48342438144
48,342,438,144 is an even composite number composed of seven prime numbers multiplied together.
48342438144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 48342438144:
28 × 34 × 7 × 11 × 13 × 17 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 17 × 137)See below for interesting mathematical facts about the number 48342438144 from the Numbermatics database.
Names of 48342438144
- Cardinal: 48342438144 can be written as Forty-eight billion, three hundred forty-two million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8342438144 × 1010
Factors of 48342438144
Divisors of 48342438144
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 27 28 32 33 34 36 39 42 44 48 51 52 54 56 63 64 66 68 72 77 78 81 84 88 91 96 99 102 104 108 112 117 119 126 128 132 136 137 143 144 153 154 156 162 168 176 182 187 189 192 198 204 208 216 221 224 231 234 238 252 256 264 272 273 274 286 288 297 306 308 312 324 336 351 352 357 364 374 378 384 396 408 411 416 429 432 442 448 459 462 468 476 504 528 544 546 548 561 567 572 576 594 612 616 624 648 663 672 693 702 704 714 728 748 756 768 792 816 819 822 832 858 864 884 891 896 918 924 936 952 959 1001 1008 1053 1056 1071 1088 1092 1096 1122 1134 1144 1152 1188 1224 1232 1233 1248 1287 1296 1309 1326 1344 1377 1386 1404 1408 1428 1456 1496 1507 1512 1547 1584 1632 1638 1644 1664 1683 1716 1728 1768 1781 1782 1792 1836 1848 1872 1904 1918 1989 2002 2016 2079 2106 2112 2142 2176 2184 2192 2244 2268 2288 2304 2329 2376 2431 2448 2457 2464 2466 2496 2574 2592 2618 2652 2688 2754 2772 2808 2816 2856 2877 2912 2992 3003 3014 3024 3094 3168 3213 3264 3276 3288 3328 3366 3432 3456 3536 3562 3564 3672 3696 3699 3744 3808 3836 3861 3927 3978 4004 4032 4158 4212 4224 4284 4352 4368 4384 4488 4521 4536 4576 4641 4658 4752 4862 4896 4914 4928 4932 4992 5049 5148 5184 5236 5304 5343 5376 5508 5544 5616 5712 5754 5824 5967 5984 6006 6028 6048 6188 6237 6336 6426 6528 6552 6576 6732 6864 6912 6987 7072 7124 7128 7293 7344 7371 7392 7398 7488 7616 7672 7722 7854 7956 8008 8064 8316 8424 8448 8568 8631 8736 8768 8976 9009 9042 9072 9152 9282 9316 9504 9639 9724 9792 9828 9856 9864 9984 10098 10296 10368 10472 10549 10608 10686 11016 11088 11097 11232 11424 11508 11583 11648 11781 11934 11968 12012 12056 12096 12376 12467 12474 12672 12852 13056 13104 13152 13464 13563 13728 13923 13974 14144 14248 14256 14586 14688 14742 14784 14796 14976 15147 15232 15344 15444 15708 15912 16016 16029 16128 16303 16632 16848 17017 17136 17262 17472 17536 17901 17952 18018 18084 18144 18304 18564 18632 19008 19278 19448 19584 19591 19656 19712 19728 20196 20592 20736 20944 20961 21098 21216 21372 21879 22032 22176 22194 22464 22848 23016 23166 23296 23562 23868 23936 24024 24112 24192 24752 24934 24948 25344 25619 25704 25893 26208 26304 26928 27027 27126 27456 27846 27948 28288 28496 28512 29172 29376 29484 29568 29592 29952 30277 30294 30464 30688 30888 31416 31647 31824 32032 32058 32606 33264 33696 34034 34272 34524 34944 35072 35343 35802 35904 36036 36168 36288 36608 37128 37264 37401 38016 38556 38896 39168 39182 39312 39456 40392 40689 41184 41769 41888 41922 42196 42432 42744 43758 44064 44352 44388 44928 45696 46032 46332 47124 47736 47872 48048 48087 48224 48384 48909 49504 49868 49896 51051 51238 51408 51786 52416 52608 53856 54054 54252 54912 55692 55896 56576 56992 57024 58344 58752 58773 58968 59136 59184 60554 60588 61376 61776 62832 62883 63294 63648 64064 64116 65212 65637 66528 67392 68068 68544 69048 69888 70686 71604 71808 72072 72336 72576 74256 74528 74802 76032 76857 77112 77679 77792 78364 78624 78912 80784 81081 81378 