82229382144
82,229,382,144 is an even composite number composed of six prime numbers multiplied together.
82229382144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 82229382144:
210 × 33 × 73 × 13 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 23 × 29)See below for interesting mathematical facts about the number 82229382144 from the Numbermatics database.
Names of 82229382144
- Cardinal: 82229382144 can be written as Eighty-two billion, two hundred twenty-nine million, three hundred eighty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.2229382144 × 1010
Factors of 82229382144
Divisors of 82229382144
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 29 32 36 39 42 46 48 49 52 54 56 58 63 64 69 72 78 84 87 91 92 96 98 104 108 112 116 117 126 128 138 144 147 156 161 168 174 182 184 189 192 196 203 207 208 216 224 232 234 252 256 261 273 276 288 294 299 312 322 336 343 348 351 364 368 377 378 384 392 406 414 416 432 441 448 464 468 483 504 512 522 546 552 576 588 598 609 621 624 637 644 667 672 686 696 702 728 736 754 756 768 783 784 812 819 828 832 864 882 896 897 928 936 966 1008 1024 1029 1044 1092 1104 1127 1131 1152 1176 1196 1218 1242 1248 1274 1288 1323 1334 1344 1372 1392 1404 1421 1449 1456 1472 1508 1512 1536 1566 1568 1624 1638 1656 1664 1728 1764 1792 1794 1827 1856 1872 1911 1932 2001 2016 2058 2088 2093 2184 2208 2254 2262 2304 2352 2392 2436 2457 2484 2496 2548 2576 2639 2646 2668 2688 2691 2744 2784 2808 2842 2898 2912 2944 3016 3024 3072 3087 3132 3136 3248 3276 3312 3328 3381 3393 3456 3528 3584 3588 3654 3712 3744 3822 3864 4002 4032 4116 4176 4186 4263 4347 4368 4416 4459 4508 4524 4608 4669 4704 4784 4872 4914 4968 4992 5096 5152 5278 5292 5336 5376 5382 5481 5488 5568 5616 5684 5733 5796 5824 5888 6003 6032 6048 6174 6264 6272 6279 6496 6552 6624 6656 6762 6786 6912 7056 7168 7176 7308 7424 7488 7644 7728 7889 7917 8004 8064 8073 8232 8352 8372 8526 8671 8694 8736 8832 8918 9016 9048 9216 9261 9338 9408 9568 9744 9828 9936 9947 9984 10143 10179 10192 10304 10556 10584 10672 10752 10764 10962 10976 11136 11232 11368 11466 11592 11648 11776 12006 12064 12096 12348 12528 12544 12558 12789 12992 13104 13248 13312 13377 13524 13572 13824 14007 14112 14352 14616 14651 14848 14976 15288 15456 15778 15834 16008 16128 16146 16464 16704 16744 17052 17199 17342 17388 17472 17664 17836 18009 18032 18096 18473 18522 18676 18816 18837 19136 19488 19656 19872 19894 19968 20286 20358 20384 20608 21112 21168 21344 21504 21528 21924 21952 22272 22464 22736 22932 23184 23296 23552 23667 23751 24012 24128 24192 24696 25056 25088 25116 25578 25984 26013 26208 26496 26754 27048 27144 27648 28014 28224 28704 29232 29302 29696 29841 29952 30429 30576 30912 31556 31668 32016 32256 32292 32683 32928 33408 33488 34104 34398 34684 34776 34944 35328 35672 36018 36064 36192 36946 37044 37352 37632 37674 38272 38367 38976 39312 39744 39788 39936 40131 40572 40716 40768 41216 42021 42224 42336 42688 43056 43848 43904 43953 44544 44928 45472 45864 46368 46592 47334 47502 48024 48256 48384 49392 50112 50176 50232 51156 51968 52026 52416 52992 53508 54096 54288 55419 56028 56448 56511 57408 58464 58604 59682 59904 60697 60858 61152 61824 63112 63336 64032 64512 64584 65366 65856 66816 66976 68208 68796 69368 69552 69888 70656 71001 71253 71344 72036 72128 72384 73892 74088 74704 75264 75348 76544 76734 77952 78039 78624 79488 79576 80262 81144 81432 81536 82432 84042 84448 84672 85376 86112 87696 87808 87906 89088 89523 89856 90944 91728 92736 93184 94668 95004 96048 96512 96768 98049 98784 100224 100464 102312 102557 103936 104052 104832 105984 107016 108192 108576 110838 112056 112896 113022 114816 116928 117208 119364 119808 120393 121394 121716 122304 123648 126063 126224 126672 128064 129168 129311 130732 131712 131859 133632 133952 136416 137592 138736 139104 139776 142002 142506 142688 144072 144256 144768 147784 148176 149408 150528 150696 