221998072122000020
221,998,072,122,000,020 is an even composite number composed of seven prime numbers multiplied together.
What does the number 221998072122000020 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
221998072122000020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 221998072122000020:
22 × 5 × 73 × 112 × 29 × 833 × 1272
(2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 29 × 83 × 83 × 83 × 127 × 127)See below for interesting mathematical facts about the number 221998072122000020 from the Numbermatics database.
Names of 221998072122000020
- Cardinal: 221998072122000020 can be written as Two hundred twenty-one quadrillion, nine hundred ninety-eight trillion, seventy-two billion, one hundred twenty-two million and twenty.
Scientific notation
- Scientific notation: 2.2199807212200002 × 1017
Factors of 221998072122000020
Divisors of 221998072122000020
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 10 11 14 20 22 28 29 35 44 49 55 58 70 77 83 98 110 116 121 127 140 145 154 166 196 203 220 242 245 254 290 308 319 332 343 385 406 415 484 490 508 539 580 581 605 635 638 686 770 812 830 847 889 913 980 1015 1078 1162 1210 1270 1276 1372 1397 1421 1540 1595 1660 1694 1715 1778 1826 2030 2156 2233 2324 2407 2420 2540 2695 2794 2842 2905 3190 3388 3430 3509 3556 3652 3683 3773 4060 4067 4235 4445 4466 4565 4814 5390 5588 5684 5810 5929 6223 6380 6391 6860 6889 6985 7018 7105 7366 7546 8134 8470 8890 8932 9130 9628 9779 9947 10043 10541 10780 11165 11620 11858 12035 12446 12782 13778 13970 14036 14210 14732 15092 15367 15631 16129 16268 16849 16940 17545 17780 18260 18415 18865 19558 19894 20086 20335 21082 22330 23716 24070 24563 24892 25564 25781 26477 27556 27940 28420 28469 29645 30734 31115 31262 31955 32258 33698 34445 35090 36830 37730 39116 39788 40172 40513 40670 41503 42164 43561 44660 44737 48140 48223 48895 49126 49735 50215 51562 52705 52954 56938 59290 61468 62230 62524 63910 64516 67396 68453 68890 70180 70301 73660 73787 75460 75779 76835 78155 80645 81026 81340 83006 84245 87122 89474 96446 97790 98252 99470 100430 103124 105410 105908 107569 109417 112903 113876 115951 117943 118580 122815 124460 127820 128905 132385 136906 137780 140602 142345 147574 151558 153670 156310 161290 162052 166012 168490 171941 174244 177419 178948 180467 185339 192892 195580 198940 199781 200860 202565 207515 210820 215138 217805 218834 223685 225806 231902 235886 241115 245630 257810 264770 273812 281204 283591 284690 291247 295148 303116 305689 307340 312620 313159 322580 336980 337561 342265 343882 351505 354838 360934 368935 370678 378895 399562 405130 415030 430276 435610 437668 445643 447370 451612 463804 467741 471772 479171 482230 491260 492107 515620 516509 529540 530453 537845 547085 564515 567182 569380 571787 579755 582494 589715 611378 626318 675122 684530 687764 703010 709676 721868 737870 741356 752983 757790 790321 799124 810260 811657 825601 830060 833569 859705 871220 874903 887095 891286 894740 902335 926695 935482 958342 964460 984214 998905 1033018 1060906 1075690 1094170 1129030 1134364 1143574 1159510 1164988 1179430 1203587 1222756 1241933 1252636 1263269 1275461 1297373 1338707 1350244 1369060 1398467 1406020 1417955 1456235 1475740 1505966 1515580 1528445 1565795 1580642 1623314 1651202 1667138 1687805 1719410 1749806 1774190 1782572 1804670 1853390 1870964 1916684 1951609 1968428 1985137 1997810 2038729 2066036 2121812 2139823 2151380 2188340 2197591 2228215 2258060 2287148 2319020 2338705 2358860 2362927 2395855 2407174 2460535 2483866 2526538 2550922 2582545 2594746 2652265 2677414 2796934 2835910 2858935 2912470 3011932 3056890 3119501 3131590 3161284 3246628 3274187 3302404 3334276 3362579 3375610 3438820 3444749 3499612 3548380 3609340 3615563 3706780 3713171 3764915 3903218 3951605 3970274 3995620 4002509 4058285 4077458 4128005 4167845 4279646 4374515 4395182 4456430 4677410 4725854 4791710 4814348 4921070 4967732 5053076 5101844 5145151 5165090 5189492 5270881 5304530 5354828 5532247 5593868 5671820 5681599 5717870 5824940 5834983 6017935 6113780 6124321 6209665 6239002 6263180 6289657 6316345 6377305 6486865 6548374 6693535 6725158 6751220 6889498 6992335 7231126 7426342 7529830 7806436 7903210 7940548 8005018 8116570 8154916 8256010 8335690 8559292 8693531 8749030 8790364 8912860 8928227 9081611 9354820 9370949 9451708 9583420 9623933 9758045 9789269 9842140 9925685 10193645 10290302 10330180 10541762 10609060 10699115 10987955 11064494 11363198 11435740 11669966 11814635 12035870 12248642 12419330 12478004 12579314 12632690 12754610 12973730 13096748 13387070 13450316 13661263 13778996 13895959 13984670 14271103 14462252 14725777 14852684 14978761 15059660 15383137 15597505 15806420 16010036 16233140 16370935 16512020 16581823 16671380 16812895 17223745 17387062 17498060 17856454 18077815 18163222 18565855 18741898 19247866 19516090 19578538 19851370 20012545 20387290 20580604 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147412406470 150431696723 152446598332 156562142044 157891119701 158743876060 162153647117 164413300205 165830216860 171113528740 174053202820 175733016580 177224726195 178752051940 181555496045 184447050460 188224881614 190558247915 191458523102 194126547230 195702677555 196627257134 202891755506 206377369058 209253291170 214902423890 222241426484 