122220839537695076400
122,220,839,537,695,076,400 is an even composite number composed of six prime numbers multiplied together.
122220839537695076400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 122220839537695076400:
24 × 33 × 52 × 647 × 5407 × 3234899977
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 647 × 5407 × 3234899977)See below for interesting mathematical facts about the number 122220839537695076400 from the Numbermatics database.
Names of 122220839537695076400
- Cardinal: 122220839537695076400 can be written as One hundred twenty-two quintillion, two hundred twenty quadrillion, eight hundred thirty-nine trillion, five hundred thirty-seven billion, six hundred ninety-five million, seventy-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.222208395376950764 × 1020
Factors of 122220839537695076400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 3234906041
Divisors of 122220839537695076400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 647 675 720 900 1080 1200 1294 1350 1800 1941 2160 2588 2700 3235 3600 3882 5176 5400 5407 5823 6470 7764 9705 10352 10800 10814 11646 12940 15528 16175 16221 17469 19410 21628 23292 25880 27035 29115 31056 32350 32442 34938 38820 43256 46584 48525 48663 51760 54070 58230 64700 64884 69876 77640 81105 86512 87345 93168 97050 97326 108140 116460 129400 129768 135175 139752 145575 145989 155280 162210 174690 194100 194652 216280 232920 243315 258800 259536 270350 279504 291150 291978 324420 349380 388200 389304 405525 432560 436725 465840 486630 540700 582300 583956 648840 698760 729945 776400 778608 811050 873450 973260 1081400 1164600 1167912 1216575 1297680 1397520 1459890 1622100 1746900 1946520 2162800 2329200 2335824 2433150 2919780 3244200 3493800 3498329 3649725 3893040 4866300 5839560 6488400 6987600 6996658 7299450 9732600 10494987 11679120 13993316 14598900 17491645 19465200 20989974 27986632 29197800 31484961 34983290 41979948 52474935 55973264 58395600 62969922 69966580 83959896 87458225 94454883 104949870 125939844 139933160 157424805 167919792 174916450 188909766 209899740 251879688 262374675 279866320 314849610 349832900 377819532 419799480 472274415 503759376 524749350 629699220 699665800 755639064 787124025 839598960 944548830 1049498700 1259398440 1399331600 1511278128 1574248050 1889097660 2098997400 2361372075 2518796880 3148496100 3234899977 3778195320 4197994800 4722744150 6296992200 6469799954 7556390640 9445488300 9704699931 12593984400 12939599908 16174499885 18890976600 19409399862 25879199816 29114099793 32348999770 37781953200 38818799724 48523499655 51758399632 58228199586 64697999540 77637599448 80872499425 87342299379 97046999310 116456399172 129395999080 145570498965 155275198896 161744998850 174684598758 194093998620 232912798344 242617498275 258791998160 291140997930 323489997700 349369197516 388187997240 436711496895 465825596688 485234996550 582281995860 646979995400 698738395032 727852494825 776375994480 873422993790 970469993100 1164563991720 1293959990800 1397476790064 1455704989650 1746845987580 1940939986200 2092980285119 2183557484475 2329127983440 2911409979300 3493691975160 3881879972400 4185960570238 4367114968950 5822819958600 6278940855357 6987383950320 8371921140476 8734229937900 10464901425595 11645639917200 12557881710714 16743842280952 17468459875800 17491104175639 18836822566071 20929802851190 25115763421428 31394704276785 33487684561904 34936919751600 34982208351278 37673645132142 41859605702380 50231526842856 52324507127975 52473312526917 56510467698213 62789408553570 69964416702556 75347290264284 83719211404760 87455520878195 94184112830355 100463053685712 104649014255950 104946625053834 113020935396426 125578817107140 139928833405112 150694580528568 156973521383925 157419937580751 167438422809520 174911041756390 188368225660710 209298028511900 209893250107668 226041870792852 251157634214280 262366562634585 279857666810224 282552338491065 301389161057136 313947042767850 314839875161502 349822083512780 376736451321420 418596057023800 419786500215336 437277604390975 452083741585704 470920564151775 472259812742253 502315268428560 524733125269170 565104676982130 627894085535700 629679750323004 699644167025560 753472902642840 787099687903755 837192114047600 839573000430672 874555208781950 904167483171408 941841128303550 944519625484506 1049466250538340 1130209353964260 1255788171071400 1259359500646008 1311832813172925 1399288334051120 1412761692455325 1506945805285680 1574199375807510 1749110417563900 1883682256607100 1889039250969012 2098932501076680 2260418707928520 2361299063711265 2511576342142800 2518719001292016 2623665626345850 2825523384910650 3148398751615020 3498220835127800 3767364513214200 3778078501938024 3935498439518775 4197865002153360 4520837415857040 4722598127422530 5247331252691700 5651046769821300 6296797503230040 6996441670255600 7534729026428400 7556157003876048 7870996879037550 9445196254845060 10494662505383400 11302093539642600 11316744401638433 11806495318556325 12593595006460080 15741993758075100 18890392509690120 20989325010766800 22604187079285200 22633488803276866 23612990637112650 31483987516150200 33950233204915299 37780785019380240 45266977606553732 47225981274225300 56583722008192165 62967975032300400 67900466409830598 90533955213107464 94451962548450600 101850699614745897 113167444016384330 135800932819661196 169751166024576495 181067910426214928 188903925096901200 203701399229491794 226334888032768660 271601865639322392 282918610040960825 305552098844237691 339502332049152990 407402798458983588 452669776065537320 509253498073729485 543203731278644784 565837220081921650 611104197688475382 679004664098305980 814805596917967176 848755830122882475 905339552131074640 1018506996147458970 1131674440163843300 1222208395376950764 1358009328196611960 1527760494221188455 1629611193835934352 1697511660245764950 2037013992294917940 2263348880327686600 2444416790753901528 2546267490368647425 2716018656393223920 3055520988442376910 3395023320491529900 4074027984589835880 4526697760655373200 4888833581507803056 5092534980737294850 6111041976884753820 6790046640983059800 7638802471105942275 8148055969179671760 10185069961474589700 12222083953769507640 13580093281966119600 15277604942211884550 20370139922949179400 24444167907539015280 30555209884423769100 40740279845898358800 61110419768847538200 122220839537695076400
- Sum of all divisors σ(n): 435768591489916538880
- Sum of proper divisors (its aliquot sum) s(n): 313547751952221462480
- 122220839537695076400 is an abundant number, because the sum of its proper divisors (313547751952221462480) is greater than itself. Its abundance is 191326912414526386080
Bases of 122220839537695076400
- Binary: 11010100000001001111010011000000001011110100101010100110000001100002
- Hexadecimal: 0x6A027A6017A553030
- Base-36: PSKRBQ6S5A5O0
Squares and roots of 122220839537695076400
- 122220839537695076400 squared (1222208395376950764002) is 14937933617299008016670194384801836960000
- 122220839537695076400 cubed (1222208395376950764003) is 1825726787664643031276875621171262005331284163067543744000000
-
The
square root of 122220839537695076400 is 11055353433.4138352955 -
The
cube root of 122220839537695076400 is 4962666.4623658063
Scales and comparisons
How big is 122220839537695076400?- 122,220,839,537,695,076,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 122,220,839,537,695,076,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 122220839537695076400 cubic inches would be around 413555.5 feet tall.
Recreational maths with 122220839537695076400
- 122220839537695076400 backwards is 004670596735938022221
- The number of decimal digits it has is: 21
- The sum of 122220839537695076400's digits is 81
- More coming soon!
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The information we have on file for 122220839537695076400 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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