13827146004992000
13,827,146,004,992,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13827146004992000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 936 divisors.
13827146004992000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 13827146004992000:
212 × 53 × 532 × 61 × 3972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 53 × 53 × 61 × 397 × 397)See below for interesting mathematical facts about the number 13827146004992000 from the Numbermatics database.
Names of 13827146004992000
- Cardinal: 13827146004992000 can be written as Thirteen quadrillion, eight hundred twenty-seven trillion, one hundred forty-six billion, four million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3827146004992 × 1016
Factors of 13827146004992000
Divisors of 13827146004992000
- Number of divisors d(n): 936
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 53 61 64 80 100 106 122 125 128 160 200 212 244 250 256 265 305 320 397 400 424 488 500 512 530 610 640 794 800 848 976 1000 1024 1060 1220 1280 1325 1525 1588 1600 1696 1952 1985 2000 2048 2120 2440 2560 2650 2809 3050 3176 3200 3233 3392 3904 3970 4000 4096 4240 4880 5120 5300 5618 6100 6352 6400 6466 6625 6784 7625 7808 7940 8000 8480 9760 9925 10240 10600 11236 12200 12704 12800 12932 13250 13568 14045 15250 15616 15880 16000 16165 16960 19520 19850 20480 21041 21200 22472 24217 24400 25408 25600 25864 26500 27136 28090 30500 31232 31760 32000 32330 33920 39040 39700 42082 42400 44944 48434 48800 49625 50816 51200 51728 53000 54272 56180 61000 62464 63520 64000 64660 67840 70225 78080 79400 80825 84164 84800 89888 96868 97600 99250 101632 102400 103456 105205 106000 108544 112360 121085 122000 124928 127040 128000 129320 135680 140450 156160 157609 158800 161650 168328 169600 171349 179776 193736 195200 198500 203264 206912 210410 212000 217088 224720 242170 244000 249856 254080 256000 258640 271360 280900 312320 315218 317600 323300 336656 339200 342698 351125 359552 387472 390400 397000 404125 406528 413824 420820 424000 449440 484340 488000 508160 512000 517280 526025 542720 561800 605425 624640 630436 635200 646600 673312 678400 685396 702250 719104 774944 780800 788045 794000 808250 813056 827648 841640 848000 856745 898880 968680 976000 1016320 1034560 1052050 1085440 1115173 1123600 1210850 1249280 1260872 1270400 1283501 1293200 1346624 1356800 1370792 1404500 1438208 1549888 1561600 1576090 1588000 1616500 1626112 1655296 1683280 1696000 1713490 1797760 1937360 1952000 2032640 2069120 2104100 2230346 2247200 2421700 2521744 2540800 2567002 2586400 2630125 2693248 2713600 2741584 2809000 2876416 3027125 3099776 3123200 3152180 3176000 3233000 3310592 3366560 3392000 3426980 3595520 3874720 3904000 3940225 4065280 4138240 4208200 4283725 4460692 4494400 4843400 5043488 5081600 5134004 5172800 5260250 5386496 5427200 5483168 5575865 5618000 5752832 6054250 6199552 6246400 6304360 6352000 6417505 6466000 6621184 6733120 6784000 6853960 7191040 7749440 7808000 7880450 8130560 8276480 8353277 8416400 8567450 8921384 8988800 9614149 9686800 10086976 10163200 10268008 10345600 10520500 10772992 10966336 11151730 11236000 11505664 12108500 12399104 12608720 12704000 12835010 12932000 13242368 13466240 13568000 13707920 14382080 15498880 15616000 15760900 16552960 16706554 16832800 17134900 17842768 17977600 19228298 19373600 19701125 20173952 20326400 20536016 20691200 21041000 21418625 21545984 21932672 22303460 22472000 24217000 24798208 25217440 25408000 25670020 25864000 26932480 27136000 27415840 27879325 28764160 30997760 31232000 31521800 32087525 33105920 33413108 33665600 34269800 35685536 35955200 38456596 38747200 39402250 40347904 40652800 41072032 41382400 41766385 42082000 42837250 43091968 43865344 44606920 44944000 48070745 48434000 49596416 50434880 50816000 