48480972384000
48,480,972,384,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48480972384000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
48480972384000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48480972384000:
28 × 3 × 53 × 13 × 53 × 421 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 53 × 421 × 1741)See below for interesting mathematical facts about the number 48480972384000 from the Numbermatics database.
Names of 48480972384000
- Cardinal: 48480972384000 can be written as Forty-eight trillion, four hundred eighty billion, nine hundred seventy-two million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.8480972384 × 1013
Factors of 48480972384000
Divisors of 48480972384000
- Number of divisors d(n): 1152
-
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 53 60 64 65 75 78 80 96 100 104 106 120 125 128 130 150 156 159 160 192 195 200 208 212 240 250 256 260 265 300 312 318 320 325 375 384 390 400 416 421 424 480 500 520 530 600 624 636 640 650 689 750 768 780 795 800 832 842 848 960 975 1000 1040 1060 1200 1248 1263 1272 1280 1300 1325 1378 1500 1560 1590 1600 1625 1664 1684 1696 1741 1920 1950 2000 2067 2080 2105 2120 2400 2496 2526 2544 2600 2650 2756 3000 3120 3180 3200 3250 3328 3368 3392 3445 3482 3840 3900 3975 4000 4134 4160 4210 4240 4800 4875 4992 5052 5088 5200 5223 5300 5473 5512 6000 6240 6315 6360 6400 6500 6625 6736 6784 6890 6964 7800 7950 8000 8268 8320 8420 8480 8705 9600 9750 9984 10104 10176 10335 10400 10446 10525 10600 10946 11024 12000 12480 12630 12720 13000 13250 13472 13568 13780 13928 15600 15900 16000 16419 16536 16640 16840 16960 17225 17410 19200 19500 19875 20208 20352 20670 20800 20892 21050 21200 21892 22048 22313 22633 24000 24960 25260 25440 26000 26115 26500 26944 27365 27560 27856 31200 31575 31800 32000 32838 33072 33680 33920 34450 34820 39000 39750 40416 40704 41340 41600 41784 42100 42400 43525 43784 44096 44626 45266 48000 49920 50520 50880 51675 52000 52230 52625 53000 53888 54730 55120 55712 62400 63150 63600 65676 66144 66939 67360 67840 67899 68900 69640 78000 79500 80832 82095 82680 83200 83568 84200 84800 86125 87050 87568 88192 89252 90532 92273 96000 101040 101760 103350 104000 104460 105250 106000 107776 109460 110240 111424 111565 113165 124800 126300 127200 130575 131352 132288 133878 134720 135798 136825 137800 139280 156000 157875 159000 161664 164190 165360 167136 168400 169600 172250 174100 175136 176384 178504 181064 184546 202080 203520 206700 208000 208920 210500 212000 217625 218920 220480 222848 223130 226330 249600 252600 254400 258375 261150 262704 264576 267756 269440 271596 273650 275600 276819 278560 290069 312000 315750 318000 323328 328380 330720 334272 334695 336800 339200 339495 344500 348200 350272 357008 362128 369092 404160 410475 413400 416000 417840 421000 424000 435250 437840 440960 445696 446260 452660 461365 505200 508800 516750 522300 525408 529152 535512 538880 543192 547300 551200 553638 557120 557825 565825 580138 624000 631500 636000 652875 656760 661440 668544 669390 673600 678990 684125 689000 696400 700544 714016 724256 732961 738184 808320 820950 826800 835680 842000 848000 870207 870500 875680 881920 892520 905320 922730 1010400 1017600 1033500 1044600 1050816 1071024 1086384 1094600 1102400 1107276 1114240 1115650 1131650 1160276 1199549 1248000 1263000 1272000 1305750 1313520 1322880 1337088 1338780 1347200 1357980 1368250 1378000 1384095 1392800 1401088 1428032 1448512 1450345 1465922 1476368 1616640 1641900 1653600 1671360 1673475 1684000 1696000 1697475 1740414 1741000 1751360 1785040 1810640 1845460 2020800 2052375 2067000 2089200 2101632 2142048 2172768 2189200 2198883 2204800 2214552 2228480 2231300 2263300 2306825 2320552 2399098 2526000 2544000 2611500 2627040 2645760 2677560 2694400 2715960 2736500 2756000 2768190 2785600 2789125 2829125 2856064 2897024 2900690 2931844 2952736 3283800 3307200 3342720 3346950 3368000 3394950 3480828 3482000 