48108968150400
48,108,968,150,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 48108968150400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
48108968150400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 48108968150400:
27 × 310 × 52 × 31 × 43 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 43 × 191)See below for interesting mathematical facts about the number 48108968150400 from the Numbermatics database.
Names of 48108968150400
- Cardinal: 48108968150400 can be written as Forty-eight trillion, one hundred eight billion, nine hundred sixty-eight million, one hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 4.81089681504 × 1013
Factors of 48108968150400
Divisors of 48108968150400
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 43 45 48 50 54 60 62 64 72 75 80 81 86 90 93 96 100 108 120 124 128 129 135 144 150 155 160 162 172 180 186 191 192 200 215 216 225 240 243 248 258 270 279 288 300 310 320 324 344 360 372 382 384 387 400 405 430 432 450 465 480 486 496 516 540 558 573 576 600 620 640 645 648 675 688 720 729 744 764 774 775 800 810 837 860 864 900 930 955 960 972 992 1032 1075 1080 1116 1146 1152 1161 1200 1215 1240 1290 1296 1333 1350 1376 1395 1440 1458 1488 1528 1548 1550 1600 1620 1674 1719 1720 1728 1800 1860 1910 1920 1935 1944 1984 2025 2064 2150 2160 2187 2232 2292 2322 2325 2400 2430 2480 2511 2580 2592 2666 2700 2752 2790 2865 2880 2916 2976 3056 3096 3100 3200 3225 3240 3348 3438 3440 3456 3483 3600 3645 3720 3820 3870 3888 3968 3999 4050 4128 4185 4300 4320 4374 4464 4584 4644 4650 4775 4800 4860 4960 5022 5157 5160 5184 5332 5400 5504 5580 5730 5760 5805 5832 5921 5952 6075 6112 6192 6200 6450 6480 6561 6665 6696 6876 6880 6966 6975 7200 7290 7440 7533 7640 7740 7776 7998 8100 8213 8256 8370 8595 8600 8640 8748 8928 9168 9288 9300 9550 9600 9675 9720 9920 10044 10314 10320 10368 10449 10664 10800 10935 11160 11460 11610 11664 11842 11904 11997 12150 12224 12384 12400 12555 12900 12960 13122 13330 13392 13752 13760 13932 13950 14325 14400 14580 14880 15066 15280 15471 15480 15552 15996 16200 16426 16512 16740 17190 17200 17280 17415 17496 17763 17856 18225 18336 18576 18600 19100 19350 19440 19683 19840 19995 20088 20628 20640 20898 20925 21328 21600 21870 22320 22599 22920 23220 23328 23684 23994 24300 24448 24639 24768 24800 25110 25785 25800 25920 26244 26660 26784 27504 27520 27864 27900 28650 28800 29025 29160 29605 29760 30132 30560 30942 30960 31104 31347 31992 32400 32805 32852 33325 33480 34380 34400 34830 34992 35526 35712 35991 36450 36672 37152 37200 37665 38200 38700 38880 39366 39990 40176 41065 41256 41280 41796 41850 42656 42975 43200 43740 44640 45198 45840 46413 46440 46656 47368 47988 48600 49278 49536 49600 50220 51570 51600 51840 52245 52488 53289 53320 53568 54675 55008 55728 55800 57300 58050 58320 59049 59210 59520 59985 60264 61120 61884 61920 62694 62775 63984 64800 65610 65704 66650 66960 67797 68760 68800 69660 69984 71052 71982 72900 73344 73917 74304 74400 75330 76400 77355 77400 77760 78732 79980 80352 82130 82512 82560 83592 83700 85312 85950 86400 87075 87480 88815 89280 90396 91680 92826 92880 93312 94041 94736 95976 97200 98415 98556 99200 99975 100440 103140 103200 104490 104976 106578 106640 107136 107973 109350 110016 111456 111600 112995 114600 116100 116640 118098 118420 119970 120528 122240 123195 123768 123840 125388 125550 127968 128925 129600 131220 131408 133300 133920 135594 137520 137600 139239 139320 139968 142104 143964 145800 147834 148025 148608 148800 150660 152800 154710 154800 155520 156735 157464 159867 159960 160704 164025 164260 165024 167184 167400 170624 171900 174150 174960 177630 178560 179955 180792 183360 