48201435795968
48,201,435,795,968 is an even composite number composed of six prime numbers multiplied together.
48201435795968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 48201435795968:
29 × 7 × 13 × 19 × 472 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 47 × 47 × 157 × 157)See below for interesting mathematical facts about the number 48201435795968 from the Numbermatics database.
Names of 48201435795968
- Cardinal: 48201435795968 can be written as Forty-eight trillion, two hundred one billion, four hundred thirty-five million, seven hundred ninety-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8201435795968 × 1013
Factors of 48201435795968
Divisors of 48201435795968
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 47 52 56 64 76 91 94 104 112 128 133 152 157 182 188 208 224 247 256 266 304 314 329 364 376 416 448 494 512 532 608 611 628 658 728 752 832 893 896 988 1064 1099 1216 1222 1256 1316 1456 1504 1664 1729 1786 1792 1976 2041 2128 2198 2209 2432 2444 2512 2632 2912 2983 3008 3328 3458 3572 3584 3952 4082 4256 4277 4396 4418 4864 4888 5024 5264 5824 5966 6016 6251 6656 6916 7144 7379 7904 8164 8512 8554 8792 8836 9728 9776 10048 10528 11609 11648 11932 12032 12502 13832 14287 14288 14758 15463 15808 16328 17024 17108 17584 17672 19552 20096 20881 21056 23218 23296 23864 24064 24649 25004 27664 28574 28576 28717 29516 30926 31616 32656 34048 34216 35168 35344 38779 39104 40192 41762 41971 42112 46436 46592 47728 49298 50008 51653 55328 57148 57152 57434 59032 61852 63232 65312 68096 68432 70336 70688 77558 78208 80384 81263 83524 83942 84224 92872 95456 95927 98596 100016 103306 110656 114296 114304 114868 118064 123704 126464 130624 136864 140201 140672 141376 155116 156416 162526 167048 167884 168448 172543 185744 190912 191854 197192 200032 201019 206612 221312 228592 228608 229736 236128 247408 261248 271453 273728 280402 281344 282752 293797 310232 312832 320437 325052 334096 335768 345086 346813 371488 381824 383708 394384 400064 402038 413224 442624 457184 457216 459472 468331 472256 494816 522496 542906 545623 547456 560804 562688 565504 587594 620464 640874 650104 668192 671489 671536 690172 693626 742976 763648 767416 788768 800128 804076 826448 885248 914368 918944 936662 944512 981407 989632 1044992 1085812 1091246 1094912 1121608 1131008 1158503 1175188 1240928 1281748 1300208 1336384 1342978 1343072 1380344 1387252 1485952 1527296 1534832 1577536 1600256 1608152 1652896 1822613 1828736 1837888 1873324 1889024 1962814 1979264 2171624 2182492 2189824 2243059 2243216 2317006 2350376 2427691 2481856 2563496 2600416 2672768 2685956 2686144 2760688 2774504 2971904 3069664 3155072 3200512 3216304 3278317 3305792 3645226 3657472 3675776 3746648 3778048 3819361 3925628 3958528 4343248 4364984 4486118 4486432 4508569 4634012 4700752 4855382 4963712 5126992 5200832 5345536 5371912 5372288 5521376 5549008 5943808 6088303 6139328 6310144 6432608 6556634 6589447 6611584 7290452 7314944 7351552 7493296 7638722 7851256 7917056 8109521 8686496 8729968 8972236 8972864 9017138 9268024 9401504 9710764 9927424 10253984 10401664 10691072 10743824 10744576 11042752 11098016 12176606 12278656 12620288 12758291 12865216 13113268 13178894 13223168 14580904 14703104 14986592 15060539 15277444 15702512 16219042 17372992 17459936 17944472 17945728 18034276 18536048 18803008 19421528 19854848 20507968 20803328 21487648 21489152 22011557 22085504 22196032 24353212 24557312 25516582 25730432 26226536 26357788 26446336 29161808 29973184 30121078 30554888 31405024 31559983 32438084 34745984 34919872 35888944 35891456 36068552 37072096 37606016 38843056 41015936 41606656 42618121 42975296 44023114 44171008 44392064 46126129 48706424 49114624 51033164 51460864 52453072 52715576 54449641 58323616 59946368 60242156 61109776 62810048 63119966 64876168 69491968 69839744 71777888 71782912 72137104 74144192 75212032 77686112 82031872 85236242 85662811 85950592 88046228 88342016 88784128 92252258 97412848 102066328 102921728 104906144 105423773 105431152 