31964135424000
31,964,135,424,000 is an even composite number composed of five prime numbers multiplied together.
31964135424000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 31964135424000:
220 × 3 × 53 × 133 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 37)See below for interesting mathematical facts about the number 31964135424000 from the Numbermatics database.
Names of 31964135424000
- Cardinal: 31964135424000 can be written as Thirty-one trillion, nine hundred sixty-four billion, one hundred thirty-five million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 3.1964135424 × 1013
Factors of 31964135424000
Divisors of 31964135424000
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 125 128 130 148 150 156 160 169 185 192 195 200 208 222 240 250 256 260 296 300 312 320 325 338 370 375 384 390 400 416 444 480 481 500 507 512 520 555 592 600 624 640 650 676 740 750 768 780 800 832 845 888 925 960 962 975 1000 1014 1024 1040 1110 1184 1200 1248 1280 1300 1352 1443 1480 1500 1536 1560 1600 1625 1664 1690 1776 1850 1920 1924 1950 2000 2028 2048 2080 2197 2220 2368 2400 2405 2496 2535 2560 2600 2704 2775 2886 2960 3000 3072 3120 3200 3250 3328 3380 3552 3700 3840 3848 3900 4000 4056 4096 4160 4225 4394 4440 4625 4736 4800 4810 4875 4992 5070 5120 5200 5408 5550 5772 5920 6000 6144 6240 6253 6400 6500 6591 6656 6760 7104 7215 7400 7680 7696 7800 8000 8112 8192 8320 8450 8788 8880 9250 9472 9600 9620 9750 9984 10140 10240 10400 10816 10985 11100 11544 11840 12000 12025 12288 12480 12506 12675 12800 13000 13182 13312 13520 13875 14208 14430 14800 15360 15392 15600 16000 16224 16384 16640 16900 17576 17760 18500 18759 18944 19200 19240 19500 19968 20280 20480 20800 21125 21632 21970 22200 23088 23680 24000 24050 24576 24960 25012 25350 25600 26000 26364 26624 27040 27750 28416 28860 29600 30720 30784 31200 31265 32000 32448 32768 32955 33280 33800 35152 35520 36075 37000 37518 37888 38400 38480 39000 39936 40560 40960 41600 42250 43264 43940 44400 46176 47360 48000 48100 49152 49920 50024 50700 51200 52000 52728 53248 54080 54925 55500 56832 57720 59200 60125 61440 61568 62400 62530 63375 64000 64896 65536 65910 66560 67600 70304 71040 72150 74000 75036 75776 76800 76960 78000 79872 81120 81289 81920 83200 84500 86528 87880 88800 92352 93795 94720 96000 96200 98304 99840 100048 101400 102400 104000 105456 106496 108160 109850 111000 113664 115440 118400 120250 122880 123136 124800 125060 126750 128000 129792 131072 131820 133120 135200 140608 142080 144300 148000 150072 151552 153600 153920 156000 156325 159744 162240 162578 163840 164775 166400 169000 173056 175760 177600 180375 184704 187590 189440 192000 192400 196608 199680 200096 202800 204800 208000 210912 212992 216320 219700 222000 227328 230880 236800 240500 243867 245760 246272 249600 250120 253500 256000 259584 262144 263640 266240 270400 274625 281216 284160 288600 296000 300144 303104 307200 307840 312000 312650 319488 324480 325156 327680 329550 332800 338000 346112 351520 355200 360750 369408 375180 378880 384000 384800 393216 399360 400192 405600 406445 409600 416000 421824 425984 432640 439400 444000 454656 461760 468975 473600 481000 487734 491520 492544 499200 500240 507000 512000 519168 524288 527280 532480 540800 549250 562432 568320 577200 592000 600288 606208 614400 615680 624000 625300 638976 648960 650312 655360 659100 665600 676000 692224 703040 710400 721500 738816 750360 757760 768000 769600 781625 786432 798720 800384 811200 812890 819200 823875 832000 843648 851968 865280 878800 888000 909312 923520 937950 947200 962000 975468 983040 985088 998400 1000480 1014000 1024000 1038336 1048576 1054560 1064960 1081600 1098500 1124864 1136640 1154400 1184000 1200576 1212416 1219335 1228800 1231360 1248000 1250600 1277952 1297920 1300624 1310720 1318200 1331200 1352000 1384448 1406080 1420800 1443000 1477632 1500720 1515520 1536000 1539200 1563250 1572864 1597440 1600768 1622400 1625780 1638400 1647750 1664000 1687296 1703936 1730560 1757600 1776000 1818624 1847040 1875900 1894400 1924000 1950936 1966080 1970176 1996800 2000960 2028000 2032225 2048000 2076672 2109120 2129920 2163200 2197000 2249728 2273280 2308800 2344875 2368000 2401152 2424832 2438670 2457600 2462720 2496000 2501200 2555904 2595840 2601248 2621440 2636400 2662400 2704000 2768896 2812160 2841600 2886000 2955264 3001440 3031040 3072000 3078400 3126500 3145728 3194880 3201536 