13185138103072000
13,185,138,103,072,000 is an even composite number composed of seven prime numbers multiplied together.
13185138103072000 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 13185138103072000:
28 × 53 × 13 × 53 × 67 × 457 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 53 × 67 × 457 × 19531)See below for interesting mathematical facts about the number 13185138103072000 from the Numbermatics database.
Names of 13185138103072000
- Cardinal: 13185138103072000 can be written as Thirteen quadrillion, one hundred eighty-five trillion, one hundred thirty-eight billion, one hundred three million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.3185138103072 × 1016
Factors of 13185138103072000
Divisors of 13185138103072000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 67 80 100 104 106 125 128 130 134 160 200 208 212 250 256 260 265 268 320 325 335 400 416 424 457 500 520 530 536 640 650 670 689 800 832 848 871 914 1000 1040 1060 1072 1280 1300 1325 1340 1378 1600 1625 1664 1675 1696 1742 1828 2000 2080 2120 2144 2285 2600 2650 2680 2756 3200 3250 3328 3350 3392 3445 3484 3551 3656 4000 4160 4240 4288 4355 4570 5200 5300 5360 5512 5941 6400 6500 6625 6700 6784 6890 6968 7102 7312 8000 8320 8375 8480 8576 8710 9140 10400 10600 10720 11024 11425 11882 13000 13250 13400 13568 13780 13936 14204 14624 16000 16640 16750 16960 17152 17225 17420 17755 18280 19531 20800 21200 21440 21775 22048 22850 23764 24221 26000 26500 26800 27560 27872 28408 29248 29705 30619 32000 33500 33920 34450 34840 35510 36560 39062 41600 42400 42880 43550 44096 45700 46163 47528 48442 52000 53000 53600 55120 55744 56816 57125 58496 59410 61238 67000 67840 68900 69680 71020 73120 78124 83200 84800 85760 86125 87100 88192 88775 91400 92326 95056 96884 97655 104000 106000 107200 108875 110240 111488 113632 114250 116992 118820 121105 122476 134000 137800 139360 142040 146240 148525 153095 156248 169600 172250 174200 176384 177550 182800 184652 190112 193768 195310 208000 212000 214400 217750 220480 222976 227264 228500 230815 237640 242210 244952 253903 268000 275600 278720 284080 292480 297050 306190 312496 314873 339200 344500 348400 355100 365600 369304 380224 387536 390620 398047 416000 424000 428800 435500 440960 443875 454528 457000 461630 475280 484420 488275 489904 507806 536000 551200 557440 568160 584960 594100 605525 612380 624992 629746 689000 696800 710200 731200 738608 742625 760448 765475 775072 781240 796094 848000 871000 881920 887750 909056 914000 923260 950560 968840 976550 979808 1015612 1035143 1072000 1102400 1114880 1136320 1154075 1188200 1211050 1224760 1249984 1259492 1269515 1308577 1378000 1393600 1420400 1462400 1477216 1485250 1520896 1530950 1550144 1562480 1574365 1592188 1622807 1696000 1742000 1775500 1828000 1846520 1901120 1937680 1953100 1959616 1990235 2031224 2070286 2144000 2204800 2272640 2308150 2376400 2422100 2441375 2449520 2499968 2518984 2539030 2617154 2756000 2787200 2840800 2924800 2954432 2970500 3027625 3061900 3100288 3124960 3148730 3184376 3245614 3484000 3551000 3656000 3693040 3802240 3827375 3875360 3906200 3919232 3980470 4062448 4140572 4409600 4545280 4616300 4752800 4844200 4882750 4899040 4999936 5037968 5078060 5175715 5234308 5512000 5574400 5681600 5770375 5908864 5941000 6055250 6123800 6200576 6249920 6297460 6347575 6368752 6491228 6542885 6968000 7102000 7312000 7386080 7604480 7654750 7750720 7812400 7838464 7871825 7960940 8114035 8124896 8281144 8925667 9232600 9505600 9688400 9765500 9798080 9951175 10075936 10156120 10351430 10468616 11024000 11363200 11540750 11817728 11882000 12110500 12247600 12499840 12594920 12695150 12737504 12982456 13085770 13456859 13936000 14204000 14624000 14772160 15309500 15501440 15624800 15743650 15921880 16228070 16249792 16562288 17011501 17851334 18465200 19011200 19376800 19531000 19596160 19902350 20151872 20312240 20702860 20937232 21096491 22048000 22726400 23081500 23764000 24221000 24495200 24999680 25189840 25390300 25475008 25878575 25964912 26171540 26913718 27872000 28408000 29544320 30619000 31002880 31249600 31487300 31737875 31843760 32456140 32499584 32714425 33124576 34023002 35702668 36930400 38022400 38753600 39062000 39192320 39359125 39804700 40303744 40570175 40624480 41405720 41874464 42192982 44628335 46163000 47528000 48442000 48990400 49755875 50379680 50780600 50950016 51757150 51929824 52343080 53827436 56816000 59088640 61238000 62499200 62974600 63475750 