82368 83538 83776 83844 84392 84864 85488 87516 88128 88704 88776 89856 90831 91392 92064 92664 94248 94941 95472 96096 96174 96448 97818 99008 99736 99792 102102 102476 102816 103572 104832 105216 106029 107712 108108 108504 109824 111384 111792 112203 113984 114048 116688 117504 117546 117936 118368 121108 121176 122067 122752 123552 125307 125664 125766 126588 127296 128128 128232 130424 131274 133056 134784 136136 137088 137137 138096 141372 143208 143616 144144 144261 144672 145152 146727 148512 149056 149604 153153 153714 154224 155358 155584 156728 157248 157824 161568 162162 162756 164736 167076 167552 167688 168784 169728 170976 175032 176256 176319 177408 177552 179333 181662 184128 185328 188496 188649 189882 190944 192192 192348 192896 195636 196911 198016 199472 199584 204204 204952 205632 207144 209664 211939 212058 215424 216216 217008 222768 223584 224406 227968 228096 230571 233376 235092 235872 236736 242216 242352 244134 245504 247104 250614 251328 251532 253176 254592 256256 256464 260848 262548 266112 269568 272272 272493 274176 274274 276192 282744 284823 286416 288288 288522 289344 293454 297024 298112 299208 306306 307428 308448 310716 311168 313456 314496 315648 323136 324324 325512 329472 333047 334152 335104 335376 336609 337568 341952 350064 352512 352638 355104 358666 363324 368256 370656 376992 377298 379764 381888 384384 384696 385792 391272 393822 396032 398944 399168 408408 409904 411264 411411 414288 423878 424116 430848 432432 434016 440181 445536 447168 448812 455936 459459 461142 466752 470184 471744 473472 484432 484704 488268 494208 501228 502656 503064 506352 509184 512928 521696 525096 528957 532224 537999 544544 544986 548548 552384 565488 569646 572832 576576 577044 578688 586908 594048 596224 598416 612612 614856 616896 621432 622336 626912 628992 635817 646272 648648 651024 666094 668304 670752 673218 675136 683904 691713 700128 705276 710208 717332 726648 736512 741312 753984 754596 759528 763776 768768 769392 782544 787644 797888 798336 816816 817479 819808 822528 822822 828576 847756 848232 854469 864864 868032 880362 891072 894336 897624 918918 922284 933504 940368 943488 946944 968864 969408 976536 988416 999141 1002456 1005312 1006128 1009827 1012704 1025856 1043392 1050192 1057914 1075998 1089088 1089972 1097096 1104768 1130976 1139292 1145664 1153152 1154088 1157376 1173816 1188096 1196832 1225224 1229712 1233792 1234233 1242864 1253824 1271634 1292544 1297296 1302048 1320543 1332188 1336608 1341504 1346436 1350272 1367808 1378377 1383426 1400256 1410552 1420416 1434664 1453296 1482624 1507968 1509192 1519056 1527552 1538784 1565088 1575288 1586871 1595776 1596672 1613997 1633632 1634958 1639616 1645644 1657152 1695512 1696464 1708938 1729728 1736064 1760724 1782144 1788672 1795248 1837836 1844568 1867008 1880736 1886976 1907451 1937728 1938816 1953072 1998282 2004912 2012256 2019654 2025408 2051712 2075139 2086784 2100384 2115828 2151996 2178176 2179944 2194192 2209536 2261952 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7351344 7378272 7405398 7522944 7629804 7750912 7812288 7993128 8019648 8049024 8078616 8101632 8300556 8401536 8463312 8607984 8719776 8776768 8992269 9047808 9114336 9232704 9325316 9390528 9574656 9683982 9801792 9809748 9837696 9873864 9942912 10173072 10378368 10416384 10564344 10657504 10692864 10771488 11027016 11067408 11108097 11284416 11444706 11477312 11626368 11989692 12073536 12152448 12310272 12520704 12602304 12694968 12911976 13069056 13079664 13165152 13564096 13571712 13671504 13987974 14085792 14361984 14525973 14702688 14756544 14810796 15045888 15259608 15624576 