108899282 116647232 119892736 120484312 122219552 125620096 126239932 129752336 138983936 139679488 143555776 144274208 148288384 150424064 154080899 155372224 164063744 170472484 171325622 171901184 176092456 177568256 184504516 194825696 204132656 209812288 210847546 210862304 217798564 233294464 239785472 240968624 244439104 251240192 252479864 259504672 279358976 286150241 287111552 288548416 296576768 308161798 310744448 340944968 342651244 343802368 352184912 369009032 381147487 389651392 408265312 419624576 421695092 421724608 435597128 466588928 481937248 488878208 502480384 504959728 519009344 572300482 574223104 577096832 593153536 599639677 616323596 621488896 681889936 685302488 704369824 707845333 738018064 762294974 779302784 816530624 839249152 843390184 843449216 871194256 933177856 963874496 977756416 1009919456 1034543179 1038018688 1144600964 1148446208 1154193664 1199279354 1232647192 1242977792 1363779872 1370604976 1408739648 1415690666 1476036128 1524589948 1558605568 1633061248 1678498304 1686780368 1686898432 1742388512 1927748992 1955512832 2003051687 2019838912 2069086358 2076037376 2289201928 2308387328 2398558708 2465294384 2727559744 2741209952 2817479296 2831381332 2952072256 3049179896 3117211136 3266122496 3373560736 3373796864 3484777024 3855497984 4006103374 4039677824 4138172716 4152074752 4578403856 4797117416 4930588768 4954917331 5455119488 5482419904 5634958592 5662762664 5904144512 6098359792 6532244992 6747121472 6969554048 7241802253 7710995968 8012206748 8079355648 8276345432 9156807712 9594234832 9861177536 9909834662 10910238976 10964839808 11269917184 11325525328 11808289024 12196719584 13449061327 13494242944 13939108096 14483604506 16024413496 16158711296 16552690864 18313615424 19188469664 19722355072 19819669324 21820477952 21929679616 22651050656 23616578048 24393439168 26898122654 26988485888 27878216192 28967209012 32048826992 33105381728 36627230848 38376939328 39444710144 39639338648 43859359232 45302101312 48786878336 53796245308 53976971776 57934418024 64097653984 66210763456 73254461696 76753878656 78889420288 79278677296 90604202624 94143429289 97573756672 107592490616 115868836048 128195307968 132421526912 146508923392 153507757312 158557354592 181208405248 188286858578 195147513344 215184981232 231737672096 256390615936 264843053824 307015514624 317114709184 362416810496 376573717156 430369962464 463475344192 512781231872 529686107648 634229418368 753147434312 860739924928 926950688384 1025562463744 1268458836736 1506294868624 1721479849856 1853901376768 2536917673472 3012589737248 3442959699712 3707802753536 6025179474496 6885919399424 12050358948992 24100717897984 48201435795968
- Sum of all divisors σ(n): 128300827596480
- Sum of proper divisors (its aliquot sum) s(n): 80099391800512
- 48201435795968 is an abundant number, because the sum of its proper divisors (80099391800512) is greater than itself. Its abundance is 31897956004544
Bases of 48201435795968
- Binary: 10101111010110110001010111010101010010000000002
- Hexadecimal: 0x2BD6C5755200
- Base-36: H33FMCJY8
Squares and roots of 48201435795968
- 48201435795968 squared (482014357959682) is 2323378412792825261725057024
- 48201435795968 cubed (482014357959683) is 111990175393971403793277861938399629279232
-
The
square root of 48201435795968 is 6942725.3867604471 -
The
cube root of 48201435795968 is 36393.1788419793
Scales and comparisons
How big is 48201435795968?- 48,201,435,795,968 seconds is equal to 1,532,656 years, 29 weeks, 1 day, 9 hours, 6 minutes, 8 seconds.
-
To count from 1 to 48,201,435,795,968 would take you about three million, eight hundred thirty-one thousand, six hundred forty-one 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 48201435795968 cubic inches would be around 3032.8 feet tall.
Recreational maths with 48201435795968
- 48201435795968 backwards is 86959753410284
- The number of decimal digits it has is: 14
- The sum of 48201435795968's digits is 71
- More coming soon!
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