48228508876800
48,228,508,876,800 is an even composite number composed of seven prime numbers multiplied together.
48228508876800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 48228508876800:
214 × 3 × 52 × 73 × 17 × 53 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 17 × 53 × 127)See below for interesting mathematical facts about the number 48228508876800 from the Numbermatics database.
Names of 48228508876800
- Cardinal: 48228508876800 can be written as Forty-eight trillion, two hundred twenty-eight billion, five hundred eight million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.82285088768 × 1013
Factors of 48228508876800
Divisors of 48228508876800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 53 56 60 64 68 70 75 80 84 85 96 98 100 102 105 106 112 119 120 127 128 136 140 147 150 159 160 168 170 175 192 196 200 204 210 212 224 238 240 245 254 255 256 265 272 280 294 300 318 320 336 340 343 350 357 371 381 384 392 400 408 420 424 425 448 476 480 490 508 510 512 525 530 544 560 588 595 600 635 636 640 672 680 686 700 714 735 742 762 768 784 795 800 816 833 840 848 850 889 896 901 952 960 980 1016 1020 1024 1029 1050 1060 1088 1113 1120 1176 1190 1200 1225 1270 1272 1275 1280 1325 1344 1360 1372 1400 1428 1470 1484 1524 1536 1568 1590 1600 1632 1666 1680 1696 1700 1715 1778 1785 1792 1802 1855 1904 1905 1920 1960 2032 2040 2048 2058 2100 2120 2159 2176 2226 2240 2352 2380 2400 2450 2499 2540 2544 2550 2560 2597 2650 2667 2688 2703 2720 2744 2800 2856 2940 2968 2975 3048 3072 3136 3175 3180 3200 3264 3332 3360 3392 3400 3430 3556 3570 3584 3604 3675 3710 3808 3810 3840 3920 3975 4064 4080 4096 4116 4165 4200 4240 4318 4352 4445 4452 4480 4505 4704 4760 4800 4900 4998 5080 5088 5100 5120 5145 5194 5300 5334 5376 5406 5440 5488 5565 5600 5712 5831 5880 5936 5950 6096 6144 6223 6272 6307 6350 6360 6400 6477 6528 6664 6720 6731 6784 6800 6860 7112 7140 7168 7208 7350 7420 7616 7620 7680 7791 7840 7950 8128 8160 8192 8232 8330 8400 8480 8575 8636 8704 8890 8904 8925 8960 9010 9275 9408 9520 9525 9600 9800 9996 10160 10176 10200 10240 10290 10388 10600 10668 10752 10795 10812 10880 10976 11130 11200 11424 11662 11760 11872 11900 12192 12288 12446 12495 12544 12614 12700 12720 12800 12954 12985 13056 13328 13335 13440 13462 13515 13568 13600 13720 14224 14280 14336 14416 14700 14840 15113 15232 15240 15360 15582 15680 15900 16256 16320 16384 16464 16660 16800 16960 17150 17272 17408 17493 17780 17808 17850 17920 18020 18179 18550 18669 18816 18921 19040 19050 19200 19600 19992 20193 20320 20352 20400 20480 20580 20776 20825 21200 21336 21504 21590 21624 21760 21952 22225 22260 22400 22525 22848 23324 23520 23744 23800 24384 24576 24892 24990 25088 25228 25400 25440 25600 25725 25908 25970 26112 26656 26670 26880 26924 27030 27136 27200 27440 27825 28448 28560 28672 28832 29155 29400 29680 30226 30464 30480 30720 31115 31164 31360 31535 31800 32385 32512 32640 32928 33320 33600 33655 33920 34300 34544 34816 34986 35560 35616 35700 35840 36040 36358 37100 37338 37632 37842 38080 38100 38400 38955 39200 39984 40386 40640 40704 40800 40960 41160 41552 41650 42400 42672 43008 43180 43248 43520 43561 43904 44149 44450 44520 44800 45050 45339 45696 46648 47040 47117 47488 47600 48768 49152 49784 49980 50176 50456 50800 50880 51200 51450 51816 51940 52224 53312 53340 53760 53848 53975 54060 54272 54400 54537 54880 55650 56896 57120 57344 57664 58310 58800 59360 60452 60928 60960 61440 62230 62328 62475 62720 63070 63600 64770 64925 65024 65280 65856 66640 66675 67200 67310 67575 67840 68600 69088 69632 69972 71120 71232 71400 71680 72080 72716 74200 74676 75264 75565 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150714090240 151661977600 160761696256 164042547200 172244674560 177310694400 181994373120 188392612800 189131407360 189876019200 196851056640 200952120320 202640793600 215305843200 227492966400 229659566080 236414259200 241142544384 246063820800 251190150400 275591479296 283697111040 287074457600 301428180480 303323955200 321523392512 328085094400 344489349120 354621388800 376785225600 379752038400 401904240640 405281587200 430611686400 454985932800 459319132160 472828518400 482285088768 492127641600 502380300800 567394222080 574148915200 602856360960 643046785024 688978698240 709242777600 753570451200 803808481280 861223372800 909971865600 945657036800 964570177536 984255283200 1004760601600 1148297830400 1205712721920 1377957396480 1418485555200 1507140902400 1607616962560 1722446745600 1929140355072 2009521203200 2296595660800 2411425443840 2836971110400 3014281804800 3215233925120 3444893491200 4019042406400 4822850887680 6028563609600 6889786982400 8038084812800 9645701775360 12057127219200 16076169625600 24114254438400 48228508876800
- Sum of all divisors σ(n): 202206257971200
- Sum of proper divisors (its aliquot sum) s(n): 153977749094400
- 48228508876800 is an abundant number, because the sum of its proper divisors (153977749094400) is greater than itself. Its abundance is 105749240217600
Bases of 48228508876800
- Binary: 10101111011101000100110010001111000000000000002
- Hexadecimal: 0x2BDD1323C000
- Base-36: H3FVCYMTC
Squares and roots of 48228508876800
- 48228508876800 squared (482285088768002) is 2325989068479576397578240000
- 48228508876800 cubed (482285088768003) is 112178984436507013370105913862520832000000
-
The
square root of 48228508876800 is 6944674.8575293285 -
The
cube root of 48228508876800 is 36399.9911637059
Scales and comparisons
How big is 48228508876800?- 48,228,508,876,800 seconds is equal to 1,533,517 years, 20 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 48,228,508,876,800 would take you about three million, eight hundred thirty-three thousand, seven hundred ninety-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 48228508876800 cubic inches would be around 3033.3 feet tall.
Recreational maths with 48228508876800
- 48228508876800 backwards is 00867880582284
- The number of decimal digits it has is: 14
- The sum of 48228508876800's digits is 66
- More coming soon!
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Cite this page
MLA style:
"Number 48228508876800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 48228508876800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/48228508876800/
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Numbermatics. 2024. "Number 48228508876800 - Facts about the integer". https://numbermatics.com/n/48228508876800/
The information we have on file for 48228508876800 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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