82125184128
82,125,184,128 is an even composite number composed of seven prime numbers multiplied together.
82125184128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 82125184128:
27 × 3 × 13 × 17 × 19 × 312 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 19 × 31 × 31 × 53)See below for interesting mathematical facts about the number 82125184128 from the Numbermatics database.
Names of 82125184128
- Cardinal: 82125184128 can be written as Eighty-two billion, one hundred twenty-five million, one hundred eighty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 8.2125184128 × 1010
Factors of 82125184128
Divisors of 82125184128
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 19 24 26 31 32 34 38 39 48 51 52 53 57 62 64 68 76 78 93 96 102 104 106 114 124 128 136 152 156 159 186 192 204 208 212 221 228 247 248 272 304 312 318 323 372 384 403 408 416 424 442 456 494 496 527 544 589 608 624 636 646 663 689 741 744 806 816 832 848 884 901 912 961 969 988 992 1007 1054 1088 1178 1209 1216 1248 1272 1292 1326 1378 1482 1488 1581 1612 1632 1643 1664 1696 1767 1768 1802 1824 1922 1938 1976 1984 2014 2067 2108 2176 2356 2418 2432 2496 2544 2584 2652 2703 2756 2883 2964 2976 3021 3162 3224 3264 3286 3392 3534 3536 3604 3648 3844 3876 3952 3968 4028 4134 4199 4216 4712 4836 4929 4992 5088 5168 5304 5406 5512 5766 5928 5952 6042 6324 6448 6528 6572 6784 6851 7068 7072 7208 7296 7657 7688 7752 7904 8056 8268 8398 8432 9424 9672 9858 10013 10176 10336 10608 10812 11024 11532 11713 11856 11904 12084 12493 12597 12648 12896 13091 13144 13702 14136 14144 14416 15314 15376 15504 15808 16112 16337 16536 16796 16864 17119 18259 18848 19344 19716 20026 20352 20553 20672 21216 21359 21624 22048 22971 23064 23426 23712 24168 24986 25194 25296 25792 26182 26288 27404 27931 28272 28288 28832 30039 30628 30752 31008 31217 31616 32224 32674 33072 33592 33728 34238 35139 36518 37479 37696 38688 39273 39432 40052 41106 41344 42432 42718 43248 44096 45942 46128 46852 47424 48336 49011 49972 50388 50592 50933 51357 51584 52364 52576 54777 54808 55862 56544 57664 60078 61256 61504 62016 62434 64077 64448 65348 66144 67184 67456 68476 70278 73036 74958 75392 77376 78546 78864 80104 82212 83793 84864 85436 86496 88192 91884 92256 93651 93704 94848 96672 98022 99944 100776 101184 101866 102714 104728 105152 109554 109616 111724 113088 115328 120156 122512 123008 124032 124868 128154 128896 130169 130696 132288 134368 136952 140556 146072 149916 152799 154752 157092 157728 160208 164424 167586 170872 172992 183768 184512 187302 187408 193344 196044 199888 201552 202368 203732 205428 209456 210304 212381 219108 219232 222547 223448 226176 237367 240312 245024 249736 256308 260338 261392 264576 268736 273904 281112 292144 299832 305598 310403 314184 315456 320416 328848 335172 341744 345984 363103 367536 369024 374604 374816 386688 390507 392088 399776 403104 405821 407464 410856 418912 424762 438216 438464 445094 446896 474734 480624 490048 499472 512616 520676 522784 530689 537472 547808 562224 584288 599664 611196 620806 628368 630912 637143 640832 657696 662129 667641 670344 683488 712101 726206 735072 749208 749632 781014 784176 799552 806208 811642 814928 821712 837824 849524 865861 876432 876928 890188 893792 931209 949468 961248 967727 980096 998944 1025232 1041352 1045568 1061378 1089309 1095616 1124448 1168576 1199328 1217463 1222392 1241612 1256736 1274286 1281664 1315392 1324258 1335282 1340688 1366976 1424202 1452412 1470144 1498416 1499264 1562028 1568352 1592067 1599104 1612416 1623284 1629856 1643424 1675648 1699048 1731722 1752864 1780376 1787584 1862418 1898936 1922496 1935454 1986387 1997888 2050464 2082704 2091136 2122756 2178618 2191232 