48493442632826880
48,493,442,632,826,880 is an even composite number composed of four prime numbers multiplied together.
What does the number 48493442632826880 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2520 divisors.
48493442632826880 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 48493442632826880:
214 × 313 × 5 × 135
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 48493442632826880 from the Numbermatics database.
Names of 48493442632826880
- Cardinal: 48493442632826880 can be written as Forty-eight quadrillion, four hundred ninety-three trillion, four hundred forty-two billion, six hundred thirty-two million, eight hundred twenty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.849344263282688 × 1016
Factors of 48493442632826880
Divisors of 48493442632826880
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 169 180 192 195 208 216 234 240 243 256 260 270 288 312 320 324 338 351 360 384 390 405 416 432 468 480 486 507 512 520 540 576 585 624 640 648 676 702 720 729 768 780 810 832 845 864 936 960 972 1014 1024 1040 1053 1080 1152 1170 1215 1248 1280 1296 1352 1404 1440 1458 1521 1536 1560 1620 1664 1690 1728 1755 1872 1920 1944 2028 2048 2080 2106 2160 2187 2197 2304 2340 2430 2496 2535 2560 2592 2704 2808 2880 2916 3042 3072 3120 3159 3240 3328 3380 3456 3510 3645 3744 3840 3888 4056 4096 4160 4212 4320 4374 4394 4563 4608 4680 4860 4992 5070 5120 5184 5265 5408 5616 5760 5832 6084 6144 6240 6318 6480 6561 6591 6656 6760 6912 7020 7290 7488 7605 7680 7776 8112 8192 8320 8424 8640 8748 8788 9126 9216 9360 9477 9720 9984 10140 10240 10368 10530 10816 10935 10985 11232 11520 11664 12168 12288 12480 12636 12960 13122 13182 13312 13520 13689 13824 14040 14580 14976 15210 15360 15552 15795 16224 16384 16640 16848 17280 17496 17576 18252 18432 18720 18954 19440 19683 19773 19968 20280 20480 20736 21060 21632 21870 21970 22464 22815 23040 23328 24336 24576 24960 25272 25920 26244 26364 26624 27040 27378 27648 28080 28431 28561 29160 29952 30420 30720 31104 31590 32448 32805 32955 33280 33696 34560 34992 35152 36504 36864 37440 37908 38880 39366 39546 39936 40560 40960 41067 41472 42120 43264 43740 43940 44928 45630 46080 46656 47385 48672 49152 49920 50544 51840 52488 52728 53248 54080 54756 55296 56160 56862 57122 58320 59049 59319 59904 60840 61440 62208 63180 64896 65610 65910 66560 67392 68445 69120 69984 70304 73008 73728 74880 75816 77760 78732 79092 79872 81120 81920 82134 82944 84240 85293 85683 86528 87480 87880 89856 91260 92160 93312 94770 97344 98415 98865 99840 101088 103680 104976 105456 106496 108160 109512 110592 112320 113724 114244 116640 118098 118638 119808 121680 122880 123201 124416 126360 129792 131220 131820 133120 134784 136890 138240 139968 140608 142155 142805 146016 147456 149760 151632 155520 157464 158184 159744 162240 164268 165888 168480 170586 171366 173056 174960 175760 177147 177957 179712 182520 184320 186624 189540 194688 196830 197730 199680 202176 205335 207360 209952 210912 212992 216320 219024 221184 224640 227448 228488 233280 236196 237276 239616 243360 245760 246402 248832 252720 255879 257049 259584 262440 263640 266240 269568 273780 276480 279936 281216 284310 285610 292032 295245 296595 299520 303264 311040 314928 316368 319488 324480 328536 331776 336960 341172 342732 346112 349920 351520 354294 355914 359424 365040 368640 369603 371293 373248 379080 389376 393660 395460 399360 404352 410670 414720 419904 421824 426465 428415 432640 438048 442368 449280 454896 456976 466560 472392 474552 479232 486720 492804 497664 505440 511758 514098 519168 524880 527280 531441 532480 533871 539136 547560 552960 559872 562432 568620 571220 584064 590490 593190 599040 606528 616005 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747248561280 767544201216 779537079360 789281292852 797065132032 809519274720 817502699520 821240709120 831506217984 848945111040 852826890240 863487226368 876979214280 885627924480 896698273536 910709184060 919690536960 923895797760 935444495232 959430251520 971423129664 986601616065 996331415040 1023392268288 1039382772480 1052375057136 1062753509376 1079359032960 1103628644352 1108674957312 1120872841920 1151316301824 1169305619040 1180837232640 1183921939278 1195597698048 1214278912080 1226254049280 1231861063680 1247259326976 1279240335360 1295230839552 1315468821420 1328441886720 1379535805440 1385843696640 1403166742848 1439145377280 1457134694496 1471504859136 1478233276416 1494497122560 1535088402432 1559074158720 1578562585704 1594130264064 1619038549440 1663012435968 1697890222080 1705653780480 1726974452736 1753958428560 1771255848960 1793396547072 1821418368120 1839381073920 1847791595520 1870888990464 1918860503040 1942846259328 1973203232130 1992662830080 2078765544960 2104750114272 2125507018752 2158718065920 2207257288704 2217349914624 2241745683840 2302632603648 2338611238080 2367843878556 2391195396096 2428557824160 2452508098560 2463722127360 2494518653952 2558480670720 2590461679104 2630937642840 2656883773440 2759071610880 2771687393280 2806333485696 2878290754560 2914269388992 2959804848195 2988994245120 3070176804864 3118148317440 3157125171408 3188260528128 3238077098880 3326024871936 3453948905472 3507916857120 3542511697920 3586793094144 