12828664627200
12,828,664,627,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 12828664627200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
12828664627200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12828664627200:
215 × 32 × 52 × 31 × 372 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 37 × 37 × 41)See below for interesting mathematical facts about the number 12828664627200 from the Numbermatics database.
Names of 12828664627200
- Cardinal: 12828664627200 can be written as Twelve trillion, eight hundred twenty-eight billion, six hundred sixty-four million, six hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.28286646272 × 1013
Factors of 12828664627200
Divisors of 12828664627200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 37 40 41 45 48 50 60 62 64 72 74 75 80 82 90 93 96 100 111 120 123 124 128 144 148 150 155 160 164 180 185 186 192 200 205 222 225 240 246 248 256 279 288 296 300 310 320 328 333 360 369 370 372 384 400 410 444 450 465 480 492 496 512 555 558 576 592 600 615 620 640 656 666 720 738 740 744 768 775 800 820 888 900 925 930 960 984 992 1024 1025 1110 1116 1147 1152 1184 1200 1230 1240 1271 1280 1312 1332 1369 1395 1440 1476 1480 1488 1517 1536 1550 1600 1640 1665 1776 1800 1845 1850 1860 1920 1968 1984 2048 2050 2220 2232 2294 2304 2325 2368 2400 2460 2480 2542 2560 2624 2664 2738 2775 2790 2880 2952 2960 2976 3034 3072 3075 3100 3200 3280 3330 3441 3552 3600 3690 3700 3720 3813 3840 3936 3968 4096 4100 4107 4440 4464 4551 4588 4608 4650 4736 4800 4920 4960 5084 5120 5248 5328 5476 5550 5580 5735 5760 5904 5920 5952 6068 6144 6150 6200 6355 6400 6560 6660 6845 6882 6975 7104 7200 7380 7400 7440 7585 7626 7680 7872 7936 8192 8200 8214 8325 8880 8928 9102 9176 9216 9225 9300 9472 9600 9840 9920 10168 10240 10323 10496 10656 10952 11100 11160 11439 11470 11520 11808 11840 11904 12136 12288 12300 12321 12400 12710 12800 13120 13320 13653 13690 13764 13950 14208 14400 14760 14800 14880 15170 15252 15360 15744 15872 16384 16400 16428 16650 17205 17760 17856 18204 18352 18432 18450 18600 18944 19065 19200 19680 19840 20336 20480 20535 20646 20992 21312 21904 22200 22320 22755 22878 22940 23040 23616 23680 23808 24272 24576 24600 24642 24800 25420 25600 26240 26640 27306 27380 27528 27900 28416 28675 28800 29520 29600 29760 30340 30504 30720 31488 31744 31775 32768 32800 32856 33300 34225 34410 35520 35712 36408 36704 36864 36900 37200 37888 37925 38130 38400 39360 39680 40672 40960 41070 41292 41984 42439 42624 43808 44400 44640 45510 45756 45880 46080 47027 47232 47360 47616 48544 49152 49200 49284 49600 50840 51200 51615 52480 53280 54612 54760 55056 55800 56129 56832 57195 57350 57600 59040 59200 59520 60680 61008 61440 61605 62976 63488 63550 65600 65712 66600 68265 68450 68820 71040 71424 72816 73408 73728 73800 74400 75776 75850 76260 76800 78720 79360 81344 81920 82140 82584 83968 84878 85248 86025 87616 88800 89280 91020 91512 91760 92160 94054 94464 94720 95232 95325 97088 98304 98400 98568 99200 101680 102400 102675 103230 104960 106560 109224 109520 110112 111600 112258 113664 113775 114390 114700 115200 118080 118400 119040 121360 122016 122880 123210 125952 126976 127100 127317 131200 131424 133200 136530 136900 137640 141081 142080 142848 145632 146816 147456 147600 148800 151552 151700 152520 153600 157440 158720 162688 163840 164280 165168 167936 168387 169756 170496 172050 175232 177600 178560 182040 183024 183520 184320 188108 188928 189440 190464 190650 194176 196800 197136 198400 203360 204800 205350 206460 209920 212195 213120 218448 219040 220224 223200 224516 227328 227550 228780 229400 230400 235135 236160 236800 238080 242720 244032 245760 246420 251904 253952 254200 254634 258075 262400 262848 266400 273060 273800 275280 280645 282162 284160 285696 285975 291264 293632 294912 295200 297600 303104 303400 305040 307200 308025 314880 317440 325376 328560 330336 335872 336774 339512 340992 341325 344100 350464 355200 357120 364080 366048 367040 368640 376216 377856 378880 380928 381300 381951 388352 393600 394272 396800 406720 409600 410700 412920 419840 423243 424390 426240 436896 438080 440448 446400 449032 454656 455100 457560 458800 460800 470270 472320 473600 476160 485440 488064 491520 492840 503808 505161 507904 508400 509268 516150 524800 525696 532800 546120 547600 550560 561290 564324 568320 571392 571950 582528 587264 590400 595200 606208 606800 610080 614400 616050 629760 634880 636585 650752 