13128316431104000
13,128,316,431,104,000 is an even composite number composed of seven prime numbers multiplied together.
13128316431104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13128316431104000:
211 × 53 × 7 × 17 × 193 × 449 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 193 × 449 × 4973)See below for interesting mathematical facts about the number 13128316431104000 from the Numbermatics database.
Names of 13128316431104000
- Cardinal: 13128316431104000 can be written as Thirteen quadrillion, one hundred twenty-eight trillion, three hundred sixteen billion, four hundred thirty-one million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.3128316431104 × 1016
Factors of 13128316431104000
Divisors of 13128316431104000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 160 170 175 193 200 224 238 250 256 272 280 320 340 350 386 400 425 448 449 476 500 512 544 560 595 640 680 700 772 800 850 875 896 898 952 965 1000 1024 1088 1120 1190 1280 1351 1360 1400 1544 1600 1700 1750 1792 1796 1904 1930 2000 2048 2125 2176 2240 2245 2380 2560 2702 2720 2800 2975 3088 3143 3200 3281 3400 3500 3584 3592 3808 3860 4000 4250 4352 4480 4490 4760 4825 4973 5120 5404 5440 5600 5950 6176 6286 6400 6562 6755 6800 7000 7168 7184 7616 7633 7720 8000 8500 8704 8960 8980 9520 9650 9946 10240 10808 10880 11200 11225 11900 12352 12572 12800 13124 13510 13600 14000 14336 14368 14875 15232 15266 15440 15715 16000 16405 17000 17408 17920 17960 19040 19300 19892 21616 21760 22400 22450 22967 23800 24125 24704 24865 25144 25600 26248 27020 27200 28000 28736 29750 30464 30532 30880 31430 32000 32810 33775 34000 34811 34816 35840 35920 38080 38165 38600 39784 43232 43520 44800 44900 45934 47600 48250 49408 49730 50288 51200 52496 53431 54040 54400 56000 56125 57472 59500 60928 61064 61760 62860 64000 65620 67550 68000 69622 71680 71840 76160 76330 77200 78575 79568 82025 84541 86464 86657 87040 89600 89800 91868 95200 96500 98816 99460 100576 104992 106862 108080 108800 112000 112250 114835 114944 119000 121856 122128 123520 124325 125720 128000 131240 135100 136000 139244 143680 152320 152660 154400 157150 159136 164050 168875 169082 172928 173314 174055 174080 179200 179600 183736 190400 190825 193000 197632 198920 201152 209984 213724 216160 217600 224000 224500 229670 229888 238000 243712 244256 247040 248650 251440 256000 262480 267155 270200 272000 278488 287360 304640 305320 308800 314300 318272 328100 337750 338164 345856 346628 348110 358400 359200 367472 380800 381650 386000 392875 395264 397840 402304 410125 419968 422705 427448 432320 433285 435200 448000 449000 459340 459776 476000 488512 494080 497300 502880 524960 534310 540400 544000 556976 574175 574720 591787 606599 609280 610640 617600 621625 628600 636544 656200 675500 676328 691712 693256 696220 718400 734944 761600 763300 772000 785750 795680 804608 820250 839936 845410 854896 864640 866570 870275 870400 896000 898000 918680 919552 952000 954125 959789 977024 988160 994600 1005760 1049920 1068620 1080800 1088000 1113952 1148350 1149440 1183574 1213198 1218560 1221280 1235200 1243250 1257200 1273088 1312400 1335775 1351000 1352656 1383424 1386512 1392440 1436800 1469888 1473169 1523200 1526600 1544000 1571500 1591360 1609216 1640500 1679872 1690820 1709792 1729280 1733140 1740550 1792000 1796000 1837360 1904000 1908250 1919578 1954048 1976320 1989200 2011520 2099840 2113525 2137240 2161600 2166425 2176000 2227904 2232877 2296700 2298880 2367148 2426396 2442560 2470400 2486500 2514400 2546176 2624800 2671550 2702000 2705312 2766848 2773024 2784880 2870875 2873600 2939776 2946338 2958935 3032995 3046400 3053200 3088000 3143000 3182720 3218432 3281000 3359744 3381640 3419584 3458560 