185652 185760 188082 188325 189472 191952 194400 196830 197112 199950 200880 203391 205325 206280 206400 208980 209952 213156 213280 215946 218700 220032 221751 222912 223200 225990 229200 232065 232200 233280 236196 236840 239940 241056 246390 247536 247680 250776 251100 254603 255936 257850 259200 261225 262440 262816 266445 266600 267840 271188 275040 278478 278640 279936 282123 284208 287928 291600 295245 295668 296050 297600 299925 301320 305600 309420 309600 313470 314928 319734 319920 321408 323919 328050 328520 330048 334368 334800 338985 343800 348300 349920 355260 359910 361584 366720 369585 371304 371520 376164 376650 378944 383904 386775 388800 393660 394224 399900 401760 406782 410650 412560 412800 417717 417960 419904 426312 426560 431892 437400 443502 444075 445824 446400 451980 458400 464130 464400 466560 470205 472392 473680 479601 479880 482112 492075 492780 495072 501552 502200 509206 511872 515700 522450 524880 525632 532890 533200 535680 539865 542376 550080 556956 557280 564246 564975 568416 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1113633522 1119464064 1127835900 1149557184 1151042400 1165430430 1166108400 1171532160 1197455400 1203024960 1222094400 1237370580 1243125792 1259397072 1277285760 1293251832 1294922700 1311871950 1319861952 1336694400 1347137325 1354190400 1374856200 1381250880 1398516516 1399330080 1436946480 1443629952 1464415200 1466513280 1484844696 1503781200 1534723200 1546713225 1553907240 1554811200 1574246340 1596607200 1616564790 1625028480 1649827440 1657501056 1670450283 1679196096 1724335776 1726563600 1748145645 1749162600 1796183100 1804537440 1833141600 1856055870 1864688688 1865773440 1915928640 1939877748 1942384050 1952553600 1967807925 1979792928 2005041600 2031285600 2062284300 2071876320 2098995120 2128809600 2155419720 2199769920 2227267044 2255671800 2299114368 2302084800 2330860860 2332216800 2394910800 2406049920 2424847185 2444188800 2474741160 2486251584 2518794144 2586503664 2589845400 2623743900 2639723904 2694274650 2708380800 2749712400 2762501760 2784083805 2797033032 2798660160 2873892960 2913576075 2928830400 2969689392 3007562400 3093426450 3107814480 3109622400 3148492680 3193214400 3233129580 3299654880 3340900566 3358392192 3448671552 3453127200 3496291290 3498325200 3592366200 3609074880 3666283200 3712111740 3729377376 3831857280 3879755496 3884768100 3935615850 3959585856 4010083200 4041411975 4062571200 4124568600 4143752640 4197990240 4310839440 4399539840 4454534088 4511343600 4604169600 4640139675 4661721720 4664433600 4789821600 4849694370 4949482320 4972503168 5011350849 5037588288 5173007328 5179690800 5247487800 5388549300 5499424800 5568167610 5594066064 5597320320 5747785920 5827152150 5857660800 5939378784 6015124800 6186852900 6215628960 6296985360 6386428800 6466259160 6599309760 6681801132 6897343104 6906254400 6992582580 6996650400 7184732400 7218149760 7332566400 7424223480 7458754752 7759510992 7769536200 7871231700 7919171712 8082823950 8125142400 8249137200 8287505280 8352251415 8395980480 8621678880 8740728225 8909068176 9022687200 9280279350 9323443440 9328867200 9579643200 9699388740 9898964640 10022701698 10075176576 10346014656 10359381600 10494975600 10777098600 10998849600 11136335220 11188132128 11495571840 11654304300 11878757568 12030249600 12124235925 12373705800 12431257920 12593970720 12932518320 13198619520 13363602264 13812508800 13920419025 13985165160 13993300800 14369464800 14848446960 14917509504 15034052547 15519021984 15539072400 15742463400 16165647900 16498274400 16704502830 16791960960 17243357760 17481456450 17818136352 18045374400 18560558700 18646886880 19159286400 19398777480 19797929280 