122216532185389824
122,216,532,185,389,824 is an even composite number composed of five prime numbers multiplied together.
What does the number 122216532185389824 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
122216532185389824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 122216532185389824:
28 × 33 × 73 × 13 × 3965416003
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 3965416003)See below for interesting mathematical facts about the number 122216532185389824 from the Numbermatics database.
Names of 122216532185389824
- Cardinal: 122216532185389824 can be written as One hundred twenty-two quadrillion, two hundred sixteen trillion, five hundred thirty-two billion, one hundred eighty-five million, three hundred eighty-nine thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.22216532185389824 × 1017
Factors of 122216532185389824
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 3965416028
Divisors of 122216532185389824
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 84 91 96 98 104 108 112 117 126 128 144 147 156 168 182 189 192 196 208 216 224 234 252 256 273 288 294 312 336 343 351 364 378 384 392 416 432 441 448 468 504 546 576 588 624 637 672 686 702 728 756 768 784 819 832 864 882 896 936 1008 1029 1092 1152 1176 1248 1274 1323 1344 1372 1404 1456 1512 1568 1638 1664 1728 1764 1792 1872 1911 2016 2058 2184 2304 2352 2457 2496 2548 2646 2688 2744 2808 2912 3024 3087 3136 3276 3328 3456 3528 3744 3822 4032 4116 4368 4459 4704 4914 4992 5096 5292 5376 5488 5616 5733 5824 6048 6174 6272 6552 6912 7056 7488 7644 8064 8232 8736 8918 9261 9408 9828 9984 10192 10584 10976 11232 11466 11648 12096 12348 12544 13104 13377 14112 14976 15288 16128 16464 17199 17472 17836 18522 18816 19656 20384 21168 21952 22464 22932 23296 24192 24696 26208 26754 28224 29952 30576 32928 34398 34944 35672 37044 37632 39312 40131 40768 42336 43904 44928 45864 48384 49392 52416 53508 56448 61152 65856 68796 69888 71344 74088 78624 80262 81536 84672 87808 89856 91728 98784 104832 107016 112896 120393 122304 131712 137592 142688 148176 157248 160524 163072 169344 183456 197568 209664 214032 240786 244608 263424 275184 285376 296352 314496 321048 338688 366912 395136 428064 481572 489216 550368 570752 592704 628992 642096 733824 790272 856128 963144 1100736 1141504 1185408 1284192 1467648 1712256 1926288 2201472 2370816 2568384 3424512 3852576 4402944 5136768 7705152 10273536 15410304 30820608 3965416003 7930832006 11896248009 15861664012 23792496018 27757912021 31723328024 35688744027 47584992036 51550408039 55515824042 63446656048 71377488054 83273736063 95169984072 103100816078 107066232081 111031648084 126893312096 142754976108 154651224117 166547472126 190339968144 194305384147 206201632156 214132464162 222063296168 249821208189 253786624192 285509952216 309302448234 333094944252 360852856273 380679936288 388610768294 412403264312 428264928324 444126592336 463953672351 499642416378 507573248384 571019904432 582916152441 618604896468 666189888504 721705712546 749463624567 761359872576 777221536588 824806528624 856529856648 888253184672 927907344702 999284832756 1015146496768 1082558568819 1142039808864 1165832304882 1237209792936 1332379777008 1360137689029 1391861017053 1443411425092 1498927249134 1522719745152 1554443073176 1649613057248 1713059713296 1748748457323 1776506369344 1855814689404 1998569665512 2165117137638 2284079617728 2331664609764 2474419585872 2525969993911 2664759554016 2720275378058 2783722034106 2886822850184 2997854498268 3045439490304 3108886146352 3247675706457 3299226114496 3426119426592 3497496914646 3553012738688 3711629378808 3997139331024 4080413067087 4330234275276 4568159235456 4663329219528 4948839171744 5051939987822 5246245371969 5329519108032 5440550756116 5567444068212 5773645700368 5995708996536 6217772292704 6495351412914 6598452228992 6852238853184 6994993829292 7106025477376 7423258757616 7577909981733 7994278662048 8160826134174 8660468550552 9136318470912 9326658439056 9743027119371 9897678343488 10103879975644 10492490743938 10659038216064 10881101512232 11134888136424 11547291400736 11991417993072 12241239201261 12435544585408 12990702825828 13196904457984 13704477706368 