153088 153468 155904 156078 157248 158976 159152 160524 162288 162864 163072 164864 166257 168084 168896 169344 170752 172224 175392 175616 175812 179046 179712 181888 182091 183456 185472 189336 190008 192096 193024 193536 196098 197568 200448 200928 204624 205114 207872 208104 209664 211968 213003 214032 216384 217152 221676 224112 225792 226044 228781 229632 233856 234117 234416 238728 240786 242788 243432 244608 247296 252126 252448 253344 256128 258336 258622 261464 263424 263718 267264 267904 268569 272832 275184 277472 278208 279552 284004 285012 285376 288144 288512 289536 294147 295568 296352 298816 301392 306176 306936 307671 311808 312156 314496 317952 318304 321048 324576 325728 326144 332514 336168 337792 338688 341504 344448 350784 351232 351624 358092 359424 363776 364182 366912 370944 378672 380016 384192 386048 387933 392196 395136 395577 400896 401856 409248 410228 416208 419328 424879 426006 428064 432768 434304 443352 448224 451584 452088 457562 459264 467712 468234 468832 477456 481572 485576 486864 489216 494592 498771 504252 504896 506688 512256 516672 517244 522928 526848 527436 535808 537138 545664 546273 550368 554944 556416 568008 570024 570752 576288 577024 579072 588294 591136 592704 597632 602784 613872 615342 623616 624312 628992 635904 636608 642096 649152 651456 652288 665028 672336 675584 677376 683008 686343 688896 701568 703248 716184 727552 728364 733824 741888 757344 760032 768384 775866 784392 790272 791154 801792 803712 818496 820456 832416 838656 849758 852012 856128 865536 868608 882441 886704 896448 904176 915124 918528 923013 935424 936468 937664 954912 963144 971152 973728 978432 997542 1008504 1009792 1013376 1024512 1033344 1034488 1045856 1053696 1054872 1071616 1074276 1091328 1092546 1100736 1109888 1112832 1136016 1140048 1141504 1152576 1154048 1158144 1163799 1176588 1182272 1185408 1195264 1205568 1227744 1230684 1248624 1257984 1273216 1274637 1284192 1298304 1302912 1330056 1344672 1351168 1354752 1372686 1377792 1403136 1406496 1432368 1455104 1456728 1467648 1483776 1514688 1520064 1536768 1551732 1568784 1580544 1582308 1607424 1636992 1638819 1640912 1664832 1699516 1704024 1712256 1731072 1737216 1764882 1773408 1792896 1808352 1830248 1846026 1870848 1872936 1875328 1909824 1926288 1942304 1947456 1956864 1995084 2017008 2019584 2026752 2049024 2059029 2066688 2068976 2091712 2109744 2143232 2148552 2182656 2185092 2201472 2219776 2225664 2272032 2280096 2283008 2305152 2327598 2353176 2364544 2370816 2390528 2411136 2455488 2461368 2497248 2515968 2546432 2549274 2568384 2596608 2605824 2660112 2689344 2702336 2745372 2755584 2769039 2806272 2812992 2864736 2913456 2935296 2974153 3029376 3040128 3073536 3103464 3137568 3161088 3164616 3214848 3273984 3277638 3281824 3329664 3399032 3408048 3424512 3462144 3474432 3491397 3529764 3546816 3585792 3616704 3660496 3692052 3745872 3750656 3819648 3823911 3852576 3884608 3894912 3990168 4034016 4039168 4053504 4118058 4133376 4137952 4183424 4219488 4297104 4365312 4370184 4402944 4439552 4451328 4544064 4560192 4566016 4610304 4655196 4706352 4729088 4741632 4781056 4822272 4910976 4922736 4994496 5092864 5098548 5136768 5193216 5211648 5320224 5378688 5490744 5538078 5612544 5625984 5729472 5826912 5870592 5948306 6058752 6080256 6147072 6177087 6206928 6275136 6329232 6429696 6547968 6555276 6563648 6659328 6798064 6816096 6849024 6982794 7059528 7093632 7171584 7233408 7320992 7384104 7491744 7501312 7639296 7647822 7705152 7769216 7789824 7980336 8068032 8078336 8107008 8236116 8266752 8275904 8366848 8438976 8594208 8740368 8805888 8879104 8922459 9088128 9120384 9220608 9310392 9412704 9458176 9483264 9644544 9821952 9845472 9988992 10185728 10197096 10273536 10386432 10423296 10640448 10757376 10981488 11076156 11251968 11458944 11471733 11653824 11896612 12117504 12160512 12354174 12413856 12550272 12658464 13095936 13110552 13127296 13318656 