4148448768000
4,148,448,768,000 is an even composite number composed of six prime numbers multiplied together.
4148448768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 4148448768000:
212 × 32 × 53 × 31 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 113 × 257)See below for interesting mathematical facts about the number 4148448768000 from the Numbermatics database.
Names of 4148448768000
- Cardinal: 4148448768000 can be written as Four trillion, one hundred forty-eight billion, four hundred forty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.148448768 × 1012
Factors of 4148448768000
Divisors of 4148448768000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 113 120 124 125 128 144 150 155 160 180 186 192 200 225 226 240 248 250 256 257 279 288 300 310 320 339 360 372 375 384 400 450 452 465 480 496 500 512 514 558 565 576 600 620 640 678 720 744 750 768 771 775 800 900 904 930 960 992 1000 1017 1024 1028 1116 1125 1130 1152 1200 1240 1280 1285 1356 1395 1440 1488 1500 1536 1542 1550 1600 1695 1800 1808 1860 1920 1984 2000 2034 2048 2056 2232 2250 2260 2304 2313 2325 2400 2480 2560 2570 2712 2790 2825 2880 2976 3000 3072 3084 3100 3200 3390 3503 3600 3616 3720 3840 3855 3875 3968 4000 4068 4096 4112 4464 4500 4520 4608 4626 4650 4800 4960 5085 5120 5140 5424 5580 5650 5760 5952 6000 6144 6168 6200 6400 6425 6780 6975 7006 7200 7232 7440 7680 7710 7750 7936 7967 8000 8136 8224 8475 8928 9000 9040 9216 9252 9300 9600 9920 10170 10240 10280 10509 10848 11160 11300 11520 11565 11625 11904 12000 12288 12336 12400 12800 12850 13560 13950 14012 14125 14400 14464 14880 15360 15420 15500 15872 15934 16000 16272 16448 16950 17515 17856 18000 18080 18432 18504 18600 19200 19275 19840 20340 20480 20560 21018 21696 22320 22600 23040 23130 23250 23808 23901 24000 24672 24800 25425 25600 25700 27120 27900 28024 28250 28800 28928 29041 29760 30720 30840 31000 31527 31744 31868 32000 32125 32544 32896 33900 34875 35030 35712 36000 36160 36864 37008 37200 38400 38550 39680 39835 40680 41120 42036 42375 43392 44640 45200 46080 46260 46500 47616 47802 48000 49344 49600 50850 51200 51400 52545 54240 55800 56048 56500 57600 57825 57856 58082 59520 61440 61680 62000 63054 63488 63736 64000 64250 65088 65792 67800 69750 70060 71424 71703 72000 72320 74016 74400 76800 77100 79360 79670 81360 82240 84072 84750 86784 87123 87575 89280 90400 92160 92520 93000 95232 95604 96000 96375 98688 99200 101700 102400 102800 105090 108480 111600 112096 113000 115200 115650 115712 116164 119040 119505 123360 124000 126108 126976 127125 127472 128000 128500 130176 131584 135600 139500 140120 142848 143406 144000 144640 145205 148032 148800 153600 154200 157635 158720 159340 162720 164480 168144 169500 173568 174246 175150 178560 180800 184320 185040 186000 190464 191208 192000 192750 197376 198400 199175 203400 205600 210180 216960 223200 224192 226000 230400 231300 231424 232328 238080 239010 246720 248000 252216 254250 254944 256000 257000 260352 261369 262725 263168 271200 279000 280240 285696 286812 288000 289125 289280 290410 296064 297600 307200 308400 315270 317440 318680 325440 328960 336288 339000 347136 348492 350300 357120 358515 361600 370080 372000 380928 382416 384000 385500 394752 396800 398350 406800 411200 420360 433920 435615 437875 446400 448384 452000 460800 462600 462848 464656 476160 478020 493440 496000 504432 508500 509888 512000 514000 520704 522738 525450 526336 542400 558000 560480 571392 573624 576000 578250 578560 580820 592128 595200 597525 616800 630540 634880 637360 650880 657920 672576 678000 694272 696984 700600 714240 717030 723200 726025 740160 744000 764832 768000 771000 788175 789504 793600 796700 813600 822400 840720 867840 871230 875750 892800 896768 900271 904000 921600 925200 929312 952320 956040 986880 992000 995875 1008864 1017000 1019776 1028000 1041408 1045476 1050900 1052672 1084800 1116000 1120960 1142784 1147248 1152000 1156500 