38048611328000
38,048,611,328,000 is an even composite number composed of five prime numbers multiplied together.
38048611328000 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 38048611328000:
213 × 53 × 73 × 132 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 641)See below for interesting mathematical facts about the number 38048611328000 from the Numbermatics database.
Names of 38048611328000
- Cardinal: 38048611328000 can be written as Thirty-eight trillion, forty-eight billion, six hundred eleven million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.8048611328 × 1013
Factors of 38048611328000
Divisors of 38048611328000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 245 250 256 260 280 320 325 338 343 350 364 392 400 416 448 455 490 500 512 520 560 637 640 641 650 676 686 700 728 784 800 832 845 875 896 910 980 1000 1024 1040 1120 1183 1225 1274 1280 1282 1300 1352 1372 1400 1456 1568 1600 1625 1664 1690 1715 1750 1792 1820 1960 2000 2048 2080 2240 2275 2366 2450 2548 2560 2564 2600 2704 2744 2800 2912 3136 3185 3200 3205 3250 3328 3380 3430 3500 3584 3640 3920 4000 4096 4160 4225 4459 4480 4487 4550 4732 4900 5096 5120 5128 5200 5408 5488 5600 5824 5915 6125 6272 6370 6400 6410 6500 6656 6760 6860 7000 7168 7280 7840 8000 8192 8281 8320 8333 8450 8575 8918 8960 8974 9100 9464 9800 10192 10240 10256 10400 10816 10976 11200 11375 11648 11830 12250 12544 12740 12800 12820 13000 13312 13520 13720 14000 14336 14560 15680 15925 16000 16025 16562 16640 16666 16900 17150 17836 17920 17948 18200 18928 19600 20384 20480 20512 20800 21125 21632 21952 22295 22400 22435 22750 23296 23660 24500 25088 25480 25600 25640 26000 26624 27040 27440 28000 28672 29120 29575 31360 31409 31850 32000 32050 33124 33280 33332 33800 34300 35672 35840 35896 36400 37856 39200 40768 40960 41024 41405 41600 41665 42250 42875 43264 43904 44590 44800 44870 45500 46592 47320 49000 50176 50960 51200 51280 52000 53248 54080 54880 56000 57344 57967 58240 58331 59150 62720 62818 63700 64000 64100 66248 66560 66664 67600 68600 71344 71680 71792 72800 75712 78400 79625 80125 81536 82048 82810 83200 83330 84500 85750 86528 87808 89180 89600 89740 91000 93184 94640 98000 100352 101920 102400 102560 104000 106496 108160 108329 109760 111475 112000 112175 115934 116480 116662 118300 125440 125636 127400 128000 128200 132496 133120 133328 135200 137200 142688 143360 143584 145600 147875 151424 156800 157045 159250 160250 163072 164096 165620 166400 166660 169000 171500 173056 175616 178360 179200 179480 182000 186368 189280 196000 200704 203840 204800 205120 207025 208000 208325 216320 216658 219520 219863 222950 224000 224350 231868 232960 233324 236600 250880 251272 254800 256000 256400 264992 266240 266656 270400 274400 285376 286720 287168 289835 291200 291655 295750 302848 313600 314090 318500 320500 326144 328192 331240 332800 333320 338000 343000 346112 351232 356720 358400 358960 364000 372736 378560 392000 401408 407680 408317 410240 414050 416000 416650 432640 433316 439040 439726 445900 448000 448700 463736 465920 466648 473200 501760 502544 509600 512000 512800 529984 532480 533312 540800 541645 548800 557375 560875 570752 574336 579670 582400 583310 591500 605696 627200 628180 637000 641000 652288 656384 662480 665600 666640 676000 686000 692224 702464 713440 716800 717920 728000 745472 757120 758303 784000 785225 815360 816634 820480 828100 832000 833300 865280 866632 878080 879452 891800 896000 897400 927472 931840 933296 946400 1003520 1005088 1019200 1024000 1025600 1035125 1041625 1059968 1066624 1081600 1083290 1097600 1099315 1114750 1121750 1141504 1148672 1159340 1164800 1166620 1183000 1211392 1254400 1256360 1274000 1282000 1304576 1312768 1324960 1331200 1333280 1352000 1372000 1384448 1404928 1426880 1433600 1435840 1449175 1456000 1458275 1514240 1516606 1568000 1570450 1630720 1633268 1640960 1656200 1664000 1666600 1730560 1733264 1756160 1758904 1783600 1792000 1794800 1854944 1863680 1866592 1892800 2007040 2010176 2038400 2041585 2051200 2070250 2083250 2119936 2133248 2163200 2166580 2195200 2198630 2229500 2243500 2283008 2297344 2318680 2329600 2333240 2366000 2422784 2508800 2512720 2548000 2564000 2609152 2625536 2649920 2662400 2666560 2704000 2708225 2744000 2809856 2853760 2858219 2871680 2898350 2912000 2916550 3028480 3033212 3136000 3140900 3261440 3266536 3281920 3312400 3328000 3333200 3461120 