15986256 16039296 16098048 16157232 16601112 16803072 16926624 17167059 17215968 17439552 17553536 17984538 18228672 18465408 18650632 18781056 19367964 19603584 19619496 19675392 19747728 19885824 20346144 20756736 20981961 21128688 21315008 21542976 22054032 22134816 22216194 22568832 22889412 22954624 23252736 23979384 24147072 24304896 25204608 25389936 25823952 26159328 26330304 26976807 27128192 27143424 27343008 27975948 28171584 28723968 29051946 29405376 29513088 29621592 30519216 31249152 31972512 32078592 32314464 33202224 33853248 34334118 34431936 34879104 35107072 35969076 36457344 36930816 37301264 37562112 38735928 39207168 39238992 39495456 40692288 41963922 42257376 42630016 43085952 44108064 44269632 44432388 45137664 45778824 45909248 47958768 48294144 50409216 50779872 51647904 52318656 52660608 53953614 54256384 54686016 55951896 56343168 58103892 58810752 59026176 59243184 61038432 62945883 63945024 64628928 66404448 67706496 68668236 68863872 69758208 71938152 72914688 74602528 77471856 78477984 78990912 81384576 83927844 84514752 85260032 86171904 88216128 88539264 88864776 91557648 95917536 101559744 103295808 104637312 105321216 107907228 109372032 111903792 112686336 116207784 117621504 118486368 122076864 125891766 127890048 129257856 132808896 135412992 137336472 137727744 143876304 149205056 154943712 156955968 157981824 162769152 167855688 169029504 176432256 177078528 177729552 183115296 188837649 191835072 203119488 206591616 209274624 215814456 218744064 223807584 232415568 236972736 244153728 251783532 255780096 258515712 265617792 274672944 287752608 298410112 309887424 313911936 315963648 335711376 338059008 352864512 355459104 366230592 377675298 383670144 406238976 413183232 431628912 447615168 464831136 473945472 488307456 503567064 531235584 549345888 575505216 596820224 619774848 627823872 671422752 710918208 732461184 755350596 767340288 863257824 895230336 929662272 947890944 1007134128 1098691776 1151010432 1239549696 1342845504 1421836416 1464922368 1510701192 1726515648 1790460672 1859324544 2014268256 2197383552 2302020864 2685691008 2843672832 3021402384 3453031296 3718649088 4028536512 4394767104 5371382016 6042804768 6906062592 8057073024 12085609536 16114146048 24171219072 48342438144
- Sum of all divisors σ(n): 206422546176
- Sum of proper divisors (its aliquot sum) s(n): 158080108032
- 48342438144 is an abundant number, because the sum of its proper divisors (158080108032) is greater than itself. Its abundance is 109737669888
Bases of 48342438144
- Binary: 1011010000010110111100010001000000002
- Hexadecimal: 0xB416F1100
- Base-36: M7HU800
Squares and roots of 48342438144
- 48342438144 squared (483424381442) is 2336991325706466164736
- 48342438144 cubed (483424381443) is 112975858606029397669578994089984
-
The
square root of 48342438144 is 219869.1386802613 -
The
cube root of 48342438144 is 3642.8630953853
Scales and comparisons
How big is 48342438144?- 48,342,438,144 seconds is equal to 1,537 years, 7 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 48,342,438,144 would take you about three thousand and seventy-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 48342438144 cubic inches would be around 303.6 feet tall.
Recreational maths with 48342438144
- 48342438144 backwards is 44183424384
- The number of decimal digits it has is: 11
- The sum of 48342438144's digits is 45
- More coming soon!
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The information we have on file for 48342438144 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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