657120 660672 671744 673548 679024 681984 682650 688200 700928 705405 710400 714240 728160 732096 734080 737280 752432 755712 757760 761856 762600 763902 776704 787200 788544 793600 813440 819200 821400 825840 839680 841935 846486 848780 852480 873792 876160 880896 892800 898064 909312 910200 915120 917600 921600 940540 944640 947200 952320 970880 976128 985680 1007616 1010322 1015808 1016800 1018536 1032300 1049600 1051392 1060975 1065600 1092240 1095200 1101120 1122580 1128648 1136640 1142784 1143900 1165056 1174528 1175675 1180800 1190400 1212416 1213600 1220160 1228800 1232100 1259520 1269760 1273170 1301504 1314240 1321344 1343488 1347096 1358048 1363968 1365300 1376400 1401856 1403225 1410810 1420800 1428480 1456320 1464192 1468160 1474560 1504864 1511424 1515520 1523712 1525200 1527804 1553408 1574400 1577088 1587200 1626880 1642800 1651680 1679360 1683870 1692972 1697560 1704960 1739999 1747584 1752320 1761792 1785600 1796128 1818624 1820400 1830240 1835200 1843200 1881080 1889280 1894400 1904640 1909755 1941760 1952256 1971360 2015232 2020644 2033600 2037072 2064600 2099200 2102784 2116215 2121950 2131200 2184480 2190400 2202240 2245160 2257296 2273280 2285568 2287800 2330112 2349056 2351350 2361600 2380800 2427200 2440320 2457600 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45145920 45465600 45711360 46602240 46854144 46981120 48155648 48806400 48889728 49709056 50380800 50466816 50516100 50926800 52060160 52199970 52569600 52853760 53883840 54175104 54321920 54558720 55679968 55922688 56074240 56377344 56432400 57139200 57476096 58252800 58567680 58726400 60194560 60456960 61112160 62136320 62472192 62639964 63083520 64660608 65075200 65186304 66067200 67289088 67354800 67718880 67902400 68198400 69599960 69903360 70092800 70471680 71845120 72233472 73209600 74563584 75243200 75571200 76185600 76390200 77670400 78090240 78299955 78854400 80825760 81482880 83519952 84111360 84566016 84648600 86214144 86915072 86999950 87379200 88089600 89806400 90291840 90931200 93204480 93708288 93962240 96311296 97612800 97779456 100761600 100933632 101032200 101853600 104120320 104399940 105139200 105707520 107767680 108350208 108643840 111359936 111845376 112148480 112754688 112864800 114278400 114952192 116505600 117135360 117452800 120389120 122224320 124272640 124944384 125279928 126167040 129321216 130150400 130372608 130499925 132134400 134578176 134709600 135437760 135804800 136396800 139199920 139806720 140185600 140943360 143690240 144466944 146419200 149127168 150486400 151142400 152780400 155340800 156180480 156599910 157708800 161651520 162965760 167039904 168222720 169132032 169297200 172428288 173830144 173999900 174758400 176179200 179612800 180583680 186408960 187416576 187924480 192622592 195225600 195558912 201867264 202064400 203707200 208240640 208799880 210278400 211415040 215535360 216700416 217287680 222719872 223690752 224296960 225729600 228556800 229904384 233011200 234270720 234905600 240778240 244448640 248545280 250559856 252334080 258642432 260300800 260745216 260999850 264268800 269419200 270875520 271609600 272793600 278399840 279613440 280371200 281886720 287380480 288933888 292838400 300972800 302284800 305560800 310681600 312360960 313199820 315417600 323303040 325931520 334079808 336445440 338264064 338594400 344856576 347660288 347999800 349516800 352358400 359225600 361167360 372817920 374833152 385245184 390451200 391117824 391499775 403734528 404128800 407414400 417599760 420556800 422830080 431070720 433400832 434575360 445439744 447381504 451459200 459808768 466022400 468541440 469811200 481556480 488897280 501119712 504668160 517284864 520601600 521490432 521999700 528537600 538838400 541751040 543219200 556799680 559226880 560742400 563773440 574760960 577867776 585676800 601945600 611121600 621363200 624721920 626399640 630835200 646606080 651863040 668159616 672890880 677188800 689713152 695320576 695999600 699033600 704716800 718451200 722334720 745635840 770490368 780902400 782235648 782999550 808257600 814828800 835199520 841113600 845660160 862141440 866801664 869150720 890879488 902918400 919617536 932044800 937082880 939622400 963112960 977794560 1002239424 1009336320 1034569728 1041203200 1042980864 1043999400 1057075200 1077676800 1083502080 1086438400 1113599360 1118453760 1121484800 1149521920 1155735552 1171353600 1203891200 1222243200 1242726400 1252799280 1261670400 1293212160 1303726080 1336319232 1354377600 