48743125728000
48,743,125,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48743125728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
48743125728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48743125728000:
28 × 3 × 53 × 11 × 23 × 149 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 23 × 149 × 13469)See below for interesting mathematical facts about the number 48743125728000 from the Numbermatics database.
Names of 48743125728000
- Cardinal: 48743125728000 can be written as Forty-eight trillion, seven hundred forty-three billion, one hundred twenty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.8743125728 × 1013
Factors of 48743125728000
Divisors of 48743125728000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 44 46 48 50 55 60 64 66 69 75 80 88 92 96 100 110 115 120 125 128 132 138 149 150 160 165 176 184 192 200 220 230 240 250 253 256 264 275 276 298 300 320 330 345 352 368 375 384 400 440 447 460 480 500 506 528 550 552 575 596 600 640 660 690 704 736 745 750 759 768 800 825 880 894 920 960 1000 1012 1056 1100 1104 1150 1192 1200 1265 1280 1320 1375 1380 1408 1472 1490 1500 1518 1600 1639 1650 1725 1760 1788 1840 1920 2000 2024 2112 2200 2208 2235 2300 2384 2400 2530 2640 2750 2760 2816 2875 2944 2980 3000 3036 3200 3278 3300 3427 3450 3520 3576 3680 3725 3795 3840 4000 4048 4125 4224 4400 4416 4470 4600 4768 4800 4917 5060 5280 5500 5520 5750 5888 5960 6000 6072 6325 6400 6556 6600 6854 6900 7040 7152 7360 7450 7590 8000 8096 8195 8250 8448 8625 8800 8832 8940 9200 9536 9600 9834 10120 10281 10560 11000 11040 11175 11500 11920 12000 12144 12650 13112 13200 13469 13708 13800 14080 14304 14720 14900 15180 16000 16192 16390 16500 17135 17250 17600 17664 17880 18400 18625 18975 19072 19200 19668 20240 20562 21120 22000 22080 22350 23000 23840 24000 24288 24585 25300 26224 26400 26938 27416 27600 28608 29440 29800 30360 31625 32000 32384 32780 33000 34270 34500 35200 35760 36800 37250 37697 37950 38144 39336 40407 40480 40975 41124 42240 44000 44160 44700 46000 47680 48000 48576 49170 50600 51405 52448 52800 53876 54832 55200 55875 57216 59600 60720 63250 64768 65560 66000 67345 68540 69000 70400 71520 73600 74500 75394 75900 78672 80814 80960 81950 82248 85675 88000 88320 89400 92000 94875 95360 96000 97152 98340 101200 102810 104896 105600 107752 109664 110400 111750 113091 114432 119200 121440 122925 126500 131120 132000 134690 137080 138000 143040 147200 148159 149000 150788 151800 157344 161628 161920 163900 164496 171350 176000 178800 184000 188485 189750 190720 194304 196680 202035 202400 204875 205620 209792 211200 215504 219328 220800 223500 226182 238400 242880 245850 253000 257025 262240 264000 269380 274160 276000 286080 296318 298000 301576 303600 309787 314688 323256 323840 327800 328992 336725 342700 352000 357600 368000 376970 379500 393360 404070 404800 409750 411240 419584 428375 431008 438656 441600 444477 447000 452364 476800 485760 491700 506000 514050 524480 528000 538760 548320 552000 565455 572160 592636 596000 603152 607200 614625 619574 629376 646512 655600 657984 673450 685400 715200 736000 740795 753940 759000 786720 808140 809600 819500 822480 856750 862016 877312 888954 894000 904728 929361 942425 953600 971520 983400 1010175 1012000 1028100 1048960 1056000 1077520 1096640 1104000 1130910 1185272 1192000 1206304 1214400 1229250 1239148 1258752 1285125 1293024 1311200 1315968 1346900 1370800 1430400 1481590 1507880 1518000 1548935 1573440 1616280 1619200 1639000 1644960 1683625 1713500 1724032 1777908 1788000 1809456 1858722 1884850 1966800 2006881 2020350 2024000 2056200 2097920 2155040 2193280 2208000 2222385 2261820 2370544 2384000 2412608 2428800 2458500 2478296 2570250 2586048 2622400 2631936 2693800 2741600 2827275 2860800 2963180 3015760 3036000 3097870 3146880 3232560 3278000 3289920 3367250 3407657 3427000 3448064 3555816 3576000 3618912 3703975 3717444 3769700 3933600 4013762 4040700 4048000 