3642836736240 3678762147840 3695583191040 3741777980928 3837721006080 3885692518656 3946406464260 3985325660160 4157531089920 4209500228544 4317436131840 4414514577408 4434699829248 4483491367680 4605265207296 4677222476160 4735687757112 4782390792192 4857115648320 4989037307904 5116961341440 5180923358208 5261875285680 5313767546880 5518143221760 5543374786560 5612666971392 5756581509120 5828538777984 5919609696390 5977988490240 6236296634880 6314250342816 6376521056256 6476154197760 6652049743872 6907897810944 7015833714240 7173586188288 7285673472480 7357524295680 7391166382080 7483555961856 7675442012160 7771385037312 7892812928520 7970651320320 8315062179840 8419000457088 8634872263680 8966982735360 9210530414592 9354444952320 9471375514224 9564781584384 9714231296640 9978074615808 10361846716416 10523750571360 10627535093760 11036286443520 11086749573120 11225333942784 11513163018240 11657077555968 11839219392780 11955976980480 12472593269760 12628500685632 12952308395520 13304099487744 13815795621888 14031667428480 14347172376576 14571346944960 14967111923712 15350884024320 15542770074624 15785625857040 15941302640640 16630124359680 16838000914176 17269744527360 17933965470720 18708889904640 18942751028448 19129563168768 19428462593280 19956149231616 20723693432832 21047501142720 22072572887040 22173499146240 22450667885568 23026326036480 23314155111936 23678438785560 23911953960960 24945186539520 25257001371264 25904616791040 27631591243776 28063334856960 28694344753152 29142693889920 29934223847424 31085540149248 31571251714080 31882605281280 33260248719360 33676001828352 34539489054720 35867930941440 37417779809280 37885502056896 38856925186560 39912298463232 41447386865664 42095002285440 44901335771136 46052652072960 46628310223872 47356877571120 47823907921920 49890373079040 50514002742528 51809233582080 56126669713920 57388689506304 58285387779840 59868447694848 62171080298496 63142503428160 66520497438720 67352003656704 69078978109440 71735861882880 74835559618560 75771004113792 77713850373120 82894773731328 84190004570880 89802671542272 93256620447744 94713755142240 95647815843840 99780746158080 101028005485056 103618467164160 112253339427840 116570775559680 119736895389696 124342160596992 126285006856320 134704007313408 138157956218880 143471723765760 149671119237120 151542008227584 155427700746240 168380009141760 179605343084544 186513240895488 189427510284480 199561492316160 202056010970112 207236934328320 224506678855680 233141551119360 248684321193984 252570013712640 269408014626816 286943447531520 299342238474240 303084016455168 310855401492480 336760018283520 359210686169088 373026481790976 378855020568960 404112021940224 414473868656640 449013357711360 466283102238720 505140027425280 538816029253632 598684476948480 606168032910336 621710802984960 673520036567040 746052963581952 757710041137920 808224043880448 898026715422720 932566204477440 1010280054850560 1077632058507264 1212336065820672 1243421605969920 1347040073134080 1515420082275840 1616448087760896 1796053430845440 1865132408954880 2020560109701120 2424672131641344 2694080146268160 3030840164551680 3232896175521792 3730264817909760 4041120219402240 4849344263282688 5388160292536320 6061680329103360 8082240438804480 9698688526565376 12123360658206720 16164480877608960 24246721316413440 48493442632826880
- Sum of all divisors σ(n): 189118575927680112
- Sum of proper divisors (its aliquot sum) s(n): 140625133294853232
- 48493442632826880 is an abundant number, because the sum of its proper divisors (140625133294853232) is greater than itself. Its abundance is 92131690662026352
Bases of 48493442632826880
- Binary: 101011000100100010000111011101100001000011000000000000002
- Hexadecimal: 0xAC48877610C000
- Base-36: D9HHO000000
Squares and roots of 48493442632826880
- 48493442632826880 squared (484934426328268802) is 2351613978383271603111780050534400
- 48493442632826880 cubed (484934426328268803) is 114037857555282972160421338187173056030726684672000
-
The
square root of 48493442632826880 is 220212267.2169442971 -
The
cube root of 48493442632826880 is 364665.2153422403
Scales and comparisons
How big is 48493442632826880?- 48,493,442,632,826,880 seconds is equal to 1,541,941,475 years, 34 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 48,493,442,632,826,880 would take you about four billion, six hundred twenty-five million, eight hundred twenty-four thousand, four hundred twenty-six 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 48493442632826880 cubic inches would be around 30388.8 feet tall.
Recreational maths with 48493442632826880
- 48493442632826880 backwards is 08862823624439484
- 48493442632826880 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48493442632826880's digits is 81
- More coming soon!
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"Number 48493442632826880 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 48493442632826880 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/48493442632826880/
Chicago style:
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The information we have on file for 48493442632826880 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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