3502720 3570080 3598647 3621280 3664805 3690920 4041600 4104750 4134000 4178400 4203264 4284096 4345536 4351035 4378400 4397766 4409600 4429104 4462600 4526600 4613650 4641104 4798196 5052000 5088000 5223000 5254080 5355120 5431920 5473000 5512000 5536380 5571200 5578250 5658250 5712128 5794048 5801380 5863688 5905472 5997745 6567600 6614400 6685440 6693900 6736000 6789900 6920475 6961656 6964000 7005440 7140160 7197294 7242560 7251725 7329610 7381840 8083200 8209500 8268000 8356800 8367375 8487375 8568192 8691072 8702070 8756800 8795532 8858208 8925200 9053200 9227300 9282208 9528493 9596392 10104000 10446000 10508160 10710240 10863840 10946000 10994415 11024000 11072760 11142400 11156500 11316500 11534125 11602760 11727376 11810944 11995490 13135200 13228800 13387800 13472000 13579800 13840950 13923312 13928000 14280320 14394588 14485120 14503450 14659220 14763680 16419000 16536000 16713600 16734750 16974750 17136384 17382144 17404140 17513600 17591064 17716416 17850400 17993235 18106400 18324025 18454600 18564416 19056986 19192784 20208000 20892000 21016320 21420480 21727680 21755175 21892000 21988830 22048000 22145520 22313000 22633000 23068250 23205520 23454752 23621888 23990980 26270400 26775600 27159600 27681900 27846624 27856000 28560640 28585479 28789176 28970240 29006900 29318440 29527360 29988725 32838000 33072000 33427200 33469500 33949500 34602375 34808280 35027200 35182128 35432832 35700800 35986470 36212800 36258625 36648050 36909200 37128832 38113972 38385568 38846933 40416000 41784000 42840960 43455360 43510350 43784000 43977660 44291040 44626000 45266000 46136500 46411040 46909504 47642465 47981960 52540800 53551200 54319200 54972075 55363800 55693248 55712000 57170958 57578352 58013800 58636880 59054720 59977450 65676000 66144000 66939000 67899000 69204750 69616560 70364256 70865664 71401600 71972940 72425600 72517250 73296100 73818400 74257664 76227944 76771136 77693866 83568000 85681920 86910720 87020700 87568000 87955320 88582080 89252000 89966175 90532000 91620125 92273000 92822080 93819008 95284930 95963920 105081600 107102400 108638400 108775875 109944150 110727600 111386496 114341916 115156704 116027600 116540799 117273760 118109440 119954900 131352000 133878000 135798000 138409500 139233120 140728512 142803200 142927395 143945880 144851200 145034500 146592200 147636800 149943625 152455888 153542272 155387732 167136000 174041400 175136000 175910640 177164160 178504000 179932350 181064000 183240250 184546000 185644160 187638016 190569860 191927840 194234665 214204800 217276800 217551750 219888300 221455200 222772992 228683832 230313408 232055200 233081598 234547520 238212325 239909800 262704000 267756000 271596000 274860375 276819000 278466240 281457024 285854790 287891760 290069000 293184400 295273600 299887250 304911776 307084544 310775464 348082800 351821280 354328320 357008000 359864700 362128000 366480500 369092000 371288320 381139720 383855680 388469330 428409600 434553600 435103500 439776600 442910400 449830875 457367664 460626816 464110400 466163196 469095040 476424650 479819600 505010129 525408000 535512000 543192000 549720750 553638000 556932480 562914048 571709580 575783520 580138000 582703995 586368800 590547200 599774500 609823552 621550928 696165600 703642560 714016000 714636975 719729400 724256000 732961000 738184000 762279440 767711360 776938660 870207000 879553200 885820800 899661750 914735328 921253632 928220800 932326392 938190080 952849300 959639200 971173325 1010020258 1071024000 1086384000 1099441500 1107276000 1113864960 1143419160 1151567040 1160276000 1165407990 1172737600 1191061625 1199549000 1219647104 1243101856 1392331200 1407285120 1429273950 1439458800 1465922000 1476368000 1515030387 1524558880 1535422720 1553877320 1740414000 1759106400 1771641600 1799323500 1829470656 1856441600 1864652784 1905698600 1919278400 1942346650 2020040516 2142048000 2172768000 2198883000 2214552000 2286838320 2303134080 2320552000 2330815980 