12728472355767168
12,728,472,355,767,168 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12728472355767168 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12728472355767168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12728472355767168:
27 × 32 × 72 × 11 × 13 × 17 × 96312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 13 × 17 × 9631 × 9631)See below for interesting mathematical facts about the number 12728472355767168 from the Numbermatics database.
Names of 12728472355767168
- Cardinal: 12728472355767168 can be written as Twelve quadrillion, seven hundred twenty-eight trillion, four hundred seventy-two billion, three hundred fifty-five million, seven hundred sixty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2728472355767168 × 1016
Factors of 12728472355767168
Divisors of 12728472355767168
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 28 32 33 34 36 39 42 44 48 49 51 52 56 63 64 66 68 72 77 78 84 88 91 96 98 99 102 104 112 117 119 126 128 132 136 143 144 147 153 154 156 168 176 182 187 192 196 198 204 208 221 224 231 234 238 252 264 272 273 286 288 294 306 308 312 336 352 357 364 374 384 392 396 408 416 429 441 442 448 462 468 476 504 528 539 544 546 561 572 576 588 612 616 624 637 663 672 693 704 714 728 748 784 792 816 819 832 833 858 882 884 896 924 936 952 1001 1008 1056 1071 1078 1088 1092 1122 1144 1152 1176 1224 1232 1248 1274 1287 1309 1326 1344 1386 1408 1428 1456 1496 1547 1568 1584 1617 1632 1638 1664 1666 1683 1716 1764 1768 1848 1872 1904 1911 1989 2002 2016 2112 2142 2156 2176 2184 2244 2288 2352 2431 2448 2464 2496 2499 2548 2574 2618 2652 2688 2772 2856 2912 2992 3003 3094 3136 3168 3234 3264 3276 3332 3366 3432 3528 3536 3696 3744 3808 3822 3927 3978 4004 4032 4224 4284 4312 4368 4488 4576 4641 4704 4851 4862 4896 4928 4992 4998 5096 5148 5236 5304 5544 5712 5733 5824 5984 6006 6188 6272 6336 6468 6528 6552 6664 6732 6864 7007 7056 7072 7293 7392 7488 7497 7616 7644 7854 7956 8008 8064 8568 8624 8736 8976 9009 9152 9163 9282 9408 9631 9702 9724 9792 9856 9996 10192 10296 10472 10608 10829 11088 11424 11466 11648 11781 11968 12012 12376 12672 12936 13104 13328 13464 13728 13923 14014 14112 14144 14586 14784 14976 14994 15232 15288 15708 15912 16016 17017 17136 17248 17472 17952 18018 18304 18326 18564 18816 19262 19404 19448 19584 19992 20384 20592 20944 21021 21216 21658 21879 22176 22848 22932 23562 23936 24024 24752 25872 26208 26656 26928 27456 27489 27846 28028 28224 28288 28893 29172 29568 29988 30576 31416 31824 32032 32487 34034 34272 34496 34944 35904 36036 36652 37128 38524 38808 38896 39984 40768 41184 41888 42042 42432 43316 43758 44352 45696 45864 47124 48048 49504 51051 51744 52416 53312 53856 54912 54978 55692 56056 56448 57786 58344 59976 61152 62832 63063 63648 64064 64974 67417 68068 68544 68992 71808 72072 73304 74256 77048 77616 77792 79968 81536 82368 82467 83776 84084 84864 86632 86679 87516 88704 91728 94248 96096 97461 99008 102102 103488 104832 105941 106624 107712 109956 111384 112112 115572 116688 119119 119952 122304 125203 125664 126126 127296 128128 129948 134834 136136 137088 144144 146608 148512 153153 154096 155232 155584 159936 163727 164736 164934 167552 168168 173264 173358 175032 183456 188496 192192 194922 198016 202251 204204 206976 211882 215424 219912 222768 224224 231144 233376 238238 239904 244608 250406 251328 252252 254592 259896 269668 272272 288288 293216 297024 306306 308192 310464 311168 317823 319872 327454 329868 336336 346528 346716 350064 357357 366912 375609 376992 384384 389844 404502 408408 423764 439824 445536 448448 462288 466752 471919 476476 479808 491181 500812 502656 504504 519792 539336 544544 576576 586432 594048 606753 612612 616384 620928 635646 654908 659736 672672 693056 693432 700128 714714 733824 741587 751218 753984 779688 809004 816816 847528 876421 879648 891072 896896 924576 933504 943838 952952 953469 959616 982362 1001624 1009008 1039584 1072071 1078672 1089088 1126827 1146089 1153152 1172864 1213506 1225224 1232768 1271292 1309816 1319472 1345344 1377233 1386112 1386864 1400256 1415757 1429428 1473543 1483174 1502436 1507968 1559376 1618008 1633632 1695056 1752842 1759296 1782144 1800997 1849152 1887676 1905904 1906938 1964724 2003248 2018016 2079168 2128451 2144142 2157344 2178176 2224761 2253654 2292178 2427012 2450448 2542584 2619632 2629263 2638944 2690688 2754466 2773728 2800512 2831514 2858856 2947086 2966348 3004872 3118752 3236016 3267264 3390112 3438267 3505684 3518592 3601994 3698304 3775352 3811808 3813876 3929448 4006496 4036032 4131699 4158336 4247271 4256902 4288284 4314688 4449522 4507308 4584356 4854024 4900896 5085168 5191109 5239264 5258526 5277888 5402991 5508932 5547456 5663028 5717712 5894172 5932696 6009744 6134947 6237504 6385353 6472032 6534528 6674283 6780224 6876534 7011368 7203988 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799929132464 810317822496 832579301136 835640254449 848904385472 849924703243 860962686402 872649962688 899920274022 901960909564 908268328512 914204722816 927190585356 945370792912 955017433656 971342517992 983957355888 1004456467469 1028480313168 1059646383264 1063542142026 1080423763328 1092760332741 1110105734848 1114187005932 1147950248536 