63687520 64912280 64999168 65428850 66249152 67284295 68046004 69354581 71405336 73860800 77507200 78124000 78718250 79609400 80607488 81140350 81248960 82811440 83748928 84385964 85057505 89256670 92326000 95056000 96884000 97980800 99511750 100759360 101561200 101900032 103514300 103859648 104686160 105482455 107654872 113632000 116033671 122476000 124998400 125949200 126951500 127375040 129392875 129824560 130857700 132498304 134568590 136092008 138709162 142810672 147721600 155014400 156248000 157436500 159218800 162280700 162497920 163572125 165622880 167497856 168771928 170115010 178513340 184652000 190112000 193768000 195961600 199023500 201518720 202850875 203122400 207028600 207719296 209372320 210964910 215309744 223141675 232067342 244952000 251898400 253903000 254750080 258785750 259649120 261715400 264996608 269137180 272184016 277418324 285621344 295443200 312496000 314873000 318437600 324561400 324995840 327144250 331245760 334995712 336421475 337543856 340230020 346772905 357026680 369304000 387536000 398047000 403037440 405701750 406244800 414057200 415438592 418744640 421929820 425287525 430619488 446283350 464134684 473060351 489904000 503796800 507806000 509500160 517571500 519298240 523430800 527412275 538274360 544368032 554836648 571242688 580168355 598019689 624992000 629746000 636875200 649122800 654288500 662491520 672842950 675087712 680460040 693545810 714053360 738608000 775072000 796094000 811403500 812489600 828114400 837489280 843859640 850575050 861238976 892566700 901609553 928269368 946120702 979808000 1007593600 1015612000 1035143000 1038596480 1046861600 1054824550 1076548720 1088736064 1109673296 1115708375 1142485376 1160336710 1196039378 1259492000 1273750400 1298245600 1308577000 1324983040 1345685900 1350175424 1360920080 1387091620 1428106720 1477216000 1592188000 1622807000 1624979200 1656228800 1674978560 1682107375 1687719280 1701150100 1722477952 1733864525 1785133400 1803219106 1856538736 1892241404 2015187200 2031224000 2070286000 2077192960 2093723200 2109649100 2126437625 2153097440 2177472128 2219346592 2231416750 2284970752 2320673420 2365301755 2392078756 2518984000 2547500800 2596491200 2617154000 2637061375 2691371800 2700350848 2721840160 2774183240 2856213440 2900841775 2990098445 3184376000 3245614000 3312457600 3364214750 3375438560 3402300200 3444955904 3467729050 3570266800 3606438212 3713077472 3784482808 4062448000 4140572000 4187446400 4219298200 4252875250 4306194880 4354944256 4438693184 4462833500 4508047765 4641346840 4730603510 4784157512 5037968000 5192982400 5234308000 5274122750 5382743600 5400701696 5443680320 5548366480 5712426880 5801683550 5980196890 6149784563 6368752000 6491228000 6624915200 6728429500 6750877120 6804600400 6935458100 7140533600 7212876424 7426154944 7568965616 7774255957 8124896000 8281144000 8374892800 8438596400 8505750500 8612389760 8669322625 8877386368 8925667000 9016095530 9282693680 9461207020 9568315024 10075936000 10385964800 10468616000 10548245500 10765487200 10887360640 11096732960 11424853760 11603367100 11826508775 11960393780 12299569126 12737504000 12982456000 13456859000 13501754240 13609200800 13870916200 14281067200 14425752848 14504208875 14852309888 14950492225 15137931232 15548511914 16562288000 16877192800 17011501000 17224779520 17338645250 17754772736 17851334000 18032191060 18565387360 18922414040 19136630048 20937232000 21096491000 21530974400 21774721280 22193465920 22540238825 23206734200 23653017550 23920787560 24599138252 25964912000 26913718000 27003508480 27218401600 27741832400 28562134400 28851505696 29008417750 29704619776 29900984450 30275862464 30748922815 31097023828 31695043517 33124576000 33754385600 34023002000 34677290500 35702668000 36064382120 37130774720 37844828080 38273260096 38871279785 41874464000 42192982000 43061948800 44386931840 45080477650 46413468400 47306035100 47841575120 49198276504 51929824000 53827436000 54436803200 55483664800 57124268800 57703011392 58016835500 59132543875 59801968900 60551724928 61497845630 62194047656 63390087034 67508771200 68046004000 69354581000 71405336000 72128764240 74261549440 74752461125 75689656160 76546520192 77742559570 84385964000 86123897600 88773863680 90160955300 92826936800 94612070200 95683150240 98396553008 107654872000 108873606400 110967329600 112701194125 115406022784 116033671000 118265087750 119603937800 121103449856 122995691260 124388095312 126780174068 135017542400 136092008000 138709162000 