2248896 2337152 2398656 2434926 2444784 2483224 2513472 2548572 2597583 2630784 2648516 2670564 2681376 2733952 2848404 2903181 2904824 2940288 2996832 3124056 3136704 3184134 3246568 3259712 3286848 3398096 3463444 3505728 3560752 3575168 3724836 3797872 3844992 3870908 3972774 3995776 4035239 4100928 4165408 4245512 4357236 4497792 4797312 4869852 4889568 4966448 5026944 5097144 5195166 5297032 5341128 5362752 5696808 5806362 5809648 5993664 6248112 6273408 6368268 6493136 6519424 6573696 6796192 6898957 6926888 7011456 7121504 7449672 7595744 7741816 7945548 8070478 8201856 8330816 8491024 8714472 9739704 9779136 9932896 10194288 10390332 10594064 10682256 10725504 11256193 11393616 11612724 11619296 11987328 12105717 12496224 12580451 12736536 12986272 13592384 13797914 13853776 14243008 14899344 15191488 15483632 15891096 16140956 16451359 16661632 16982048 17428944 19479408 19558272 19865792 20388576 20696871 20780664 21188128 21364512 22512386 22787232 23225448 23238592 24211434 24992448 25160902 25473072 25972544 27184768 27595828 27707552 28486016 29798688 30382976 30967264 31782192 32281912 32902718 33768579 33964096 34857888 37741353 38958816 39731584 40777152 41393742 41561328 42376256 42729024 45024772 45574464 46450896 46477184 48422868 49354077 49984896 50321804 50946144 51945088 55191656 55415104 59597376 61934528 63564384 64563824 65805436 67537158 67928192 69715776 75482706 77917632 81554304 82787484 83122656 84752512 85458048 90049544 91148928 92901792 96845736 98708154 100643608 101892288 110383312 110830208 119194752 123869056 127128768 129127648 131610872 135074316 139431552 150965412 155835264 165574968 166245312 180099088 185803584 193691472 197416308 201287216 203784576 213867667 220766624 254257536 258255296 263221744 270148632 301930824 331149936 332490624 360198176 371607168 387382944 394832616 402574432 427735334 441533248 516510592 526443488 540297264 603861648 641603001 662299872 720396352 774765888 789665232 805148864 855470668 883066496 1052886976 1080594528 1207723296 1283206002 1324599744 1440792704 1549531776 1579330464 1610297728 1710941336 2105773952 2161189056 2415446592 2566412004 2649199488 3158660928 3421882672 4322378112 4830893184 5132824008 6317321856 6843765344 10265648016 13687530688 20531296032 27375061376 41062592064 82125184128
- Sum of all divisors σ(n): 275659977600
- Sum of proper divisors (its aliquot sum) s(n): 193534793472
- 82125184128 is an abundant number, because the sum of its proper divisors (193534793472) is greater than itself. Its abundance is 111409609344
Bases of 82125184128
- Binary: 10011000111110000101011011100100000002
- Hexadecimal: 0x131F0ADC80
- Base-36: 11Q77PMO
Squares and roots of 82125184128
- 82125184128 squared (821251841282) is 6744545868057903120384
- 82125184128 cubed (821251841283) is 553897071273996887527121750065152
-
The
square root of 82125184128 is 286574.9188746285 -
The
cube root of 82125184128 is 4346.6911752081
Scales and comparisons
How big is 82125184128?- 82,125,184,128 seconds is equal to 2,611 years, 16 weeks, 6 days, 23 hours, 8 minutes, 48 seconds.
-
To count from 1 to 82,125,184,128 would take you about five thousand, two hundred twenty-two 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 82125184128 cubic inches would be around 362.2 feet tall.
Recreational maths with 82125184128
- 82125184128 backwards is 82148152128
- The number of decimal digits it has is: 11
- The sum of 82125184128's digits is 42
- More coming soon!
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The information we have on file for 82125184128 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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