13288816352000
13,288,816,352,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13288816352000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13288816352000 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 13288816352000:
28 × 53 × 7 × 23 × 41 × 53 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 23 × 41 × 53 × 1187)See below for interesting mathematical facts about the number 13288816352000 from the Numbermatics database.
Names of 13288816352000
- Cardinal: 13288816352000 can be written as Thirteen trillion, two hundred eighty-eight billion, eight hundred sixteen million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3288816352 × 1013
Factors of 13288816352000
Divisors of 13288816352000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 41 46 50 53 56 64 70 80 82 92 100 106 112 115 125 128 140 160 161 164 175 184 200 205 212 224 230 250 256 265 280 287 320 322 328 350 368 371 400 410 424 448 460 500 530 560 574 575 640 644 656 700 736 742 800 805 820 848 875 896 920 943 1000 1025 1060 1120 1148 1150 1187 1219 1280 1288 1312 1325 1400 1435 1472 1484 1600 1610 1640 1696 1750 1792 1840 1855 1886 2000 2050 2120 2173 2240 2296 2300 2374 2438 2576 2624 2650 2800 2870 2875 2944 2968 3200 3220 3280 3392 3500 3680 3710 3772 4000 4025 4100 4240 4346 4480 4592 4600 4715 4748 4876 5125 5152 5248 5300 5600 5740 5750 5888 5935 5936 6095 6400 6440 6560 6601 6625 6784 7000 7175 7360 7420 7544 8000 8050 8200 8309 8480 8533 8692 8960 9184 9200 9275 9430 9496 9752 10250 10304 10496 10600 10865 11200 11480 11500 11870 11872 12190 12880 13120 13202 13250 13568 14000 14350 14720 14840 15088 15211 16000 16100 16400 16618 16960 17066 17384 18368 18400 18550 18860 18992 19504 20125 20500 20608 21200 21730 22400 22960 23000 23575 23740 23744 24380 25760 26240 26404 26500 27301 28000 28700 29440 29675 29680 30176 30422 30475 32000 32200 32800 33005 33236 33920 34132 34768 35875 36736 36800 37100 37720 37984 39008 40250 41000 41216 41545 42400 42665 43460 44800 45920 46000 46375 47150 47480 47488 48667 48760 49979 51520 52480 52808 53000 54325 54602 56000 57400 59350 59360 60352 60844 60950 62911 64400 65600 66010 66472 67840 68264 69536 71750 73472 73600 74200 75440 75968 76055 78016 80500 82000 83090 84800 85330 86920 91840 92000 92750 94300 94960 94976 97334 97520 99958 103040 105616 106000 108650 109204 112000 114800 117875 118700 118720 120704 121688 121900 125822 128800 131200 132020 132944 136505 136528 139072 143500 147200 148375 148400 150880 151936 152110 152375 156032 161000 164000 165025 166180 169600 170660 173840 183680 184000 185500 188600 189920 191107 194668 195040 199916 206080 207725 211232 212000 213325 217300 218408 224000 229600 235750 237400 237440 241408 243335 243376 243800 249895 251644 257600 262400 264040 265888 271625 273010 273056 278144 287000 296750 296800 301760 303872 304220 304750 312064 314555 322000 328000 330050 332360 339200 340669 341320 347680 349853 367360 368000 371000 377200 379840 380275 382214 389336 390080 399832 415450 422464 424000 426650 434600 436816 440377 459200 471500 474800 474880 486670 486752 487600 499790 503288 515200 528080 531776 543250 546020 546112 556288 574000 593500 593600 603520 608440 609500 629110 644000 656000 660100 664720 681338 682525 682640 695360 699706 736000 742000 754400 759680 760550 764428 778672 780160 799664 825125 830900 844928 848000 853300 869200 873632 880754 918400 943000 949600 955535 973340 973504 975200 999580 1006576 1030400 1038625 1056160 1063552 1066625 1086500 1092040 1092224 1119341 1148000 1187000 1187200 1207040 1216675 1216880 1219000 1249475 1258220 1288000 1312000 1320200 1329440 1362676 1365050 1365280 1390720 1399412 1446953 1484000 1508800 1519360 1521100 1528856 1557344 1560320 1572775 1599328 1650250 1661800 1689856 1696000 1703345 1706600 1738400 1747264 1749265 1761508 