225558742430 230178620287 231648067310 237308758610 239558940236 246026223212 248114616673 249076135070 250252872716 253740211340 254812874041 258225870644 266322370580 267448223167 268892688020 273512175860 273983748577 277801783105 280896081620 292954607638 294824812940 299448675295 300863393446 307532779015 312816090895 315782239402 322782338305 324307294234 328826600410 354449452390 363110992090 376449763228 381116495830 382917046204 388253094460 389894397629 391405355110 393254514268 405783511012 412754738116 418506582340 419228145413 429804847780 430545890621 451117484860 451895273627 460357240574 463296134620 470562204035 474617517220 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7811332586981 7945528708733 8056251710045 8384562908260 8610917812420 8684011583555 8918450591435 9037905472540 9223019199086 9360687810845 9941696019794 10530218770610 10917043133612 11052378379070 11159046552830 11350755298190 11767721819348 12055284937388 12157616216977 12485830828009 12653067661556 13104962935183 13175741712980 13646303917015 13763907999380 14202422885420 14446415834060 14709652274185 15069106171735 15622665173962 15816334576945 15891057417466 16112503420090 17368023167110 17836901182870 18446038398172 18721375621690 19104825483821 19883392039588 20593513183859 21060437541220 22104756758140 22318093105660 22701510596380 23057547997715 24315232433954 24854240049485 24971661656018 26209925870366 27292607834030 29419304548370 30138212343470 31245330347924 31632669153890 31782114834932 32225006840180 32361235003207 34736046334220 34795936069279 35673802365740 37442751243380 38209650967642 39056662934905 39727643543665 41187026367718 46115095995430 48630464867908 49708480098970 49943323312036 52419851740732 54585215668060 54679328108867 58838609096740 60276424686940 60788081084885 62429154140045 63265338307780 64722470006414 65524814675915 69591872138558 76419301935284 78113325869810 79455287087330 82374052735436 87400815796063 91734740546281 92230191990860 95524127419105 99416960197940 102967565919295 109358656217734 121576162169770 124858308280090 129444940012828 131049629351830 133733778386747 139183744277116 144154592287013 156226651739620 158910574174660 161806175016035 173979680346395 174801631592126 183469481092562 191048254838210 205935131838590 218717312435468 226528645022449 243152324339540 249716616560180 262099258703660 267467556773494 273396640544335 288309184574026 323612350032070 347959360692790 349603263184252 366938962185124 382096509676420 382755296762069 411870263677180 437004078980315 453057290044898 458673702731405 534935113546988 546793281088670 576618369148052 647224700064140 668668891933735 695918721385580 720772961435065 765510593524138 874008157960630 906114580089796 917347405462810 1009082146009091 1093586562177340 1132643225112245 1337337783867470 1441545922870130 1531021187048276 1585700515157143 1748016315921260 1834694810925620 1913776483810345 2018164292018182 2265286450224490 2674675567734940 2883091845740260 3171401030314286 3827552967620690 4036328584036364 4530572900448980 5045410730045455 6342802060628572 7655105935241380 7928502575785715 10090821460090910 11099903606100001 15857005151571430 20181642920181820 22199807212200002 31714010303142860 44399614424400004 55499518030500005 110999036061000010 221998072122000020
- Sum of all divisors σ(n): 630697473282240000
- Sum of proper divisors (its aliquot sum) s(n): 408699401160239980
- 221998072122000020 is an abundant number, because the sum of its proper divisors (408699401160239980) is greater than itself. Its abundance is 186701329038239960
Bases of 221998072122000020
- Binary: 11000101001011001000010010000001011010011101000010100101002
- Hexadecimal: 0x314B21205A74294
- Base-36: 1OPVQYF52N4K
Squares and roots of 221998072122000020
- 221998072122000020 squared (2219980721220000202) is 49283144025884722462806884880000400
- 221998072122000020 cubed (2219980721220000203) is 10940762961857271037819036809842929370726546400008000
-
The
square root of 221998072122000020 is 471166713.7245584541 -
The
cube root of 221998072122000020 is 605503.1418839265
Scales and comparisons
How big is 221998072122000020?- 221,998,072,122,000,020 seconds is equal to 7,058,852,008 years, 18 weeks, 3 days, 16 hours, 20 seconds.
-
To count from 1 to 221,998,072,122,000,020 would take you about twenty-one billion, one hundred seventy-six million, five hundred fifty-six thousand and twenty-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 221998072122000020 cubic inches would be around 50458.6 feet tall.
Recreational maths with 221998072122000020
- 221998072122000020 backwards is 020000221270899122
- The number of decimal digits it has is: 18
- The sum of 221998072122000020's digits is 47
- More coming soon!
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"Number 221998072122000020 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 221998072122000020 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/221998072122000020/
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Numbermatics. 2024. "Number 221998072122000020 - Facts about the integer". https://numbermatics.com/n/221998072122000020/
The information we have on file for 221998072122000020 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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