13116811968000
13,116,811,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13116811968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13116811968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13116811968000:
29 × 32 × 53 × 132 × 127 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 127 × 1061)See below for interesting mathematical facts about the number 13116811968000 from the Numbermatics database.
Names of 13116811968000
- Cardinal: 13116811968000 can be written as Thirteen trillion, one hundred sixteen billion, eight hundred eleven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3116811968 × 1013
Factors of 13116811968000
Divisors of 13116811968000
- Number of divisors d(n): 1440
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 127 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 250 254 256 260 288 300 312 320 325 338 360 375 381 384 390 400 416 450 468 480 500 507 508 512 520 576 585 600 624 635 640 650 676 720 750 762 768 780 800 832 845 900 936 960 975 1000 1014 1016 1040 1061 1125 1143 1152 1170 1200 1248 1270 1280 1300 1352 1440 1500 1521 1524 1536 1560 1600 1625 1651 1664 1690 1800 1872 1905 1920 1950 2000 2028 2032 2080 2122 2250 2286 2304 2340 2400 2496 2535 2540 2560 2600 2704 2880 2925 3000 3042 3048 3120 3175 3183 3200 3250 3302 3328 3380 3600 3744 3810 3840 3900 4000 4056 4064 4160 4225 4244 4500 4572 4608 4680 4800 4875 4953 4992 5070 5080 5200 5305 5408 5715 5760 5850 6000 6084 6096 6240 6350 6366 6400 6500 6604 6656 6760 7200 7488 7605 7620 7680 7800 8000 8112 8128 8255 8320 8450 8488 9000 9144 9360 9525 9549 9600 9750 9906 9984 10140 10160 10400 10610 10816 11430 11520 11700 12000 12168 12192 12480 12675 12700 12732 12800 13000 13208 13520 13793 14400 14625 14859 14976 15210 15240 15600 15875 15915 16000 16224 16256 16510 16640 16900 16976 18000 18288 18720 19050 19098 19200 19500 19812 19968 20280 20320 20800 21125 21220 21463 21632 22860 23040 23400 24000 24336 24384 24765 24960 25350 25400 25464 26000 26416 26525 27040 27586 28575 28800 29250 29718 29952 30420 30480 31200 31750 31830 32000 32448 32512 33020 33280 33800 33952 36000 36576 37440 38025 38100 38196 38400 39000 39624 40560 40640 41275 41379 41600 42250 42440 42926 43264 45720 46800 47625 47745 48000 48672 48768 49530 49920 50700 50800 50928 52000 52832 53050 54080 55172 57150 57600 58500 59436 59904 60840 60960 62400 63375 63500 63660 64000 64389 64896 65024 66040 67600 67904 68965 72000 73152 74295 74880 76050 76200 76392 78000 79248 79575 81120 81280 82550 82758 83200 84500 84880 85852 86528 91440 93600 95250 95490 96000 97344 97536 99060 99840 101400 101600 101856 104000 105664 106100 107315 108160 110344 114300 115200 117000 118872 121680 121920 123825 124137 124800 126750 127000 127320 128778 129792 132080 132625 134747 135200 135808 137930 142875 144000 146304 148590 149760 152100 152400 152784 156000 158496 159150 162240 162560 165100 165516 166400 169000 169760 171704 179309 182880 187200 190125 190500 190980 192000 193167 194688 195072 198120 202800 203200 203712 206375 206895 208000 211328 212200 214630 216320 220688 228600 234000 237744 238725 243360 243840 247650 248274 249600 253500 254000 254640 257556 259584 264160 265250 269494 270400 271616 275860 285750 288000 292608 297180 299520 304200 304800 305568 312000 316992 318300 321945 324480 325120 330200 331032 338000 339520 343408 344825 358618 365760 371475 374400 380250 381000 381960 386334 389376 396240 397875 404241 405600 406400 407424 412750 413790 416000 422656 424400 429260 432640 441376 457200 468000 475488 477450 486720 487680 495300 496548 499200 507000 508000 509280 515112 528320 530500 536575 537927 538988 540800 543232 551720 571500 576000 585216 594360 608400 609600 611136 619125 620685 624000 633984 636600 643890 648960 660400 662064 673735 676000 679040 686816 689650 717236 731520 742950 748800 760500 762000 763920 772668 778752 792480 795750 808482 811200 812800 814848 825500 827580 832000 845312 848800 858520 882752 896545 914400 936000 950976 954900 965835 973440 975360 990600 993096 1014000 1016000 1018560 1030224 1034475 1056640 1061000 1073150 1075854 1077976 1081600 1103440 1143000 1188720 1193625 1212723 1216800 1219200 1222272 1238250 1241370 1248000 1267968 1273200 1287780 1297920 1320800 1324128 1347470 1352000 1358080 1373632 1379300 1434472 1463040 1485900 1497600 1521000 1524000 1527840 1545336 1584960 1591500 1609725 1613781 1616964 1622400 1625600 1629696 1651000 1655160 1697600 1717040 1724125 1751711 1765504 1793090 1828800 1857375 1872000 1901952 1909800 1931670 1946880 1981200 