4148921952000
4,148,921,952,000 is an even composite number composed of six prime numbers multiplied together.
4148921952000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 4148921952000:
28 × 33 × 53 × 7 × 31 × 22129
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 22129)See below for interesting mathematical facts about the number 4148921952000 from the Numbermatics database.
Names of 4148921952000
- Cardinal: 4148921952000 can be written as Four trillion, one hundred forty-eight billion, nine hundred twenty-one million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.148921952 × 1012
Factors of 4148921952000
Divisors of 4148921952000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 108 112 120 124 125 126 128 135 140 144 150 155 160 168 175 180 186 189 192 200 210 216 217 224 225 240 248 250 252 256 270 279 280 288 300 310 315 320 336 350 360 372 375 378 384 400 420 432 434 448 450 465 480 496 500 504 525 540 558 560 576 600 620 630 640 651 672 675 700 720 744 750 756 768 775 800 837 840 864 868 875 896 900 930 945 960 992 1000 1008 1050 1080 1085 1116 1120 1125 1152 1200 1240 1260 1280 1302 1344 1350 1395 1400 1440 1488 1500 1512 1550 1575 1600 1674 1680 1728 1736 1750 1792 1800 1860 1890 1920 1953 1984 2000 2016 2100 2160 2170 2232 2240 2250 2304 2325 2400 2480 2520 2604 2625 2688 2700 2790 2800 2880 2976 3000 3024 3100 3150 3200 3255 3348 3360 3375 3456 3472 3500 3600 3720 3780 3840 3875 3906 3968 4000 4032 4185 4200 4320 4340 4464 4480 4500 4650 4725 4800 4960 5040 5208 5250 5376 5400 5425 5580 5600 5760 5859 5952 6000 6048 6200 6300 6400 6510 6696 6720 6750 6912 6944 6975 7000 7200 7440 7560 7750 7812 7875 7936 8000 8064 8370 8400 8640 8680 8928 8960 9000 9300 9450 9600 9765 9920 10080 10416 10500 10800 10850 11160 11200 11520 11625 11718 11904 12000 12096 12400 12600 13020 13392 13440 13500 13888 13950 14000 14400 14880 15120 15500 15624 15750 16000 16128 16275 16740 16800 17280 17360 17856 18000 18600 18900 19200 19530 19840 20160 20832 20925 21000 21600 21700 22129 22320 22400 23250 23436 23625 23808 24000 24192 24800 25200 26040 26784 26880 27000 27125 27776 27900 28000 28800 29295 29760 30240 31000 31248 31500 32000 32550 33480 33600 34560 34720 34875 35712 36000 37200 37800 39060 39680 40320 41664 41850 42000 43200 43400 44258 44640 44800 46500 46872 47250 48000 48384 48825 49600 50400 52080 53568 54000 54250 55552 55800 56000 57600 58590 59520 60480 62000 62496 63000 65100 66387 66960 67200 69440 69750 71424 72000 74400 75600 78120 80640 81375 83328 83700 84000 86400 86800 88516 89280 93000 93744 94500 96000 97650 99200 100800 104160 104625 107136 108000 108500 110645 111600 112000 117180 119040 120960 124000 124992 126000 130200 132774 133920 134400 138880 139500 144000 146475 148800 151200 154903 156240 162750 166656 167400 168000 172800 173600 177032 178560 186000 187488 189000 195300 198400 199161 201600 208320 209250 214272 216000 217000 221290 223200 224000 234360 241920 244125 248000 249984 252000 260400 265548 267840 277760 279000 288000 292950 297600 302400 309806 312480 325500 331935 334800 336000 347200 354064 357120 372000 374976 378000 390600 398322 403200 416640 418500 432000 434000 442580 446400 464709 468720 488250 496000 499968 504000 520800 531096 535680 553225 558000 585900 595200 597483 604800 619612 624960 651000 663870 669600 672000 685999 694400 708128 732375 744000 749952 756000 774515 781200 796644 833280 837000 864000 868000 885160 892800 929418 937440 976500 992000 995805 1008000 1041600 1062192 1071360 1106450 1116000 1171800 1194966 1209600 1239224 1249920 1302000 1327740 1339200 1371998 1388800 1394127 1416256 1464750 1488000 1499904 1512000 1549030 1562400 1593288 1659675 1674000 1736000 1770320 1785600 1858836 1874880 1953000 