48380644485734400
48,380,644,485,734,400 is an even composite number composed of six prime numbers multiplied together.
48380644485734400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 48380644485734400:
213 × 32 × 52 × 72 × 7332 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 733 × 733 × 997)See below for interesting mathematical facts about the number 48380644485734400 from the Numbermatics database.
Names of 48380644485734400
- Cardinal: 48380644485734400 can be written as Forty-eight quadrillion, three hundred eighty trillion, six hundred forty-four billion, four hundred eighty-five million, seven hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.83806444857344 × 1016
Factors of 48380644485734400
Divisors of 48380644485734400
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 350 360 384 392 400 420 441 448 450 480 490 504 512 525 560 576 588 600 630 640 672 700 720 733 735 768 784 800 840 882 896 900 960 980 997 1008 1024 1050 1120 1152 1176 1200 1225 1260 1280 1344 1400 1440 1466 1470 1536 1568 1575 1600 1680 1764 1792 1800 1920 1960 1994 2016 2048 2100 2199 2205 2240 2304 2352 2400 2450 2520 2560 2688 2800 2880 2932 2940 2991 3072 3136 3150 3200 3360 3528 3584 3600 3665 3675 3840 3920 3988 4032 4096 4200 4398 4410 4480 4608 4704 4800 4900 4985 5040 5120 5131 5376 5600 5760 5864 5880 5982 6144 6272 6300 6400 6597 6720 6979 7056 7168 7200 7330 7350 7680 7840 7976 8064 8192 8400 8796 8820 8960 8973 9216 9408 9600 9800 9970 10080 10240 10262 10752 10995 11025 11200 11520 11728 11760 11964 12288 12544 12600 12800 13194 13440 13958 14112 14336 14400 14660 14700 14955 15360 15393 15680 15952 16128 16800 17592 17640 17920 17946 18325 18432 18816 19200 19600 19940 20160 20480 20524 20937 21504 21990 22050 22400 23040 23456 23520 23928 24576 24925 25088 25200 25600 25655 26388 26880 27916 28224 28672 28800 29320 29400 29910 30720 30786 31360 31904 32256 32985 33600 34895 35184 35280 35840 35892 35917 36650 36864 37632 38400 39200 39880 40320 40960 41048 41874 43008 43980 44100 44800 44865 46080 46179 46912 47040 47856 48853 49850 50176 50400 51200 51310 52776 53760 54975 55832 56448 57344 57600 58640 58800 59820 61440 61572 62720 62811 63808 64512 65970 67200 69790 70368 70560 71680 71784 71834 73300 73728 74775 75264 76800 76965 78400 79760 80640 82096 83748 86016 87960 88200 89600 89730 92160 92358 93824 94080 95712 97706 99700 100352 100800 102400 102620 104685 105552 107520 107751 109950 111664 112896 115200 117280 117600 119640 122880 123144 125440 125622 127616 128275 129024 131940 134400 139580 140736 141120 143360 143568 143668 146559 146600 149550 150528 153600 153930 156800 159520 161280 164192 164925 167496 172032 174475 175920 176400 179200 179460 179585 184320 184716 187648 188160 191424 195412 199400 200704 201600 204800 205240 209370 211104 215040 215502 219900 223328 224325 225792 230400 230895 234560 235200 239280 244265 246288 250880 251244 255232 256550 258048 263880 268800 279160 281472 282240 286720 287136 287336 293118 293200 299100 301056 307200 307860 313600 314055 319040 322560 323253 328384 329850 334992 348950 351840 352800 358400 358920 359170 368640 369432 375296 376320 382848 384825 390824 398800 401408 403200 410480 418740 422208 430080 431004 439677 439800 446656 448650 451584 460800 461790 469120 470400 478560 488530 492576 501760 502488 510464 513100 516096 523425 527760 537289 537600 538755 558320 562944 564480 574272 574672 586236 586400 598200 602112 614400 615720 627200 628110 638080 645120 646506 656768 659700 669984 697900 703680 705600 716800 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1347012403200 1347950643200 1349906375160 1371333460480 1375075161600 1386463518720 1439900133504 1466746839040 1499895972400 1516444473600 1542750143040 1571514470400 1574890771020 1617540771840 1645600152576 1650090193920 1679883489088 1687382968950 1714166825600 1733079398400 1799875166880 1833433548800 1885817364480 1889868925224 1919866844672 1928437678800 1941048926208 1968613463775 2021925964800 2057000190720 2062612742400 2099854361360 2159850200256 2194133536768 2200120258560 2249843958600 2310772531200 2357271705600 2362336156530 2399833555840 2426311157760 2468400228864 2519825233632 2571250238400 2624817951700 2640144310272 2695901286400 2699812750320 2742666920960 2750150323200 2879800267008 2999791944800 3032888947200 3085500286080 3143028940800 3149781542040 3235081543680 3291200305152 3300180387840 3359766978176 3374765937900 3428333651200 3466158796800 3599750333760 3666867097600 3779737850448 3839733689344 3856875357600 3937226927550 4043851929600 4114000381440 4125225484800 4199708722720 4319700400512 4388267073536 4400240517120 4499687917200 4714543411200 4724672313060 4799667111680 4852622315520 4936800457728 5039650467264 5142500476800 5249635903400 5391802572800 5399625500640 5485333841920 5500300646400 5759600534016 5905840391325 5999583889600 6065777894400 