1986192 2021205 2028000 2032000 2037120 2060448 2068950 2113280 2122000 2146300 2151708 2155952 2163200 2206880 2286000 2377440 2387250 2425446 2433600 2438400 2444544 2476500 2482740 2496000 2535936 2546400 2575560 2641600 2648256 2682875 2689635 2694940 2704000 2716160 2747264 2758600 2868944 2926080 2971800 3042000 3048000 3055680 3090672 3103425 3169920 3183000 3219450 3227562 3233928 3244800 3302000 3310320 3368675 3395200 3434080 3448250 3503422 3531008 3586180 3657600 3714750 3744000 3803904 3819600 3863340 3893760 3962400 3972384 4042410 4056000 4064000 4074240 4120896 4137900 4226560 4244000 4292600 4303416 4311904 4413760 4482725 4572000 4754880 4774500 4829175 4850892 4867200 4876800 4889088 4953000 4965480 5092800 5151120 5172375 5255133 5283200 5296512 5365750 5379270 5389880 5408000 5494528 5517200 5737888 5943600 6063615 6084000 6096000 6111360 6181344 6206850 6339840 6366000 6438900 6455124 6467856 6489600 6604000 6620640 6737350 6790400 6868160 6896500 7006844 7062016 7172360 7315200 7429500 7488000 7607808 7639200 7726680 7924800 7944768 8048625 8068905 8084820 8112000 8128000 8148480 8241792 8275800 8488000 8585200 8606832 8623808 8758555 8827520 8965450 9144000 9509760 9549000 9658350 9701784 9734400 9906000 9930960 10106025 10185600 10302240 10344750 10510266 10566400 10593024 10731500 10758540 10779760 10816000 10989056 11034400 11475776 11887200 12127230 12168000 12192000 12222720 12362688 12413700 12679680 12732000 12877800 12910248 12935712 13208000 13241280 13448175 13474700 13580800 13736320 13793000 14013688 14344720 14630400 14859000 15278400 15453360 15517125 15765399 15849600 15889536 16097250 16137810 16169640 16224000 16483584 16551600 16843375 16976000 17170400 17213664 17247616 17517110 17655040 17930900 18288000 19019520 19098000 19316700 19403568 19468800 19812000 19861920 20212050 20371200 20604480 20689500 21020532 21132800 21186048 21463000 21517080 21559520 22068800 22413625 22772243 22951552 23774400 24145875 24254460 24336000 24384000 24445440 24725376 24827400 25464000 25755600 25820496 25871424 26275665 26416000 26482560 26896350 26949400 27472640 27586000 28027376 28689440 29718000 30318075 30556800 30906720 31034250 31530798 31699200 31779072 32194500 32275620 32339280 32448000 32967168 33103200 33686750 33952000 34340800 34427328 34495232 35034220 35310080 35861800 36576000 38039040 38196000 38633400 38807136 39624000 39723840 40344525 40424100 40742400 41208960 41379000 42041064 42926000 43034160 43119040 43792775 44137600 44827250 45544486 45903104 47548800 48291750 48508920 48672000 49450752 49654800 50530125 50928000 51511200 51640992 51742848 52551330 52832000 52965120 53792700 53898800 54945280 55172000 56054752 57378880 59436000 60636150 61113600 61813440 62068500 63061596 63398400 63558144 64389000 64551240 64678560 66206400 67240875 67373500 67904000 68316729 68681600 68854656 68990464 70068440 71723600 73152000 76392000 77266800 77614272 78826995 79248000 79447680 80689050 80848200 82417920 82758000 84082128 85852000 86068320 86238080 87585550 88275200 89654500 91088972 91806208 95097600 96583500 97017840 97344000 98901504 99309600 101060250 101856000 103022400 103281984 103485696 105102660 105664000 105930240 107585400 107797600 110344000 112109504 113861215 114757760 118872000 121272300 122227200 123626880 124137000 126123192 128778000 129102480 129357120 131378325 132412800 134481750 134747000 136633458 137363200 137709312 140136880 143447200 151590375 152784000 154533600 155228544 157653990 158496000 158895360 161378100 161696400 164835840 165516000 168164256 171704000 172136640 172476160 175171100 176550400 179309000 182177944 190195200 193167000 194035680 198619200 201722625 202120500 203712000 204950187 206044800 206563968 206971392 210205320 215170800 215595200 218963875 220688000 224219008 227722430 229515520 237744000 242544600 247253760 248274000 252246384 257556000 258204960 258714240 262756650 264825600 268963500 269494000 273266916 274726400 275418624 280273760 286894400 303180750 305568000 309067200 310457088 315307980 316992000 317790720 322756200 323392800 331032000 336328512 341583645 343408000 344273280 344952320 350342200 358618000 364355888 386334000 388071360 394134975 397238400 403445250 404241000 409900374 412089600 413127936 420410640 430341600 431190400 437927750 441376000 448438016 455444860 459031040 475488000 485089200 494507520 496548000 504492768 515112000 516409920 517428480 525513300 529651200 537927000 538988000 546533832 560547520 569306075 573788800 606361500 611136000 618134400 620914176 630615960 