3466280 3481100 3592000 3674720 3808000 3816500 3839156 3908096 3978400 4023040 4199680 4227050 4274480 4323200 4332850 4351375 4352000 4455808 4465754 4593400 4597760 4734296 4798945 4852792 4885120 4940800 4973000 5028800 5092352 5249600 5343100 5404000 5410624 5546048 5569760 5741750 5747200 5879552 5892676 5917870 6065990 6092800 6106400 6176000 6286000 6365440 6436864 6562000 6678875 6718523 6719488 6763280 6839168 6917120 6932560 6962200 7184000 7349440 7365845 7616000 7633000 7678312 7816192 7956800 8046080 8399360 8454100 8548960 8646400 8665700 8702750 8911616 8931508 9186800 9468592 9597890 9705584 9770240 9881600 9946000 10057600 10184704 10312183 10499200 10567625 10686200 10808000 10821248 10832125 11092096 11139520 11164385 11483500 11494400 11759104 11785352 11835740 12131980 12212800 12352000 12572000 12730880 13124000 13357750 13437046 13526560 13678336 13834240 13865120 13924400 14368000 14698880 14731690 14794675 15164975 15232000 15266000 15356624 15630139 15632384 15913600 16092160 16316413 16798720 16908200 17097920 17292800 17331400 17405500 17823232 17863016 18373600 18937184 19195780 19411168 19540480 19892000 20115200 20624366 20998400 21135250 21372400 21616000 21642496 21664250 22184192 22279040 22328770 22967000 22988800 23518208 23570704 23671480 23994725 24263960 24425600 24704000 25144000 25461760 26248000 26715500 26874092 27053120 27356672 27730240 27848800 28736000 29397760 29463380 29589350 30329950 30464000 30532000 30713248 31260278 31827200 32184320 32632826 33592615 33597440 33816400 34195840 34585600 34662800 34811000 35646464 35726032 36747200 36829225 37874368 37958909 38391560 38822336 39080960 39784000 40230400 41248732 41996800 42270500 42744800 43232000 43284992 43328500 44368384 44558080 44657540 45934000 47036416 47141408 47342960 47989450 48527920 48851200 49408000 50288000 50923520 51560915 52496000 53431000 53748184 54106240 54713344 55460480 55697600 55821925 57472000 58795520 58926760 59178700 60659900 61064000 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26399188480 26571236300 26874092000 27580496704 28553722750 28580825600 29239012096 29304277748 30166168270 30299494400 30367127200 30713248000 31057868800 31260278000 32010524672 32632826000 32998985600 33214045375 33416013824 34011182464 34398837760 34475620880 35726032000 36548765120 36630347185 37713126400 37874368000 37958909000 38822336000 38869922816 40013155840 41248732000 41770017280 42513978080 42998547200 43094526100 45685956400 47141408000 48265869232 48587403520 49141196800 50016444800 51282486059 52212521600 52798376960 53142472600 53748184000 53868157625 55160993408 57107445500 57161651200 58478024192 58608555496 60332336540 60734254400 61426496000 62520556000 65265652000 65997971200 66428090750 68022364928 68797675520 68951241760 71452064000 73097530240 73260694370 75415420675 75426252800 75748736000 75917818000 77644672000 77739845632 80026311680 82497464000 83540034560 85027956160 85997094400 86189052200 91371912800 94282816000 96531738464 97174807040 100032889600 102564972118 104425043200 105596753920 106284945200 107496368000 107736315250 110321986816 114214891000 114323302400 116956048384 117217110992 120664673080 121468508800 122852992000 125041112000 130531304000 131995942400 132856181500 136044729856 137902483520 142904128000 146195060480 146521388740 150830841350 151497472000 151835636000 155289344000 160052623360 164994928000 167080069120 170055912320 171994188800 172378104400 182743825600 183151735925 188565632000 193063476928 194349614080 200065779200 205129944236 208850086400 212569890400 214992736000 215472630500 220643973632 228429782000 233912096768 234434221984 241329346160 242937017600 245705984000 