48384388648960
48,384,388,648,960 is an even composite number composed of six prime numbers multiplied together.
48384388648960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 48384388648960:
212 × 5 × 72 × 13 × 101 × 36721
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 101 × 36721)See below for interesting mathematical facts about the number 48384388648960 from the Numbermatics database.
Names of 48384388648960
- Cardinal: 48384388648960 can be written as Forty-eight trillion, three hundred eighty-four billion, three hundred eighty-eight million, six hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.838438864896 × 1013
Factors of 48384388648960
Divisors of 48384388648960
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 101 104 112 128 130 140 160 182 196 202 208 224 245 256 260 280 320 364 392 404 416 448 455 490 505 512 520 560 637 640 707 728 784 808 832 896 910 980 1010 1024 1040 1120 1274 1280 1313 1414 1456 1568 1616 1664 1792 1820 1960 2020 2048 2080 2240 2548 2560 2626 2828 2912 3136 3185 3232 3328 3535 3584 3640 3920 4040 4096 4160 4480 4949 5096 5120 5252 5656 5824 6272 6370 6464 6565 6656 7070 7168 7280 7840 8080 8320 8960 9191 9898 10192 10240 10504 11312 11648 12544 12740 12928 13130 13312 14140 14336 14560 15680 16160 16640 17920 18382 19796 20384 20480 21008 22624 23296 24745 25088 25480 25856 26260 26624 28280 28672 29120 31360 32320 33280 35840 36721 36764 39592 40768 42016 45248 45955 46592 49490 50176 50960 51712 52520 53248 56560 58240 62720 64337 64640 66560 71680 73442 73528 79184 81536 84032 90496 91910 93184 98980 100352 101920 103424 105040 113120 116480 125440 128674 129280 133120 143360 146884 147056 158368 163072 168064 180992 183605 183820 186368 197960 200704 203840 206848 210080 226240 232960 250880 257047 257348 258560 266240 293768 294112 316736 321685 326144 336128 361984 367210 367640 372736 395920 407680 413696 420160 452480 465920 477373 501760 514094 514696 517120 587536 588224 633472 643370 652288 672256 723968 734420 735280 791840 815360 840320 904960 931840 954746 1003520 1028188 1029392 1034240 1175072 1176448 1266944 1285235 1286740 1304576 1344512 1447936 1468840 1470560 1583680 1630720 1680640 1799329 1809920 1863680 1909492 2056376 2058784 2068480 2350144 2352896 2386865 2533888 2570470 2573480 2609152 2689024 2895872 2937680 2941120 3167360 3261440 3341611 3361280 3598658 3619840 3708821 3818984 4112752 4117568 4700288 4705792 4773730 5067776 5140940 5146960 5378048 5875360 5882240 6334720 6522880 6683222 6722560 7197316 7239680 7417642 7637968 8225504 8235136 8996645 9400576 9411584 9547460 10135552 10281880 10293920 11750720 11764480 12669440 13045760 13366444 13445120 14394632 14479360 14835284 15275936 16451008 16470272 16708055 17993290 18544105 18801152 18823168 19094920 20271104 20563760 20587840 23391277 23501440 23528960 25338880 25961747 26732888 26890240 28789264 29670568 30551872 32902016 32940544 33416110 35986580 37088210 37602304 37646336 38189840 41127520 41175680 46782554 47002880 47057920 48214673 50677760 51923494 53465776 57578528 59341136 61103744 65804032 65881088 66832220 71973160 74176420 75204608 76379680 82255040 82351360 93565108 94005760 94115840 96429346 101355520 103846988 106931552 115157056 116956385 118682272 122207488 129808735 131608064 131762176 133664440 143946320 148352840 150409216 152759360 164510080 164702720 181732229 187130216 188011520 188231680 192858692 207693976 213863104 230314112 233912770 237364544 241073365 244414976 259617470 263216128 263524352 267328880 287892640 296705680 305518720 329020160 329405440 337502711 363464458 374260432 376023040 385717384 415387952 427726208 460628224 467825540 474729088 482146730 488829952 519234940 526432256 534657760 575785280 593411360 611037440 658040320 658810880 675005422 726928916 748520864 752046080 771434768 830775904 855452416 908661145 921256448 935651080 949458176 964293460 977659904 1038469880 1052864512 1069315520 1151570560 1186822720 1222074880 1316080640 1317621760 1350010844 1453857832 1497041728 1542869536 1661551808 1687513555 1710904832 1817322290 1842512896 1871302160 1898916352 1928586920 1955319808 2076939760 2138631040 2303141120 2362518977 2373645440 2444149760 2632161280 2700021688 2907715664 2994083456 3085739072 3323103616 3375027110 3421809664 3634644580 3685025792 3742604320 3797832704 3857173840 4153879520 4277262080 4606282240 4725037954 4747290880 4888299520 5264322560 5400043376 5815431328 5988166912 6171478144 6646207232 6750054220 6843619328 7269289160 7370051584 7485208640 7595665408 7714347680 8307759040 8554524160 9212564480 9450075908 9494581760 9776599040 10800086752 11630862656 11812594885 11976333824 12342956288 13292414464 13500108440 13687238656 14538578320 14970417280 15191330816 15428695360 16615518080 17109048320 18425128960 18900151816 18989163520 21600173504 23261725312 23625189770 23952667648 24685912576 26584828928 27000216880 29077156640 29940834560 30857390720 33231036160 34218096640 36850257920 37800303632 37978327040 43200347008 46523450624 47250379540 47905335296 49371825152 53169657856 54000433760 58154313280 59881669120 61714781440 66462072320 68436193280 75600607264 75956654080 86400694016 93046901248 94500759080 95810670592 98743650304 106339315712 108000867520 116308626560 119763338240 123429562880 132924144640 151201214528 172801388032 186093802496 189001518160 197487300608 216001735040 232617253120 239526676480 246859125760 265848289280 302402429056 345602776064 372187604992 378003036320 432003470080 465234506240 479053352960 493718251520 531696578560 604804858112 691205552128 744375209984 756006072640 864006940160 930469012480 987436503040 1209609716224 1382411104256 1512012145280 1728013880320 1860938024960 2419219432448 3024024290560 3456027760640 3721876049920 4838438864896 6048048581120 6912055521280 9676877729792 12096097162240 24192194324480 48384388648960
- Sum of all divisors σ(n): 146898569179152
- Sum of proper divisors (its aliquot sum) s(n): 98514180530192
- 48384388648960 is an abundant number, because the sum of its proper divisors (98514180530192) is greater than itself. Its abundance is 50129791881232
Bases of 48384388648960
- Binary: 10110000000001010111100100110001010000000000002
- Hexadecimal: 0x2C015E4C5000
- Base-36: H5FHBR4SG
Squares and roots of 48384388648960
- 48384388648960 squared (483843886489602) is 2341049064933609294109081600
- 48384388648960 cubed (483843886489603) is 113270227804032147505895005963090395136000
-
The
square root of 48384388648960 is 6955888.7749129513 -
The
cube root of 48384388648960 is 36439.1652289751
Scales and comparisons
How big is 48384388648960?- 48,384,388,648,960 seconds is equal to 1,538,473 years, 46 weeks, 4 days, 6 hours, 2 minutes, 40 seconds.
-
To count from 1 to 48,384,388,648,960 would take you about three million, eight hundred forty-six thousand, one hundred eighty-four 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 48384388648960 cubic inches would be around 3036.6 feet tall.
Recreational maths with 48384388648960
- 48384388648960 backwards is 06984688348384
- The number of decimal digits it has is: 14
- The sum of 48384388648960's digits is 79
- More coming soon!
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