13116432384000
13,116,432,384,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13116432384000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1632 divisors.
13116432384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 13116432384000:
216 × 35 × 53 × 11 × 599
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 599)See below for interesting mathematical facts about the number 13116432384000 from the Numbermatics database.
Names of 13116432384000
- Cardinal: 13116432384000 can be written as Thirteen trillion, one hundred sixteen billion, four hundred thirty-two million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3116432384 × 1013
Factors of 13116432384000
Divisors of 13116432384000
- Number of divisors d(n): 1632
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 256 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 486 495 500 512 528 540 550 576 594 599 600 640 648 660 675 704 720 750 768 792 800 810 825 864 880 891 900 960 972 990 1000 1024 1056 1080 1100 1125 1152 1188 1198 1200 1215 1280 1296 1320 1350 1375 1408 1440 1485 1500 1536 1584 1600 1620 1650 1728 1760 1782 1797 1800 1920 1944 1980 2000 2025 2048 2112 2160 2200 2250 2304 2376 2396 2400 2430 2475 2560 2592 2640 2673 2700 2750 2816 2880 2970 2995 3000 3072 3168 3200 3240 3300 3375 3456 3520 3564 3594 3600 3840 3888 3960 4000 4050 4096 4125 4224 4320 4400 4455 4500 4608 4752 4792 4800 4860 4950 5120 5184 5280 5346 5391 5400 5500 5632 5760 5940 5990 6000 6075 6144 6336 6400 6480 6589 6600 6750 6912 7040 7128 7188 7200 7425 7680 7776 7920 8000 8100 8192 8250 8448 8640 8800 8910 8985 9000 9216 9504 9584 9600 9720 9900 10125 10240 10368 10560 10692 10782 10800 11000 11264 11520 11880 11980 12000 12150 12288 12375 12672 12800 12960 13178 13200 13365 13500 13824 14080 14256 14376 14400 14850 14975 15360 15552 15840 16000 16173 16200 16384 16500 16896 17280 17600 17820 17970 18000 18432 19008 19168 19200 19440 19767 19800 20250 20480 20736 21120 21384 21564 21600 22000 22275 22528 23040 23760 23960 24000 24300 24576 24750 25344 25600 25920 26356 26400 26730 26955 27000 27648 28160 28512 28752 28800 29700 29950 30375 30720 31104 31680 32000 32346 32400 32768 32945 33000 33792 34560 35200 35640 35940 36000 36864 37125 38016 38336 38400 38880 39534 39600 40500 40960 41472 42240 42768 43128 43200 44000 44550 44925 45056 46080 47520 47920 48000 48519 48600 49152 49500 50688 51200 51840 52712 52800 53460 53910 54000 55296 56320 57024 57504 57600 59301 59400 59900 60750 61440 62208 63360 64000 64692 64800 65536 65890 66000 66825 67584 69120 70400 71280 71880 72000 73728 74250 74875 76032 76672 76800 77760 79068 79200 80865 81000 81920 82944 84480 85536 86256 86400 88000 89100 89850 90112 92160 95040 95840 96000 97038 97200 98304 98835 99000 101376 102400 103680 105424 105600 106920 107820 108000 110592 111375 112640 114048 115008 115200 118602 118800 119800 121500 122880 124416 126720 128000 129384 129600 131780 132000 133650 134775 135168 138240 140800 142560 143760 144000 145557 147456 148500 149750 152064 153344 153600 155520 158136 158400 161730 162000 163840 164725 165888 168960 171072 172512 172800 176000 177903 178200 179700 180224 184320 190080 191680 192000 194076 194400 196608 197670 198000 202752 204800 207360 210848 211200 213840 215640 216000 221184 222750 224625 225280 228096 230016 230400 237204 237600 239600 242595 243000 245760 248832 253440 256000 258768 259200 263560 264000 267300 269550 270336 276480 281600 285120 287520 288000 291114 294912 296505 297000 299500 304128 306688 307200 311040 316272 316800 323460 324000 327680 329450 331776 334125 337920 342144 345024 345600 352000 355806 356400 359400 360448 368640 380160 383360 384000 388152 388800 395340 396000 404325 405504 409600 414720 421696 422400 427680 431280 432000 442368 445500 449250 450560 456192 460032 460800 474408 475200 479200 485190 486000 491520 494175 497664 506880 512000 517536 518400 527120 528000 533709 534600 539100 540672 552960 563200 570240 575040 576000 582228 589824 593010 594000 599000 608256 613376 614400 622080 632544 633600 646920 648000 658900 663552 668250 673875 675840 684288 690048 691200 704000 711612 712800 718800 720896 727785 737280 760320 766720 768000 776304 777600 790680 792000 808650 811008 819200 823625 829440 843392 844800 855360 862560 864000 884736 889515 891000 898500 901120 912384 920064 921600 948816 950400 958400 970380 972000 983040 988350 995328 1013760 1024000 1035072 1036800 1054240 1056000 1067418 1069200 1078200 