13379146368000
13,379,146,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13379146368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
13379146368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13379146368000:
210 × 3 × 53 × 7 × 232 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 23 × 23 × 97 × 97)See below for interesting mathematical facts about the number 13379146368000 from the Numbermatics database.
Names of 13379146368000
- Cardinal: 13379146368000 can be written as Thirteen trillion, three hundred seventy-nine billion, one hundred forty-six million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3379146368 × 1013
Factors of 13379146368000
Divisors of 13379146368000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 97 100 105 112 115 120 125 128 138 140 150 160 161 168 175 184 192 194 200 210 224 230 240 250 256 276 280 291 300 320 322 336 345 350 368 375 384 388 400 420 448 460 480 483 485 500 512 525 529 552 560 575 582 600 640 644 672 679 690 700 736 750 768 776 800 805 840 875 896 920 960 966 970 1000 1024 1050 1058 1104 1120 1150 1164 1200 1280 1288 1344 1358 1380 1400 1455 1472 1500 1536 1552 1587 1600 1610 1680 1725 1750 1792 1840 1920 1932 1940 2000 2037 2100 2116 2208 2231 2240 2300 2328 2400 2415 2425 2560 2576 2625 2645 2688 2716 2760 2800 2875 2910 2944 3000 3072 3104 3174 3200 3220 3360 3395 3450 3500 3584 3680 3703 3840 3864 3880 4000 4025 4074 4200 4232 4416 4462 4480 4600 4656 4800 4830 4850 5120 5152 5250 5290 5376 5432 5520 5600 5750 5820 5888 6000 6208 6348 6400 6440 6693 6720 6790 6900 7000 7168 7275 7360 7406 7680 7728 7760 7935 8000 8050 8148 8400 8464 8625 8832 8924 8960 9200 9312 9409 9600 9660 9700 10185 10304 10500 10580 10752 10864 11040 11109 11155 11200 11500 11640 11776 12000 12075 12125 12416 12696 12800 12880 13225 13386 13440 13580 13800 14000 14550 14720 14812 15360 15456 15520 15617 15870 16000 16100 16296 16800 16928 16975 17250 17664 17848 17920 18400 18515 18624 18818 19200 19320 19400 20125 20370 20608 21000 21160 21504 21728 22080 22218 22310 22400 23000 23280 23552 24000 24150 24250 24832 25392 25600 25760 26450 26772 26880 27160 27600 28000 28227 29100 29440 29624 30912 31040 31234 31740 32000 32200 32592 33465 33600 33856 33950 34500 35328 35696 35840 36375 36800 37030 37248 37636 38400 38640 38800 39675 40250 40740 41216 42000 42320 43456 44160 44436 44620 44800 46000 46560 46851 47045 48000 48300 48500 49664 50784 50925 51313 51520 52900 53544 53760 54320 55200 55545 55775 56000 56454 58200 58880 59248 60375 61824 62080 62468 63480 64000 64400 65184 65863 66125 66930 67200 67712 67900 69000 70656 71392 72750 73600 74060 74496 75272 76800 77280 77600 78085 79350 80500 81480 82432 84000 84640 84875 86912 88320 88872 89240 89600 92000 92575 93120 93702 94090 96000 96600 97000 99328 101568 101850 102626 103040 105800 107088 107520 108640 110400 111090 111550 112000 112908 116400 117760 118496 120750 123648 124160 124936 126960 128000 128800 130368 131726 132250 133860 134400 135424 135800 138000 141135 142784 145500 147200 148120 148992 150544 153939 154560 155200 156170 158700 161000 162960 164864 167325 168000 169280 169750 173824 176640 177744 178480 179200 184000 185150 186240 187404 188180 192000 193200 194000 197589 198375 203136 203700 205252 206080 211600 214176 216407 217280 220800 222180 223100 224000 225816 232800 234255 235225 236992 241500 247296 248320 249872 253920 254625 256565 257600 260736 263452 264500 267720 268800 270848 271600 276000 277725 278875 282270 285568 291000 294400 296240 297984 301088 307878 309120 310400 312340 317400 322000 325920 329315 334650 336000 338560 339500 347648 353280 355488 356960 359191 368000 370300 372480 374808 376360 384000 386400 388000 390425 395178 396750 406272 407400 410504 412160 423200 428352 432814 434560 441600 444360 446200 448000 451632 462875 465600 468510 470450 473984 483000 494592 496640 499744 507840 509250 513130 515200 521472 526904 529000 535440 537600 541696 543200 552000 555450 557750 564540 571136 582000 588800 592480 602176 615756 618240 620800 624680 634800 644000 649221 651840 658630 669300 672000 677120 679000 695296 705675 710976 713920 718382 736000 740600 744960 749616 752720 769695 772800 776000 780850 790356 793500 812544 814800 821008 824320 836625 846400 856704 865628 869120 883200 888720 892400 896000 903264 925750 931200 937020 940900 947968 966000 987945 999488 1015680 1018500 1026260 1030400 1042944 1053808 1058000 1070880 1077573 1082035 1086400 1104000 1110900 1115500 1129080 1142272 1164000 1171275 1176125 1184960 1204352 1231512 1236480 1241600 1249360 1269600 1282825 1288000 1298442 1303680 1317260 1338600 1344000 1354240 1358000 1388625 1411350 1421952 1427840 1436764 1472000 1481200 