490146338680320
490,146,338,680,320 is an even composite number composed of seven prime numbers multiplied together.
490146338680320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 490146338680320:
29 × 3 × 5 × 72 × 163 × 227 × 35201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 163 × 227 × 35201)See below for interesting mathematical facts about the number 490146338680320 from the Numbermatics database.
Names of 490146338680320
- Cardinal: 490146338680320 can be written as Four hundred ninety trillion, one hundred forty-six billion, three hundred thirty-eight million, six hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.9014633868032 × 1014
Factors of 490146338680320
Divisors of 490146338680320
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 163 168 192 196 210 224 227 240 245 256 280 294 320 326 336 384 392 420 448 454 480 489 490 512 560 588 640 652 672 681 735 768 784 815 840 896 908 960 978 980 1120 1135 1141 1176 1280 1304 1344 1362 1470 1536 1568 1589 1630 1680 1792 1816 1920 1956 1960 2240 2270 2282 2352 2445 2560 2608 2688 2724 2940 3136 3178 3260 3360 3405 3423 3584 3632 3840 3912 3920 4480 4540 4564 4704 4767 4890 5216 5376 5448 5705 5880 6272 6356 6520 6720 6810 6846 7264 7680 7824 7840 7945 7987 8960 9080 9128 9408 9534 9780 10432 10752 10896 11123 11410 11760 12544 12712 13040 13440 13620 13692 14528 15648 15680 15890 15974 17115 17920 18160 18256 18816 19068 19560 20864 21792 22246 22820 23520 23835 23961 25088 25424 26080 26880 27240 27384 29056 31296 31360 31780 31948 33369 34230 35201 36320 36512 37001 37632 38136 39120 39935 41728 43584 44492 45640 47040 47670 47922 50848 52160 53760 54480 54768 55615 58112 62592 62720 63560 63896 66738 68460 70402 72640 73024 74002 75264 76272 78240 79870 83456 87168 88984 91280 94080 95340 95844 101696 104320 105603 108960 109536 111003 111230 116224 119805 125184 125440 127120 127792 133476 136920 140804 145280 146048 148004 152544 156480 159740 166845 174336 176005 177968 182560 185005 188160 190680 191688 203392 208640 211206 217920 219072 222006 222460 239610 246407 250368 254240 255584 259007 266952 273840 281608 290560 292096 296008 305088 312960 319480 333690 348672 352010 355936 365120 370010 376320 381360 383376 406784 417280 422412 435840 438144 444012 444920 479220 492814 508480 511168 518014 528015 533904 547680 555015 563216 581120 584192 592016 610176 625920 638960 667380 704020 711872 730240 739221 740020 762720 766752 777021 813568 844824 871680 876288 888024 889840 958440 985628 1016960 1022336 1036028 1056030 1067808 1095360 1110030 1126432 1184032 1220352 1232035 1251840 1277920 1295035 1334760 1408040 1423744 1460480 1478442 1480040 1525440 1533504 1554042 1689648 1724849 1743360 1752576 1776048 1779680 1813049 1916880 1971256 2033920 2044672 2072056 2112060 2135616 2190720 2220060 2252864 2368064 2440704 2464070 2555840 2590070 2669520 2816080 2847488 2920960 2956884 2960080 3050880 3067008 3108084 3379296 3449698 3552096 3559360 3626098 3696105 3833760 3885105 3942512 4067840 4089344 4144112 4224120 4271232 4381440 4440120 4505728 4736128 4928140 5111680 5174547 5180140 5339040 5439147 5632160 5694976 5737763 5913768 5920160 6101760 6134016 6216168 6758592 6899396 7104192 7118720 7252196 7392210 7667520 7770210 7885024 7990627 8288224 8448240 8542464 8624245 8762880 8880240 9011456 9065245 9472256 9856280 10223360 10349094 10360280 10678080 10878294 11264320 11475526 11827536 11840320 12203520 12268032 12432336 13517184 13798792 14208384 14237440 14504392 14784420 15335040 15540420 15770048 15981254 16576448 16896480 17084928 17213289 17248490 17760480 18022912 18130490 18944512 19712560 20446720 20698188 20720560 21356160 21756588 22528640 22951052 23655072 23680640 23971881 24864672 25872735 