20045403396 20692029312 20718763200 20989951200 21554197200 21997699200 22272670440 22376264256 23308608600 23757515136 24248471850 24747411600 24862515840 25056754245 25187941440 25865036640 26727204528 27840838050 27970330320 27986601600 28738929600 29696893920 30068105094 31038043968 31078144800 31484926800 32331295800 32996548800 33409005660 34486715520 34962912900 35636272704 36090748800 37121117400 37293773760 38797554960 39595858560 40090806792 41437526400 41761257075 41979902400 43108394400 44545340880 44752528512 46617217200 48496943700 49494823200 50113508490 50375882880 51730073280 53454409056 55681676100 55940660640 57477859200 59393787840 60136210188 62076087936 62156289600 62969853600 64662591600 65993097600 66818011320 69925825800 71272545408 74242234800 74587547520 75170262735 77595109920 80181613584 83522514150 83959804800 86216788800 89090681760 93234434400 96993887400 98989646400 100227016980 103460146560 106908818112 111363352200 111881321280 118787575680 120272420376 124312579200 125283771225 125939707200 129325183200 133636022640 139851651600 148484469600 150340525470 155190219840 160363227168 167045028300 172433577600 178181363520 186468868800 193987774800 197979292800 200454033960 213817636224 222726704400 223762642560 240544840752 250567542450 251879414400 258650366400 267272045280 279703303200 296968939200 300681050940 310380439680 320726454336 334090056600 356362727040 372937737600 375851313675 387975549600 400908067920 445453408800 481089681504 501135084900 517300732800 534544090560 559406606400 593937878400 601362101880 641452908672 668180113200 751702627350 775951099200 801816135840 890906817600 962179363008 1002270169800 1069088181120 1118813212800 1202724203760 1336360226400 1503405254700 1551902198400 1603632271680 1781813635200 1924358726016 2004540339600 2405448407520 2672720452800 3006810509400 3207264543360 4009080679200 4810896815040 5345440905600 6013621018800 8018161358400 9621793630080 12027242037600 16036322716800 24054484075200 48108968150400
- Sum of all divisors σ(n): 189281039523840
- Sum of proper divisors (its aliquot sum) s(n): 141172071373440
- 48108968150400 is an abundant number, because the sum of its proper divisors (141172071373440) is greater than itself. Its abundance is 93063103223040
Bases of 48108968150400
- Binary: 10101111000001001111011111010100000101100000002
- Hexadecimal: 0x2BC13DF50580
- Base-36: H1WYDI000
Squares and roots of 48108968150400
- 48108968150400 squared (481089681504002) is 2314472816496201597020160000
- 48108968150400 cubed (481089681504003) is 111346899013782346353620492986712064000000
-
The
square root of 48108968150400 is 6936062.8709953313 -
The
cube root of 48108968150400 is 36369.8922207095
Scales and comparisons
How big is 48108968150400?- 48,108,968,150,400 seconds is equal to 1,529,716 years, 19 weeks, 4 days.
-
To count from 1 to 48,108,968,150,400 would take you about three million, eight hundred twenty-four thousand, two hundred ninety 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 48108968150400 cubic inches would be around 3030.8 feet tall.
Recreational maths with 48108968150400
- 48108968150400 backwards is 00405186980184
- 48108968150400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48108968150400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 48108968150400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 48108968150400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/48108968150400/
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The information we have on file for 48108968150400 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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