48144315392000
48,144,315,392,000 is an even composite number composed of six prime numbers multiplied together.
48144315392000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 48144315392000:
213 × 53 × 232 × 31 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 23 × 31 × 47 × 61)See below for interesting mathematical facts about the number 48144315392000 from the Numbermatics database.
Names of 48144315392000
- Cardinal: 48144315392000 can be written as Forty-eight trillion, one hundred forty-four billion, three hundred fifteen million, three hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.8144315392 × 1013
Factors of 48144315392000
Divisors of 48144315392000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 32 40 46 47 50 61 62 64 80 92 94 100 115 122 124 125 128 155 160 184 188 200 230 235 244 248 250 256 305 310 320 368 376 400 460 470 488 496 500 512 529 575 610 620 640 713 736 752 775 800 920 940 976 992 1000 1024 1058 1081 1150 1175 1220 1240 1280 1403 1426 1457 1472 1504 1525 1550 1600 1840 1880 1891 1952 1984 2000 2048 2116 2162 2300 2350 2440 2480 2560 2645 2806 2852 2867 2875 2914 2944 3008 3050 3100 3200 3565 3680 3760 3782 3875 3904 3968 4000 4096 4232 4324 4600 4700 4880 4960 5120 5290 5405 5612 5704 5734 5750 5828 5875 5888 6016 6100 6200 6400 7015 7130 7285 7360 7520 7564 7625 7750 7808 7936 8000 8192 8464 8648 9200 9400 9455 9760 9920 10240 10580 10810 11224 11408 11468 11500 11656 11750 11776 12032 12200 12400 12800 13225 14030 14260 14335 14570 14720 15040 15128 15250 15500 15616 15872 16000 16399 16928 17296 17825 18400 18800 18910 19520 19840 20480 21160 21620 22448 22816 22936 23000 23312 23500 23552 24064 24400 24800 24863 25600 26450 27025 28060 28520 28670 29140 29440 30080 30256 30500 31000 31232 31744 32000 32269 32798 33511 33856 34592 35075 35650 36425 36800 37600 37820 39040 39680 40960 42320 43240 43493 44896 45632 45872 46000 46624 47000 47104 47275 48128 48800 49600 49726 51200 52900 54050 56120 57040 57340 58280 58880 60160 60512 61000 62000 62464 63488 64000 64538 65596 65941 66125 67022 67712 69184 70150 71300 71675 72850 73600 75200 75640 78080 79360 81995 84640 86480 86986 88877 89125 89792 91264 91744 92000 93248 94000 94208 94550 96256 97600 99200 99452 102400 105800 108100 112240 114080 114680 116560 117760 120320 121024 122000 124000 124315 124928 126976 128000 129076 131192 131882 132250 134044 135125 135424 138368 140300 142600 143350 145700 147200 150400 151280 156160 158720 161345 163990 167555 169280 172960 173972 175375 177754 178250 179584 182125 182528 183488 184000 186496 188000 188416 189100 192512 195200 198400 198904 204800 211600 216200 217465 224480 228160 229360 233120 235520 236375 240640 242048 244000 248000 248630 249856 253952 256000 258152 262384 263764 264500 268088 270250 270848 276736 280600 285200 286700 291400 294400 300800 302560 312320 317440 322690 327980 329705 335110 338560 345920 347944 350750 355508 356500 358375 359168 364250 365056 366976 368000 372992 376000 378200 385024 390400 396800 397808 409975 423200 432400 434930 444385 448960 456320 458720 466240 471040 472750 481280 484096 488000 496000 497260 499712 512000 516304 524768 527528 529000 536176 540500 541696 553472 561200 570400 573400 582800 588800 601600 605120 621575 624640 634880 645380 655960 659410 670220 677120 691840 695888 701500 711016 713000 716750 718336 728500 730112 733952 736000 745984 752000 756400 770753 780800 793600 795616 806725 819950 837775 846400 864800 869860 888770 897920 912640 917440 932480 942080 945500 962560 968192 976000 992000 994520 1000339 1024000 1032608 1049536 1055056 1058000 1072352 1081000 1083392 1087325 1106944 1122400 1140800 1146800 1165600 1177600 1203200 1210240 1243150 1249280 1269760 1290760 1311920 1318820 1340440 1354240 1383680 1391776 1403000 1422032 1426000 1433500 1436672 1457000 1460224 1467904 1472000 1491968 1504000 1512800 1516643 1541506 1561600 1587200 1591232 1613450 1639900 1648525 1675550 1692800 1729600 1739720 1777540 1795840 1825280 1834880 1864960 1891000 1925120 1936384 1952000 1984000 1989040 2000678 2044171 2049875 2065216 2099072 2110112 2116000 2144704 2162000 2166784 2174650 2213888 2221925 2244800 2281600 2293600 2331200 2355200 2406400 2420480 2486300 2498560 2581520 2623840 2637640 2680880 2708480 2767360 2783552 2806000 2844064 2852000 2867000 2873344 2914000 2920448 2935808 2944000 2983936 3008000 3025600 3033286 3083012 3107875 3123200 3174400 3182464 3226900 