645512400 646785600 656891625 662064000 672657024 683167290 686816000 688546560 700684400 717236000 728711776 772668000 776142720 788269950 794476800 806890500 808482000 819800748 824179200 826255872 840821280 860683200 862380800 875855500 882752000 896876032 910889720 950976000 970178400 993096000 1008985536 1024750935 1030224000 1032819840 1034856960 1051026600 1075854000 1077976000 1093067664 1121095040 1138612150 1147577600 1212723000 1236268800 1261231920 1291024800 1293571200 1313783250 1324128000 1345314048 1366334580 1373632000 1377093120 1401368800 1434472000 1457423552 1545336000 1552285440 1576539900 1588953600 1613781000 1616964000 1639601496 1681642560 1707918225 1721366400 1724761600 1751711000 1821779440 1940356800 1970674875 1986192000 2017971072 2049501870 2060448000 2065639680 2102053200 2151708000 2155952000 2186135328 2242190080 2277224300 2295155200 2425446000 2472537600 2522463840 2582049600 2587142400 2627566500 2648256000 2690628096 2732669160 2802737600 2846530375 2868944000 2914847104 3090672000 3104570880 3153079800 3227562000 3233928000 3279202992 3363285120 3415836450 3442732800 3503422000 3643558880 3880713600 3941349750 3972384000 4035942144 4099003740 4120896000 4131279360 4204106400 4303416000 4311904000 4372270656 4484380160 4554448600 4850892000 5044927680 5123754675 5164099200 5174284800 5255133000 5465338320 5605475200 5693060750 5737888000 5829694208 6181344000 6306159600 6455124000 6467856000 6558405984 6726570240 6831672900 6885465600 7006844000 7287117760 7761427200 7882699500 7944768000 8071884288 8198007480 8408212800 8539591125 8606832000 8623808000 8744541312 9108897200 9701784000 10089855360 10247509350 10328198400 10510266000 10930676640 11210950400 11386121500 11475776000 11659388416 12362688000 12612319200 12910248000 12935712000 13116811968 13453140480 13663345800 14013688000 14574235520 15522854400 15765399000 16396014960 16816425600 17079182250 17213664000 17489082624 18217794400 19403568000 20179710720 20495018700 20656396800 21020532000 21861353280 22421900800 22772243000 25224638400 25618773375 25820496000 25871424000 26233623936 27326691600 28027376000 29148471040 31530798000 32792029920 33632851200 34158364500 34427328000 34978165248 36435588800 38807136000 40359421440 40990037400 42041064000 43722706560 45544486000 50449276800 51237546750 51640992000 52467247872 54653383200 56054752000 58296942080 63061596000 65584059840 67265702400 68316729000 72871177600 77614272000 81980074800 84082128000 87445413120 91088972000 100898553600 102475093500 103281984000 104934495744 109306766400 112109504000 126123192000 131168119680 136633458000 145742355200 163960149600 168164256000 174890826240 182177944000 201797107200 204950187000 218613532800 252246384000 262336239360 273266916000 291484710400 327920299200 336328512000 364355888000 409900374000 437227065600 504492768000 524672478720 546533832000 655840598400 728711776000 819800748000 874454131200 1008985536000 1093067664000 1311681196800 1457423552000 1639601496000 2186135328000 2623362393600 3279202992000 4372270656000 6558405984000 13116811968000
- Sum of all divisors σ(n): 51609441641472
- Sum of proper divisors (its aliquot sum) s(n): 38492629673472
- 13116811968000 is an abundant number, because the sum of its proper divisors (38492629673472) is greater than itself. Its abundance is 25375817705472
Bases of 13116811968000
- Binary: 101111101101111111101110101011111110000000002
- Hexadecimal: 0xBEDFEEAFE00
- Base-36: 4NDS36GW0
Squares and roots of 13116811968000
- 13116811968000 squared (131168119680002) is 172050756203868033024000000
- 13116811968000 cubed (131168119680003) is 2256757418078346463461822431232000000000
-
The
square root of 13116811968000 is 3621713.9544696237 -
The
cube root of 13116811968000 is 23583.5636584225
Scales and comparisons
How big is 13116811968000?- 13,116,811,968,000 seconds is equal to 417,074 years, 2 weeks, 3 days, 8 hours.
-
To count from 1 to 13,116,811,968,000 would take you about one million, forty-two thousand, six hundred eighty-five 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 13116811968000 cubic inches would be around 1965.3 feet tall.
Recreational maths with 13116811968000
- 13116811968000 backwards is 00086911861131
- 13116811968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13116811968000's digits is 45
- More coming soon!
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The information we have on file for 13116811968000 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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