6171000572160 6299563084080 6582400610304 6600360775680 6719533956352 6749531875800 6856667302400 6932317593600 7199500667520 7333734195200 7559475700896 7679467378688 7713750715200 7874453855100 8087703859200 8228000762880 8250450969600 8399417445440 8639400801024 8999375834400 9429086822400 9449344626120 9599334223360 9705244631040 9873600915456 10079300934528 10285000953600 10499271806800 10799251001280 10970667683840 11000601292800 11519201068032 11811680782650 11999167779200 12131555788800 12342001144320 12599126168160 13164801220608 13200721551360 13439067912704 13499063751600 13713334604800 14399001335040 15118951401792 15358934757376 15427501430400 15748907710200 16175407718400 16456001525760 16500901939200 16798834890880 17278801602048 17998751668800 18898689252240 19198668446720 19747201830912 20158601869056 20570001907200 20998543613600 21598502002560 21941335367680 22001202585600 23038402136064 23623361565300 23998335558400 24263111577600 24684002288640 25198252336320 26878135825408 26998127503200 27426669209600 28798002670080 30237902803584 30717869514752 30855002860800 31497815420400 32912003051520 33001803878400 33597669781760 34557603204096 35997503337600 37797378504480 38397336893440 39494403661824 40317203738112 41140003814400 41997087227200 43197004005120 46076804272128 47246723130600 47996671116800 48526223155200 49368004577280 50396504672640 53756271650816 53996255006400 54853338419200 57596005340160 60475805607168 61710005721600 62995630840800 65824006103040 66003607756800 67195339563520 69115206408192 71995006675200 75594757008960 76794673786880 80634407476224 82280007628800 83994174454400 86394008010240 92153608544256 94493446261200 95993342233600 98736009154560 100793009345280 107512543301632 107992510012800 109706676838400 115192010680320 120951611214336 123420011443200 125991261681600 134390679127040 138230412816384 143990013350400 151189514017920 153589347573760 161268814952448 164560015257600 167988348908800 172788016020480 188986892522400 191986684467200 197472018309120 201586018690560 215025086603264 215985020025600 230384021360640 241903222428672 246840022886400 251982523363200 268781358254080 276460825632768 287980026700800 302379028035840 322537629904896 329120030515200 335976697817600 345576032040960 377973785044800 383973368934400 403172037381120 431970040051200 460768042721280 483806444857344 493680045772800 503965046726400 537562716508160 575960053401600 604758056071680 645075259809792 671953395635200 691152064081920 755947570089600 767946737868800 806344074762240 863940080102400 967612889714688 987360091545600 1007930093452800 1075125433016320 1151920106803200 1209516112143360 1343906791270400 1382304128163840 1511895140179200 1612688149524480 1727880160204800 1935225779429376 2015860186905600 2303840213606400 2419032224286720 2687813582540800 3023790280358400 3225376299048960 3455760320409600 4031720373811200 4838064448573440 5375627165081600 6047580560716800 6911520640819200 8063440747622400 9676128897146880 12095161121433600 16126881495244800 24190322242867200 48380644485734400
- Sum of all divisors σ(n): 202071337533311922
- Sum of proper divisors (its aliquot sum) s(n): 153690693047577522
- 48380644485734400 is an abundant number, because the sum of its proper divisors (153690693047577522) is greater than itself. Its abundance is 105310048561843122
Bases of 48380644485734400
- Binary: 101010111110000111110000100110001001001110100000000000002
- Hexadecimal: 0xABE1F09893A000
- Base-36: D8DI98VKZK0
Squares and roots of 48380644485734400
- 48380644485734400 squared (483806444857344002) is 2340686760855022405845107343360000
- 48380644485734400 cubed (483806444857344003) is 113243934029392054001073452810615632202563584000000
-
The
square root of 48380644485734400 is 219956005.7960100347 -
The
cube root of 48380644485734400 is 364382.2527219943
Scales and comparisons
How big is 48380644485734400?- 48,380,644,485,734,400 seconds is equal to 1,538,354,843 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 48,380,644,485,734,400 would take you about four billion, six hundred fifteen million, sixty-four thousand, five hundred thirty 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 48380644485734400 cubic inches would be around 30365.2 feet tall.
Recreational maths with 48380644485734400
- 48380644485734400 backwards is 00443758444608384
- 48380644485734400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48380644485734400's digits is 72
- More coming soon!
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"Number 48380644485734400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 48380644485734400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/48380644485734400/
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The information we have on file for 48380644485734400 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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