13989987658584 14846517515232 15155819963466 15988557324096 16321652268348 17320937101104 17681789957377 18653316878112 19486054238742 19795356686976 20207759951288 20984981487876 21318076432128 21762203024464 22269776272848 22733729945199 23094582801472 23982835986144 24482478402522 24871089170816 25981405651656 27408955412736 27979975317168 29693035030464 30311639926932 31977114648192 32643304536696 34641874202208 35363579914754 36723717603783 37306633756224 38972108477484 39590713373952 40415519902576 41969962975752 43524406048928 44539552545696 45467459890398 46189165602944 47965671972288 48964956805044 49742178341632 51962811303312 53045369872131 55959950634336 59386070060928 60623279853864 63954229296384 65286609073392 68201189835597 69283748404416 70727159829508 73447435207566 74613267512448 77944216954968 80831039805152 83939925951504 87048812097856 89079105091392 90934919780796 92378331205888 95931343944576 97929913610088 103925622606624 106090739744262 111919901268672 118772140121856 121246559707728 130573218146784 136402379671194 138567496808832 141454319659016 146894870415132 149226535024896 155888433909936 159136109616393 161662079610304 167879851903008 174097624195712 178158210182784 181869839561592 191862687889152 195859827220176 207851245213248 212181479488524 223839802537344 242493119415456 261146436293568 272804759342388 277134993617664 282908639318032 293789740830264 311776867819872 318272219232786 323324159220608 335759703806016 348195248391424 356316420365568 363739679123184 391719654440352 415702490426496 424362958977048 447679605074688 477408328849179 484986238830912 522292872587136 545609518684776 565817278636064 587579481660528 623553735639744 636544438465572 646648318441216 671519407612032 727479358246368 783439308880704 831404980852992 848725917954096 954816657698358 969972477661824 1044585745174272 1091219037369552 1131634557272128 1175158963321056 1247107471279488 1273088876931144 1343038815224064 1454958716492736 1566878617761408 1697451835908192 1909633315396716 1939944955323648 2182438074739104 2263269114544256 2350317926642112 2494214942558976 2546177753862288 2909917432985472 3133757235522816 3394903671816384 3819266630793432 4364876149478208 4526538229088512 4700635853284224 5092355507724576 5819834865970944 6789807343632768 7638533261586864 8729752298956416 9401271706568448 10184711015449152 13579614687265536 15277066523173728 17459504597912832 20369422030898304 30554133046347456 40738844061796608 61108266092694912 122216532185389824
- Sum of all divisors σ(n): 453897377481856000
- Sum of proper divisors (its aliquot sum) s(n): 331680845296466176
- 122216532185389824 is an abundant number, because the sum of its proper divisors (331680845296466176) is greater than itself. Its abundance is 209464313111076352
Bases of 122216532185389824
- Binary: 1101100100011001101001001110110101001011100011011000000002
- Hexadecimal: 0x1B23349DA971B00
- Base-36: XFE57SDTXC0
Squares and roots of 122216532185389824
- 122216532185389824 squared (1222165321853898242) is 14936880739422426749110122842750976
- 122216532185389824 cubed (1222165321853898243) is 1825533765638950371690786856605423456771215116468224
-
The
square root of 122216532185389824 is 349594811.4394574707 -
The
cube root of 122216532185389824 is 496260.8162968241
Scales and comparisons
How big is 122216532185389824?- 122,216,532,185,389,824 seconds is equal to 3,886,107,682 years, 48 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 122,216,532,185,389,824 would take you about eleven billion, six hundred fifty-eight million, three hundred twenty-three thousand and forty-eight 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 122216532185389824 cubic inches would be around 41355.1 feet tall.
Recreational maths with 122216532185389824
- 122216532185389824 backwards is 428983581235612221
- 122216532185389824 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 122216532185389824's digits is 72
- More coming soon!
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The information we have on file for 122216532185389824 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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