13416779168000
13,416,779,168,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13416779168000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13416779168000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13416779168000:
28 × 53 × 13 × 17 × 19 × 31 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 19 × 31 × 3221)See below for interesting mathematical facts about the number 13416779168000 from the Numbermatics database.
Names of 13416779168000
- Cardinal: 13416779168000 can be written as Thirteen trillion, four hundred sixteen billion, seven hundred seventy-nine million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3416779168 × 1013
Factors of 13416779168000
Divisors of 13416779168000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 31 32 34 38 40 50 52 62 64 65 68 76 80 85 95 100 104 124 125 128 130 136 152 155 160 170 190 200 208 221 247 248 250 256 260 272 304 310 320 323 325 340 380 400 403 416 425 442 475 494 496 500 520 527 544 589 608 620 640 646 650 680 760 775 800 806 832 850 884 950 988 992 1000 1040 1054 1088 1105 1178 1216 1235 1240 1280 1292 1300 1360 1520 1550 1600 1612 1615 1625 1664 1700 1768 1900 1976 1984 2000 2015 2080 2108 2125 2176 2210 2356 2375 2432 2470 2480 2584 2600 2635 2720 2945 3040 3100 3200 3221 3224 3230 3250 3328 3400 3536 3800 3875 3952 3968 4000 4030 4160 4199 4216 4250 4352 4420 4712 4750 4864 4940 4960 5168 5200 5270 5440 5525 5890 6080 6175 6200 6400 6442 6448 6460 6500 6800 6851 7072 7600 7657 7750 7904 7936 8000 8060 8075 8320 8398 8432 8500 8840 9424 9500 9880 9920 10013 10075 10336 10400 10540 10880 11050 11780 12160 12350 12400 12884 12896 12920 13000 13175 13600 13702 14144 14725 15200 15314 15500 15808 16000 16105 16120 16150 16640 16796 16864 17000 17680 18848 19000 19760 19840 20026 20150 20672 20800 20995 21080 21760 22100 23560 24320 24700 24800 25768 25792 25840 26000 26350 27200 27404 27625 28288 29450 30400 30628 30875 31000 31616 32000 32210 32240 32300 33592 33728 34000 34255 35360 37696 38000 38285 39520 39680 40052 40300 40375 41344 41600 41873 41990 42160 44200 47120 49400 49600 50065 50375 51536 51584 51680 52000 52700 54400 54757 54808 55250 56576 58900 60800 61199 61256 61750 62000 63232 64420 64480 64600 65875 67184 67456 68000 68510 70720 73625 75392 76000 76570 79040 80104 80525 80600 80750 82688 83200 83746 83980 84320 88400 94240 98800 99200 99851 100130 100750 103072 103168 103360 104000 104975 105400 108800 109514 109616 110500 117800 121600 122398 122512 123500 124000 128840 128960 129200 130169 131750 134368 134912 136000 137020 141440 147250 150784 152000 153140 158080 160208 161050 161200 161500 167492 167960 168640 171275 176800 188480 191425 197600 198400 199702 200260 201500 206144 206720 208000 209365 209950 210800 219028 219232 221000 235600 244796 245024 247000 248000 250325 257680 257920 258400 260338 263500 268736 272000 273785 274040 282880 294500 304000 305995 306280 316160 320416 322100 322400 323000 334984 335920 337280 342550 353600 376960 382850 395200 399404 400520 402625 403000 412288 413440 416000 418730 419900 421600 438056 438464 442000 471200 489592 490048 494000 496000 499255 500650 515360 515840 516800 520676 524875 527000 537472 544000 547570 548080 589000 608000 611990 612560 640832 644200 644800 646000 650845 669968 671840 674560 685100 707200 711841 753920 765700 790400 795587 798808 801040 805250 806000 824576 837460 839800 843200 856375 876112 876928 884000 942400 957125 979184 980096 988000 992000 998510 1001300 1030720 1033600 1040383 1041352 1046825 1049750 1054000 1074944 1095140 1096160 1178000 1223980 1225120 1251625 1281664 1288400 1289600 1292000 1298063 1301690 1339936 1343680 1368925 1370200 1414400 1423682 1529975 1531400 1580800 1591174 1597616 1602080 1610500 1612000 1674920 1679600 1686400 1697467 1712750 1752224 1753856 1768000 1884800 1897169 