48133830451200
48,133,830,451,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 48133830451200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
48133830451200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 48133830451200:
213 × 3 × 52 × 135 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 211)See below for interesting mathematical facts about the number 48133830451200 from the Numbermatics database.
Names of 48133830451200
- Cardinal: 48133830451200 can be written as Forty-eight trillion, one hundred thirty-three billion, eight hundred thirty million, four hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.81338304512 × 1013
Factors of 48133830451200
Divisors of 48133830451200
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 200 208 211 240 256 260 300 312 320 325 338 384 390 400 416 422 480 507 512 520 600 624 633 640 650 676 768 780 800 832 844 845 960 975 1014 1024 1040 1055 1200 1248 1266 1280 1300 1352 1536 1560 1600 1664 1688 1690 1920 1950 2028 2048 2080 2110 2197 2400 2496 2532 2535 2560 2600 2704 2743 3072 3120 3165 3200 3328 3376 3380 3840 3900 4056 4096 4160 4220 4225 4394 4800 4992 5064 5070 5120 5200 5275 5408 5486 6144 6240 6330 6400 6591 6656 6752 6760 7680 7800 8112 8192 8229 8320 8440 8450 8788 9600 9984 10128 10140 10240 10400 10550 10816 10972 10985 12288 12480 12660 12675 12800 13182 13312 13504 13520 13715 15360 15600 15825 16224 16458 16640 16880 16900 17576 19200 19968 20256 20280 20480 20800 21100 21632 21944 21970 24576 24960 25320 25350 25600 26364 26624 27008 27040 27430 28561 30720 31200 31650 32448 32916 32955 33280 33760 33800 35152 35659 38400 39936 40512 40560 40960 41145 41600 42200 43264 43888 43940 49920 50640 50700 51200 52728 53248 54016 54080 54860 54925 57122 61440 62400 63300 64896 65832 65910 66560 67520 67600 68575 70304 71318 76800 79872 81024 81120 82290 83200 84400 85683 86528 87776 87880 99840 101280 101400 102400 105456 106496 106977 108032 108160 109720 109850 114244 122880 124800 126600 129792 131664 131820 133120 135040 135200 137150 140608 142636 142805 153600 159744 162048 162240 164580 164775 166400 168800 171366 173056 175552 175760 178295 199680 202560 202800 204800 205725 210912 213954 216064 216320 219440 219700 228488 249600 253200 259584 263328 263640 266240 270080 270400 274300 281216 285272 285610 307200 319488 324096 324480 329160 329550 332800 337600 342732 346112 351104 351520 356590 371293 399360 405120 405600 411450 421824 427908 428415 432128 432640 438880 439400 456976 463567 499200 506400 519168 526656 527280 532480 534885 540160 540800 548600 562432 570544 571220 614400 648192 648960 658320 659100 665600 675200 685464 692224 702208 703040 713180 714025 742586 798720 810240 811200 822900 843648 855816 856830 864256 865280 877760 878800 891475 913952 927134 998400 1012800 1038336 1053312 1054560 1069770 1080320 1081600 1097200 1113879 1124864 1141088 1142440 1296384 1297920 1316640 1318200 1331200 1350400 1370928 1384448 1390701 1404416 1406080 1426360 1428050 1485172 1597440 1620480 1622400 1645800 1687296 1711632 1713660 1728512 1730560 1755520 1757600 1782950 1827904 1854268 1856465 1996800 2025600 2076672 2106624 2109120 2139540 2142075 2160640 2163200 2194400 2227758 2249728 2282176 2284880 2317835 2592768 2595840 2633280 2636400 2662400 2674425 2700800 2741856 2781402 2808832 2812160 2852720 2856100 2970344 3240960 3244800 3291600 3374592 3423264 3427320 3461120 3511040 3515200 3565900 3655808 3708536 3712930 3993600 4051200 4153344 4213248 4218240 4279080 4284150 4321280 4326400 4388800 4455516 4499456 4564352 4569760 4635670 5185536 5191680 5266560 5272800 5348850 5401600 5483712 5562804 5569395 5617664 5624320 5705440 5712200 5940688 6026371 6481920 6489600 6583200 6749184 6846528 6854640 6922240 6953505 7022080 7030400 7131800 7311616 7417072 7425860 7987200 8102400 8426496 8436480 8558160 8568300 8642560 8652800 8777600 8911032 8998912 9128704 9139520 9271340 9282325 10383360 10533120 10545600 10697700 10803200 10967424 11125608 11138790 11235328 11248640 11410880 11424400 11589175 11881376 12052742 12963840 12979200 13166400 13498368 13693056 13709280 13907010 14044160 14060800 14263600 14623232 14834144 14851720 16204800 16852992 16872960 17116320 17136600 17305600 17555200 17822064 17997824 18079113 18257408 18279040 18542680 18564650 20766720 21066240 21091200 21395400 21606400 21934848 22251216 22277580 22470656 22497280 22821760 22848800 23178350 23762752 24105484 25927680 25958400 26332800 26996736 27386112 27418560 27814020 27846975 28088320 28121600 28527200 29246464 29668288 29703440 30131855 32409600 33705984 33745920 34232640 34273200 34611200 34767525 35110400 35644128 36158226 36514816 36558080 37085360 37129300 42132480 42182400 42790800 43212800 43869696 44502432 44555160 44994560 45643520 45697600 46356700 47525504 48210968 51916800 52665600 53993472 54772224 54837120 55628040 55693950 56176640 56243200 57054400 58492928 59336576 59406880 60263710 64819200 67411968 67491840 68465280 68546400 69535050 70220800 71288256 72316452 73029632 73116160 74170720 74258600 78342823 84264960 84364800 85581600 87739392 89004864 89110320 89989120 90395565 91287040 91395200 92713400 95051008 96421936 103833600 105331200 109544448 109674240 111256080 111387900 112353280 