1157120 1161640 1184256 1190400 1195050 1233600 1261080 1274720 1301760 1306845 1313625 1315840 1345152 1356000 1388544 1393968 1401200 1428480 1434060 1446400 1452050 1480320 1488000 1529664 1536000 1542000 1576350 1579008 1587200 1593400 1627200 1644800 1681440 1735680 1742460 1751500 1785600 1792575 1793536 1800542 1808000 1850400 1858624 1904640 1912080 1973760 1984000 1991750 2017728 2034000 2039552 2056000 2082816 2090952 2101800 2169600 2178075 2232000 2241920 2294496 2304000 2313000 2314240 2323280 2368512 2380800 2390100 2467200 2522160 2549440 2603520 2613690 2627250 2631680 2690304 2700813 2712000 2787936 2802400 2856960 2868120 2892800 2904100 2960640 2976000 2987625 3059328 3084000 3152700 3158016 3174400 3186800 3254400 3289600 3362880 3471360 3484920 3503000 3571200 3585150 3587072 3601084 3616000 3630125 3700800 3717248 3824160 3940875 3947520 3968000 3983500 4035456 4068000 4079104 4112000 4165632 4181904 4203600 4339200 4356150 4464000 4483840 4501355 4588992 4608000 4626000 4646560 4737024 4761600 4780200 4934400 5044320 5098880 5207040 5227380 5254500 5263360 5380608 5401626 5424000 5575872 5604800 5713920 5736240 5785600 5808200 5921280 5952000 5975250 6118656 6168000 6305400 6373600 6508800 6534225 6579200 6725760 6942720 6969840 7006000 7142400 7170300 7174144 7202168 7232000 7260250 7401600 7434496 7648320 7881750 7895040 7936000 7967000 8070912 8102439 8136000 8158208 8224000 8363808 8407200 8678400 8712300 8928000 8962875 8967680 9002710 9177984 9252000 9293120 9474048 9523200 9560400 9868800 10088640 10197760 10414080 10454760 10509000 10761216 10803252 10848000 10890375 11151744 11209600 11472480 11571200 11616400 11842560 11904000 11950500 12237312 12336000 12610800 12747200 13017600 13068450 13158400 13451520 13504065 13939680 14012000 14284800 14340600 14348288 14404336 14464000 14520500 14803200 14868992 15296640 15763500 15790080 15872000 15934000 16141824 16204878 16272000 16316416 16448000 16727616 16814400 17356800 17424600 17856000 17925750 17935360 18005420 18355968 18504000 18586240 19120800 19737600 20177280 20395520 20828160 20909520 21018000 21522432 21606504 21696000 21780750 22303488 22419200 22506775 22944960 23232800 23685120 23808000 23901000 24474624 24672000 25221600 25494400 26035200 26136900 26316800 26903040 27008130 27879360 28024000 28569600 28681200 28808672 28928000 29041000 29606400 29737984 30593280 31527000 31868000 32283648 32409756 32544000 32632832 32671125 32896000 33455232 33628800 34713600 34849200 35712000 35851500 35870720 36010840 36711936 37008000 37172480 38241600 39475200 40354560 40512195 40791040 41819040 42036000 43044864 43213008 43392000 43561500 44606976 44838400 45013550 45889920 46465600 47370240 47616000 47802000 48949248 49344000 50443200 50988800 52070400 52273800 53806080 54016260 55758720 56048000 57362400 57617344 57856000 58082000 59212800 59475968 61186560 63054000 63736000 64567296 64819512 65088000 65342250 65792000 66910464 67257600 67520325 69698400 71424000 71703000 71741440 72021680 73423872 74016000 74344960 76483200 78950400 80709120 81024390 81582080 83638080 84072000 86426016 86784000 87123000 89213952 89676800 90027100 91779840 92931200 95604000 97898496 98688000 100886400 101977600 104140800 104547600 107612160 108032520 111517440 112096000 112533875 114724800 115234688 116164000 118425600 118951936 122373120 126108000 127472000 129134592 129639024 130176000 130684500 131584000 133820928 134515200 135040650 139396800 142848000 143406000 144043360 146847744 148032000 148689920 152966400 161418240 162048780 163164160 167276160 168144000 172852032 173568000 174246000 178427904 179353600 180054200 183559680 185862400 191208000 197376000 201772800 202560975 203955200 209095200 215224320 216065040 223034880 224192000 225067750 229449600 230469376 232328000 236851200 244746240 252216000 254944000 259278048 260352000 261369000 267641856 269030400 270081300 278793600 