51340040 51728000 53864960 54831680 55758650 57528320 61995520 63043600 64175050 66211840 66826216 67331200 68025553 68539600 71371072 71910400 76913192 77494400 78804500 80695808 82144064 82764800 83532770 84164000 85674500 86183936 87730688 89213840 89888000 96141490 96868000 99192832 100869760 101632000 102680080 103456000 107729920 109663360 111517300 123991040 126087200 128350100 133652432 134662400 136051106 137079200 139396625 142742144 143820800 153826384 154988800 157609000 160437625 161391616 164288128 165529600 167065540 168328000 171349000 175461376 178427680 179776000 192282980 193736000 201739520 203264000 205360160 206912000 208831925 215459840 219326720 223034600 240353725 247982080 252174400 256700200 267304864 269324800 272102212 274158400 278793250 285484288 287641600 307652768 309977600 315218000 320875250 322783232 328576256 331059200 334131080 336656000 340127765 342698000 350922752 356855360 359552000 384565960 387472000 403479040 410720320 413824000 417663850 430919680 438653440 442723681 446069200 480707450 495964160 504348800 509549897 513400400 534609728 538649600 544204424 548316800 557586500 570968576 615305536 619955200 630436000 641750500 645566464 657152512 668262160 673312000 680255530 685396000 701845504 713710720 719104000 769131920 774944000 806958080 821440640 827648000 835327700 877306880 885447362 892138400 961414900 1008697600 1019099794 1026800800 1044159625 1069219456 1077299200 1088408848 1096633600 1115173000 1141937152 1201768625 1230611072 1239910400 1260872000 1283501000 1314305024 1336524320 1346624000 1360511060 1370792000 1427421440 1438208000 1538263840 1549888000 1613916160 1642881280 1655296000 1670655400 1700638825 1754613760 1770894724 1784276800 1922829800 2017395200 2038199588 2053601600 2088319250 2138438912 2154598400 2176817696 2193267200 2213618405 2230346000 2283874304 2403537250 2461222144 2479820800 2521744000 2547749485 2567002000 2628610048 2673048640 2693248000 2721022120 2741584000 2854842880 3076527680 3099776000 3227832320 3285762560 3341310800 3401277650 3509227520 3541789448 3568553600 3845659600 4034790400 4076399176 4107203200 4176638500 4276877824 4353635392 4386534400 4427236810 4460692000 4567748608 4807074500 4922444288 5043488000 5095498970 5134004000 5257220096 5346097280 5386496000 5442044240 5483168000 5709685760 6153055360 6199552000 6571525120 6682621600 6802555300 7083578896 7137107200 7691319200 8069580800 8152798352 8214406400 8353277000 8503194125 8553755648 8707270784 8773068800 8854473620 8921384000 9614149000 9844888576 10086976000 10190997940 10268008000 10692194560 10772992000 10884088480 10966336000 11068092025 11419371520 12306110720 12399104000 12738747425 13143050240 13365243200 13605110600 14167157792 14274214400 15382638400 16139161600 16305596704 16428812800 16706554000 17006388250 17107511296 17414541568 17546137600 17708947240 17842768000 19228298000 19689777152 20173952000 20381995880 20536016000 21384389120 21768176960 21932672000 22136184050 22838743040 24612221440 25477494850 26286100480 26730486400 27006144541 27210221200 28334315584 28548428800 30765276800 32611193408 32857625600 33413108000 34012776500 34215022592 34829083136 35417894480 35685536000 38456596000 39379554304 40347904000 40763991760 41072032000 42768778240 43536353920 43865344000 44272368100 49224442880 50954989700 53460972800 54012289082 54420442400 55340460125 56668631168 57096857600 61530553600 63693737125 65222386816 65715251200 66826216000 68025553000 69658166272 70835788960 71371072000 76913192000 80695808000 81527983520 82144064000 85537556480 87072707840 87730688000 88544736200 98448885760 101909979400 106921945600 108024578164 108840884800 110680920250 113337262336 114193715200 123061107200 127387474250 130444773632 131430502400 133652432000 135030722705 136051106000 