1175406072192 1199893698696 1215476733744 1236254113808 1248868951704 1273356578208 1291444029603 1299884840254 1308974944032 1311943141184 1321614822528 1352941364346 1371307084224 1389116267136 1390785878034 1412861844352 1418056189368 1457013776988 1475936033832 1485582674576 1578431591737 1589469574896 1599858264928 1620635644992 1665158602272 1671280508898 1697808770944 1699849406486 1721925372804 1745299925376 1799840548044 1803921819128 1816536657024 1854381170712 1890741585824 1910034867312 1942685035984 1949827260381 1967914711776 2008912934938 2029412046519 2056960626336 2119292766528 2127084284052 2185520665482 2220211469696 2228374011864 2295900497072 2399787397392 2430953467488 2472508227616 2497737903408 2546713156416 2549774109729 2582888059206 2599769680508 2617949888064 2623886282368 2705882728692 2742614168448 2781571756068 2836112378736 2914027553976 2951872067664 2971165349152 3013369402407 3156863183474 3178939149792 3199716529856 3241271289984 3330317204544 3342561017796 3399698812972 3443850745608 3599681096088 3607843638256 3708762341424 3781483171648 3820069734624 3885370071968 3899654520762 3935829423552 4017825869876 4058824093038 4113921252672 4238585533056 4254168568104 4371041330964 4456748023728 4591800994144 4735294775211 4799574794784 4861906934976 4945016455232 4995475806816 5093426312832 5099548219458 5165776118412 5199539361016 5235899776128 5411765457384 5563143512136 5672224757472 5828055107952 5849481781143 5903744135328 5942330698304 6026738804814 6313726366948 6357878299584 6399433059712 6660634409088 6685122035592 6799397625944 6887701491216 7199362192176 7215687276512 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27197590503776 27550805964864 28411768651266 28797448768704 28862749106048 29670098731392 30597289316748 31197236166096 32142606959008 32470592744304 33147063426477 34033348544832 34968330647712 35653984189824 36160432828884 37882358201688 40796385755664 41326208947296 41596314888128 43294123659072 44196084568636 44505148097088 46624440863616 46795854249144 48213910438512 50509810935584 53480976284736 54395181007552 55101611929728 56823537302532 57594897537408 61194578633496 62394472332192 64285213918016 64941185488608 66294126852954 68066697089664 69936661295424 72320865657768 75764716403376 81592771511328 82652417894592 83192629776256 86588247318144 88392169137272 89010296194176 93591708498288 96427820877024 99441190279431 101019621871168 106961952569472 108790362015104 113647074605064 122389157266992 124788944664384 128570427836032 129882370977216 132588253705908 139873322590848 144641731315536 151529432806752 163185543022656 165304835789184 176784338274544 187183416996576 192855641754048 198882380558862 202039243742336 227294149210128 244778314533984 249577889328768 259764741954432 265176507411816 289283462631072 303058865613504 326371086045312 353568676549088 374366833993152 385711283508096 397764761117724 454588298420256 489556629067968 530353014823632 578566925262144 606117731227008 707137353098176 748733667986304 795529522235448 909176596840512 979113258135936 1060706029647264 1157133850524288 1414274706196352 1591059044470896 1818353193681024 2121412059294528 3182118088941792 4242824118589056 6364236177883584 12728472355767168
- Sum of all divisors σ(n): 53006366698936560
- Sum of proper divisors (its aliquot sum) s(n): 40277894343169392
- 12728472355767168 is an abundant number, because the sum of its proper divisors (40277894343169392) is greater than itself. Its abundance is 27549421987402224
Bases of 12728472355767168
- Binary: 1011010011100001111010011010010100110010000011100000002
- Hexadecimal: 0x2D387A694C8380
- Base-36: 3HBV7H57FK0
Squares and roots of 12728472355767168
- 12728472355767168 squared (127284723557671682) is 162014008511528999384869826740224
- 12728472355767168 cubed (127284723557671683) is 2062190828586023530332900274336672765748164165632
-
The
square root of 12728472355767168 is 112820531.6233138833 -
The
cube root of 12728472355767168 is 233484.8796935793
Scales and comparisons
How big is 12728472355767168?- 12,728,472,355,767,168 seconds is equal to 404,726,049 years, 8 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 12,728,472,355,767,168 would take you about one billion, two hundred fourteen million, one hundred seventy-eight thousand, one hundred forty-seven 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 12728472355767168 cubic inches would be around 19457.1 feet tall.
Recreational maths with 12728472355767168
- 12728472355767168 backwards is 86176755327482721
- The number of decimal digits it has is: 17
- The sum of 12728472355767168's digits is 81
- More coming soon!
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"Number 12728472355767168 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 12728472355767168 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/12728472355767168/
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Numbermatics. 2024. "Number 12728472355767168 - Facts about the integer". https://numbermatics.com/n/12728472355767168/
The information we have on file for 12728472355767168 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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