14316144128000
14,316,144,128,000 is an even composite number composed of five prime numbers multiplied together.
14316144128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and forty divisors.
Prime factorization of 14316144128000:
212 × 53 × 11 × 134 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 89)See below for interesting mathematical facts about the number 14316144128000 from the Numbermatics database.
Names of 14316144128000
- Cardinal: 14316144128000 can be written as Fourteen trillion, three hundred sixteen billion, one hundred forty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.4316144128 × 1013
Factors of 14316144128000
Divisors of 14316144128000
- Number of divisors d(n): 1040
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 89 100 104 110 125 128 130 143 160 169 176 178 200 208 220 250 256 260 275 286 320 325 338 352 356 400 416 440 445 500 512 520 550 572 640 650 676 704 712 715 800 832 845 880 890 979 1000 1024 1040 1100 1144 1157 1280 1300 1352 1375 1408 1424 1430 1600 1625 1664 1690 1760 1780 1859 1958 2000 2048 2080 2197 2200 2225 2288 2314 2560 2600 2704 2750 2816 2848 2860 3200 3250 3328 3380 3520 3560 3575 3718 3916 4000 4096 4160 4225 4394 4400 4450 4576 4628 4895 5120 5200 5408 5500 5632 5696 5720 5785 6400 6500 6656 6760 7040 7120 7150 7436 7832 8000 8320 8450 8788 8800 8900 9152 9256 9295 9790 10240 10400 10816 10985 11000 11125 11264 11392 11440 11570 12727 12800 13000 13312 13520 14080 14240 14300 14872 15041 15664 16000 16640 16900 17576 17600 17800 17875 18304 18512 18590 19580 20480 20800 21125 21632 21970 22000 22250 22528 22784 22880 23140 24167 24475 25454 25600 26000 26624 27040 28160 28480 28561 28600 28925 29744 30082 31328 32000 33280 33800 35152 35200 35600 35750 36608 37024 37180 39160 41600 42250 43264 43940 44000 44500 45056 45568 45760 46280 46475 48334 48950 50908 51200 52000 53248 54080 54925 56320 56960 57122 57200 57850 59488 60164 62656 63635 64000 66560 67600 70304 70400 71200 71500 73216 74048 74360 75205 78320 83200 84500 86528 87880 88000 89000 91136 91520 92560 92950 96668 97900 101816 102400 104000 108160 109850 112640 113920 114244 114400 115700 118976 120328 120835 122375 125312 127270 128000 133120 135200 140608 140800 142400 142805 143000 144625 146432 148096 148720 150410 156640 165451 166400 169000 173056 175760 176000 178000 182272 183040 185120 185900 193336 195533 195800 203632 208000 216320 219700 225280 227840 228488 228800 231400 232375 237952 240656 241670 244750 250624 254540 256000 266240 270400 274625 281216 281600 284800 285610 286000 289250 292864 296192 297440 300820 313280 314171 318175 330902 332800 338000 346112 351520 352000 356000 364544 366080 370240 371800 376025 386672 391066 391600 407264 416000 432640 439400 455680 456976 457600 462800 464750 475904 481312 483340 489500 501248 509080 512000 540800 549250 562432 563200 569600 571220 572000 578500 585728 592384 594880 601640 604175 626560 628342 636350 661804 665600 676000 692224 703040 704000 712000 714025 732160 740480 743600 752050 773344 782132 783200 814528 827255 832000 865280 878800 911360 913952 915200 925600 929500 951808 962624 966680 977665 979000 1002496 1018160 1081600 1098500 1124864 1126400 1139200 1142440 1144000 1157000 1184768 1189760 1203280 1208350 1253120 1256684 1272700 1323608 1331200 1352000 1406080 1408000 1424000 1428050 1464320 1480960 1487200 1504100 1546688 1564264 1566400 1570855 1590875 1629056 1654510 1664000 1730560 1757600 1822720 1827904 1830400 1851200 1859000 1880125 1903616 1925248 1933360 1955330 1958000 2004992 2036320 2150863 2163200 2197000 2249728 2278400 2284880 2288000 2314000 2369536 2379520 2406560 2416700 2506240 2513368 2541929 2545400 2647216 2704000 2812160 2816000 2848000 2856100 2928640 2961920 2974400 3008200 3020875 3093376 3128528 3132800 3141710 3181750 3258112 3309020 3328000 3461120 3515200 3570125 3655808 3660800 3702400 3718000 3760250 3807232 3850496 3866720 3910660 3916000 4009984 4072640 4136275 4301726 4326400 4394000 4499456 4556800 4569760 4576000 4628000 4739072 4759040 4813120 4833400 4888325 5012480 5026736 5083858 5090800 5294432 5408000 5624320 5632000 5696000 5712200 5923840 5948800 6016400 6041750 6186752 6257056 6265600 6283420 6363500 6516224 6618040 6656000 7030400 7140250 7311616 7321600 7404800 7436000 7520500 7614464 7700992 7733440 7821320 7832000 7854275 8145280 8272550 8603452 8652800 8788000 8998912 9113600 9139520 9152000 9256000 9518080 9626240 9666800 9776650 10024960 10053472 10167716 10181600 10588864 10754315 10816000 11248640 11392000 11424400 11847680 11897600 12032800 12083500 12373504 12514112 12531200 12566840 12709645 12727000 13032448 13236080 14060800 14280500 14623232 14643200 14809600 14872000 15041000 15401984 15466880 15642640 15664000 15708550 16290560 16545100 17206904 17305600 17576000 18279040 18304000 18512000 19036160 19252480 19333600 19553300 20049920 20106944 20335432 20363200 20681375 21177728 21508630 21632000 22497280 22784000 22848800 23695360 23795200 24065600 24167000 24441625 24747008 25028224 25062400 25133680 25419290 25454000 26064896 26472160 27961219 28121600 28561000 29246464 29619200 29744000 30082000 30803968 30933760 31285280 31328000 