1914250 1958368 1960192 1976000 1997020 2002600 2061440 2067200 2080766 2082704 2093650 2099500 2108000 2190280 2192320 2356000 2447960 2450240 2496275 2503250 2563328 2576800 2579200 2584000 2596126 2603380 2679872 2687360 2737850 2740400 2847364 3059950 3062800 3182348 3195232 3204160 3221000 3224000 3254225 3349840 3359200 3372800 3394934 3425500 3504448 3536000 3559205 3769600 3794338 3828500 3916736 3952000 3977935 3994040 4005200 4122880 4161532 4165408 4187300 4199000 4216000 4380560 4384640 4712000 4895920 4900480 4992550 5006500 5153600 5168000 5192252 5201915 5206760 5234125 5359744 5374720 5475700 5480800 5694728 6119900 6125600 6364696 6390464 6408320 6442000 6448000 6490315 6508450 6699680 6718400 6789868 6844625 6851000 7008896 7072000 7118410 7588676 7649875 7657000 7833472 7904000 7955870 7988080 8010400 8323064 8330816 8374600 8398000 8432000 8487335 8761120 8769280 9424000 9485845 9791840 9800960 9985100 10013000 10307200 10336000 10384504 10403830 10413520 10468250 10719488 10951400 10961600 11389456 12239800 12251200 12481375 12729392 12780928 12816640 12884000 12896000 12980630 13016900 13399360 13436800 13524979 13579736 13689250 13702000 14017792 14236820 15177352 15299750 15314000 15666944 15911740 15976160 16020800 16271125 16646128 16661632 16749200 16796000 16864000 16974670 17522240 17796025 18848000 18971690 19583680 19889675 19970200 20026000 20614400 20769008 20807660 20827040 20936500 21902800 21923200 22067071 22778912 24479600 24502400 24663197 24962750 25458784 25561856 25768000 25961260 26009575 26033800 26798720 26873600 27049958 27159472 27378500 27404000 28473640 30354704 30599500 30628000 31823480 31952320 32041600 32251873 32451575 32542250 33292256 33323264 33498400 33592000 33949340 35044480 35592050 37943380 39167360 39779350 39940400 40052000 41538016 41615320 41654080 41873000 42436675 43805600 43846400 44134142 45557824 47429225 48959200 49004800 49326394 49925500 50917568 51536000 51922520 52019150 52067600 53597440 54099916 54318944 54757000 54808000 56947280 60709408 61199000 61256000 63646960 63904640 64083200 64503746 64903150 65084500 66584512 66996800 67184000 67624895 67898680 70088960 71184100 75886760 78334720 79558700 79880800 80104000 83076032 83230640 83308160 83746000 84873350 87611200 88268284 88980125 91115648 94858450 97918400 98652788 99448375 99851000 101835136 103072000 103845040 104038300 104135200 108199832 108637888 109514000 109616000 110335355 113894560 121418816 122398000 122512000 123315985 127293920 127809280 129007492 129806300 130047875 130169000 133169024 133993600 134368000 135249790 135797360 142368200 151773520 159117400 159761600 160208000 161259365 162257875 166152064 166461280 166616320 167492000 169746700 175222400 176536568 177960250 182231296 189716900 195836800 197305576 198896750 199702000 203670272 207690080 208076600 208270400 212183375 216399664 217275776 219028000 219232000 220670710 227789120 237146125 242837632 244796000 245024000 246631970 254587840 258014984 259612600 260095750 260338000 266338048 267987200 270499580 271594720 284736400 303547040 318234800 319523200 320416000 322518730 324515750 332304128 332922560 334984000 338124475 339493400 350444800 353073136 355920500 379433800 391673600 394611152 397793500 399404000 415380160 416153200 416540800 419274349 424366750 432799328 434551552 438056000 441341420 455578240 474292250 485675264 489592000 493263940 509175680 516029968 519225200 520191500 520676000 540999160 543189440 551676775 569472800 607094080 616579925 636469600 639046400 645037460 649031500 665845120 669968000 676248950 678986800 706146272 711841000 758867600 789222304 795587000 798808000 806296825 830760320 832306400 833081600 838548698 848733500 865598656 876112000 882682840 911156480 948584500 979184000 986527880 1018351360 1032059936 1038450400 1040383000 1041352000 