112486400 114108800 116985856 118673152 118813760 120527420 129638400 134983680 136930560 137092800 139070100 140441600 142576512 144632904 146059264 146232320 148341440 148517200 150659275 156685646 168529920 168729600 171163200 175478784 178009728 178220640 180791130 182574080 182790400 185426800 190102016 192843872 210662400 219088896 219348480 222512160 222775800 224972800 228217600 233971712 235028469 237346304 237627520 241054840 269967360 273861120 274185600 278140200 280883200 285153024 289265808 292118528 292464640 296682880 297034400 301318550 313371292 337059840 337459200 342326400 350957568 356019456 356441280 361582260 365148160 365580800 370853600 380204032 385687744 391714115 421324800 438177792 438696960 445024320 445551600 449945600 451977825 456435200 470056938 474692608 475255040 482109680 547722240 548371200 556280400 561766400 570306048 578531616 584929280 593365760 594068800 602637100 626742584 674918400 684652800 701915136 712038912 712882560 723164520 730296320 731161600 741707200 760408064 771375488 783428230 842649600 876355584 877393920 890048640 891103200 903955650 912870400 940113876 949385216 950510080 964219360 1095444480 1096742400 1112560800 1140612096 1157063232 1169858560 1175142345 1186731520 1188137600 1205274200 1253485168 1349836800 1369305600 1424077824 1425765120 1446329040 1460592640 1462323200 1483414400 1520816128 1542750976 1566856460 1685299200 1754787840 1780097280 1782206400 1807911300 1825740800 1880227752 1898770432 1901020160 1928438720 1958570575 2190888960 2193484800 2225121600 2281224192 2314126464 2350284690 2373463040 2376275200 2410548400 2506970336 2738611200 2848155648 2851530240 2892658080 2924646400 2966828800 3041632256 3085501952 3133712920 3509575680 3560194560 3564412800 3615822600 3651481600 3760455504 3797540864 3802040320 3856877440 3917141150 4381777920 4386969600 4450243200 4562448384 4628252928 4700569380 4746926080 4752550400 4821096800 5013940672 5477222400 5696311296 5703060480 5785316160 5849292800 5875711725 5933657600 6171003904 6267425840 7120389120 7128825600 7231645200 7302963200 7520911008 7604080640 7713754880 7834282300 8773939200 8900486400 9124896768 9256505856 9401138760 9493852160 9505100800 9642193600 10027881344 10954444800 11392622592 11406120960 11570632320 11751423450 11867315200 12342007808 12534851680 14240778240 14257651200 14463290400 15041822016 15208161280 15427509760 15668564600 17547878400 17800972800 18513011712 18802277520 18987704320 19010201600 19284387200 20055762688 21908889600 22812241920 23141264640 23502846900 23734630400 24684015616 25069703360 28481556480 28515302400 28926580800 30083644032 30855019520 31337129200 35601945600 37026023424 37604555040 38020403200 38568774400 40111525376 45624483840 46282529280 47005693800 47469260800 49368031232 50139406720 56963112960 57030604800 57853161600 60167288064 61710039040 62674258400 71203891200 74052046848 75209110080 76040806400 77137548800 80223050752 92565058560 94011387600 94938521600 100278813440 114061209600 115706323200 120334576128 123420078080 125348516800 142407782400 148104093696 150418220160 154275097600 160446101504 185130117120 188022775200 200557626880 228122419200 231412646400 240669152256 246840156160 250697033600 284815564800 300836440320 308550195200 320892203008 370260234240 376045550400 401115253760 462825292800 481338304512 501394067200 601672880640 617100390400 641784406016 740520468480 752091100800 802230507520 925650585600 962676609024 1002788134400 1203345761280 1234200780800 1504182201600 1604461015040 1851301171200 1925353218048 2005576268800 2406691522560 3008364403200 3208922030080 3702602342400 4011152537600 4813383045120 6016728806400 8022305075200 9626766090240 12033457612800 16044610150400 24066915225600 48133830451200
- Sum of all divisors σ(n): 173232652463136
- Sum of proper divisors (its aliquot sum) s(n): 125098822011936
- 48133830451200 is an abundant number, because the sum of its proper divisors (125098822011936) is greater than itself. Its abundance is 76964991560736
Bases of 48133830451200
- Binary: 10101111000111000001111101110110100000000000002
- Hexadecimal: 0x2BC707DDA000
- Base-36: H28DJVE2O
Squares and roots of 48133830451200
- 48133830451200 squared (481338304512002) is 2316865633904868395581440000
- 48133830451200 cubed (481338304512003) is 111519617600588945543166404201545728000000
-
The
square root of 48133830451200 is 6937854.8883066155 -
The
cube root of 48133830451200 is 36376.1563575377
Scales and comparisons
How big is 48133830451200?- 48,133,830,451,200 seconds is equal to 1,530,506 years, 47 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 48,133,830,451,200 would take you about three million, eight hundred twenty-six thousand, two hundred sixty-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 48133830451200 cubic inches would be around 3031.3 feet tall.
Recreational maths with 48133830451200
- 48133830451200 backwards is 00215403833184
- The number of decimal digits it has is: 14
- The sum of 48133830451200's digits is 42
- More coming soon!
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The information we have on file for 48133830451200 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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