139316332544 141671577920 142742144000 153826384000 163055967040 164288128000 171075112960 174145415680 177089472400 196897771520 203819958800 213843891200 216049156328 217681769600 221361840500 226674524672 246122214400 254774948500 260889547264 267304864000 270061445410 272102212000 278632665088 283343155840 285484288000 307652768000 326111934080 328576256000 348290831360 354178944800 407639917600 427687782400 432098312656 435363539200 442723681000 453349049344 492244428800 509549897000 521779094528 534609728000 540122890820 544204424000 566686311680 570968576000 615305536000 652223868160 657152512000 675153613525 696581662720 708357889600 815279835200 855375564800 864196625312 870727078400 885447362000 906698098688 984488857600 1019099794000 1043558189056 1069219456000 1080245781640 1088408848000 1133372623360 1230611072000 1304447736320 1350307227050 1393163325440 1416715779200 1630559670400 1728393250624 1741454156800 1770894724000 1813396197376 2038199588000 2087116378112 2138438912000 2160491563280 2176817696000 2266745246720 2461222144000 2608895472640 2700614454100 2833431558400 3261119340800 3375768067625 3456786501248 3482908313600 3541789448000 4076399176000 4276877824000 4320983126560 4353635392000 4533490493440 4922444288000 5217790945280 5401228908200 5666863116800 6522238681600 6751536135250 6913573002496 6965816627200 7083578896000 8152798352000 8641966253120 8707270784000 9066980986880 10435581890560 10802457816400 11333726233600 13044477363200 13503072270500 13827146004992 14167157792000 16305596704000 17283932506240 17414541568000 21604915632800 22667452467200 26088954726400 27006144541000 27654292009984 28334315584000 32611193408000 34567865012480 34829083136000 43209831265600 45334904934400 52177909452800 54012289082000 55308584019968 56668631168000 65222386816000 69135730024960 86419662531200 108024578164000 110617168039936 113337262336000 130444773632000 138271460049920 172839325062400 216049156328000 226674524672000 260889547264000 276542920099840 345678650124800 432098312656000 553085840199680 691357300249600 864196625312000 1382714600499200 1728393250624000 2765429200998400 3456786501248000 6913573002496000 13827146004992000
- Sum of all divisors σ(n): 35838587885805432
- Sum of proper divisors (its aliquot sum) s(n): 22011441880813432
- 13827146004992000 is an abundant number, because the sum of its proper divisors (22011441880813432) is greater than itself. Its abundance is 8184295875821432
Bases of 13827146004992000
- Binary: 1100010001111110110111010011011110001010010000000000002
- Hexadecimal: 0x311FB74DE29000
- Base-36: 3S5BB6L1IBK
Squares and roots of 13827146004992000
- 13827146004992000 squared (138271460049920002) is 191189966643366225688920064000000
- 13827146004992000 cubed (138271460049920003) is 2643611583467375047553332505896432959488000000000
-
The
square root of 13827146004992000 is 117588885.5504294675 -
The
cube root of 13827146004992000 is 240018.2046664979
Scales and comparisons
How big is 13827146004992000?- 13,827,146,004,992,000 seconds is equal to 439,660,472 years, 40 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,827,146,004,992,000 would take you about one billion, three hundred eighteen million, nine hundred eighty-one thousand, four hundred eighteen 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 13827146004992000 cubic inches would be around 20001.5 feet tall.
Recreational maths with 13827146004992000
- 13827146004992000 backwards is 00029940064172831
- The number of decimal digits it has is: 17
- The sum of 13827146004992000's digits is 56
- More coming soon!
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The information we have on file for 13827146004992000 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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