3279800 3297050 3351100 3385600 3459200 3479440 3555080 3591680 3650560 3669760 3729920 3782000 3853765 3872768 3904000 3968000 3978080 4001356 4033625 4088342 4099750 4130432 4188875 4198144 4220224 4232000 4289408 4324000 4333568 4349300 4427776 4443850 4489600 4563200 4587200 4662400 4710400 4812800 4840960 4972600 5001695 5163040 5247680 5275280 5361760 5416960 5436625 5534720 5567104 5612000 5688128 5704000 5734000 5746688 5828000 5840896 5871616 5888000 5967872 6016000 6051200 6066572 6166024 6215750 6246400 6348800 6364928 6453800 6559600 6594100 6702200 6771200 6918400 6958880 7110160 7183360 7301120 7339520 7459840 7564000 7583215 7707530 7745536 7808000 7936000 7956160 8002712 8067250 8176684 8199500 8242625 8260864 8377750 8396288 8440448 8464000 8578816 8648000 8698600 8855552 8887700 8979200 9126400 9174400 9324800 9625600 9681920 9945200 10003390 10220855 10326080 10495360 10550560 10723520 10833920 10873250 11069440 11109625 11134208 11224000 11376256 11408000 11468000 11493376 11656000 11743232 11776000 11935744 12032000 12102400 12133144 12332048 12431500 12492800 12729856 12907600 13119200 13188200 13404400 13542400 13836800 13917760 14220320 14366720 14602240 14679040 14919680 15128000 15166430 15415060 15491072 15616000 15872000 15912320 16005424 16134500 16353368 16399000 16485250 16521728 16755500 16792576 16880896 16928000 17157632 17296000 17397200 17775400 17958400 18252800 18348800 18649600 19268825 19363840 19890400 20006780 20441710 20652160 20990720 21101120 21447040 21667840 21746500 22138880 22219250 22268416 22448000 22752512 22816000 22936000 23312000 23486464 23552000 24064000 24204800 24266288 24664096 24863000 25008475 25459712 25815200 26238400 26376400 26808800 27084800 27673600 27835520 28440640 28733440 29204480 29358080 29839360 30256000 30332860 30830120 31232000 31744000 31824640 32010848 32269000 32706736 32798000 32970500 33043456 33511000 33585152 33761792 33856000 34315264 34592000 34794400 35550800 35916800 36505600 36697600 37299200 37916075 38537650 38727680 39780800 40013560 40883420 41304320 41981440 42202240 42894080 43493000 44277760 44438500 44536832 44896000 45505024 45632000 45872000 46624000 47015933 48128000 48409600 48532576 49328192 49726000 50016950 50919424 51104275 51630400 52476800 52752800 53617600 54169600 55347200 55671040 56881280 57466880 58716160 59678720 60512000 60665720 61660240 62464000 63649280 64021696 64538000 65413472 65596000 65941000 66086912 67022000 67170304 67523584 67712000 68630528 69184000 69588800 71101600 71833600 73011200 73395200 74598400 75832150 77075300 77455360 79561600 80027120 81766840 82608640 83962880 84404480 85788160 86986000 88877000 89073664 89792000 91010048 91264000 91744000 93248000 94031866 96344125 96819200 97065152 98656384 99452000 100033900 101838848 102208550 103260800 104953600 105505600 107235200 108339200 110694400 111342080 113762560 117432320 121024000 121331440 123320480 125042375 127298560 128043392 129076000 130826944 131192000 131882000 132173824 134044000 134340608 135047168 135424000 137261056 138368000 139177600 142203200 143667200 146022400 146790400 149196800 151664300 154150600 159123200 160054240 163533680 165217280 167925760 168808960 171576320 173972000 177754000 178147328 179584000 182020096 182528000 183488000 186496000 188063732 189580375 192688250 193638400 194130304 197312768 198904000 200067800 203677696 204417100 206521600 209907200 211011200 214470400 221388800 222684160 227525120 235079665 242048000 242662880 246640960 250084750 254597120 255521375 256086784 258152000 261653888 262384000 263764000 264347648 268088000 270094336 270848000 274522112 276736000 278355200 284406400 287334400 293580800 298393600 303328600 308301200 318246400 320108480 327067360 330434560 335851520 337617920 343152640 347944000 355508000 356294656 359168000 364040192 365056000 366976000 372992000 376127464 379160750 385376500 387276800 388260608 394625536 397808000 400135600 408834200 413043200 419814400 422022400 428940800 445368320 455050240 470159330 484096000 485325760 493281920 500169500 509194240 511042750 512173568 516304000 523307776 524768000 527528000 536176000 540188672 541696000 553472000 556710400 568812800 587161600 606657200 616602400 636492800 640216960 654134720 660869120 671703040 675235840 686305280 695888000 711016000 718336000 728080384 730112000 733952000 745984000 752254928 758321500 770753000 776521216 789251072 795616000 800271200 817668400 826086400 