1991610 2016000 2057997 2083200 2124384 2212900 2232000 2323545 2343600 2389932 2478448 2499840 2604000 2655480 2678400 2743996 2766125 2788254 2832512 2929500 2976000 2987415 3024000 3098060 3124800 3186576 3319350 3348000 3429995 3472000 3540640 3717672 3749760 3872575 3906000 3983220 4115994 4166400 4182381 4248768 4425800 4464000 4647090 4687200 4779864 4801993 4956896 4979025 5208000 5310960 5356800 5487992 5532250 5576508 5665024 5859000 5974830 6048000 6173991 6196120 6249600 6373152 6638700 6696000 6859990 6944000 6970635 7081280 7435344 7499520 7745150 7812000 7966440 8231988 8298375 8364762 8497536 8851600 8928000 9294180 9374400 9559728 9603986 9913792 9958050 10289985 10416000 10621920 10975984 11064500 11153016 11617725 11718000 11949660 12347982 12392240 12499200 12746304 13277400 13392000 13719980 13941270 14162560 14405979 14870688 14937075 15490300 15624000 15932880 16463976 16596750 16729524 16995072 17149975 17703200 18521973 18588360 18748800 19119456 19207972 19362875 19827584 19916100 20579970 20832000 20911905 21243840 21951968 22129000 22306032 23235450 23436000 23899320 24009965 24695964 24784480 24895125 25492608 26554800 26784000 27439960 27882540 28325120 28811958 29741376 29874150 30869955 30980600 31248000 31865760 32927952 33193500 33459048 34299950 34853175 35406400 37043946 37176720 37497600 38238912 38415944 38725750 39655168 39832200 41159940 41823810 42487680 43217937 43903936 44258000 44612064 46470900 46872000 47798640 48019930 49391928 49568960 49790250 50985216 51449925 53109600 54879920 55765080 57623916 58088625 59482752 59748300 61739910 61961200 62496000 63731520 65855904 66387000 66918096 68599900 69706350 70812800 72029895 74087892 74353440 74685375 76477824 76831888 77451500 79664400 82319880 83647620 84975360 85749875 86435874 87807872 88516000 89224128 92609865 92941800 93744000 95597280 96039860 98783856 99137920 99580500 102899850 104559525 106219200 109759840 111530160 115247832 116177250 118965504 119496600 120049825 123479820 123922400 127463040 129653811 131711808 132774000 133836192 137199800 139412700 141625600 144059790 148175784 148706880 149370750 152955648 153663776 154349775 154903000 159328800 164639760 167295240 171499750 172871748 174265875 175615744 177032000 178448256 185219730 185883600 187488000 191194560 192079720 197567712 198275840 199161000 205799700 209119050 212438400 216089685 219519680 223060320 230495664 232354500 238993200 240099650 246959640 247844800 254926080 257249625 259307622 263423616 265548000 267672384 274399600 278825400 288119580 296351568 297413760 298741500 307327552 308699550 309806000 318657600 329279520 334590480 342999500 345743496 348531750 354064000 356896512 360149475 370439460 371767200 382389120 384159440 395135424 398322000 411599400 418238100 424876800 432179370 439039360 446120640 460991328 463049325 464709000 477986400 480199300 493919280 495689600 514499250 518615244 522797625 526847232 531096000 535344768 548799200 557650800 576239160 592703136 594827520 597483000 600249125 614655104 617399100 619612000 637315200 648269055 658559040 669180960 685999000 691486992 697063500 708128000 720298950 740878920 743534400 764778240 768318880 771748875 790270848 796644000 823198800 836476200 864358740 878078720 892241280 921982656 926098650 929418000 955972800 960398600 987838560 991379200 1028998500 1037230488 1045595250 1062192000 1070689536 1080448425 1097598400 1115301600 1152478320 1185406272 1194966000 1200498250 1229310208 1234798200 1239224000 1274630400 1296538110 1317118080 1338361920 1371998000 1382973984 1394127000 1440597900 1481757840 1487068800 1536637760 1543497750 1580541696 1593288000 1646397600 1672952400 1728717480 1784482560 1800747375 1843965312 1852197300 1858836000 