4112400 4310080 4386560 4444770 4523640 4646805 4712125 4741088 4768000 4825216 4857600 4917000 4956592 5050875 5140500 5172096 5244800 5387600 5483200 5654550 5926360 6020643 6031520 6072000 6195740 6293760 6465120 6556000 6579840 6734500 6815314 6854000 7111632 7152000 7237824 7407950 7434888 7539400 7744675 7867200 8027524 8081400 8096000 8224800 8620160 8889540 9047280 9293610 9424250 9482176 9650432 9834000 9913184 10034405 10101750 10222971 10281000 10344192 10489600 10775200 10966400 11111925 11309100 11852720 12041286 12063040 12144000 12391480 12930240 13112000 13159680 13469000 13630628 13708000 14136375 14223264 14304000 14475648 14815900 14869776 15078800 15489350 15734400 16055048 16162800 16449600 17038285 17240320 17779080 18094560 18519875 18587220 18848500 18964352 19668000 19826368 20068810 20203500 20445942 20562000 21550400 21932800 22075691 22223850 22618200 23234025 23705440 24082572 24126080 24288000 24782960 25860480 26224000 26938000 27261256 27416000 28272750 28446528 28951296 29631800 29739552 30103215 30157600 30978700 31468800 32110096 32325600 32899200 34076570 35558160 36189120 37039750 37174440 37697000 37928704 38723375 39336000 39652736 40137620 40407000 40891884 41124000 43100800 44151382 44447700 45236400 46158263 46468050 47410880 48165144 48252160 49565920 50172025 51114855 51720960 52448000 53876000 54522512 54832000 55559625 56545500 56893056 59263600 59479104 60206430 60315200 61957400 64220192 64651200 65798400 66227073 68153140 71116320 72378240 74079500 74348880 75394000 77446750 78672000 79305472 80275240 80814000 81783768 82248000 85191425 86201600 88302764 88895400 90472800 92316526 92936100 94821760 96330288 99131840 100344050 102229710 107752000 109045024 109664000 110378455 111119250 113091000 113786112 116170125 118527200 118958208 120412860 120630400 123914800 128440384 129302400 132454146 136306280 138474789 142232640 144756480 148159000 148697760 150516075 150788000 154893500 157344000 160550480 161628000 163567536 164496000 170382850 176605528 177790800 180945600 184633052 185872200 189643520 192660576 198263680 200688100 204459420 215504000 218090048 220756910 222238500 226182000 230791315 232340250 237054400 237916416 240825720 241260800 247829600 250860125 255574275 256880768 258604800 264908292 272612560 276949578 284465280 296318000 297395520 301032150 301576000 309787000 321100960 323256000 327135072 328992000 331135365 340765700 353211056 355581600 361891200 369266104 371744400 385321152 396527360 401376200 408918840 425957125 431008000 436180096 441513820 444477000 452364000 461582630 464680500 474108800 481651440 495659200 501720250 507740893 511148550 513761536 529816584 545225120 551892275 553899156 568930560 592636000 594791040 602064300 603152000 619574000 642201920 646512000 654270144 662270730 681531400 692373945 706422112 711163200 723782400 738532208 743488800 752580375 770642304 802752400 817837680 851914250 872360192 883027640 888954000 904728000 923165260 929361000 948217600 963302880 991318400 1003440500 1015481786 1022297100 1059633168 1090450240 1103784550 1107798312 1153956575 1185272000 1189582080 1204128600 1206304000 1239148000 1277871375 1284403840 1293024000 1308540288 1324541460 1363062800 1384747890 1412844224 1422326400 1477064416 1486977600 1505160750 1523222679 1541284608 1605504800 1635675360 1655676825 1703828500 1766055280 1777908000 1809456000 1846330520 1858722000 1926605760 1982636800 2006881000 2030963572 2044594200 2119266336 2180900480 2207569100 2215596624 2307913150 2370544000 2408257200 2478296000 2538704465 2555742750 2568807680 2617080576 2649082920 2726125600 2759461375 2769495780 2825688448 2844652800 2954128832 2973955200 3010321500 3046445358 3211009600 3271350720 3311353650 3407657000 3461869725 3532110560 3555816000 3618912000 3692661040 3717444000 3853211520 4013762000 4061927144 4089188400 4238532672 4361800960 4415138200 4431193248 4615826300 4741088000 