250082224000 256412430295 261062608000 263991884800 265712363000 272089459712 275804967040 285808256000 292390120960 293042777480 301661682700 303671272000 329989856000 340111824640 343988377600 344756208800 365487651200 366303471850 377077103375 377131264000 386126953856 388699228160 400131558400 410259888472 417700172800 425139780800 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2720894597120 2758049670400 2923901209600 2930427774800 3016616827000 3089015630848 3282079107776 3401118246400 3447562088000 3654876512000 3663034718500 3750947551744 3861269538560 4001315584000 4102598884720 4177001728000 4251397808000 4412879472640 4688684439680 4826586923200 4858740352000 5128248605900 5516099340800 5847802419200 5860855549600 6033233654000 6178031261696 6410310757375 6564158215552 6802236492800 6895124176000 7309753024000 7326069437000 7501895103488 7722539077120 8205197769440 8502795616000 9377368879360 9653173846400 9717480704000 10256497211800 11032198681600 11721711099200 12066467308000 12820621514750 13128316431104 13604472985600 13790248352000 14619506048000 14652138874000 15003790206976 15445078154240 16410395538880 17005591232000 18754737758720 19306347692800 20512994423600 22064397363200 23443422198400 24132934616000 25641243029500 26256632862208 27580496704000 29239012096000 29304277748000 30890156308480 32820791077760 34011182464000 37509475517440 38612695385600 41025988847200 46886844396800 48265869232000 51282486059000 52513265724416 55160993408000 58608555496000 65641582155520 68022364928000 75018951034880 77225390771200 82051977694400 93773688793600 96531738464000 102564972118000 105026531448832 110321986816000 117217110992000 131283164311040 154450781542400 164103955388800 187547377587200 193063476928000 205129944236000 234434221984000 262566328622080 328207910777600 375094755174400 386126953856000 410259888472000 468868443968000 525132657244160 656415821555200 772253907712000 820519776944000 937736887936000 1312831643110400 1641039553888000 1875473775872000 2625663286220800 3282079107776000 6564158215552000 13128316431104000
- Sum of all divisors σ(n): 39944870836416000
- Sum of proper divisors (its aliquot sum) s(n): 26816554405312000
- 13128316431104000 is an abundant number, because the sum of its proper divisors (26816554405312000) is greater than itself. Its abundance is 13688237974208000
Bases of 13128316431104000
- Binary: 1011101010010000100010010111010101111111111000000000002
- Hexadecimal: 0x2EA4225D5FF800
- Base-36: 3L9LLB3ZS3K
Squares and roots of 13128316431104000
- 13128316431104000 squared (131283164311040002) is 172352692315195267578658816000000
- 13128316431104000 cubed (131283164311040003) is 2262700682466590142327128426863986212864000000000
-
The
square root of 13128316431104000 is 114578865.5516539839 -
The
cube root of 13128316431104000 is 235904.5651611415
Scales and comparisons
How big is 13128316431104000?- 13,128,316,431,104,000 seconds is equal to 417,439,853 years, 49 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,128,316,431,104,000 would take you about one billion, two hundred fifty-two million, three hundred nineteen thousand, five hundred sixty-one 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 13128316431104000 cubic inches would be around 19658.7 feet tall.
Recreational maths with 13128316431104000
- 13128316431104000 backwards is 00040113461382131
- The number of decimal digits it has is: 17
- The sum of 13128316431104000's digits is 38
- More coming soon!
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The information we have on file for 13128316431104000 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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