48636391928832000
48,636,391,928,832,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 48636391928832000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 3136 divisors.
48636391928832000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three thousand, one hundred thirty-six divisors.
Prime factorization of 48636391928832000:
213 × 313 × 53 × 313
(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 × 5 × 5 × 31 × 31 × 31)See below for interesting mathematical facts about the number 48636391928832000 from the Numbermatics database.
Names of 48636391928832000
- Cardinal: 48636391928832000 can be written as Forty-eight quadrillion, six hundred thirty-six trillion, three hundred ninety-one billion, nine hundred twenty-eight million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.8636391928832 × 1016
Factors of 48636391928832000
Divisors of 48636391928832000
- Number of divisors d(n): 3136
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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 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 250 256 270 279 288 300 310 320 324 360 372 375 384 400 405 432 450 465 480 486 496 500 512 540 558 576 600 620 640 648 675 720 729 744 750 768 775 800 810 837 864 900 930 960 961 972 992 1000 1024 1080 1116 1125 1152 1200 1215 1240 1280 1296 1350 1395 1440 1458 1488 1500 1536 1550 1600 1620 1674 1728 1800 1860 1920 1922 1944 1984 2000 2025 2048 2160 2187 2232 2250 2304 2325 2400 2430 2480 2511 2560 2592 2700 2790 2880 2883 2916 2976 3000 3072 3100 3200 3240 3348 3375 3456 3600 3645 3720 3840 3844 3875 3888 3968 4000 4050 4096 4185 4320 4374 4464 4500 4608 4650 4800 4805 4860 4960 5022 5120 5184 5400 5580 5760 5766 5832 5952 6000 6075 6144 6200 6400 6480 6561 6696 6750 6912 6975 7200 7290 7440 7533 7680 7688 7750 7776 7936 8000 8100 8192 8370 8640 8649 8748 8928 9000 9216 9300 9600 9610 9720 9920 10044 10125 10240 10368 10800 10935 11160 11520 11532 11625 11664 11904 12000 12150 12288 12400 12555 12800 12960 13122 13392 13500 13824 13950 14400 14415 14580 14880 15066 15360 15376 15500 15552 15872 16000 16200 16740 17280 17298 17496 17856 18000 18225 18432 18600 19200 19220 19440 19683 19840 20088 20250 20480 20736 20925 21600 21870 22320 22599 23040 23064 23250 23328 23808 24000 24025 24300 24576 24800 25110 25600 25920 25947 26244 26784 27000 27648 27900 28800 28830 29160 29760 29791 30132 30375 30720 30752 31000 31104 31744 32000 32400 32805 33480 34560 34596 34875 34992 35712 36000 36450 36864 37200 37665 38400 38440 38880 39366 39680 40176 40500 40960 41472 41850 43200 43245 43740 44640 45198 46080 46128 46500 46656 47616 48000 48050 48600 49600 50220 51200 51840 51894 52488 53568 54000 54675 55296 55800 57600 57660 58320 59049 59520 59582 60264 60750 61440 61504 62000 62208 62775 63488 64000 64800 65610 66960 67797 69120 69192 69750 69984 71424 72000 72075 72900 73728 74400 75330 76800 76880 77760 77841 78732 79360 80352 81000 82944 83700 86400 86490 87480 89280 89373 90396 91125 92160 92256 93000 93312 95232 96000 96100 97200 98415 99200 100440 102400 103680 103788 104625 104976 107136 108000 109350 110592 111600 112995 115200 115320 116640 118098 119040 119164 120125 120528 121500 122880 123008 124000 124416 125550 126976 128000 129600 129735 131220 133920 135594 138240 138384 139500 139968 142848 144000 144150 145800 148800 148955 150660 153600 153760 155520 155682 157464 158720 160704 162000 164025 165888 167400 172800 172980 174960 177147 178560 178746 180792 182250 184320 184512 186000 186624 188325 190464 192000 192200 194400 196830 198400 200880 203391 204800 207360 207576 209250 209952 214272 216000 216225 218700 221184 223200 225990 230400 230640 233280 233523 236196 238080 238328 240250 241056 243000 246016 248000 248832 251100 253952 256000 259200 259470 262440 267840 268119 271188 273375 276480 276768 279000 279936 285696 288000 288300 291600 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196114483584000 200149761024000 202651633036800 216161741905920 225168481152000 243181959644160 253314541296000 261485978112000 270202177382400 300224641536000 303977449555200 313783173734400 324242612858880 337752721728000 360269569843200 379971811944000 389091135430656 392228967168000 405303266073600 450336962304000 486363919288320 506629082592000 522971956224000 540404354764800 600449283072000 607954899110400 648485225717760 675505443456000 759943623888000 784457934336000 810606532147200 900673924608000 972727838576640 1013258165184000 1080808709529600 1215909798220800 1351010886912000 1519887247776000 1568915868672000 1621213064294400 1801347849216000 1945455677153280 2026516330368000 2431819596441600 2702021773824000 3039774495552000 3242426128588800 4053032660736000 4863639192883200 5404043547648000 6079548991104000 8106065321472000 9727278385766400 12159097982208000 16212130642944000 24318195964416000 48636391928832000
- Sum of all divisors σ(n): 188152745373785088
- Sum of proper divisors (its aliquot sum) s(n): 139516353444953088
- 48636391928832000 is an abundant number, because the sum of its proper divisors (139516353444953088) is greater than itself. Its abundance is 90879961516121088
Bases of 48636391928832000
- Binary: 101011001100101010001010011100000001001100100000000000002
- Hexadecimal: 0xACCA8A70132000
- Base-36: DAW5U000000
Squares and roots of 48636391928832000
- 48636391928832000 squared (486363919288320002) is 2365498619854954513352884224000000
- 48636391928832000 cubed (486363919288320003) is 115049317982376745075762708642781743546368000000000
-
The
square root of 48636391928832000 is 220536599.9756775065 -
The
cube root of 48636391928832000 is 365023.1846881203
Scales and comparisons
How big is 48636391928832000?- 48,636,391,928,832,000 seconds is equal to 1,546,486,821 years, 5 weeks, 1 day.
-
To count from 1 to 48,636,391,928,832,000 would take you about four billion, six hundred thirty-nine million, four hundred sixty thousand, four hundred sixty-three 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 48636391928832000 cubic inches would be around 30418.6 feet tall.
Recreational maths with 48636391928832000
- 48636391928832000 backwards is 00023882919363684
- 48636391928832000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48636391928832000's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 48636391928832000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 48636391928832000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/48636391928832000/
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Numbermatics. 2024. "Number 48636391928832000 - Facts about the integer". https://numbermatics.com/n/48636391928832000/
The information we have on file for 48636391928832000 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 48636391928832000, math, Factors of 48636391928832000, curriculum, school, college, exams, university, Prime factorization of 48636391928832000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, six hundred thirty-six trillion, three hundred ninety-one billion, nine hundred twenty-eight million, eight hundred thirty-two thousand.