142810672000 144257528480 148523098880 149504922250 151379312320 153093040384 153744614075 155485119140 158475217585 168771928000 180321910600 185653873600 189224140400 191366300480 194356398925 196793106016 215309744000 221934659200 225402388250 230812045568 232067342000 236530175500 239207875600 245991382520 248776190624 253560348136 272184016000 277418324000 285621344000 288515056960 299009844500 302758624640 307489228150 310970238280 316950435170 337543856000 360643821200 371307747200 378448280800 382732600960 388712797850 393586212032 412035565721 430619488000 443869318400 450804776500 464134684000 473060351000 478415751200 491982765040 497552381248 507120696272 544368032000 554836648000 577030113920 598019689000 605517249280 614978456300 621940476560 633900870340 675087712000 721287642400 742615494400 756896561600 765465201920 768723070375 777425595700 787172424064 792376087925 824071131442 901609553000 928269368000 946120702000 956831502400 971781994625 983965530080 995104762496 1014241392544 1109673296000 1154060227840 1196039378000 1229956912600 1243880953120 1267801740680 1442575284800 1513793123200 1537446140750 1554851191400 1574344848128 1584752175850 1648142262884 1803219106000 1856538736000 1892241404000 1913663004800 1943563989250 1967931060160 1990209524992 2028482785088 2060177828605 2219346592000 2392078756000 2459913825200 2487761906240 2535603481360 2885150569600 3027586246400 3074892281500 3109702382800 3169504351700 3296284525768 3606438212000 3713077472000 3784482808000 3827326009600 3887127978500 3935862120320 3961880439625 4056965570176 4120355657210 4784157512000 4919827650400 4975523812480 5071206962720 5770301139200 6149784563000 6219404765600 6339008703400 6592569051536 7212876424000 7568965616000 7774255957000 7871724240640 7923760879250 8113931140352 8240711314420 9568315024000 9839655300800 9951047624960 10142413925440 10300889143025 12299569126000 12438809531200 12678017406800 13185138103072 14425752848000 15137931232000 15548511914000 15847521758500 16481422628840 19136630048000 19679310601600 20284827850880 20601778286050 24599138252000 24877619062400 25356034813600 26370276206144 28851505696000 31097023828000 31695043517000 32962845257680 39358621203200 40569655701760 41203556572100 49198276504000 49755238124800 50712069627200 51504445715125 52740552412288 62194047656000 63390087034000 65925690515360 82407113144200 98396553008000 101424139254400 103008891430250 105481104824576 124388095312000 126780174068000 131851381030720 164814226288400 196793106016000 202848278508800 206017782860500 248776190624000 253560348136000 263702762061440 329628452576800 412035565721000 507120696272000 527405524122880 659256905153600 824071131442000 1014241392544000 1318513810307200 1648142262884000 2637027620614400 3296284525768000 6592569051536000 13185138103072000
- Sum of all divisors σ(n): 36659657259283968
- Sum of proper divisors (its aliquot sum) s(n): 23474519156211968
- 13185138103072000 is an abundant number, because the sum of its proper divisors (23474519156211968) is greater than itself. Its abundance is 10289381053139968
Bases of 13185138103072000
- Binary: 1011101101011111010000001100001111001010110101000000002
- Hexadecimal: 0x2ED7D030F2B500
- Base-36: 3LTQOTOE3GG
Squares and roots of 13185138103072000
- 13185138103072000 squared (131851381030720002) is 173847866797081098495837184000000
- 13185138103072000 cubed (131851381030720003) is 2292208132643979607367948680734322229248000000000
-
The
square root of 13185138103072000 is 114826556.6107074379 -
The
cube root of 13185138103072000 is 236244.4208527853
Scales and comparisons
How big is 13185138103072000?- 13,185,138,103,072,000 seconds is equal to 419,246,607 years, 19 weeks, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,185,138,103,072,000 would take you about one billion, two hundred fifty-seven million, seven hundred thirty-nine thousand, eight hundred twenty-two 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 13185138103072000 cubic inches would be around 19687 feet tall.
Recreational maths with 13185138103072000
- 13185138103072000 backwards is 00027030183158131
- The number of decimal digits it has is: 17
- The sum of 13185138103072000's digits is 43
- More coming soon!
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The information we have on file for 13185138103072000 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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