1489920 1499232 1505440 1514849 1539390 1545600 1552000 1561700 1580712 1587000 1625088 1629600 1642016 1646575 1673250 1692800 1713408 1731256 1738240 1766400 1777440 1784800 1795955 1806528 1851500 1862400 1874040 1881800 1895936 1932000 1952125 1975890 1998976 2031360 2037000 2052520 2060800 2085888 2107616 2116000 2141760 2155146 2164070 2172800 2208000 2221800 2231000 2258160 2284544 2328000 2342550 2352250 2369920 2408704 2463024 2472960 2483200 2498720 2539200 2565650 2576000 2596884 2607360 2634520 2677200 2688000 2708480 2716000 2777250 2822700 2843904 2855680 2873528 2944000 2962400 2998464 3010880 3029698 3078780 3091200 3104000 3123400 3161424 3174000 3246105 3259200 3284032 3293150 3346500 3385600 3426816 3462512 3476480 3528375 3554880 3569600 3591910 3613056 3703000 3724800 3748080 3763600 3791872 3848475 3864000 3904250 3951780 3997952 4062720 4074000 4105040 4121600 4215232 4232000 4283520 4310292 4328140 4345600 4416000 4443600 4462000 4516320 4544547 4656000 4685100 4704500 4739840 4817408 4926048 4939725 4977361 4997440 5078400 5131300 5152000 5193768 5214720 5269040 5354400 5387865 5410175 5432000 5554500 5645400 5687808 5711360 5747056 5856375 5924800 5996928 6021760 6059396 6157560 6182400 6208000 6246800 6322848 6348000 6414125 6492210 6518400 6568064 6586300 6693000 6771200 6853632 6925024 7056750 7109760 7139200 7183820 7226112 7406000 7449600 7496160 7527200 7574245 7696950 7728000 7808500 7903560 7995904 8125440 8148000 8210080 8232875 8430464 8464000 8567040 8620584 8656280 8691200 8832000 8887200 8924000 8979775 9032640 9089094 9312000 9370200 9409000 9479680 9634816 9852096 9879450 9954722 9994880 10156800 10262600 10304000 10387536 10429440 10538080 10708800 10775730 10820350 10864000 11109000 11290800 11375616 11422720 11494112 11712750 11849600 11993856 12043520 12118792 12315120 12364800 12416000 12493600 12645696 12696000 12828250 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37871225 38484750 39408384 39517800 39818888 39979520 40627200 41050400 41550144 42152320 42835200 43102920 43281400 43456000 44436000 44898875 45163200 45445470 45976448 46851000 47398400 47975424 48174080 48475168 49260480 49397250 49773610 49974400 50582784 50784000 51313000 51937680 52147200 52544512 52690400 53544000 53878650 54101750 55400192 56454000 56878080 57113600 57470560 59248000 59728332 59969280 60217600 60593960 61575600 61824000 62468000 63228480 64922100 65184000 65680640 65863000 67443712 67712000 68964672 69250240 69683054 71097600 71392000 71838200 72261120 72712752 74660415 74961600 75272000 75742450 76969500 78816768 79035600 79637776 79959040 81152625 82100800 83100288 84304640 85670400 86205840 86562800 86912000 88872000 89797750 90326400 90890940 91952896 93702000 94796800 96950336 98520960 98794500 99547220 99948800 101165568 101568000 102626000 103875360 104524581 105380800 107088000 107757300 108203500 110800384 112908000 113613675 114941120 118496000 119456664 119938560 120435200 121187920 123151200 124434025 124936000 126456960 129844200 130368000 131361280 131726000 134696625 137929344 138500480 139366108 142195200 142784000 143676400 144522240 145425504 149320830 149923200 150544000 151484900 153939000 157633536 158071200 159275552 162305250 164201600 166200576 168609280 171340800 172411680 173125600 174207635 177744000 179595500 180652800 181781880 183905792 187404000 189356125 193900672 197041920 197589000 199094440 199897600 202331136 203136000 205252000 207750720 209049162 210761600 214176000 215514600 216407000 221600768 225816000 227227350 229882240 236992000 238913328 239877120 240870400 242375840 246302400 248868050 249872000 252913920 259688400 260736000 262722560 263452000 269393250 275858688 277000960 278732216 284390400 285568000 287352800 290851008 298641660 299846400 301088000 302969800 307878000 316142400 318551104 324610500 328403200 332401152 337218560 344823360 346251200 348415270 355488000 359191000 361305600 363563760 367811584 373302075 374808000 378712250 387801344 394083840 395178000 398188880 399795200 410504000 415501440 418098324 421523200 428352000 431029200 432814000 451632000 454454700 459764480 473984000 477826656 484751680 492604800 497736100 499744000 505827840 519376800 522622905 526904000 538786500 551717376 554001920 557464432 568068375 574705600 581702016 597283320 599692800 602176000 605939600 615756000 622170125 632284800 637102208 649221000 656806400 664802304 689646720 692502400 696830540 710976000 718382000 722611200 727127520 746604150 749616000 757424500 775602688 788167680 790356000 796377760 821008000 831002880 836196648 843046400 856704000 862058400 865628000 871038175 903264000 908909400 919528960 955653312 969503360 985209600 995472200 999488000 1011655680 