1081344 1105920 1126400 1140480 1150080 1152000 1164456 1186020 1188000 1198000 1212975 1216512 1226752 1228800 1244160 1265088 1267200 1293840 1296000 1317800 1327104 1336500 1347750 1351680 1368576 1380096 1382400 1408000 1423224 1425600 1437600 1455570 1474560 1482525 1520640 1533440 1536000 1552608 1555200 1581360 1584000 1601127 1617300 1622016 1638400 1647250 1658880 1686784 1689600 1710720 1725120 1728000 1769472 1779030 1782000 1797000 1802240 1824768 1840128 1843200 1897632 1900800 1916800 1940760 1944000 1976700 1990656 2021625 2027520 2048000 2070144 2073600 2108480 2112000 2134836 2138400 2156400 2162688 2211840 2252800 2280960 2300160 2304000 2328912 2372040 2376000 2396000 2425950 2433024 2453504 2457600 2470875 2488320 2530176 2534400 2587680 2592000 2635600 2654208 2668545 2673000 2695500 2703360 2737152 2760192 2764800 2816000 2846448 2851200 2875200 2911140 2949120 2965050 3041280 3066880 3072000 3105216 3110400 3162720 3168000 3202254 3234600 3244032 3294500 3317760 3373568 3379200 3421440 3450240 3456000 3558060 3564000 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29650500 30362112 30412800 30668800 31052160 31104000 31627200 32022540 32346000 32440320 33122304 33177600 33735680 33792000 34157376 34214400 34502400 35580600 36389250 36495360 36802560 36864000 37262592 37952640 38016000 38336000 38815200 39256064 39534000 39813120 40028175 40482816 40550400 41402880 41472000 42169600 42696720 42768000 43128000 43794432 44163072 44236800 44475750 45056000 45543168 45619200 46003200 46578240 47440800 48519000 48660480 49070080 49683456 49766400 50603520 50688000 51236064 51753600 52712000 53370900 53977088 54067200 54743040 55203840 55296000 56928960 57024000 57504000 58222800 58392576 58884096 59301000 60724224 60825600 61337600 62104320 62208000 63254400 64045080 64692000 66244608 66355200 66713625 67471360 67584000 68314752 68428800 69004800 71161200 72778500 72990720 73605120 73728000 74525184 75905280 76032000 76672000 77630400 79068000 79626240 80056350 80965632 81100800 82805760 82944000 84339200 85393440 85536000 86256000 87588864 88326144 88951500 90112000 91086336 91238400 92006400 93156480 94881600 97038000 97320960 98140160 99366912 99532800 101207040 101376000 102472128 103507200 105424000 106741800 107954176 109486080 110407680 110592000 113857920 114048000 115008000 116445600 117768192 118602000 121448448 121651200 122675200 124208640 124416000 126508800 128090160 129384000 132489216 132710400 133427250 134942720 135168000 136629504 136857600 138009600 142322400 145557000 145981440 147210240 149050368 151810560 152064000 153344000 155260800 158136000 160112700 161931264 162201600 165611520 165888000 168678400 170786880 171072000 172512000 175177728 176652288 177903000 182172672 182476800 184012800 186312960 189763200 194076000 196280320 198733824 199065600 200140875 202414080 202752000 204944256 207014400 210848000 213483600 215908352 218972160 220815360 221184000 227715840 228096000 230016000 232891200 237204000 242896896 243302400 245350400 248417280 248832000 253017600 256180320 258768000 264978432 266854500 269885440 270336000 273259008 273715200 276019200 284644800 291114000 291962880 294420480 298100736 303621120 304128000 306688000 310521600 316272000 320225400 323862528 331223040 331776000 337356800 341573760 342144000 345024000 353304576 355806000 364345344 364953600 368025600 372625920 379526400 388152000 397467648 398131200 400281750 404828160 405504000 409888512 414028800 421696000 426967200 431816704 437944320 441630720 455431680 456192000 460032000 465782400 474408000 485793792 486604800 490700800 496834560 497664000 506035200 512360640 517536000 529956864 533709000 539770880 546518016 547430400 552038400 569289600 582228000 588840960 596201472 607242240 608256000 613376000 621043200 632544000 640450800 647725056 662446080 663552000 674713600 683147520 684288000 690048000 711612000 728690688 729907200 736051200 745251840 759052800 776304000 794935296 800563500 809656320 811008000 819777024 828057600 843392000 853934400 875888640 883261440 910863360 912384000 920064000 931564800 948816000 971587584 981401600 993669120 995328000 1012070400 1024721280 1035072000 1059913728 1067418000 1079541760 1093036032 1094860800 1104076800 1138579200 1164456000 1192402944 1214484480 1216512000 1226752000 1242086400 1265088000 1280901600 1295450112 1324892160 1349427200 1366295040 1368576000 1380096000 1423224000 1457381376 1459814400 1472102400 1490503680 1518105600 