220134221555068800
220,134,221,555,068,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 220134221555068800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
220134221555068800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 220134221555068800:
27 × 33 × 52 × 7 × 37 × 9837257863
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 37 × 9837257863)See below for interesting mathematical facts about the number 220134221555068800 from the Numbermatics database.
Names of 220134221555068800
- Cardinal: 220134221555068800 can be written as Two hundred twenty quadrillion, one hundred thirty-four trillion, two hundred twenty-one billion, five hundred fifty-five million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.201342215550688 × 1017
Factors of 220134221555068800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 9837257917
Divisors of 220134221555068800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 37 40 42 45 48 50 54 56 60 63 64 70 72 74 75 80 84 90 96 100 105 108 111 112 120 126 128 135 140 144 148 150 160 168 175 180 185 189 192 200 210 216 222 224 225 240 252 259 270 280 288 296 300 315 320 333 336 350 360 370 378 384 400 420 432 444 448 450 480 504 518 525 540 555 560 576 592 600 630 640 666 672 675 700 720 740 756 777 800 840 864 888 896 900 925 945 960 999 1008 1036 1050 1080 1110 1120 1152 1184 1200 1260 1295 1332 1344 1350 1400 1440 1480 1512 1554 1575 1600 1665 1680 1728 1776 1800 1850 1890 1920 1998 2016 2072 2100 2160 2220 2240 2331 2368 2400 2520 2590 2664 2688 2700 2775 2800 2880 2960 3024 3108 3150 3200 3330 3360 3456 3552 3600 3700 3780 3885 3996 4032 4144 4200 4320 4440 4480 4662 4725 4736 4800 4995 5040 5180 5328 5400 5550 5600 5760 5920 6048 6216 6300 6475 6660 6720 6993 7104 7200 7400 7560 7770 7992 8064 8288 8325 8400 8640 8880 9324 9450 9600 9990 10080 10360 10656 10800 11100 11200 11655 11840 12096 12432 12600 12950 13320 13440 13986 14208 14400 14800 15120 15540 15984 16576 16650 16800 17280 17760 18648 18900 19425 19980 20160 20720 21312 21600 22200 22400 23310 23680 24192 24864 24975 25200 25900 26640 27972 28800 29600 30240 31080 31968 33152 33300 33600 34965 35520 37296 37800 38850 39960 40320 41440 42624 43200 44400 46620 49728 49950 50400 51800 53280 55944 58275 59200 60480 62160 63936 66600 67200 69930 71040 74592 75600 77700 79920 82880 86400 88800 93240 99456 99900 100800 103600 106560 111888 116550 118400 120960 124320 127872 133200 139860 149184 151200 155400 159840 165760 174825 177600 186480 199800 201600 207200 213120 223776 233100 248640 266400 279720 298368 302400 310800 319680 349650 355200 372960 399600 414400 447552 466200 497280 532800 559440 604800 621600 639360 699300 745920 799200 828800 895104 932400 1065600 1118880 1243200 1398600 1491840 1598400 1864800 2237760 2486400 2797200 3196800 3729600 4475520 5594400 7459200 11188800 22377600 9837257863 19674515726 29511773589 39349031452 49186289315 59023547178 68860805041 78698062904 88535320767 98372578630 118047094356 137721610082 147558867945 157396125808 177070641534 196745157260 206582415123 236094188712 245931446575 265605962301 275443220164 295117735890 314792251616 344304025205 354141283068 363978540931 393490314520 413164830246 442676603835 472188377424 491862893150 531211924602 550886440328 590235471780 619747245369 629584503232 688608050410 708282566136 727957081862 737794339725 786980629040 826329660492 885353207670 944376754848 983725786300 1032912075615 1062423849204 1091935622793 1101772880656 1180470943560 1239494490738 1259169006464 1328029811505 1377216100820 1416565132272 1455914163724 1475588679450 1573961258080 1652659320984 1721520126025 1770706415340 1819892704655 1859241736107 1888753509696 1967451572600 2065824151230 2124847698408 2183871245586 2203545761312 2213383019175 2360941887120 2478988981476 2547849786517 2656059623010 2754432201640 2833130264544 2911828327448 2951177358900 3098736226845 3147922516160 3275806868379 3305318641968 3443040252050 3541412830680 3639785409310 3718483472214 3777507019392 3934903145200 4131648302460 4249695396816 4367742491172 4407091522624 4426766038350 4721883774240 4957977962952 5095699573034 5164560378075 5312119246020 5459678113965 5508864403280 5666260529088 5823656654896 5902354717800 6197472453690 6295845032320 6551613736758 6610637283936 6640149057525 6886080504100 7082825661360 7279570818620 7436966944428 7643549359551 7869806290400 8263296604920 8499390793632 8735484982344 8814183045248 8853532076700 9099463523275 9296208680535 9443767548480 9827420605137 9915955925904 10191399146068 10329120756150 10624238492040 10919356227930 11017728806560 11332521058176 11647313309792 11804709435600 12394944907380 12739248932585 13103227473516 13221274567872 13280298115050 13772161008200 14165651322720 14559141637240 14873933888856 15287098719102 15493681134225 15739612580800 16379034341895 16526593209840 16998781587264 17470969964688 17707064153400 18198927046550 18592417361070 18887535096960 19654841210274 19831911851808 20382798292136 20658241512300 21248476984080 21838712455860 22035457613120 22930648078653 23294626619584 23609418871200 24789889814760 25478497865170 26206454947032 26442549135744 