1911945600 1920797200 1975677120 2057997000 2074460976 2091190500 2124384000 2160896850 2195196800 2230603200 2304956640 2315246625 2370812544 2389932000 2400996500 2469596400 2478448000 2593076220 2634236160 2676723840 2743996000 2765947968 2788254000 2881195800 2963515680 2974137600 3073275520 3086995500 3186576000 3241345275 3292795200 3345904800 3457434960 3601494750 3687930624 3704394600 3717672000 3823891200 3841594400 3951354240 4115994000 4148921952 4182381000 4321793700 4390393600 4461206400 4609913280 4630493250 4741625088 4779864000 4801993000 4939192800 4956896000 5186152440 5353447680 5402242125 5487992000 5531895936 5576508000 5762391600 5927031360 6146551040 6173991000 6373152000 6482690550 6585590400 6691809600 6914869920 7202989500 7408789200 7435344000 7683188800 7902708480 8231988000 8297843904 8364762000 8643587400 8922412800 9219826560 9260986500 9559728000 9603986000 9878385600 10372304880 10804484250 10975984000 11063791872 11153016000 11524783200 11854062720 12347982000 12965381100 13171180800 13383619200 13829739840 14405979000 14817578400 14870688000 15366377600 16206726375 16463976000 16595687808 16729524000 17287174800 18439653120 18521973000 19119456000 19207972000 19756771200 20744609760 21608968500 21951968000 22306032000 23049566400 23708125440 24695964000 25930762200 26767238400 27659479680 28811958000 29635156800 30732755200 32413452750 32927952000 33191375616 33459048000 34574349600 37043946000 38415944000 39513542400 41489219520 43217937000 44612064000 46099132800 49391928000 51861524400 55318959360 57623916000 59270313600 64826905500 65855904000 66918096000 69148699200 74087892000 76831888000 82978439040 86435874000 92198265600 98783856000 103723048800 115247832000 118540627200 129653811000 133836192000 138297398400 148175784000 153663776000 165956878080 172871748000 197567712000 207446097600 230495664000 259307622000 276594796800 296351568000 345743496000 414892195200 460991328000 518615244000 592703136000 691486992000 829784390400 1037230488000 1382973984000 2074460976000 4148921952000
- Sum of all divisors σ(n): 18064538419200
- Sum of proper divisors (its aliquot sum) s(n): 13915616467200
- 4148921952000 is an abundant number, because the sum of its proper divisors (13915616467200) is greater than itself. Its abundance is 9766694515200
Bases of 4148921952000
- Binary: 1111000101111111110000010011100111000000002
- Hexadecimal: 0x3C5FF04E700
- Base-36: 1GXZL0AO0
Squares and roots of 4148921952000
- 4148921952000 squared (41489219520002) is 17213553363787490304000000
- 4148921952000 cubed (41489219520003) is 71417689422941360385252753408000000000
-
The
square root of 4148921952000 is 2036890.2650854807 -
The
cube root of 4148921952000 is 16068.6141274019
Scales and comparisons
How big is 4148921952000?- 4,148,921,952,000 seconds is equal to 131,922 years, 46 weeks.
-
To count from 1 to 4,148,921,952,000 would take you about three hundred twenty-nine thousand, eight hundred seven 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 4148921952000 cubic inches would be around 1339.1 feet tall.
Recreational maths with 4148921952000
- 4148921952000 backwards is 0002591298414
- 4148921952000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4148921952000's digits is 45
- More coming soon!
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The information we have on file for 4148921952000 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 4148921952000, math, Factors of 4148921952000, curriculum, school, college, exams, university, Prime factorization of 4148921952000, STEM, science, technology, engineering, physics, economics, calculator, four trillion, one hundred forty-eight billion, nine hundred twenty-one million, nine hundred fifty-two thousand.