184500794823396 1776751192235094 2369001589646792 2665126788352641 3553502384470188 5330253576705282 7107004768940376 10660507153410564 21321014306821128
• Sum of all divisors σ(n): 60679106985594240
• Sum of proper divisors (its aliquot sum) s(n): 39358092678773112
• 21321014306821128 is an abundant number, because the sum of its proper divisors (39358092678773112) is greater than itself. Its abundance is 18037078371951984

Bases of 21321014306821128

• Binary: 1001011101111110101100101111100000000100101010000001000₂
• Hexadecimal: 0x4BBF597C025408
• Base-36: 5TXO2R606Q0

Squares and roots of 21321014306821128

• 21321014306821128 squared (21321014306821128²) is 454585651071671225306788587192384
• 21321014306821128 cubed (21321014306821128³) is 9692227170174699432587767956340060337269611889152
• The square root of 21321014306821128 is 146017171.2738646641
• The cube root of 21321014306821128 is 277291.1148617249

Scales and comparisons

• 21,321,014,306,821,128 seconds is equal to 677,942,304 years, 37 weeks, 6 days, 12 hours, 58 minutes, 48 seconds.
• To count from 1 to 21,321,014,306,821,128 would take you about two billion, thirty-three million, eight hundred twenty-six thousand, nine hundred fourteen 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 21321014306821128 cubic inches would be around 23107.6 feet tall.

Recreational maths with 21321014306821128

• 21321014306821128 backwards is 82112860341012312
• The number of decimal digits it has is: 17
• The sum of 21321014306821128's digits is 45
• More coming soon!