3466528 3512320 3517808 3567200 3584000 3589600 3709888 3727360 3733184 3785600 3791515 3926125 4020352 4076800 4083170 4102400 4140500 4166500 4239872 4266496 4326400 4333160 4390400 4397260 4459000 4487000 4566016 4594688 4637360 4659200 4666480 4732000 4845568 5017600 5025440 5096000 5128000 5218304 5251072 5299840 5308121 5333120 5408000 5416450 5488000 5496575 5707520 5716438 5743360 5796700 5824000 5833100 6056960 6066424 6272000 6281800 6522880 6533072 6563840 6624800 6656000 6666400 6922240 6933056 7024640 7035616 7134400 7168000 7179200 7245875 7291375 7419776 7466368 7571200 7583030 7852250 8040704 8153600 8166340 8204800 8281000 8333000 8479744 8532992 8652800 8666320 8780800 8794520 8918000 8974000 9132032 9189376 9274720 9318400 9332960 9464000 9691136 10035200 10050880 10192000 10207925 10256000 10599680 10616242 10666240 10816000 10832900 10976000 10993150 11415040 11432876 11486720 11593400 11648000 11666200 12113920 12132848 12544000 12563600 13045760 13066144 13127680 13249600 13312000 13332800 13541125 13866112 14049280 14071232 14268800 14291095 14358400 14491750 14582750 14839552 14932736 15142400 15166060 15704500 16081408 16307200 16332680 16409600 16562000 16666000 16959488 17065984 17305600 17332640 17561600 17589040 17836000 17948000 18264064 18378752 18549440 18636800 18665920 18928000 18957575 20101760 20384000 20415850 20512000 21199360 21232484 21332480 21632000 21665800 21952000 21986300 22830080 22865752 22973440 23186800 23296000 23332400 24227840 24265696 25088000 25127200 26091520 26132288 26255360 26499200 26540605 26665600 27082250 27482875 27732224 28142464 28537600 28582190 28716800 28983500 29165500 29679104 29865472 30284800 30332120 31409000 32162816 32614400 32665360 32819200 33124000 33332000 33918976 34131968 34611200 34665280 35123200 35178080 35672000 35896000 36528128 36757504 37098880 37156847 37331840 37856000 37915150 40203520 40768000 40831700 41024000 42398720 42464968 42664960 43264000 43331600 43904000 43972600 45660160 45731504 45946880 46373600 46592000 46664800 48455680 48531392 50176000 50254400 51039625 52264576 52998400 53081210 53331200 54164500 54965750 55464448 56284928 57075200 57164380 57433600 57967000 58331000 59358208 59730944 60569600 60664240 62818000 64325632 65228800 65330720 65638400 66248000 66664000 67837952 68263936 69330560 70246400 70356160 71344000 71455475 71792000 74197760 74313694 74663680 75712000 75830300 80407040 81536000 81663400 82048000 84797440 84929936 85329920 86528000 86663200 87808000 87945200 91320320 91463008 91893760 92747200 93184000 93329600 94787875 97062784 100508800 102079250 104529152 105996800 106162420 106662400 108329000 109931500 110928896 112569856 114150400 114328760 114867200 115934000 116662000 118716416 119461888 121139200 121328480 125636000 128651264 130457600 130661440 131276800 132496000 132703025 133328000 138661120 140712320 142688000 142910950 143584000 148395520 148627388 149327360 151424000 151660600 160814080 163072000 163326800 164096000 169594880 169859872 170659840 173056000 173326400 175616000 175890400 182640640 182926016 183787520 185494400 185784235 186659200 189575750 194125568 201017600 204158500 209058304 211993600 212324840 213324800 216658000 219863000 221857792 225139712 228300800 228657520 229734400 231868000 233324000 237432832 238923776 242278400 242656960 251272000 257302528 261322880 264992000 265406050 266656000 277322240 281424640 285376000 285821900 287168000 296791040 297254776 298654720 302848000 303321200 321628160 326144000 326653600 328192000 339189760 339719744 341319680 346652800 351232000 351780800 357277375 365852032 370988800 371568470 373318400 379151500 388251136 402035200 408317000 418116608 423987200 424649680 426649600 433316000 439726000 443715584 450279424 456601600 457315040 459468800 463736000 466648000 474865664 477847552 485313920 502544000 522645760 529984000 530812100 533312000 554644480 562849280 570752000 571643800 574336000 593582080 594509552 597309440 605696000 606642400 643256320 652288000 653307200 656384000 663515125 679439488 693305600 703561600 714554750 731704064 741977600 743136940 746636800 758303000 776502272 804070400 816634000 836233216 847974400 849299360 853299200 866632000 879452000 887431168 900558848 913203200 914630080 918937600 927472000 928921175 933296000 970627840 1005088000 1045291520 1059968000 1061624200 1066624000 1109288960 