1836800 1886000 1899200 1901375 1911070 1946680 1947008 1950400 1999160 2013152 2077250 2112320 2127104 2133250 2173000 2184080 2184448 2201885 2238682 2296000 2374000 2374400 2433350 2433760 2438000 2498950 2516440 2576000 2579351 2640400 2658880 2725352 2730100 2730560 2781440 2798824 2893906 2968000 3017600 3042200 3057712 3114688 3145550 3198656 3300500 3323600 3406690 3412625 3413200 3476800 3494528 3498530 3523016 3772000 3798400 3802750 3822140 3893360 3894016 3900800 3998320 4026304 4154500 4224640 4266500 4346000 4368160 4403770 4477364 4592000 4748000 4777675 4866700 4867520 4876000 4997900 5032880 5152000 5158702 5280800 5317760 5450704 5460200 5461120 5596705 5597648 5787812 5936000 6035200 6083375 6084400 6115424 6229376 6247375 6291100 6397312 6601000 6647200 6813380 6825250 6826400 6953600 6989056 6997060 7046032 7234765 7544000 7596800 7605500 7644280 7786720 7801600 7835387 7863875 7996640 8052608 8309000 8449280 8516725 8533000 8692000 8736320 8746325 8807540 8954728 9184000 9496000 9555350 9733400 9735040 9752000 9995800 10065760 10128671 10317404 10561600 10635520 10901408 10920400 10922240 11009425 11193410 11195296 11575624 11872000 12166750 12168800 12230848 12458752 12494750 12582200 12794624 12896755 13202000 13294400 13626760 13650500 13652800 13907200 13994120 14092064 14469530 15088000 15211000 15288560 15573440 15670774 15727750 15993280 16105216 16618000 17033450 17066000 17384000 17472640 17492650 17615080 17909456 18055457 18992000 19110700 19466800 19470080 19504000 19991600 20131520 20257342 20634808 21123200 21802816 21840800 22018850 22386820 22390592 23151248 23888375 24333500 24337600 24461696 24989500 25164400 25793510 26404000 26588800 27253520 27301000 27305600 27983525 27988240 28184128 28939060 30176000 30422000 30577120 31146880 31341548 31455500 31986560 33236000 34066900 34132000 34768000 34945280 34985300 35230160 35818912 36110914 36173825 37984000 38221400 38933600 39008000 39176935 39983200 40263040 40514684 41269616 42246400 42583625 43605632 43681600 43731625 44037700 44773640 44781184 46302496 47776750 48667000 48675200 48923392 49979000 50328800 50643355 51587020 52808000 53177600 54507040 54602000 54611200 55047125 55967050 55976480 56368256 57878120 59325073 60844000 61154240 62293760 62683096 62911000 63973120 64483775 66472000 68133800 68264000 69536000 69970600 70460320 71637824 72221828 72347650 76442800 77867200 78353870 79966400 80526080 81029368 82539232 85167250 87211264 87363200 87463250 88075400 89547280 89562368 90277285 92604992 95553500 97334000 97350400 99958000 100657600 101286710 103174040 105616000 109014080 109204000 110094250 111934100 111952960 112736512 115756240 118650146 121688000 122308480 125366192 125822000 128967550 132944000 136267600 136528000 139917625 139941200 140920640 143275648 144443656 144695300 152885600 155734400 156707740 159932800 162058736 165078464 170334500 174726400 174926500 176150800 179094560 180554570 180869125 185209984 191107000 194668000 195884675 199916000 201315200 202573420 206348080 211232000 218028160 218408000 220188500 223868200 223905920 231512480 237300292 243376000 244616960 250732384 251644000 253216775 257935100 265888000 272535200 273056000 279835250 279882400 281841280 286551296 288887312 289390600 296625365 305771200 311468800 313415480 319865600 322418875 324117472 330156928 340669000 349853000 352301600 358189120 361109140 361738250 370419968 382214000 389336000 391769350 399832000 402630400 405146840 412696160 415275511 436056320 436816000 440377000 447736400 447811840 451386425 463024960 474600584 486752000 501464768 503288000 506433550 515870200 545070400 559670500 559764800 563682560 577774624 578781200 593250730 611542400 626830960 644837750 648234944 660313856 681338000 699706000 704603200 716378240 722218280 723476500 764428000 778672000 783538700 