4816514400 4956592000 5077408930 5111485500 5298165840 5452251200 5518922750 5538991560 5651376896 5769782875 5908257664 5947910400 6020643000 6092890716 6422019200 6542701440 6622707300 6815314000 6923739450 7064221120 7111632000 7385322080 7434888000 7616113395 7706423040 8027524000 8123854288 8178376800 8278384125 8477065344 8830276400 8862386496 9231652600 9633028800 9913184000 10154817860 10222971000 10596331680 10904502400 11037845500 11077983120 11539565750 11816515328 12041286000 12185781432 12693522325 12844038400 13085402880 13245414600 13630628000 13847478900 14128442240 14223264000 14770644160 14869776000 15232226790 16055048000 16247708576 16356753600 16556768250 16954130688 17309348625 17660552800 17724772992 18463305200 19266057600 20309635720 20445942000 21192663360 21809004800 22075691000 22155966240 23079131500 24082572000 24371562864 25387044650 26490829200 27261256000 27694957800 28256884480 29541288320 29739552000 30464453580 32110096000 32495417152 32713507200 33113536500 34618697250 35321105600 35449545984 36926610400 38080566975 38532115200 40619271440 40891884000 42385326720 44151382000 44311932480 46158263000 48165144000 48743125728 50774089300 52981658400 54522512000 55389915600 59082576640 60928907160 63467611625 64220192000 64990834304 65427014400 66227073000 69237394500 70642211200 73853220800 76161133950 81238542880 81783768000 84770653440 88302764000 88623864960 92316526000 96330288000 97486251456 101548178600 105963316800 109045024000 110779831200 121857814320 126935223250 129981668608 132454146000 138474789000 141284422400 147706441600 152322267900 162477085760 163567536000 176605528000 177247729920 184633052000 190402834875 192660576000 194972502912 203096357200 211926633600 221559662400 243715628640 253870446500 264908292000 276949578000 295412883200 304644535800 324954171520 327135072000 353211056000 369266104000 380805669750 389945005824 406192714400 423853267200 443119324800 487431257280 507740893000 529816584000 553899156000 609289071600 649908343040 706422112000 738532208000 761611339500 812385428800 886238649600 974862514560 1015481786000 1059633168000 1107798312000 1218578143200 1477064416000 1523222679000 1624770857600 1949725029120 2030963572000 2119266336000 2215596624000 2437156286400 3046445358000 3249541715200 4061927144000 4431193248000 4874312572800 6092890716000 8123854288000 9748625145600 12185781432000 16247708576000 24371562864000 48743125728000
- Sum of all divisors σ(n): 185548237056000
- Sum of proper divisors (its aliquot sum) s(n): 136805111328000
- 48743125728000 is an abundant number, because the sum of its proper divisors (136805111328000) is greater than itself. Its abundance is 88061985600000
Bases of 48743125728000
- Binary: 10110001010100111001001011000110111011000000002
- Hexadecimal: 0x2C54E4B1BB00
- Base-36: HA0A6JQIO
Squares and roots of 48743125728000
- 48743125728000 squared (487431257280002) is 2375892305735615529984000000
- 48743125728000 cubed (487431257280003) is 115808417374658923305479465828352000000000
-
The
square root of 48743125728000 is 6981627.7276864313 -
The
cube root of 48743125728000 is 36529.0007154727
Scales and comparisons
How big is 48743125728000?- 48,743,125,728,000 seconds is equal to 1,549,880 years, 32 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 48,743,125,728,000 would take you about three million, eight hundred seventy-four thousand, seven hundred 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 48743125728000 cubic inches would be around 3044.1 feet tall.
Recreational maths with 48743125728000
- 48743125728000 backwards is 00082752134784
- The number of decimal digits it has is: 14
- The sum of 48743125728000's digits is 51
- More coming soon!
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The information we have on file for 48743125728000 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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