1081998320 1086378880 1103353550 1138945600 1214188160 1233159850 1272939200 1290074920 1298063000 1331690240 1339936000 1352497900 1357973600 1412292544 1423682000 1517735200 1578444608 1591174000 1597616000 1612593650 1661520640 1664612800 1677097396 1690622375 1697467000 1731197312 1752224000 1765365680 1897169000 1958368000 1973055760 2064119872 2076900800 2080766000 2082704000 2096371745 2163996640 2172757760 2206707100 2277891200 2428376320 2466319700 2545878400 2580149840 2596126000 2704995800 2715947200 2758383875 2824585088 2847364000 3035470400 3082899625 3156889216 3182348000 3195232000 3225187300 3329225600 3354194792 3381244750 3394934000 3462394624 3530731360 3794338000 3946111520 4031484125 4128239744 4153801600 4161532000 4165408000 4192743490 4327993280 4413414200 4555782400 4932639400 5091756800 5160299680 5192252000 5409991600 5431894400 5516767750 5649170176 5694728000 6070940800 6165799250 6313778432 6364696000 6450374600 6658451200 6708389584 6762489500 6789868000 7061462720 7588676000 7892223040 8062968250 8256479488 8307603200 8323064000 8385486980 8655986560 8826828400 9865278800 10320599360 10384504000 10481858725 10819983200 10863788800 11033535500 11389456000 12141881600 12331598500 12729392000 12900749200 13416779168 13524979000 13579736000 14122925440 15177352000 15784446080 16125936500 16646128000 16770973960 17311973120 17653656800 19730557600 20641198720 20769008000 20963717450 21639966400 22067071000 22778912000 24663197000 25458784000 25801498400 26833558336 27049958000 27159472000 28245850880 30354704000 31568892160 32251873000 33292256000 33541947920 35307313600 39461115200 41282397440 41538016000 41927434900 43279932800 44134142000 49326394000 51602996800 52409293625 53667116672 54099916000 54318944000 60709408000 64503746000 67083895840 70614627200 78922230400 83854869800 86559865600 88268284000 98652788000 103205993600 104818587250 107334233344 108199832000 129007492000 134167791680 141229254400 157844460800 167709739600 176536568000 197305576000 206411987200 209637174500 216399664000 258014984000 268335583360 335419479200 353073136000 394611152000 419274349000 432799328000 516029968000 536671166720 670838958400 706146272000 789222304000 838548698000 1032059936000 1341677916800 1677097396000 2683355833600 3354194792000 6708389584000 13416779168000
- Sum of all divisors σ(n): 41423953858560
- Sum of proper divisors (its aliquot sum) s(n): 28007174690560
- 13416779168000 is an abundant number, because the sum of its proper divisors (28007174690560) is greater than itself. Its abundance is 14590395522560
Bases of 13416779168000
- Binary: 110000110011110101100101101100111001000000002
- Hexadecimal: 0xC33D65B3900
- Base-36: 4R7KZWLQ8
Squares and roots of 13416779168000
- 13416779168000 squared (134167791680002) is 180009963242878772224000000
- 13416779168000 cubed (134167791680003) is 2415153924869501635524380229632000000000
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The
square root of 13416779168000 is 3662892.1862375367 -
The
cube root of 13416779168000 is 23761.9871782477
Scales and comparisons
How big is 13416779168000?- 13,416,779,168,000 seconds is equal to 426,612 years, 3 weeks, 6 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 13,416,779,168,000 would take you about one million, sixty-six thousand, five hundred thirty 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 13416779168000 cubic inches would be around 1980.2 feet tall.
Recreational maths with 13416779168000
- 13416779168000 backwards is 00086197761431
- The number of decimal digits it has is: 14
- The sum of 13416779168000's digits is 53
- More coming soon!
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The information we have on file for 13416779168000 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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