31417100 32581120 33090200 34413808 35152000 36558080 36608000 37024000 38072320 38504960 38667200 39106600 39271375 40213888 40670864 40726400 41362750 42355456 43017260 43264000 44994560 45568000 45697600 47590400 48131200 48334000 48883250 49494016 50056448 50124800 50267360 50838580 50908000 52129792 52944320 53771575 55922438 56243200 57122000 58492928 59238400 59488000 60164000 61607936 61867520 62570560 62656000 62834200 63548225 65162240 66180400 68827616 70304000 73116160 73216000 74048000 77009920 77334400 78213200 78542750 80427776 81341728 81452800 82725500 84710912 86034520 86528000 91395200 95180800 96262400 96668000 97766500 98988032 100112896 100249600 100534720 101677160 101816000 105888640 107543150 111844876 112486400 114244000 116985856 118476800 118976000 120328000 123735040 125141120 125312000 125668400 127096450 130324480 132360800 137655232 139806095 140608000 146232320 148096000 154019840 154668800 156426400 157085500 160855552 162683456 162905600 165451000 169421824 172069040 182790400 190361600 192524800 193336000 195533000 200225792 201069440 203354320 203632000 211777280 215086300 223689752 224972800 228488000 237952000 240656000 247470080 250282240 250624000 251336800 254192900 260648960 264721600 268857875 275310464 279612190 281216000 292464640 296192000 308039680 309337600 312852800 314171000 317741125 321711104 325366912 325811200 330902000 338843648 344138080 365580800 385049600 386672000 391066000 400451584 402138880 406708640 407264000 423554560 430172600 447379504 456976000 475904000 481312000 494940160 500564480 501248000 502673600 508385800 529443200 537715750 550620928 559224380 562432000 584929280 592384000 618675200 625705600 628342000 635482250 643422208 650733824 651622400 661804000 677687296 688276160 699030475 731161600 770099200 773344000 782132000 800903168 804277760 813417280 814528000 847109120 860345200 894759008 913952000 951808000 962624000 1001128960 1005347200 1016771600 1058886400 1075431500 1101241856 1118448760 1124864000 1237350400 1251411200 1256684000 1270964500 1286844416 1301467648 1303244800 1323608000 1376552320 1398060950 1462323200 1540198400 1546688000 1564264000 1608555520 1626834560 1629056000 1694218240 1720690400 1789518016 1827904000 1925248000 2002257920 2010694400 2033543200 2117772800 2150863000 2202483712 2236897520 2474700800 2502822400 2513368000 2541929000 2602935296 2647216000 2753104640 2796121900 2924646400 3093376000 3128528000 3217111040 3253669120 3258112000 3388436480 3441380800 3495152375 3579036032 3655808000 3850496000 4004515840 4021388800 4067086400 4235545600 4301726000 4404967424 4473795040 5005644800 5026736000 5083858000 5205870592 5294432000 5506209280 5592243800 6186752000 6257056000 6434222080 6507338240 6516224000 6882761600 6990304750 7158072064 7311616000 7700992000 8042777600 8134172800 8471091200 8603452000 8809934848 8947590080 10011289600 10053472000 10167716000 10411741184 10588864000 11012418560 11184487600 12373504000 12514112000 13014676480 13765523200 13980609500 14316144128 14623232000 16085555200 16268345600 16942182400 17206904000 17895180160 20022579200 20106944000 20335432000 21177728000 22024837120 22368975200 25028224000 26029352960 27531046400 27961219000 28632288256 32171110400 32536691200 34413808000 35790360320 40213888000 40670864000 42355456000 44049674240 44737950400 50056448000 52058705920 55062092800 55922438000 57264576512 65073382400 68827616000 71580720640 80427776000 81341728000 84710912000 89475900800 100112896000 110124185600 111844876000 114529153024 130146764800 137655232000 143161441280 160855552000 162683456000 178951801600 220248371200 223689752000 260293529600 275310464000 286322882560 325366912000 357903603200 447379504000 550620928000 572645765120 650733824000 715807206400 894759008000 1101241856000 1301467648000 1431614412800 1789518016000 2863228825600 3579036032000 7158072064000 14316144128000
- Sum of all divisors σ(n): 42699188918880
- Sum of proper divisors (its aliquot sum) s(n): 28383044790880
- 14316144128000 is an abundant number, because the sum of its proper divisors (28383044790880) is greater than itself. Its abundance is 14066900662880
Bases of 14316144128000
- Binary: 110100000101001111001010111101110000000000002
- Hexadecimal: 0xD053CAF7000
- Base-36: 52OQUKY68
Squares and roots of 14316144128000
- 14316144128000 squared (143161441280002) is 204951982693668880384000000
- 14316144128000 cubed (143161441280003) is 2934122123561925364685735985152000000000
-
The
square root of 14316144128000 is 3783668.0784656573 -
The
cube root of 14316144128000 is 24281.4911686279
Scales and comparisons
How big is 14316144128000?- 14,316,144,128,000 seconds is equal to 455,209 years, 5 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 14,316,144,128,000 would take you about one million, one hundred thirty-eight thousand and 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 14316144128000 cubic inches would be around 2023.5 feet tall.
Recreational maths with 14316144128000
- 14316144128000 backwards is 00082144161341
- The number of decimal digits it has is: 14
- The sum of 14316144128000's digits is 35
- More coming soon!
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