12827213728000
12,827,213,728,000 is an even composite number composed of seven prime numbers multiplied together.
12827213728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 12827213728000:
28 × 53 × 72 × 17 × 192 × 31 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 19 × 19 × 31 × 43)See below for interesting mathematical facts about the number 12827213728000 from the Numbermatics database.
Names of 12827213728000
- Cardinal: 12827213728000 can be written as Twelve trillion, eight hundred twenty-seven billion, two hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2827213728 × 1013
Factors of 12827213728000
Divisors of 12827213728000
- Number of divisors d(n): 2592
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 31 32 34 35 38 40 43 49 50 56 62 64 68 70 76 80 85 86 95 98 100 112 119 124 125 128 133 136 140 152 155 160 170 172 175 190 196 200 215 217 224 238 245 248 250 256 266 272 280 301 304 310 320 323 340 344 350 361 380 392 400 425 430 434 448 475 476 490 496 500 527 532 544 560 589 595 602 608 620 640 646 665 680 688 700 722 731 760 775 784 800 817 833 850 860 868 875 896 931 950 952 980 992 1000 1054 1064 1075 1085 1088 1120 1178 1190 1204 1216 1225 1240 1280 1292 1330 1333 1360 1376 1400 1444 1462 1505 1519 1520 1550 1568 1600 1615 1634 1666 1700 1720 1736 1750 1792 1805 1862 1900 1904 1960 1984 2000 2107 2108 2125 2128 2150 2170 2176 2240 2261 2356 2375 2380 2408 2432 2450 2480 2527 2584 2635 2660 2666 2720 2752 2800 2888 2924 2945 2975 3010 3038 3040 3100 3136 3200 3230 3268 3325 3332 3400 3440 3472 3500 3610 3655 3689 3724 3800 3808 3875 3920 3968 4000 4085 4123 4165 4214 4216 4250 4256 4300 4340 4352 4480 4522 4655 4712 4750 4760 4816 4864 4900 4960 5054 5117 5168 5270 5320 5332 5375 5425 5440 5504 5600 5719 5776 5848 5890 5950 6020 6076 6080 6125 6137 6200 6272 6400 6460 6536 6650 6664 6665 6800 6880 6944 7000 7220 7310 7378 7448 7525 7595 7600 7616 7750 7840 7936 8000 8075 8170 8246 8330 8428 8432 8500 8512 8600 8680 8960 9025 9044 9310 9331 9424 9500 9520 9632 9800 9920 10013 10108 10234 10336 10535 10540 10640 10664 10750 10850 10880 11008 11191 11200 11305 11438 11552 11696 11780 11900 12040 12152 12160 12250 12274 12400 12544 12635 12920 13072 13175 13300 13328 13330 13600 13760 13888 13889 14000 14440 14620 14725 14756 14875 14896 15050 15190 15200 15232 15500 15523 15680 15827 16000 16150 16340 16492 16625 16660 16856 16864 17000 17024 17200 17360 17689 18050 18088 18275 18445 18620 18662 18848 19000 19040 19264 19600 19840 20026 20216 20425 20468 20615 20672 20825 21070 21080 21280 21328 21500 21700 21760 22382 22400 22610 22661 22876 23104 23275 23392 23560 23800 24080 24304 24320 24500 24548 24800 25270 25327 25585 25823 25840 26144 26350 26600 26656 26660 27125 27200 27520 27776 27778 28000 28595 28861 28880 29240 29450 29512 29750 29792 30100 30380 30400 30464 30685 31000 31046 31360 31654 32000 32300 32680 32984 33250 33320 33325 33712 33728 34000 34048 34400 34720 35378 35819 36100 36176 36550 36890 37240 37324 37625 37696 37975 38000 38080 38528 39200 39680 40033 40052 40375 40432 40850 40936 41230 41344 41650 42140 42160 42560 42656 42959 43000 43400 44764 44800 45125 45220 45322 45752 46208 46550 46655 46784 47120 47600 48160 48608 49000 49096 49600 50065 50540 50654 51170 51646 51680 52288 52675 52700 53200 53312 53320 54250 54400 55040 55552 55556 55955 56000 56525 57190 57722 57760 58480 58900 59024 59500 59584 60200 60760 60800 61370 62000 62092 62720 63175 63308 64600 65317 65360 65875 65968 66500 66640 66650 67424 67456 68000 68800 69440 69445 70091 70756 71638 72200 72352 73100 73625 73780 74480 74648 75250 75392 75950 76000 76160 77056 77615 78337 78400 79135 80066 80104 80750 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194432 194446 196000 196384 198400 200165 200260 202160 202616 204250 204680 206150 206584 206720 208250 209152 210700 210800 212800 213248 213280 214795 217000 217322 222224 223820 224000 226100 226610 228760 230888 231040 232750 233275 233920 235600 236096 238000 238336 240800 243040 245480 248000 248368 250325 252700 253232 253270 