13596128 13632192 13698048 13965588 14119056 14187264 14343168 14466816 14641984 14768208 14983488 15002624 15278592 15295644 15410304 15538432 15579648 15960672 16136064 16472232 16551808 16733696 16877952 17188416 17480736 17611776 17844918 18176256 18240768 18441216 18620784 18825408 18916352 19289088 19643904 19690944 19977984 20394192 20547072 21280896 21514752 21962976 22152312 22503936 22917888 22943466 23307648 23793224 24235008 24321024 24708348 24827712 25100544 25316928 26221104 26254592 26637312 26767377 27192256 27264384 27931176 28238112 28374528 28933632 29283968 29536416 29966976 30557184 30591288 30820608 31076864 31159296 31921344 32272128 32944464 33103616 33467392 33755904 34376832 34961472 35689836 36352512 36481536 37241568 37650816 39287808 39381888 39955968 40788384 41094144 42561792 43029504 43925952 44304624 45007872 45835776 45886932 46615296 47586448 49416696 49655424 50201088 50633856 52442208 52509184 53534754 54384512 54528768 55862352 56476224 56749056 57867264 58567936 59072832 59933952 61182576 61641216 62153728 63842688 64544256 65888928 66207232 67511808 68753664 69922944 71379672 72705024 72963072 74483136 75301632 78763776 79911936 80302131 81576768 85123584 87851904 88609248 91671552 91773864 93230592 95172896 98833392 99310848 100402176 101267712 104884416 105018368 107069508 108769024 109057536 111724704 112952448 117135872 118145664 119867904 122365152 123282432 127685376 129088512 131777856 132414464 135023616 137507328 139845888 142759344 148966272 150603264 157527552 160604262 163153536 170247168 175703808 177218496 183547728 186461184 190345792 197666784 198621696 202535424 209768832 214139016 217538048 218115072 223449408 225904896 234271744 236291328 239735808 244730304 255370752 263555712 275014656 279691776 285518688 297932544 301206528 315055104 321208524 326307072 351407616 354436992 367095456 380691584 395333568 397243392 405070848 419537664 428278032 435076096 446898816 451809792 472582656 489460608 510741504 527111424 559383552 571037376 595865088 642417048 652614144 702815232 708873984 734190912 761383168 790667136 839075328 856556064 893797632 903619584 945165312 978921216 1054222848 1142074752 1191730176 1284834096 1305228288 1417747968 1468381824 1522766336 1581334272 1678150656 1713112128 1787595264 1957842432 2108445696 2284149504 2569668192 2835495936 2936763648 3045532672 3162668544 3426224256 3575190528 3915684864 4568299008 5139336384 5873527296 6325337088 6852448512 9136598016 10278672768 11747054592 13704897024 20557345536 27409794048 41114691072 82229382144
- Sum of all divisors σ(n): 330140160000
- Sum of proper divisors (its aliquot sum) s(n): 247910777856
- 82229382144 is an abundant number, because the sum of its proper divisors (247910777856) is greater than itself. Its abundance is 165681395712
Bases of 82229382144
- Binary: 10011001001010100000011001100000000002
- Hexadecimal: 0x132540CC00
- Base-36: 11RX91C0
Squares and roots of 82229382144
- 82229382144 squared (822293821442) is 6761671287783986036736
- 82229382144 cubed (822293821443) is 556008052255301986738324566441984
-
The
square root of 82229382144 is 286756.6601563075 -
The
cube root of 82229382144 is 4348.5287162225
Scales and comparisons
How big is 82229382144?- 82,229,382,144 seconds is equal to 2,614 years, 33 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 82,229,382,144 would take you about five thousand, two hundred twenty-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 82229382144 cubic inches would be around 362.4 feet tall.
Recreational maths with 82229382144
- 82229382144 backwards is 44128392228
- The number of decimal digits it has is: 11
- The sum of 82229382144's digits is 45
- More coming soon!
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The information we have on file for 82229382144 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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