1125698560 1141504000 1143287600 1148672000 1187164160 1189019104 1194618880 1211392000 1213284800 1286512640 1306614400 1327030250 1358878976 1386611200 1407123200 1429109500 1463408128 1483955200 1486273880 1493273600 1516606000 1553004544 1608140800 1633268000 1672466432 1695948800 1698598720 1706598400 1733264000 1758904000 1801117696 1829260160 1854944000 1857842350 1866592000 1941255680 2010176000 2090583040 2119936000 2123248400 2133248000 2218577920 2251397120 2283008000 2286575200 2297344000 2374328320 2378038208 2389237760 2426569600 2613228800 2654060500 2717757952 2773222400 2814246400 2858219000 2926816256 2967910400 2972547760 2986547200 3033212000 3106009088 3216281600 3266536000 3344932864 3397197440 3466528000 3517808000 3658520320 3709888000 3715684700 3733184000 3882511360 4020352000 4181166080 4239872000 4246496800 4266496000 4437155840 4502794240 4566016000 4573150400 4594688000 4644605875 4756076416 4853139200 5226457600 5308121000 5435515904 5546444800 5628492800 5716438000 5853632512 5935820800 5945095520 5973094400 6066424000 6212018176 6432563200 6533072000 6794394880 6933056000 7035616000 7317040640 7419776000 7431369400 7466368000 7765022720 8040704000 8362332160 8479744000 8492993600 8532992000 9005588480 9146300800 9289211750 9512152832 9706278400 10452915200 10616242000 10871031808 11092889600 11256985600 11432876000 11707265024 11871641600 11890191040 11946188800 12132848000 13066144000 13588789760 13866112000 14071232000 14634081280 14839552000 14862738800 14932736000 15530045440 16081408000 16724664320 16985987200 18292601600 18578423500 19024305664 19412556800 20905830400 21232484000 21742063616 22185779200 22513971200 22865752000 23414530048 23780382080 24265696000 26132288000 27177579520 27732224000 28142464000 29268162560 29679104000 29725477600 29865472000 31060090880 32162816000 33971974400 36585203200 37156847000 38048611328 38825113600 41811660800 42464968000 43484127232 45027942400 45731504000 47560764160 48531392000 52264576000 54355159040 55464448000 56284928000 58536325120 59358208000 59450955200 59730944000 67943948800 73170406400 74313694000 76097222656 77650227200 83623321600 84929936000 91463008000 95121528320 97062784000 104529152000 108710318080 110928896000 112569856000 117072650240 118901910400 135887897600 146340812800 148627388000 152194445312 155300454400 169859872000 182926016000 190243056640 194125568000 209058304000 217420636160 225139712000 237803820800 271775795200 292681625600 297254776000 304388890624 339719744000 365852032000 380486113280 388251136000 418116608000 475607641600 543551590400 585363251200 594509552000 679439488000 731704064000 760972226560 776502272000 951215283200 1087103180800 1189019104000 1358878976000 1463408128000 1521944453120 1902430566400 2378038208000 2717757952000 2926816256000 3804861132800 4756076416000 5435515904000 7609722265600 9512152832000 19024305664000 38048611328000
- Sum of all divisors σ(n): 120105843811200
- Sum of proper divisors (its aliquot sum) s(n): 82057232483200
- 38048611328000 is an abundant number, because the sum of its proper divisors (82057232483200) is greater than itself. Its abundance is 44008621155200
Bases of 38048611328000
- Binary: 10001010011010111000011111011001100000000000002
- Hexadecimal: 0x229AE1F66000
- Base-36: DHJAGSR28
Squares and roots of 38048611328000
- 38048611328000 squared (380486113280002) is 1447696823989209923584000000
- 38048611328000 cubed (380486113280003) is 55082853776745474848248196759552000000000
-
The
square root of 38048611328000 is 6168355.6421464545 -
The
cube root of 38048611328000 is 33634.0839319935
Scales and comparisons
How big is 38048611328000?- 38,048,611,328,000 seconds is equal to 1,209,828 years, 7 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 38,048,611,328,000 would take you about three million, twenty-four thousand, five hundred seventy 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 38048611328000 cubic inches would be around 2802.8 feet tall.
Recreational maths with 38048611328000
- 38048611328000 backwards is 00082311684083
- The number of decimal digits it has is: 14
- The sum of 38048611328000's digits is 44
- More coming soon!
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The information we have on file for 38048611328000 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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