255850 258230 258400 261268 261440 263375 263500 263872 263891 266000 266560 266600 269696 272000 275200 277760 277780 279775 280364 282625 283024 285950 286552 288610 288800 289408 292400 294500 295120 297920 298592 300713 301000 303800 304000 306850 310460 313348 313600 315875 316540 317254 320264 320416 323000 323456 326585 326800 327488 329840 333200 333250 337120 337280 341248 343672 344000 347200 347225 350455 353780 354578 358112 358190 361000 361760 362576 365500 366016 368900 372400 373240 376960 379750 380494 380800 385280 388075 388864 388892 391685 392000 392768 395675 400330 400520 404320 405232 408500 409360 412300 413168 413440 416500 421400 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6751165120 6888944000 7106489600 7158043375 7329836416 7388948000 7457682400 7545419840 7699408000 7850192000 7942547200 8017008580 8180621000 8275621760 8438956400 8444512000 8523065600 8773744000 8883112000 9162295520 9322103000 9431774800 9622816000 9644521600 9928184000 10021260725 10344527200 10471194880 10548695500 10653832000 10779171200 10888976000 11452869400 11789718500 11822316800 11932291840 12055652000 12170032000 12827213728 12930659000 13088993600 13473964000 13502330240 13777888000 14316086750 14659672832 14777896000 14915364800 15090839680 15398816000 15700384000 16034017160 16361242000 16551243520 16877912800 17547488000 17766224000 18324591040 18644206000 18863549600 19289043200 19856368000 20042521450 20689054400 21097391000 21307664000 21558342400 21777952000 22905738800 23579437000 24111304000 24340064000 25654427456 25861318000 26177987200 26947928000 27004660480 28632173500 29555792000 29830729600 30181679360 32068034320 32722484000 33755825600 35532448000 36649182080 37288412000 37727099200 39712736000 40085042900 41378108800 42194782000 42615328000 45811477600 47158874000 48222608000 50106303625 51308854912 51722636000 52355974400 53895856000 57264347000 59111584000 59661459200 64136068640 65444968000 67511651200 73298364160 74576824000 75454198400 80170085800 82756217600 84389564000 91622955200 94317748000 96445216000 100212607250 102617709824 103445272000 107791712000 114528694000 128272137280 130889936000 135023302400 149153648000 150908396800 160340171600 168779128000 183245910400 188635496000 200425214500 206890544000 229057388000 256544274560 261779872000 298307296000 320680343200 337558256000 366491820800 377270992000 400850429000 413781088000 458114776000 513088549120 641360686400 675116512000 754541984000 801700858000 916229552000 1282721372800 1603401716000 1832459104000 2565442745600 3206803432000 6413606864000 12827213728000
- Sum of all divisors σ(n): 43875339475968
- Sum of proper divisors (its aliquot sum) s(n): 31048125747968
- 12827213728000 is an abundant number, because the sum of its proper divisors (31048125747968) is greater than itself. Its abundance is 18220912019968
Bases of 12827213728000
- Binary: 101110101010100100011000010010001001000000002
- Hexadecimal: 0xBAA91848900
- Base-36: 4JOQNV4SG
Squares and roots of 12827213728000
- 12827213728000 squared (128272137280002) is 164537412023791657984000000
- 12827213728000 cubed (128272137280003) is 2110556550281172617904245604352000000000
-
The
square root of 12827213728000 is 3581509.9787659395 -
The
cube root of 12827213728000 is 23408.7079675683
Scales and comparisons
How big is 12827213728000?- 12,827,213,728,000 seconds is equal to 407,865 years, 37 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,827,213,728,000 would take you about one million, nineteen thousand, six hundred sixty-four 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 12827213728000 cubic inches would be around 1950.7 feet tall.
Recreational maths with 12827213728000
- 12827213728000 backwards is 00082731272821
- 12827213728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12827213728000's digits is 43
- More coming soon!
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The information we have on file for 12827213728000 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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