2345475200 2382123250 2399098000 2439294208 2486203712 2525050645 2784662400 2814570240 2858547900 2878917600 2913519975 2931844000 2952736000 3030060774 3049117760 3107754640 3480828000 3518212800 3573184875 3598647000 3658941312 3729305568 3811397200 3838556800 3884693300 4040081032 4397766000 4429104000 4573676640 4606268160 4641104000 4661631960 4690950400 4764246500 4798196000 4855866625 4972407424 5050101290 5569324800 5717095800 5757835200 5827039950 5863688000 6060121548 6098235520 6215509280 6961656000 7036425600 7146369750 7197294000 7317882624 7458611136 7575151935 7622794400 7677113600 7769386600 8080162064 8795532000 8858208000 9147353280 9282208000 9323263920 9528493000 9596392000 9711733250 9944814848 10100202580 11434191600 11515670400 11654079900 11727376000 12120243096 12196471040 12431018560 12625253225 13923312000 14072851200 14292739500 14394588000 14567599875 14917222272 15150303870 15245588800 15538773200 16160324128 17591064000 18294706560 18646527840 19056986000 19192784000 19423466500 20200405160 22868383200 23031340800 23308159800 23454752000 24240486192 24862037120 25250506450 27846624000 28585479000 28789176000 29135199750 29834444544 30300607740 30491177600 31077546400 32320648256 35182128000 36589413120 37293055680 37875759675 38113972000 38385568000 38846933000 40400810320 45736766400 46616319600 48480972384 49724074240 50501012900 57170958000 57578352000 58270399500 60601215480 60982355200 62155092800 63126266125 64641296512 70364256000 74586111360 75751519350 76227944000 77693866000 80801620640 91473532800 93232639200 96961944768 101002025800 114341916000 115156704000 116540799000 121202430960 124310185600 126252532250 129282593024 149172222720 151503038700 152455888000 155387732000 161603241280 182947065600 186465278400 189378798375 193923889536 202004051600 228683832000 233081598000 242404861920 248620371200 252505064500 303006077400 304911776000 310775464000 323206482560 372930556800 378757596750 387847779072 404008103200 457367664000 466163196000 484809723840 505010129000 606012154800 621550928000 646412965120 745861113600 757515193500 808016206400 914735328000 932326392000 969619447680 1010020258000 1212024309600 1243101856000 1515030387000 1616032412800 1864652784000 1939238895360 2020040516000 2424048619200 3030060774000 3232064825600 3729305568000 4040081032000 4848097238400 6060121548000 8080162064000 9696194476800 12120243096000 16160324128000 24240486192000 48480972384000
- Sum of all divisors σ(n): 177209861826816
- Sum of proper divisors (its aliquot sum) s(n): 128728889442816
- 48480972384000 is an abundant number, because the sum of its proper divisors (128728889442816) is greater than itself. Its abundance is 80247917058816
Bases of 48480972384000
- Binary: 10110000010111110110110010001100100111000000002
- Hexadecimal: 0x2C17DB232700
- Base-36: H6NUN7RPC
Squares and roots of 48480972384000
- 48480972384000 squared (484809723840002) is 2350404683298170643456000000
- 48480972384000 cubed (484809723840003) is 113949904542202877003109846319104000000000
-
The
square root of 48480972384000 is 6962827.9013630661 -
The
cube root of 48480972384000 is 36463.3954374563
Scales and comparisons
How big is 48480972384000?- 48,480,972,384,000 seconds is equal to 1,541,544 years, 49 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 48,480,972,384,000 would take you about three million, eight hundred fifty-three thousand, eight hundred sixty-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 48480972384000 cubic inches would be around 3038.6 feet tall.
Recreational maths with 48480972384000
- 48480972384000 backwards is 00048327908484
- The number of decimal digits it has is: 14
- The sum of 48480972384000's digits is 57
- More coming soon!
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The information we have on file for 48480972384000 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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