48121817113728000
48,121,817,113,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48121817113728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3564 divisors.
48121817113728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred sixty-four divisors.
Prime factorization of 48121817113728000:
210 × 32 × 53 × 192 × 312 × 3472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 31 × 31 × 347 × 347)See below for interesting mathematical facts about the number 48121817113728000 from the Numbermatics database.
Names of 48121817113728000
- Cardinal: 48121817113728000 can be written as Forty-eight quadrillion, one hundred twenty-one trillion, eight hundred seventeen billion, one hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.8121817113728 × 1016
Factors of 48121817113728000
Divisors of 48121817113728000
- Number of divisors d(n): 3564
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 32 36 38 40 45 48 50 57 60 62 64 72 75 76 80 90 93 95 96 100 114 120 124 125 128 144 150 152 155 160 171 180 186 190 192 200 225 228 240 248 250 256 279 285 288 300 304 310 320 342 347 360 361 372 375 380 384 400 450 456 465 475 480 496 500 512 558 570 576 589 600 608 620 640 684 694 720 722 744 750 760 768 775 800 855 900 912 930 950 960 961 992 1000 1024 1041 1083 1116 1125 1140 1152 1178 1200 1216 1240 1280 1368 1388 1395 1425 1440 1444 1488 1500 1520 1536 1550 1600 1710 1735 1767 1800 1805 1824 1860 1900 1920 1922 1984 2000 2082 2166 2232 2250 2280 2304 2325 2356 2375 2400 2432 2480 2560 2736 2776 2790 2850 2880 2883 2888 2945 2976 3000 3040 3072 3100 3123 3200 3249 3420 3470 3534 3600 3610 3648 3720 3800 3840 3844 3875 3968 4000 4164 4275 4332 4464 4500 4560 4608 4650 4712 4750 4800 4805 4864 4960 5120 5205 5301 5415 5472 5552 5580 5700 5760 5766 5776 5890 5952 6000 6080 6200 6246 6400 6498 6593 6840 6940 6975 7068 7125 7200 7220 7296 7440 7600 7680 7688 7750 7936 8000 8328 8550 8649 8664 8675 8835 8928 9000 9025 9120 9216 9300 9424 9500 9600 9610 9728 9920 10410 10602 10757 10830 10944 11104 11160 11191 11400 11520 11532 11552 11625 11780 11904 12000 12160 12400 12492 12800 12996 13186 13680 13880 13950 14136 14250 14400 14415 14440 14592 14725 14880 15200 15360 15376 15500 15615 15872 16000 16245 16656 17100 17298 17328 17350 17670 17856 18000 18050 18240 18259 18600 18848 19000 19200 19220 19456 19779 19840 20820 21204 21375 21514 21660 21888 22208 22320 22382 22800 23040 23064 23104 23250 23560 23808 24000 24025 24320 24800 24984 25600 25992 26025 26372 26505 27075 27360 27760 27900 28272 28500 28800 28830 28880 29184 29450 29760 30400 30752 31000 31230 31744 32000 32271 32490 32965 33312 33573 34200 34596 34656 34700 34875 35340 35712 36000 36100 36480 36518 37200 37696 38000 38400 38440 39558 39680 41640 42408 42750 43028 43245 43320 43375 43776 44175 44416 44640 44764 45125 45600 46080 46128 46208 46500 47120 47616 48000 48050 48640 49600 49968 51984 52050 52744 53010 53785 54150 54720 54777 55520 55800 55955 56544 57000 57600 57660 57760 58368 58900 59337 59520 60800 61504 62000 62460 64000 64542 64980 65930 66624 67146 68400 69192 69312 69400 69750 70680 71424 72000 72075 72200 72960 73036 73625 74400 75392 76000 76800 76880 78075 79116 79360 81225 83280 84816 85500 86056 86490 86640 86750 87552 88350 88832 89280 89528 90250 91200 91295 92256 92416 93000 94240 95232 96000 96100 96813 97280 98895 99200 99936 100719 103968 104100 105488 106020 107570 108300 109440 109554 111040 111600 111910 113088 114000 115200 115320 115520 117800 118674 119040 120125 120409 121600 123008 124000 124920 125267 128000 129084 129960 130125 131860 132525 133248 134292 135375 136800 138384 138624 138800 139500 141360 142848 144000 144150 144400 145920 146072 147250 148800 150784 152000 153760 156150 158232 158720 161355 162450 164331 164825 166560 167865 169632 171000 172112 172980 173280 173500 175104 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140707067584000 150380678480400 155231668108800 158295451032000 160406057045760 167089642756000 168848481100800 172479631232000 187975848100500 192487268454912 194039585136000 200507571307200 211060601376000 213874742727680 240609085568640 250634464134000 253272721651200 258719446848000 267343428409600 281414135168000 300761356960800 310463336217600 316590902064000 320812114091520 334179285512000 375951696201000 384974536909824 388079170272000 401015142614400 422121202752000 481218171137280 501268928268000 506545443302400 517438893696000 534686856819200 601522713921600 633181804128000 641624228183040 668358571024000 751903392402000 776158340544000 802030285228800 844242405504000 962436342274560 1002537856536000 1069373713638400 1203045427843200 1266363608256000 1336717142048000 1503806784804000 1552316681088000 1604060570457600 1924872684549120 2005075713072000 2406090855686400 2532727216512000 2673434284096000 3007613569608000 3208121140915200 4010151426144000 4812181711372800 5346868568192000 6015227139216000 8020302852288000 9624363422745600 12030454278432000 16040605704576000 24060908556864000 48121817113728000
- Sum of all divisors σ(n): 189658509283384596
- Sum of proper divisors (its aliquot sum) s(n): 141536692169656596
- 48121817113728000 is an abundant number, because the sum of its proper divisors (141536692169656596) is greater than itself. Its abundance is 93414875055928596
Bases of 48121817113728000
- Binary: 101010101111011010001001101001110000001010010100000000002
- Hexadecimal: 0xAAF689A7029400
- Base-36: D5TRDLD0JK0
Squares and roots of 48121817113728000
- 48121817113728000 squared (481218171137280002) is 2315709282327085020486057984000000
- 48121817113728000 cubed (481218171137280003) is 111436138572706304759766058567275330404352000000000
-
The
square root of 48121817113728000 is 219366855.0937629685 -
The
cube root of 48121817113728000 is 363731.2982783295
Scales and comparisons
How big is 48121817113728000?- 48,121,817,113,728,000 seconds is equal to 1,530,124,933 years, 34 weeks, 3 days, 8 hours.
-
To count from 1 to 48,121,817,113,728,000 would take you about four billion, five hundred ninety million, three hundred seventy-four thousand, eight hundred 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 48121817113728000 cubic inches would be around 30310.9 feet tall.
Recreational maths with 48121817113728000
- 48121817113728000 backwards is 00082731171812184
- The number of decimal digits it has is: 17
- The sum of 48121817113728000's digits is 54
- More coming soon!
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"Number 48121817113728000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 48121817113728000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/48121817113728000/
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The information we have on file for 48121817113728000 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!
Keywords: Divisors of 48121817113728000, math, Factors of 48121817113728000, curriculum, school, college, exams, university, Prime factorization of 48121817113728000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred twenty-one trillion, eight hundred seventeen billion, one hundred thirteen million, seven hundred twenty-eight thousand.