26560596230100 27298390569825 27544322016400 28331302645440 29118283274480 29747867777712 30574197438204 30987362268450 31479225161600 32758068683790 33053186419680 33997563174528 34941939929376 35414128306800 36397854093100 37184834722140 38217746797755 39309682420548 39663823703616 40765596584272 41316483024600 42496953968160 43677424911720 44070915226240 45861296157306 46481043402675 46589253239168 47218837742400 49137103025685 49579779629520 50956995730340 52412909894064 53121192460200 54596781139650 55088644032800 56662605290880 58236566548960 59495735555424 61148394876408 61974724536900 63696244662925 65516137367580 66106372839360 68791944235959 69883879858752 70828256613600 72795708186200 74369669444280 76435493595510 78619364841096 79327647407232 81531193168544 81895171709475 82632966049200 84993907936320 87354849823440 91722592314612 92962086805350 94437675484800 98274206051370 99159559259040 101913991460680 104825819788128 106242384920400 109193562279300 110177288065600 114653240393265 116473133097920 118991471110848 122296789752816 123949449073800 127392489325850 131032274735160 132212745678720 137583888471918 139767759717504 141656513227200 145591416372400 148739338888560 152870987191020 157238729682192 163062386337088 163790343418950 165265932098400 169987815872640 174709699646880 183445184629224 185924173610700 191088733988775 196548412102740 198319118518080 203827982921360 209651639576256 212484769840800 218387124558600 220354576131200 229306480786530 232946266195840 237982942221696 244593579505632 245685515128425 247898898147600 254784978651700 262064549470320 275167776943836 283313026454400 291182832744800 297478677777120 305741974382040 314477459364384 326124772674176 327580686837900 330531864196800 343959721179795 349419399293760 366890369258448 371848347221400 382177467977550 393096824205480 396638237036160 407655965842720 419303279152512 424969539681600 436774249117200 458612961573060 489187159011264 491371030256850 495797796295200 509569957303400 524129098940640 550335553887672 573266201966325 582365665489600 594957355554240 611483948764080 628954918728768 655161373675800 661063728393600 687919442359590 698838798587520 733780738516896 743696694442800 764354935955100 786193648410960 815311931685440 849939079363200 873548498234400 917225923146120 978374318022528 982742060513700 991595592590400 1019139914606800 1048258197881280 1100671107775344 1146532403932650 1164731330979200 1189914711108480 1222967897528160 1257909837457536 1310322747351600 1375838884719180 1467561477033792 1487393388885600 1528709871910200 1572387296821920 1630623863370880 1719798605898975 1747096996468800 1834451846292240 1965484121027400 1983191185180800 2038279829213600 2096516395762560 2201342215550688 2293064807865300 2445935795056320 2620645494703200 2751677769438360 2935122954067584 2974786777771200 3057419743820400 3144774593643840 3439597211797950 3494193992937600 3668903692584480 3930968242054800 4076559658427200 4402684431101376 4586129615730600 4891871590112640 5241290989406400 5503355538876720 5949573555542400 6114839487640800 6289549187287680 6879194423595900 7337807385168960 7861936484109600 8153119316854400 8805368862202752 9172259231461200 10482581978812800 11006711077753440 12229678975281600 13758388847191800 14675614770337920 15723872968219200 18344518462922400 22013422155506880 24459357950563200 27516777694383600 31447745936438400 36689036925844800 44026844311013760 55033555388767200 73378073851689600 110067110777534400 220134221555068800
- Sum of all divisors σ(n): 945604444725427200
- Sum of proper divisors (its aliquot sum) s(n): 725470223170358400
- 220134221555068800 is an abundant number, because the sum of its proper divisors (725470223170358400) is greater than itself. Its abundance is 505336001615289600
Bases of 220134221555068800
- Binary: 11000011100001001011101000011111101011001001101111100000002
- Hexadecimal: 0x30E12E87EB26F80
- Base-36: 1O7J2HAGPUO0
Squares and roots of 220134221555068800
- 220134221555068800 squared (2201342215550688002) is 48459075499656117086910972733440000
- 220134221555068800 cubed (2201342215550688003) is 10667500862395105989515457603119224392223260672000000
-
The
square root of 220134221555068800 is 469184634.8241476673 -
The
cube root of 220134221555068800 is 603803.8169220701
Scales and comparisons
How big is 220134221555068800?- 220,134,221,555,068,800 seconds is equal to 6,999,587,325 years, 31 weeks.
-
To count from 1 to 220,134,221,555,068,800 would take you about twenty billion, nine hundred ninety-eight million, seven hundred sixty-one thousand, nine hundred seventy-six 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 220134221555068800 cubic inches would be around 50317 feet tall.
Recreational maths with 220134221555068800
- 220134221555068800 backwards is 008860555122431022
- 220134221555068800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 220134221555068800's digits is 54
- More coming soon!
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The information we have on file for 220134221555068800 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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