3244800 3251560 3276800 3295500 3328000 3374592 3407872 3461120 3515200 3552000 3637248 3694080 3751800 3788800 3848000 3901872 3932160 3940352 3993600 4001920 4056000 4064450 4096000 4153344 4218240 4259840 4326400 4394000 4499456 4546560 4617600 4689750 4736000 4802304 4849664 4877340 4915200 4925440 4992000 5002400 5111808 5191680 5202496 5242880 5272800 5324800 5408000 5537792 5624320 5683200 5772000 5910528 6002880 6062080 6096675 6144000 6156800 6253000 6389760 6403072 6489600 6503120 6553600 6591000 6656000 6749184 6815744 6922240 7030400 7104000 7274496 7388160 7503600 7577600 7696000 7803744 7864320 7880704 7987200 8003840 8112000 8128900 8192000 8306688 8436480 8519680 8652800 8788000 8998912 9093120 9235200 9379500 9472000 9604608 9699328 9754680 9830400 9850880 9984000 10004800 10161125 10223616 10383360 10404992 10545600 10649600 10816000 11075584 11248640 11366400 11544000 11821056 12005760 12124160 12193350 12288000 12313600 12506000 12779520 12806144 12979200 13006240 13107200 13182000 13312000 13498368 13631488 13844480 14060800 14208000 14548992 14776320 15007200 15155200 15392000 15607488 15728640 15761408 15974400 16007680 16224000 16257800 16384000 16613376 16872960 17039360 17305600 17576000 17997824 18186240 18470400 18759000 18944000 19209216 19398656 19509360 19660800 19701760 19968000 20009600 20322250 20447232 20766720 20809984 21091200 21299200 21632000 22151168 22497280 22732800 23088000 23642112 24011520 24248320 24386700 24576000 24627200 25012000 25559040 25612288 25958400 26012480 26214400 26364000 26624000 26996736 27688960 28121600 28416000 29097984 29552640 30014400 30310400 30483375 30784000 31214976 31522816 31948800 32015360 32448000 32515600 32768000 33226752 33745920 34078720 34611200 35152000 35995648 36372480 36940800 37518000 37888000 38418432 38797312 39018720 39321600 39403520 39936000 40019200 40644500 40894464 41533440 41619968 42182400 42598400 43264000 44302336 44994560 45465600 46176000 47284224 48023040 48496640 48773400 49152000 49254400 50024000 51118080 51224576 51916800 52024960 52728000 53248000 53993472 55377920 56243200 56832000 58195968 59105280 60028800 60620800 60966750 61568000 62429952 63045632 63897600 64030720 64896000 65031200 65536000 66453504 67491840 68157440 69222400 70304000 71991296 72744960 73881600 75036000 75776000 76836864 78037440 78643200 78807040 79872000 80038400 81289000 83066880 83239936 84364800 85196800 86528000 88604672 89989120 90931200 92352000 94568448 96046080 96993280 97546800 98304000 98508800 100048000 102236160 102449152 103833600 104049920 105456000 106496000 107986944 110755840 112486400 113664000 116391936 118210560 120057600 121241600 121933500 123136000 124859904 126091264 127795200 128061440 129792000 130062400 131072000 132907008 134983680 138444800 140608000 143982592 145489920 147763200 150072000 151552000 153673728 156074880 157614080 159744000 160076800 162578000 166133760 166479872 168729600 170393600 173056000 177209344 179978240 181862400 184704000 189136896 192092160 193986560 195093600 196608000 197017600 200096000 204472320 204898304 207667200 208099840 210912000 212992000 215973888 221511680 224972800 227328000 236421120 240115200 242483200 243867000 246272000 249719808 252182528 255590400 256122880 259584000 260124800 265814016 269967360 276889600 281216000 287965184 290979840 295526400 300144000 303104000 307347456 312149760 315228160 319488000 320153600 325156000 332267520 332959744 337459200 340787200 346112000 359956480 363724800 369408000 378273792 384184320 390187200 393216000 394035200 400192000 409796608 415334400 416199680 421824000 425984000 431947776 443023360 449945600 454656000 472842240 480230400 484966400 487734000 492544000 499439616 504365056 511180800 512245760 519168000 520249600 531628032 539934720 553779200 562432000 575930368 581959680 591052800 600288000 606208000 614694912 624299520 630456320 638976000 640307200 650312000 664535040 665919488 674918400 692224000 719912960 727449600 738816000 756547584 768368640 780374400 788070400 800384000 819593216 830668800 832399360 843648000 851968000 863895552 886046720 899891200 909312000 945684480 960460800 969932800 975468000 985088000 998879232 1022361600 1024491520 1038336000 1040499200 1079869440 1107558400 1124864000 1151860736 1182105600 1200576000 1212416000 1229389824 1248599040 1260912640 1277952000 1280614400 1300624000 1329070080 1331838976 