13137300624000
13,137,300,624,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13137300624000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
13137300624000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13137300624000:
27 × 3 × 53 × 73 × 61 × 103 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 61 × 103 × 127)See below for interesting mathematical facts about the number 13137300624000 from the Numbermatics database.
Names of 13137300624000
- Cardinal: 13137300624000 can be written as Thirteen trillion, one hundred thirty-seven billion, three hundred million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3137300624 × 1013
Factors of 13137300624000
Divisors of 13137300624000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 61 64 70 75 80 84 96 98 100 103 105 112 120 122 125 127 128 140 147 150 160 168 175 183 192 196 200 206 210 224 240 244 245 250 254 280 294 300 305 309 320 336 343 350 366 375 381 384 392 400 412 420 427 448 480 488 490 500 508 515 525 560 588 600 610 618 635 640 672 686 700 721 732 735 750 762 784 800 824 840 854 875 889 896 915 960 976 980 1000 1016 1029 1030 1050 1120 1176 1200 1220 1225 1236 1270 1281 1344 1372 1400 1442 1464 1470 1500 1524 1525 1545 1568 1600 1648 1680 1708 1715 1750 1778 1830 1905 1920 1952 1960 2000 2032 2058 2060 2100 2135 2163 2240 2352 2400 2440 2450 2472 2540 2562 2575 2625 2667 2688 2744 2800 2884 2928 2940 2989 3000 3048 3050 3090 3136 3175 3200 3296 3360 3416 3430 3500 3556 3605 3660 3675 3810 3904 3920 4000 4064 4116 4120 4200 4270 4326 4445 4480 4575 4704 4800 4880 4900 4944 5047 5080 5124 5145 5150 5250 5334 5488 5600 5768 5856 5880 5978 6000 6096 6100 6125 6180 6223 6272 6283 6350 6405 6592 6720 6832 6860 7000 7112 7210 7320 7350 7620 7625 7725 7747 7808 7840 8000 8128 8232 8240 8400 8540 8575 8652 8890 8967 9150 9408 9525 9600 9760 9800 9888 10094 10160 10248 10290 10300 10500 10668 10675 10815 10976 11200 11536 11712 11760 11956 12000 12192 12200 12250 12360 12446 12566 12700 12810 12875 13081 13184 13335 13440 13664 13720 14000 14224 14420 14640 14700 14945 15141 15240 15250 15450 15494 15680 15875 16000 16256 16464 16480 16800 17080 17150 17304 17780 17934 18025 18300 18375 18669 18816 18849 19050 19520 19600 19776 20188 20320 20496 20580 20600 20923 21000 21336 21350 21630 21952 22225 22400 22875 23072 23241 23424 23520 23912 24000 24384 24400 24500 24720 24892 25132 25235 25400 25620 25725 25750 26162 26670 27328 27440 28000 28448 28840 29280 29400 29890 30282 30480 30500 30900 30988 31115 31360 31415 31750 32025 32928 32960 33600 34160 34300 34608 35329 35560 35868 36050 36600 36750 37338 37698 38100 38625 38735 39040 39200 39243 39552 40376 40640 40992 41160 41200 41846 42000 42672 42700 42875 43260 43561 43904 43981 44450 44835 45750 46144 46482 47040 47625 47824 48000 48768 48800 49000 49440 49784 50264 50470 50800 51240 51450 51500 52324 53340 53375 54075 54229 54656 54880 56000 56896 57680 58560 58800 59780 60564 60960 61000 61800 61976 62230 62769 62830 63500 64050 65405 65856 65920 66675 67200 68320 68600 69216 70658 71120 71736 72100 73200 73500 74676 74725 75396 75705 76200 77250 77470 78400 78486 80752 81280 81984 82320 82400 83692 84000 85344 85400 85750 86520 87122 87962 88900 89670 90125 91500 91567 92288 92964 93345 94080 94245 95250 95648 97600 98000 98880 99568 100528 100940 101600 102480 102900 103000 104615 104648 105987 106680 106750 108150 108458 109760 111125 112000 113792 115360 116205 117120 117600 119560 121128 121920 122000 123600 123952 124460 125538 125660 126175 127000 128100 128625 130683 130810 131712 131943 133350 136640 137200 138432 141316 142240 143472 144200 146400 147000 149352 149450 150792 151410 152400 154500 154940 155575 156800 156972 157075 160125 161504 162687 163968 164640 164800 167384 168000 170688 170800 171500 173040 174244 175924 176645 177800 179340 180250 183000 183134 185928 186690 188490 190500 191296 193675 195200 196000 196215 197760 199136 201056 201880 203200 204960 205800 206000 209230 209296 211974 213360 213500 216300 216916 217805 219520 219905 222250 224175 230720 232410 235200 239120 242256 243840 244000 247200 247904 248920 251076 251320 252350 254000 256200 257250 261366 261620 263886 266700 270375 271145 273280 274400 274701 276864 282632 284480 286944 288400 292800 294000 298704 298900 301584 302820 304800 