27034368 27195735 27597584 28416768 28474880 28688815 29008784 29568840 30670080 31080840 31540096 31962508 33152896 33792960 34426578 34496980 35520960 36260980 39425120 39953135 40164341 41396376 41441120 42712320 43513176 45057280 45902104 47310144 47361280 47943762 49729344 51745470 54068736 54391470 55195168 55934389 56833536 57377630 58017568 59137680 61340160 62161680 63080192 63925016 66305792 67585920 68853156 68993960 71041920 72521960 78850240 79906270 80328682 82792752 82882240 85424640 86066445 87026352 90114560 91804208 94620288 94722560 95887524 99458688 103490940 108782940 110390336 111868778 114755260 116035136 118275360 119859405 120493023 124323360 126160384 127850032 132611584 135171840 137706312 137987920 142083840 145043920 157700480 159812540 160657364 165585504 165764480 167803167 172132890 174052704 183608416 189240576 191775048 198917376 200821705 206981880 217565880 220780672 223737556 229510520 232070272 236550720 239718810 240986046 248646720 255700064 270343680 275412624 275975840 279671945 281150387 284167680 290087840 315400960 319625080 321314728 331171008 331528960 335606334 344265780 348105408 367216832 378481152 383550096 391540723 397834752 401643410 413963760 435131760 441561344 447475112 459021040 464140544 473101440 479437620 481972092 497293440 511400128 550825248 551951680 559343890 562300774 580175680 602465115 630801920 639250160 642629456 662342016 663057920 671212668 688531560 696210816 734433664 767100192 783081446 803286820 827927520 839015835 843451161 870263520 883122688 894950224 918042080 928281088 946202880 958875240 963944184 994586880 1022800256 1101650496 1103903360 1118687780 1124601548 1160351360 1174622169 1204930230 1278500320 1285258912 1302472201 1324684032 1342425336 1377063120 1392421632 1405751935 1468867328 1534200384 1566162892 1606573640 1655855040 1678031670 1686902322 1740527040 1789900448 1836084160 1892405760 1917750480 1927888368 1957703615 1989173760 2045600512 2203300992 2207806720 2237375560 2249203096 2320702720 2349244338 2409860460 2557000640 2570517824 2604944402 2649368064 2684850672 2754126240 2784843264 2811503870 2937734656 3068400768 3132325784 3213147280 3311710080 3356063340 3373804644 3481054080 3579800896 3672168320 3835500960 3855776736 3907416603 3915407230 4091201024 4217255805 4406601984 4415613440 4474751120 4498406192 4641405440 4698488676 4819720920 5114001280 5141035648 5209888804 5369701344 5508252480 5623007740 5873110845 6136801536 6264651568 6426294560 6512361005 6623420160 6712126680 6747609288 6962108160 7159601792 7344336640 7671001920 7711553472 7814833206 7830814460 8434511610 8813203968 8949502240 8996812384 9117305407 9396977352 9639441840 10228002560 10282071296 10419777608 10739402688 11016504960 11246015480 11746221690 12273603072 12529303136 12852589120 13024722010 13246840320 13424253360 13495218576 13924216320 14319203584 14688673280 15342003840 15423106944 15629666412 15661628920 16869023220 17899004480 17993624768 18234610814 18793954704 19278883680 19537083015 20456005120 20564142592 20839555216 21478805376 22033009920 22492030960 23492443380 25058606272 25705178240 26049444020 26848506720 26990437152 27351916221 28638407168 30684007680 30846213888 31259332824 31323257840 33738046440 35798008960 35987249536 36469221628 37587909408 38557767360 39074166030 41679110432 42957610752 44066019840 44984061920 45586527035 46984886760 50117212544 51410356480 52098888040 53697013440 53980874304 54703832442 61368015360 61692427776 62518665648 62646515680 63821137849 67476092880 71596017920 71974499072 72938443256 75175818816 77115534720 78148332060 83358220864 85915221504 89968123840 91173054070 93969773520 100234425088 102820712960 104197776080 107394026880 107961748608 109407664884 