1038753600 1045245810 1053808000 1077573000 1103434752 1108003840 1114928864 1136136750 1149411200 1163404032 1194566640 1199385600 1204352000 1211879200 1231512000 1244340250 1264569600 1274204416 1298442000 1313612800 1379293440 1385004800 1393661080 1421952000 1436764000 1454255040 1493208300 1499232000 1514849000 1551205376 1580712000 1592755520 1642016000 1662005760 1672393296 1686092800 1724116800 1731256000 1742076350 1806528000 1817818800 1839057920 1866510375 1911306624 1939006720 1970419200 1990944400 1998976000 2077507200 2090491620 2107616000 2155146000 2229857728 2272273500 2298822400 2326808064 2389133280 2423758400 2463024000 2488680500 2529139200 2548408832 2596884000 2613114525 2758586880 2770009600 2787322160 2873528000 2908510080 2986416600 2998464000 3029698000 3161424000 3185511040 3284032000 3324011520 3344786592 3448233600 3462512000 3484152700 3613056000 3635637600 3733020750 3822613248 3878013440 3940838400 3981888800 4155014400 4180983240 4215232000 4310292000 4355190875 4459715456 4544547000 4597644800 4653616128 4778266560 4847516800 4926048000 4977361000 5058278400 5096817664 5193768000 5226229050 5517173760 5540019200 5574644320 5747056000 5817020160 5972833200 5996928000 6059396000 6322848000 6371022080 6568064000 6689573184 6896467200 6925024000 6968305400 7271275200 7466041500 7645226496 7756026880 7963777600 8310028800 8361966480 8430464000 8620584000 8710381750 8919430912 9089094000 9195289600 9556533120 9695033600 9852096000 9954722000 10387536000 10452458100 11149288640 11494112000 11634040320 11945666400 12118792000 12645696000 12742044160 13065572625 13379146368 13792934400 13850048000 13936610800 14542550400 14932083000 15290452992 15927555200 16620057600 16723932960 17241168000 17420763500 17838861824 18178188000 19113066240 19390067200 19704192000 19909444000 20775072000 20904916200 22298577280 22988224000 23268080640 23891332800 24237584000 25291392000 25484088320 26131145250 26758292736 27585868800 27700096000 27873221600 29085100800 29864166000 31855110400 33447865920 34482336000 34841527000 35677723648 36356376000 38226132480 38780134400 39818888000 41550144000 41809832400 44597154560 45976448000 47782665600 48475168000 52262290500 53516585472 55746443200 58170201600 59728332000 63710220800 66895731840 68964672000 69683054000 72712752000 76452264960 79637776000 83100288000 83619664800 89194309120 95565331200 96950336000 104524581000 107033170944 111492886400 116340403200 119456664000 127420441600 133791463680 137929344000 139366108000 145425504000 159275552000 167239329600 178388618240 191130662400 193900672000 209049162000 222985772800 238913328000 267582927360 278732216000 290851008000 318551104000 334478659200 382261324800 418098324000 445971545600 477826656000 535165854720 557464432000 581702016000 637102208000 668957318400 836196648000 891943091200 955653312000 1114928864000 1337914636800 1672393296000 1911306624000 2229857728000 2675829273600 3344786592000 4459715456000 6689573184000 13379146368000
- Sum of all divisors σ(n): 53723097477504
- Sum of proper divisors (its aliquot sum) s(n): 40343951109504
- 13379146368000 is an abundant number, because the sum of its proper divisors (40343951109504) is greater than itself. Its abundance is 26964804741504
Bases of 13379146368000
- Binary: 110000101011000100110100010001000100000000002
- Hexadecimal: 0xC2B13444400
- Base-36: 4QQAMB3EO
Squares and roots of 13379146368000
- 13379146368000 squared (133791463680002) is 179001557536367591424000000
- 13379146368000 cubed (133791463680003) is 2394888038379035488713317548032000000000
-
The
square root of 13379146368000 is 3657751.5454169383 -
The
cube root of 13379146368000 is 23739.7496630141
Scales and comparisons
How big is 13379146368000?- 13,379,146,368,000 seconds is equal to 425,415 years, 24 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 13,379,146,368,000 would take you about one million, sixty-three thousand, five hundred thirty-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 13379146368000 cubic inches would be around 1978.3 feet tall.
Recreational maths with 13379146368000
- 13379146368000 backwards is 00086364197331
- The number of decimal digits it has is: 14
- The sum of 13379146368000's digits is 51
- More coming soon!
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The information we have on file for 13379146368000 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!
Keywords: Divisors of 13379146368000, math, Factors of 13379146368000, curriculum, school, college, exams, university, Prime factorization of 13379146368000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, three hundred seventy-nine billion, one hundred forty-six million, three hundred sixty-eight thousand.