839628800 844044800 857881600 890736640 910100480 940318660 968192000 970651520 986563840 1000339000 1018388480 1022085500 1024347136 1032608000 1046615552 1049536000 1055056000 1072352000 1106944000 1113420800 1137625600 1175398325 1213314400 1233204800 1272985600 1280433920 1308269440 1321738240 1350471680 1372610560 1391776000 1422032000 1436672000 1467904000 1491968000 1504509856 1516643000 1541506000 1553042432 1578502144 1591232000 1600542400 1635336800 1652172800 1679257600 1688089600 1715763200 1781473280 1820200960 1880637320 1936384000 1941303040 1973127680 2000678000 2044171000 2048694272 2065216000 2093231104 2099072000 2110112000 2144704000 2226841600 2275251200 2350796650 2426628800 2466409600 2545971200 2560867840 2616538880 2700943360 2783552000 2844064000 2935808000 3009019712 3033286000 3083012000 3106084864 3157004288 3182464000 3201084800 3270673600 3304345600 3358515200 3376179200 3431526400 3640401920 3761274640 3882606080 3946255360 4001356000 4088342000 4097388544 4130432000 4186462208 4198144000 4220224000 4289408000 4453683200 4550502400 4701593300 4853257600 4932819200 5091942400 5121735680 5233077760 5567104000 5688128000 5876991625 6018039424 6066572000 6166024000 6212169728 6314008576 6364928000 6402169600 6541347200 6608691200 6752358400 6863052800 7522549280 7765212160 7892510720 8002712000 8176684000 8194777088 8260864000 8372924416 8396288000 8440448000 8578816000 8907366400 9101004800 9403186600 9706515200 9865638400 10243471360 10466155520 11134208000 11376256000 11753983250 12036078848 12133144000 12332048000 12424339456 12729856000 12804339200 13082694400 13504716800 15045098560 15530424320 15785021440 16005424000 16353368000 16521728000 16745848832 16792576000 16880896000 17157632000 18202009600 18806373200 19413030400 19731276800 20486942720 20932311040 22268416000 22752512000 23507966500 24072157696 24266288000 24664096000 25459712000 25608678400 26165388800 30090197120 31060848640 31570042880 32010848000 32706736000 33043456000 33761792000 34315264000 37612746400 38826060800 39462553600 40973885440 41864622080 44536832000 45505024000 47015933000 48144315392 48532576000 49328192000 51217356800 52330777600 60180394240 62121697280 64021696000 65413472000 67523584000 75225492800 77652121600 78925107200 83729244160 91010048000 94031866000 96288630784 97065152000 98656384000 102434713600 104661555200 120360788480 128043392000 130826944000 150450985600 155304243200 157850214400 188063732000 192577261568 194130304000 197312768000 204869427200 209323110400 240721576960 256086784000 261653888000 300901971200 310608486400 376127464000 385154523136 388260608000 394625536000 418646220800 481443153920 512173568000 523307776000 601803942400 752254928000 776521216000 789251072000 962886307840 1024347136000 1046615552000 1203607884800 1504509856000 1553042432000 1925772615680 2093231104000 2407215769600 3009019712000 4814431539200 6018039424000 9628863078400 12036078848000 24072157696000 48144315392000
- Sum of all divisors σ(n): 134594113425408
- Sum of proper divisors (its aliquot sum) s(n): 86449798033408
- 48144315392000 is an abundant number, because the sum of its proper divisors (86449798033408) is greater than itself. Its abundance is 38305482641408
Bases of 48144315392000
- Binary: 10101111001001011110001101000100100000000000002
- Hexadecimal: 0x2BC978D12000
- Base-36: H2D6YC268
Squares and roots of 48144315392000
- 48144315392000 squared (481443153920002) is 2317875104564368113664000000
- 48144315392000 cubed (481443153920003) is 111592510073411917229427720716288000000000
-
The
square root of 48144315392000 is 6938610.4799159897 -
The
cube root of 48144315392000 is 36378.7974255229
Scales and comparisons
How big is 48144315392000?- 48,144,315,392,000 seconds is equal to 1,530,840 years, 16 weeks, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 48,144,315,392,000 would take you about three million, eight hundred twenty-seven thousand, one hundred 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 48144315392000 cubic inches would be around 3031.6 feet tall.
Recreational maths with 48144315392000
- 48144315392000 backwards is 00029351344184
- The number of decimal digits it has is: 14
- The sum of 48144315392000's digits is 44
- More coming soon!
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The information we have on file for 48144315392000 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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