1349836800 1384448000 1439825920 1454899200 1477632000 1513095168 1536737280 1560748800 1576140800 1600768000 1639186432 1661337600 1664798720 1687296000 1703936000 1727791104 1799782400 1818624000 1891368960 1920921600 1950936000 1970176000 1997758464 2048983040 2076672000 2080998400 2159738880 2215116800 2249728000 2303721472 2364211200 2401152000 2424832000 2458779648 2497198080 2521825280 2555904000 2561228800 2601248000 2658140160 2663677952 2699673600 2768896000 2879651840 2909798400 2955264000 3073474560 3121497600 3152281600 3201536000 3278372864 3322675200 3329597440 3374592000 3455582208 3599564800 3637248000 3782737920 3841843200 3901872000 3940352000 3995516928 4097966080 4153344000 4161996800 4319477760 4430233600 4499456000 4728422400 4802304000 4849664000 4917559296 4994396160 5111808000 5122457600 5202496000 5327355904 5399347200 5537792000 5759303680 5910528000 6146949120 6242995200 6304563200 6403072000 6556745728 6645350400 6659194880 6749184000 6911164416 7199129600 7274496000 7565475840 7683686400 7803744000 7880704000 7991033856 8195932160 8306688000 8323993600 8638955520 8998912000 9456844800 9604608000 9835118592 9988792320 10244915200 10404992000 10654711808 10798694400 11075584000 11518607360 11821056000 12293898240 12485990400 12609126400 12806144000 13290700800 13318389760 13498368000 14398259200 14548992000 15367372800 15607488000 15761408000 15982067712 16391864320 16613376000 16647987200 17277911040 17997824000 18913689600 19209216000 19670237184 19977584640 20489830400 20809984000 21309423616 21597388800 22151168000 23642112000 24587796480 24971980800 25612288000 26636779520 26996736000 28796518400 30734745600 31214976000 31522816000 31964135424 32783728640 33226752000 33295974400 34555822080 35995648000 37827379200 38418432000 39955169280 40979660800 41619968000 42618847232 43194777600 47284224000 49175592960 49943961600 51224576000 53273559040 53993472000 57593036800 61469491200 62429952000 63045632000 63928270848 66453504000 66591948800 71991296000 76836864000 79910338560 81959321600 83239936000 85237694464 86389555200 94568448000 98351185920 99887923200 102449152000 106547118080 107986944000 122938982400 124859904000 127856541696 133183897600 143982592000 153673728000 159820677120 163918643200 166479872000 172779110400 189136896000 199775846400 204898304000 213094236160 215973888000 245877964800 249719808000 255713083392 266367795200 287965184000 307347456000 319641354240 332959744000 399551692800 409796608000 426188472320 431947776000 491755929600 499439616000 532735590400 614694912000 639282708480 665919488000 799103385600 819593216000 863895552000 998879232000 1065471180800 1229389824000 1278565416960 1331838976000 1598206771200 1997758464000 2130942361600 2458779648000 2663677952000 3196413542400 3995516928000 5327355904000 6392827084800 7991033856000 10654711808000 15982067712000 31964135424000
- Sum of all divisors σ(n): 118351793938560
- Sum of proper divisors (its aliquot sum) s(n): 86387658514560
- 31964135424000 is an abundant number, because the sum of its proper divisors (86387658514560) is greater than itself. Its abundance is 54423523090560
Bases of 31964135424000
- Binary: 1110100010010001110101111000000000000000000002
- Hexadecimal: 0x1D123AF00000
- Base-36: BBW4CXWQO
Squares and roots of 31964135424000
- 31964135424000 squared (319641354240002) is 1021705953403811659776000000
- 31964135424000 cubed (319641354240003) is 32657947458106469650870277505024000000000
-
The
square root of 31964135424000 is 5653683.3501709307 -
The
cube root of 31964135424000 is 31736.1558835489
Scales and comparisons
How big is 31964135424000?- 31,964,135,424,000 seconds is equal to 1,016,360 years, 33 weeks, 2 hours, 40 minutes.
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To count from 1 to 31,964,135,424,000 would take you about two million, five hundred forty thousand, nine hundred one 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 31964135424000 cubic inches would be around 2644.7 feet tall.
Recreational maths with 31964135424000
- 31964135424000 backwards is 00042453146913
- The number of decimal digits it has is: 14
- The sum of 31964135424000's digits is 42
- More coming soon!
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The information we have on file for 31964135424000 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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