12828676432000
12,828,676,432,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12828676432000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
12828676432000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12828676432000:
27 × 53 × 11 × 132 × 31 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 13 × 31 × 13913)See below for interesting mathematical facts about the number 12828676432000 from the Numbermatics database.
Names of 12828676432000
- Cardinal: 12828676432000 can be written as Twelve trillion, eight hundred twenty-eight billion, six hundred seventy-six million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.2828676432 × 1013
Factors of 12828676432000
Divisors of 12828676432000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 40 44 50 52 55 62 64 65 80 88 100 104 110 124 125 128 130 143 155 160 169 176 200 208 220 248 250 260 275 286 310 320 325 338 341 352 400 403 416 440 496 500 520 550 572 620 640 650 676 682 704 715 775 800 806 832 845 880 992 1000 1040 1100 1144 1240 1300 1352 1364 1375 1408 1430 1550 1600 1612 1625 1664 1690 1705 1760 1859 1984 2000 2015 2080 2200 2288 2480 2600 2704 2728 2750 2860 3100 3200 3224 3250 3380 3410 3520 3575 3718 3875 3968 4000 4030 4160 4225 4400 4433 4576 4960 5200 5239 5408 5456 5500 5720 6200 6448 6500 6760 6820 7040 7150 7436 7750 8000 8060 8320 8450 8525 8800 8866 9152 9295 9920 10075 10400 10478 10816 10912 11000 11440 12400 12896 13000 13520 13640 13913 14300 14872 15500 16000 16120 16900 17050 17600 17732 17875 18304 18590 19840 20150 20800 20956 21125 21632 21824 22000 22165 22880 24800 25792 26000 26195 27040 27280 27826 28600 29744 31000 32240 33800 34100 35200 35464 35750 37180 40300 41600 41912 42250 42625 43648 44000 44330 45760 46475 49600 50375 51584 52000 52390 54080 54560 55652 57200 57629 59488 62000 64480 67600 68200 69565 70928 71500 74360 80600 83824 84500 85250 88000 88660 91520 92950 99200 100750 104000 104780 108160 109120 110825 111304 114400 115258 118976 124000 128960 130975 135200 136400 139130 141856 143000 148720 153043 161200 167648 169000 170500 176000 177320 180869 185900 201500 208000 209560 218240 221650 222608 228800 230516 232375 237952 248000 257920 261950 270400 272800 278260 283712 286000 288145 297440 306086 322400 335296 338000 341000 347825 354640 361738 371800 403000 419120 431303 443300 445216 457600 461032 464750 496000 523900 540800 545600 554125 556520 567424 572000 576290 594880 612172 644800 654875 670592 676000 682000 695650 709280 723476 743600 765215 806000 838240 862606 886600 890432 904345 922064 929500 1047800 1091200 1108250 1113040 1144000 1152580 1189760 1224344 1289600 1309750 1352000 1364000 1391300 1418560 1440725 1446952 1487200 1530430 1612000 1676480 1725212 1739125 1773200 1780864 1808690 1844128 1859000 1989559 2095600 2156515 2216500 2226080 2288000 2305160 2351297 2448688 2619500 2704000 2728000 2782600 2837120 2881450 2893904 2974400 3060860 3224000 3352960 3450424 3478250 3546400 3617380 3688256 3718000 3826075 3979118 4191200 4313030 4433000 4452160 4521725 4610320 4702594 4744333 4897376 5239000 5456000 5565200 5606939 5762900 5787808 5948800 6121720 6448000 6900848 6956500 7092800 7203625 7234760 7376512 7436000 7652150 7958236 8382400 8626060 8866000 8904320 9043450 9220640 9405188 9488666 9794752 9947795 10478000 10782575 11130400 11213878 11525800 11575616 11756485 12243440 13801696 13913000 14185600 14407250 14469520 14872000 15304300 15916472 16764800 17252120 17732000 18086900 18441280 18810376 18977332 19130375 19589504 19895590 20956000 21565150 22260800 22427756 22608625 23051600 23151232 23512970 23721665 24486880 25864267 27603392 27826000 28034695 28814500 28939040 29744000 30608600 31832944 34504240 35464000 36173800 36882560 37620752 37954664 38260750 39791180 41912000 43130300 44521600 44855512 45217250 46103200 47025940 47443330 48973760 49738975 51728534 53912875 55206784 55652000 56069390 57629000 57878080 58782425 61217200 61676329 63665888 69008480 70928000 72347600 72890207 75241504 75909328 76521500 79582360 83824000 86260600 89711024 90434500 92206400 94051880 94886660 97947520 99477950 103457068 107825750 111304000 112138780 115258000 115756160 