307867 309000 309880 311150 313845 313944 314150 320250 323008 325374 327025 329280 329600 333375 334768 336000 341376 341600 343000 346080 348488 351848 353290 355600 358680 360500 366000 366268 371856 373380 373625 376980 378525 379603 381000 382592 387350 392000 392430 398272 402112 403760 406400 409920 411600 412000 418460 418592 423948 426720 427000 432600 433832 435610 439810 444500 448350 457835 461440 464820 466725 470400 471225 478240 484512 488000 494400 495808 497840 502152 502640 504700 508000 512400 514500 522732 523075 523240 527772 529935 533400 540750 542290 548800 549402 565264 568960 573888 576800 581025 585600 588000 597408 597800 603168 605640 609600 615734 618000 619760 622300 627690 627888 628300 630875 640500 640969 646016 650748 653415 654050 658560 659715 666750 669536 683200 686000 692160 696976 703696 706580 711200 717360 721000 732000 732536 743712 746760 747250 753960 757050 759206 762000 774700 777875 784000 784860 785375 796544 797941 804224 807520 813435 819840 823200 824000 836920 837184 847896 853440 854000 865200 867664 871220 879620 883225 889000 896700 915670 923601 929640 933450 942450 956480 968375 969024 976000 981075 988800 991616 995680 1004304 1005280 1009400 1016000 1024800 1029000 1045464 1046150 1046480 1055544 1059870 1066800 1081500 1084580 1089025 1097600 1098804 1099525 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5694045 5738880 5768000 5810250 5860288 5974080 5978000 6031680 6056400 6073648 6096000 6157340 6197600 6223000 6276900 6278880 6283000 6383528 6409690 6465207 6507480 6534150 6540500 6597150 6695360 6778625 6783168 6832000 6867525 6921600 6941312 6969760 7036960 7065800 7112000 7173600 7325360 7388808 7437120 7467600 7539600 7570500 7592060 7691628 7696675 7747000 7846125 7848600 7971663 7979410 8034432 8075200 8134350 8232000 8363712 8369200 8371840 8444352 8478960 8534400 8620276 8652000 8676640 8712200 8790432 8796200 8832250 8967000 8973566 9110472 9156700 9236010 9296400 9334500 9424500 9490075 9564800 9575292 9614535 9690240 9810750 9851744 9956800 10043040 10052800 10094000 10248000 10255504 10411968 10454640 10461500 10464800 10555440 10598700 10628884 10668000 10775345 10845800 10890250 10988040 10995250 11171174 11305280 11388090 11445875 11536000 11620500 11720576 11948160 11956000 11969115 12063360 12112800 12147296 12314680 12395200 12446000 12553800 12557760 12566000 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139395200 139639675 140739200 141316000 142351125 143472000 143577056 145767552 146507200 147776160 149352000 150792000 151841200 153204672 153832560 153933500 156396436 156972000 159433260 159588200 160242250 161630175 162687000 167384000 167567610 169579200 170062144 172405520 173532800 174244000 175808640 175924000 178738784 179471320 182209440 183134000 184720200 185928000 189801500 191505840 192290700 195495545 197034880 199291575 199485250 200860800 205110080 206886624 209092800 209296000 211108800 211974000 212577680 215365584 215506900 216916000 219760800 223423480 224339150 227761800 230900250 234594654 239382300 240363375 242256000 242945920 246132096 246293600 251076000 255093216 255341120 256387600 258608280 260299200 261366000 263886000 265722100 268108176 269206980 269383625 273693763 274701000 275848832 279279350 282632000 284702250 287154112 293014400 295552320 298704000 299227875 301584000 303682400 306409344 307665120 307867000 312792872 313944000 318866520 319176400 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862027600 867664000 879043200 893693920 897356600 911047200 923601000 938378616 957529200 961453500 977477725 985174400 996457875 1004304000 1020372864 1025550400 1034433120 1045464000 1055544000 1062888400 1072432704 1076827920 1077534500 1094775052 1098804000 1117117400 1121695750 1138809000 1172973270 1196911500 1214729600 1230660480 1231468000 1251171488 1275466080 1276705600 1281938000 1293041400 1301496000 1328610500 1340540880 1346034900 1368468815 1379244160 1396396750 1435770560 1465072000 1477761600 1518412000 1532046720 1538325600 1563964360 1594332600 1595882000 1616301750 1642162578 1675676100 1682543625 1695792000 1700621440 1722924672 1724055200 1787387840 1794713200 1822094400 1847202000 1876757232 1915058400 1922907000 1954955450 1992915750 2051100800 2068866240 2090928000 2094595125 2111088000 2125776800 