799664000 810293680 825392320 830551022 873632000 880754000 895472800 902772850 926049920 949201168 979423375 1002929536 1006576000 1012867100 1031740400 1090140800 1119341000 1119529600 1155549248 1157562400 1186501460 1223084800 1253661920 1266083875 1289675500 1296469888 1362676000 1399412000 1409206400 1432756480 1444436560 1446953000 1483126825 1528856000 1557344000 1567077400 1599328000 1620587360 1650784640 1661102044 1761508000 1790945600 1805545700 1852099840 1898402336 1958846750 2005859072 2013152000 2025734200 2063480800 2076377555 2180281600 2238682000 2239059200 2256932125 2311098496 2315124800 2373002920 2507323840 2532167750 2579351000 2592939776 2725352000 2798824000 2818412800 2888873120 2893906000 2966253650 3057712000 3134154800 3241174720 3301569280 3322204088 3523016000 3581891200 3611091400 3796804672 3917693500 4051468400 4126961600 4152755110 4477364000 4513864250 4622196992 4630249600 4746005840 5014647680 5064335500 5158702000 5450704000 5597648000 5777746240 5787812000 5932507300 6115424000 6268309600 6482349440 6644408176 7046032000 7163782400 7222182800 7415634125 7593609344 7835387000 8102936800 8253923200 8305510220 8954728000 9027728500 9260499200 9492011680 10029295360 10128671000 10317404000 10381887775 10901408000 11195296000 11555492480 11575624000 11865014600 12536619200 12964698880 13288816352 14092064000 14444365600 14831268250 15187218688 15670774000 16205873600 16507846400 16611020440 17909456000 18055457000 18984023360 20257342000 20634808000 20763775550 23110984960 23151248000 23730029200 25073238400 26577632704 28888731200 29662536500 31341548000 32411747200 33222040880 35818912000 36110914000 37968046720 40514684000 41269616000 41527551100 46302496000 47460058400 50146476800 51909438875 53155265408 57777462400 59325073000 62683096000 64823494400 66444081760 72221828000 75936093440 81029368000 82539232000 83055102200 94920116800 103818877750 106310530816 115554924800 118650146000 125366192000 132888163520 144443656000 162058736000 166110204400 189840233600 207637755500 237300292000 250732384000 265776327040 288887312000 324117472000 332220408800 379680467200 415275511000 474600584000 531552654080 577774624000 664440817600 830551022000 949201168000 1328881635200 1661102044000 1898402336000 2657763270400 3322204088000 6644408176000 13288816352000
- Sum of all divisors σ(n): 41238818869248
- Sum of proper divisors (its aliquot sum) s(n): 27950002517248
- 13288816352000 is an abundant number, because the sum of its proper divisors (27950002517248) is greater than itself. Its abundance is 14661186165248
Bases of 13288816352000
- Binary: 110000010110000010110010110110011011000000002
- Hexadecimal: 0xC160B2D9B00
- Base-36: 4PKSQ5CZK
Squares and roots of 13288816352000
- 13288816352000 squared (132888163520002) is 176592640037182587904000000
- 13288816352000 cubed (132888163520003) is 2346707162568961862148352606208000000000
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The
square root of 13288816352000 is 3645382.8813994287 -
The
cube root of 13288816352000 is 23686.2022460491
Scales and comparisons
How big is 13288816352000?- 13,288,816,352,000 seconds is equal to 422,543 years, 13 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,288,816,352,000 would take you about one million, fifty-six thousand, three hundred fifty-eight 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 13288816352000 cubic inches would be around 1973.9 feet tall.
Recreational maths with 13288816352000
- 13288816352000 backwards is 00025361888231
- The number of decimal digits it has is: 14
- The sum of 13288816352000's digits is 47
- More coming soon!
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The information we have on file for 13288816352000 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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