125037331296 125293031360 127642275698 134952185760 136759581105 143192035840 143948998144 145876886512 150351637632 154231069440 156296664120 166716441728 179936247680 182346108140 187939547040 191463413547 200468850176 208395552160 214788053760 215923497216 218815329768 250074662592 250586062720 255284551396 269904371520 273519162210 291753773024 300703275264 308462138880 312593328240 319105689245 333432883456 359872495360 364692216280 375879094080 382926827094 416791104320 429576107520 431846994432 437630659536 500149325184 501172125440 510569102792 539808743040 547038324420 583507546048 601406550528 625186656480 638211378490 666865766912 719744990720 729384432560 751758188160 765853654188 833582208640 875261319072 957317067735 1000298650368 1002344250880 1021138205584 1079617486080 1094076648840 1167015092096 1250373312960 1276422756980 1458768865120 1503516376320 1531707308376 1667164417280 1750522638144 1914634135470 2000597300736 2042276411168 2159234972160 2188153297680 2334030184192 2500746625920 2552845513960 2917537730240 3007032752640 3063414616752 3334328834560 3501045276288 3829268270940 4084552822336 4376306595360 4668060368384 5001493251840 5105691027920 5835075460480 6126829233504 7002090552576 7658536541880 8169105644672 8752613190720 10002986503680 10211382055840 11670150920960 12253658467008 14004181105152 15317073083760 16338211289344 17505226381440 20422764111680 23340301841920 24507316934016 30634146167520 32676422578688 35010452762880 40845528223360 49014633868032 61268292335040 70020905525760 81691056446720 98029267736064 122536584670080 163382112893440 245073169340160 490146338680320
- Sum of all divisors σ(n): 1842076935173376
- Sum of proper divisors (its aliquot sum) s(n): 1351930596493056
- 490146338680320 is an abundant number, because the sum of its proper divisors (1351930596493056) is greater than itself. Its abundance is 861784257812736
Bases of 490146338680320
- Binary: 11011110111001001000101100110011110101110000000002
- Hexadecimal: 0x1BDC91667AE00
- Base-36: 4TQQ4AUHHC
Squares and roots of 490146338680320
- 490146338680320 squared (4901463386803202) is 240243433321722957799155302400
- 490146338680320 cubed (4901463386803203) is 117754439234632096173219073614563946528768000
-
The
square root of 490146338680320 is 22139248.8282759947 -
The
cube root of 490146338680320 is 78845.1991179115
Scales and comparisons
How big is 490146338680320?- 490,146,338,680,320 seconds is equal to 15,585,137 years, 23 weeks, 2 days, 32 minutes.
-
To count from 1 to 490,146,338,680,320 would take you about thirty-eight million, nine hundred sixty-two thousand, eight hundred forty-three 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 490146338680320 cubic inches would be around 6570.4 feet tall.
Recreational maths with 490146338680320
- 490146338680320 backwards is 023086833641094
- The number of decimal digits it has is: 15
- The sum of 490146338680320's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 490146338680320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 490146338680320 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/490146338680320/
Chicago style:
Numbermatics. 2024. "Number 490146338680320 - Facts about the integer". https://numbermatics.com/n/490146338680320/
The information we have on file for 490146338680320 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!
Keywords: Divisors of 490146338680320, math, Factors of 490146338680320, curriculum, school, college, exams, university, Prime factorization of 490146338680320, STEM, science, technology, engineering, physics, economics, calculator, four hundred ninety trillion, one hundred forty-six billion, three hundred thirty-eight million, six hundred eighty thousand, three hundred twenty.