1552608000 1589870592 1601127000 1619312640 1639554048 1656115200 1686784000 1707868800 1766522880 1821726720 1824768000 1840128000 1863129600 1897632000 1943175168 1987338240 1990656000 2024140800 2049442560 2070144000 2134836000 2159083520 2186072064 2189721600 2208153600 2277158400 2328912000 2384805888 2428968960 2433024000 2453504000 2484172800 2530176000 2561803200 2649784320 2698854400 2732590080 2737152000 2760192000 2846448000 2914762752 2944204800 2981007360 3036211200 3105216000 3179741184 3202254000 3238625280 3279108096 3312230400 3373568000 3415737600 3643453440 3649536000 3680256000 3726259200 3795264000 3886350336 3974676480 4048281600 4098885120 4140288000 4269672000 4372144128 4379443200 4416307200 4554316800 4657824000 4769611776 4857937920 4907008000 4968345600 5060352000 5123606400 5299568640 5397708800 5465180160 5474304000 5520384000 5692896000 5829525504 5962014720 6072422400 6210432000 6404508000 6477250560 6558216192 6624460800 6747136000 6831475200 7286906880 7299072000 7360512000 7452518400 7590528000 7949352960 8096563200 8197770240 8280576000 8539344000 8744288256 8832614400 9108633600 9315648000 9539223552 9715875840 9936691200 10120704000 10247212800 10795417600 10930360320 10948608000 11040768000 11385792000 11659051008 11924029440 12144844800 12420864000 12809016000 13116432384 13248921600 13494272000 13662950400 14573813760 14721024000 14905036800 15181056000 15898705920 16193126400 16395540480 16561152000 17078688000 17488576512 18217267200 18631296000 19431751680 19873382400 20241408000 20494425600 21860720640 21897216000 22081536000 22771584000 23848058880 24289689600 24841728000 25618032000 26232864768 26497843200 26988544000 27325900800 29147627520 29810073600 30362112000 32386252800 32791080960 33122304000 34157376000 34977153024 36434534400 37262592000 39746764800 40482816000 40988851200 43721441280 44163072000 45543168000 47696117760 48579379200 49683456000 51236064000 52465729536 53977088000 54651801600 58295255040 59620147200 60724224000 65582161920 66244608000 68314752000 72869068800 74525184000 79493529600 80965632000 81977702400 87442882560 91086336000 97158758400 99366912000 102472128000 104931459072 109303603200 119240294400 121448448000 131164323840 132489216000 136629504000 145738137600 149050368000 161931264000 163955404800 174885765120 182172672000 198733824000 204944256000 218607206400 238480588800 242896896000 262328647680 273259008000 291476275200 298100736000 327910809600 364345344000 397467648000 409888512000 437214412800 485793792000 524657295360 546518016000 596201472000 655821619200 728690688000 819777024000 874428825600 1093036032000 1192402944000 1311643238400 1457381376000 1639554048000 2186072064000 2623286476800 3279108096000 4372144128000 6558216192000 13116432384000
- Sum of all divisors σ(n): 53587696780800
- Sum of proper divisors (its aliquot sum) s(n): 40471264396800
- 13116432384000 is an abundant number, because the sum of its proper divisors (40471264396800) is greater than itself. Its abundance is 27354832012800
Bases of 13116432384000
- Binary: 101111101101111010000100101100000000000000002
- Hexadecimal: 0xBEDE84B0000
- Base-36: 4NDLT6O00
Squares and roots of 13116432384000
- 13116432384000 squared (131164323840002) is 172040798484043923456000000
- 13116432384000 cubed (131164323840003) is 2256561500605331824896695599104000000000
-
The
square root of 13116432384000 is 3621661.5501727933 -
The
cube root of 13116432384000 is 23583.3361633625
Scales and comparisons
How big is 13116432384000?- 13,116,432,384,000 seconds is equal to 417,061 years, 50 weeks, 6 days.
-
To count from 1 to 13,116,432,384,000 would take you about one million, forty-two thousand, six hundred fifty-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 13116432384000 cubic inches would be around 1965.3 feet tall.
Recreational maths with 13116432384000
- 13116432384000 backwards is 00048323461131
- 13116432384000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13116432384000's digits is 36
- More coming soon!
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The information we have on file for 13116432384000 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!
Keywords: Divisors of 13116432384000, math, Factors of 13116432384000, curriculum, school, college, exams, university, Prime factorization of 13116432384000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred sixteen billion, four hundred thirty-two million, three hundred eighty-four thousand.