286812000 288086720 293695488 296064000 297379840 305932800 322836480 324097560 334552320 336288000 337601625 345704064 348492000 356855808 358707200 360108400 367119360 371724800 382416000 394752000 403545600 405121950 407910400 418190400 432130080 446069760 448384000 450135500 458899200 460938752 464656000 489492480 504432000 509888000 518556096 520704000 522738000 535283712 538060800 540162600 557587200 573624000 576173440 592128000 594759680 611865600 645672960 648195120 669104640 672576000 675203250 691408128 696984000 720216800 734238720 743449600 764832000 807091200 810243900 815820800 836380800 864260160 892139520 896768000 900271000 917798400 921877504 929312000 1008864000 1012804875 1019776000 1037112192 1045476000 1070567424 1076121600 1080325200 1115174400 1147248000 1152346880 1184256000 1223731200 1296390240 1338209280 1345152000 1350406500 1382816256 1393968000 1440433600 1468477440 1486899200 1529664000 1614182400 1620487800 1672761600 1728520320 1784279040 1793536000 1800542000 1835596800 1843755008 1858624000 2017728000 2025609750 2039552000 2074224384 2090952000 2160650400 2230348800 2294496000 2304693760 2447462400 2592780480 2676418560 2690304000 2700813000 2765632512 2787936000 2880867200 2973798400 3059328000 3228364800 3240975600 3345523200 3457040640 3601084000 3671193600 3687510016 3717248000 4035456000 4051219500 4079104000 4148448768 4181904000 4321300800 4460697600 4588992000 4609387520 5185560960 5352837120 5380608000 5401626000 5531265024 5575872000 5761734400 6118656000 6481951200 6691046400 6914081280 7202168000 7342387200 7434496000 8070912000 8102439000 8296897536 8363808000 8642601600 8921395200 9177984000 9218775040 10371121920 10803252000 11062530048 11151744000 11523468800 12237312000 12963902400 13382092800 13828162560 14404336000 14868992000 16141824000 16204878000 16593795072 16727616000 17285203200 18355968000 18437550080 20742243840 21606504000 22303488000 23046937600 25927804800 26764185600 27656325120 28808672000 32409756000 33187590144 33455232000 34570406400 36711936000 41484487680 43213008000 44606976000 46093875200 51855609600 55312650240 57617344000 64819512000 66910464000 69140812800 82968975360 86426016000 92187750400 103711219200 115234688000 129639024000 133820928000 138281625600 165937950720 172852032000 207422438400 230469376000 259278048000 276563251200 345704064000 414844876800 460938752000 518556096000 691408128000 829689753600 1037112192000 1382816256000 2074224384000 4148448768000
- Sum of all divisors σ(n): 15634334956032
- Sum of proper divisors (its aliquot sum) s(n): 11485886188032
- 4148448768000 is an abundant number, because the sum of its proper divisors (11485886188032) is greater than itself. Its abundance is 7337437420032
Bases of 4148448768000
- Binary: 1111000101111000101101000010110000000000002
- Hexadecimal: 0x3C5E2D0B000
- Base-36: 1GXRRABK0
Squares and roots of 4148448768000
- 4148448768000 squared (41484487680002) is 17209627180720717824000000
- 4148448768000 cubed (41484487680003) is 71393256675600175209048440832000000000
-
The
square root of 4148448768000 is 2036774.1082407739 -
The
cube root of 4148448768000 is 16068.0032297383
Scales and comparisons
How big is 4148448768000?- 4,148,448,768,000 seconds is equal to 131,907 years, 43 weeks, 4 days, 8 hours.
-
To count from 1 to 4,148,448,768,000 would take you about three hundred twenty-nine thousand, seven hundred sixty-nine 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 4148448768000 cubic inches would be around 1339 feet tall.
Recreational maths with 4148448768000
- 4148448768000 backwards is 0008678448414
- The number of decimal digits it has is: 13
- The sum of 4148448768000's digits is 54
- More coming soon!
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The information we have on file for 4148448768000 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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