2144865408 2153655840 2155069000 2189550104 2197608000 2234234800 2243391500 2277618000 2345946540 2393823000 2462936000 2502342976 2550932160 2553411200 2563876000 2586082800 2602992000 2657221000 2681081760 2692069800 2736937630 2792793500 2871541120 2932433175 2955523200 3036824000 3076651200 3127928720 3188665200 3191764000 3232603500 3284325156 3351352200 3365087250 3448110400 3574775680 3589426400 3644188800 3694404000 3753514464 3830116800 3845814000 3909910900 3985831500 4105406445 4137732480 4189190250 4251553600 4307311680 4310138000 4379100208 4395216000 4468469600 4486783000 4555236000 4691893080 4787646000 4887388625 4925872000 5004685952 5101864320 5127752000 5172165600 5314442000 5362163520 5384139600 5473875260 5585587000 5864866350 6073648000 6153302400 6255857440 6377330400 6383528000 6465207000 6568650312 6702704400 6730174500 6842344075 6896220800 7178852800 7388808000 7507028928 7660233600 7691628000 7819821800 7971663000 8210812890 8378380500 8503107200 8614623360 8620276000 8758200416 8936939200 8973566000 9110472000 9383786160 9575292000 9774777250 10255504000 10344331200 10628884000 10724327040 10768279200 10947750520 11171174000 11729732700 12511714880 12754660800 12767056000 12930414000 13137300624 13405408800 13460349000 13684688150 14357705600 14662165875 14777616000 15014057856 15383256000 15639643600 15943326000 16421625780 16756761000 17240552000 17516400832 17873878400 17947132000 18220944000 18767572320 19150584000 19549554500 20527032225 20688662400 21257768000 21536558400 21895501040 22342348000 23459465400 25023429760 25509321600 25860828000 26274601248 26810817600 26920698000 27369376300 29324331750 30766512000 31279287200 31886652000 32843251560 33513522000 34211720375 34481104000 35032801664 35894264000 37535144640 38301168000 39099109000 41054064450 42515536000 43073116800 43791002080 44684696000 46918930800 51721656000 52549202496 53621635200 53841396000 54738752600 58648663500 62558574400 63773304000 65686503120 67027044000 68423440750 71788528000 75070289280 78198218000 82108128900 87582004160 89369392000 93837861600 102635161125 103443312000 105098404992 107682792000 109477505200 117297327000 125117148800 127546608000 131373006240 134054088000 136846881500 156396436000 164216257800 175164008320 187675723200 205270322250 215365584000 218955010400 234594654000 262746012480 268108176000 273693763000 312792872000 328432515600 375351446400 410540644500 437910020800 469189308000 525492024960 547387526000 625585744000 656865031200 821081289000 875820041600 938378616000 1094775052000 1313730062400 1642162578000 1876757232000 2189550104000 2627460124800 3284325156000 4379100208000 6568650312000 13137300624000
- Sum of all divisors σ(n): 52531494912000
- Sum of proper divisors (its aliquot sum) s(n): 39394194288000
- 13137300624000 is an abundant number, because the sum of its proper divisors (39394194288000) is greater than itself. Its abundance is 26256893664000
Bases of 13137300624000
- Binary: 101111110010110001000010001100010010100000002
- Hexadecimal: 0xBF2C4231280
- Base-36: 4NN6XLH1C
Squares and roots of 13137300624000
- 13137300624000 squared (131373006240002) is 172588667685350789376000000
- 13137300624000 cubed (131373006240003) is 2267349211678087560928217370624000000000
-
The
square root of 13137300624000 is 3624541.4363750899 -
The
cube root of 13137300624000 is 23595.8365632543
Scales and comparisons
How big is 13137300624000?- 13,137,300,624,000 seconds is equal to 417,725 years, 27 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,137,300,624,000 would take you about one million, forty-four thousand, three hundred thirteen 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 13137300624000 cubic inches would be around 1966.3 feet tall.
Recreational maths with 13137300624000
- 13137300624000 backwards is 00042600373131
- 13137300624000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13137300624000's digits is 30
- More coming soon!
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Numbermatics. (2024). Number 13137300624000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13137300624000/
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The information we have on file for 13137300624000 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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