1379426304 1390641152 1391999200 1398067200 1409433600 1436902400 1444669440 1540980736 1561804800 1564471296 1565999100 1616515200 1629657600 1670399040 1682227200 1691320320 1724282880 1733603328 1738301440 1781758976 1805836800 1839235072 1864089600 1874165760 1926225920 1955589120 2004478848 2018672640 2069139456 2085961728 2087998800 2114150400 2155353600 2167004160 2172876800 2227198720 2236907520 2299043840 2311471104 2342707200 2407782400 2444486400 2505598560 2523340800 2586424320 2607452160 2672638464 2708755200 2758852608 2783998400 2796134400 2818867200 2873804800 2889338880 3123609600 3128942592 3131998200 3233030400 3259315200 3340798080 3364454400 3448565760 3467206656 3476602880 3563517952 3611673600 3728179200 3852451840 3911178240 4008957696 4138278912 4171923456 4175997600 4228300800 4310707200 4334008320 4345753600 4454397440 4598087680 4622942208 4685414400 4815564800 4888972800 5011197120 5046681600 5172848640 5214904320 5345276928 5417510400 5517705216 5567996800 5592268800 5747609600 5778677760 6257885184 6263996400 6466060800 6518630400 6681596160 6897131520 6934413312 6953205760 7127035904 7223347200 7704903680 7822356480 8017915392 8276557824 8351995200 8456601600 8621414400 8668016640 8691507200 8908794880 9196175360 9370828800 9631129600 9777945600 10022394240 10093363200 10345697280 10429808640 10690553856 10835020800 11135993600 11184537600 11495219200 11557355520 12515770368 12527992800 12932121600 13037260800 13363192320 13794263040 13868826624 14254071808 14446694400 15644712960 16035830784 16553115648 16703990400 17242828800 17336033280 17383014400 17817589760 19262259200 19555891200 20044788480 20691394560 20859617280 21381107712 21670041600 22271987200 22990438400 23114711040 25055985600 25864243200 26074521600 26726384640 27588526080 28508143616 28893388800 31289425920 32071661568 33407980800 34485657600 34672066560 34766028800 35635179520 38524518400 39111782400 40089576960 41382789120 42762215424 43340083200 44543974400 45980876800 50111971200 51728486400 52149043200 53452769280 57016287232 57786777600 62578851840 64143323136 66815961600 68971315200 69344133120 71270359040 78223564800 80179153920 82765578240 85524430848 86680166400 89087948800 100223942400 103456972800 104298086400 106905538560 115573555200 128286646272 133631923200 137942630400 142540718080 156447129600 160358307840 171048861696 173360332800 178175897600 200447884800 206913945600 213811077120 256573292544 267263846400 285081436160 312894259200 320716615680 346720665600 356351795200 400895769600 413827891200 427622154240 513146585088 534527692800 641433231360 712703590400 801791539200 855244308480 1069055385600 1282866462720 1425407180800 1603583078400 2138110771200 2565732925440 3207166156800 4276221542400 6414332313600 12828664627200
- Sum of all divisors σ(n): 49942665339840
- Sum of proper divisors (its aliquot sum) s(n): 37114000712640
- 12828664627200 is an abundant number, because the sum of its proper divisors (37114000712640) is greater than itself. Its abundance is 24285336085440
Bases of 12828664627200
- Binary: 101110101010111001111111111110000000000000002
- Hexadecimal: 0xBAAE7FF8000
- Base-36: 4JPENOXS0
Squares and roots of 12828664627200
- 12828664627200 squared (128286646272002) is 164574636117172514979840000
- 12828664627200 cubed (128286646272003) is 2111272812890682597401935529115648000000
-
The
square root of 12828664627200 is 3581712.5271579237 -
The
cube root of 12828664627200 is 23409.5905285543
Scales and comparisons
How big is 12828664627200?- 12,828,664,627,200 seconds is equal to 407,911 years, 44 weeks, 2 days, 16 hours.
-
To count from 1 to 12,828,664,627,200 would take you about one million, nineteen thousand, seven hundred seventy-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 12828664627200 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828664627200
- 12828664627200 backwards is 00272646682821
- The number of decimal digits it has is: 14
- The sum of 12828664627200's digits is 54
- More coming soon!
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MLA style:
"Number 12828664627200 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 12828664627200 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/12828664627200/
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The information we have on file for 12828664627200 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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