117564850 118608325 122434400 123352658 127331776 129321335 138016960 140173475 144695200 145780414 150483008 151818656 153043000 159164720 172521200 179422048 180869000 184412800 188103760 189773320 198955900 206914136 215651500 222608000 224277560 230516000 235129700 237216650 244868800 246705316 248694875 254663552 258642670 276033920 280346950 289390400 291560828 293912125 300966016 303637312 306086000 308381645 318329440 345042400 358844096 361738000 364451035 376207520 379546640 397911800 413828272 431303000 448555120 461032000 470259400 474433300 489737600 493410632 497389750 517285340 560693900 578780800 583121656 587824250 593041625 607274624 612172000 616763290 636658880 646606675 690084800 700867375 717688192 723476000 728902070 752415040 759093280 795823600 801792277 827656544 862606000 897110240 922064000 940518800 948866600 986821264 994779500 1034570680 1121387800 1166243312 1175648500 1186083250 1224344000 1233526580 1273317760 1293213350 1380169600 1401734750 1446952000 1457804140 1504830080 1518186560 1541908225 1591647200 1603584554 1655313088 1725212000 1794220480 1822255175 1881037600 1897733200 1973642528 1989559000 2069141360 2242775600 2332486624 2351297000 2372166500 2448688000 2467053160 2586426700 2803469500 2893904000 2915608280 3036373120 3083816450 3183294400 3207169108 3233033375 3310626176 3450424000 3588440960 3644510350 3762075200 3795466400 3947285056 3979118000 4008961385 4138282720 4485551200 4664973248 4702594000 4744333000 4934106320 5172853400 5606939000 5831216560 6167632900 6366588800 6414338216 6466066750 6900848000 7289020700 7524150400 7590932800 7709541125 7894570112 7958236000 8017922770 8276565440 8971102400 9111275875 9329946496 9405188000 9488666000 9868212640 10345706800 11213878000 11662433120 12335265800 12828676432 12932133500 14578041400 15181865600 15419082250 15916472000 16035845540 16553130880 17942204800 18222551750 18810376000 18977332000 19736425280 20044806925 20691413600 22427756000 23324866240 24670531600 25657352864 25864267000 29156082800 30838164500 31832944000 32071691080 36445103500 37620752000 37954664000 39472850560 40089613850 41382827200 44855512000 46649732480 49341063200 51314705728 51728534000 58312165600 61676329000 64143382160 72890207000 75909328000 80179227700 82765654400 89711024000 98682126400 100224034625 102629411456 103457068000 116624331200 123352658000 128286764320 145780414000 160358455400 197364252800 200448069250 206914136000 233248662400 246705316000 256573528640 291560828000 320716910800 400896138500 413828272000 493410632000 513147057280 583121656000 641433821600 801792277000 986821264000 1166243312000 1282867643200 1603584554000 2565735286400 3207169108000 6414338216000 12828676432000
- Sum of all divisors σ(n): 38895476106240
- Sum of proper divisors (its aliquot sum) s(n): 26066799674240
- 12828676432000 is an abundant number, because the sum of its proper divisors (26066799674240) is greater than itself. Its abundance is 13238123242240
Bases of 12828676432000
- Binary: 101110101010111010001011001110100000100000002
- Hexadecimal: 0xBAAE8B3A080
- Base-36: 4JPEUPYF4
Squares and roots of 12828676432000
- 12828676432000 squared (128286764320002) is 164574938996952250624000000
- 12828676432000 cubed (128286764320003) is 2111278641208039057409466093568000000000
-
The
square root of 12828676432000 is 3581714.1750843269 -
The
cube root of 12828676432000 is 23409.5977089707
Scales and comparisons
How big is 12828676432000?- 12,828,676,432,000 seconds is equal to 407,912 years, 11 weeks, 6 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 12,828,676,432,000 would take you about one million, nineteen thousand, seven hundred eighty 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 12828676432000 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828676432000
- 12828676432000 backwards is 00023467682821
- The number of decimal digits it has is: 14
- The sum of 12828676432000's digits is 49
- More coming soon!
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The information we have on file for 12828676432000 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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