48748988288000
48,748,988,288,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48748988288000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
48748988288000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 48748988288000:
210 × 53 × 72 × 11 × 132 × 37 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 13 × 37 × 113)See below for interesting mathematical facts about the number 48748988288000 from the Numbermatics database.
Names of 48748988288000
- Cardinal: 48748988288000 can be written as Forty-eight trillion, seven hundred forty-eight billion, nine hundred eighty-eight million, two hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 4.8748988288 × 1013
Factors of 48748988288000
Divisors of 48748988288000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 49 50 52 55 56 64 65 70 74 77 80 88 91 98 100 104 110 112 113 125 128 130 140 143 148 154 160 169 175 176 182 185 196 200 208 220 224 226 245 250 256 259 260 275 280 286 296 308 320 325 338 350 352 364 370 385 392 400 407 416 440 448 452 455 481 490 500 512 518 520 539 550 560 565 572 592 616 637 640 650 676 700 704 715 728 740 770 784 791 800 814 832 845 875 880 896 904 910 925 962 980 1000 1001 1024 1036 1040 1078 1100 1120 1130 1144 1183 1184 1225 1232 1243 1274 1280 1295 1300 1352 1375 1400 1408 1430 1456 1469 1480 1540 1568 1582 1600 1625 1628 1664 1690 1750 1760 1792 1808 1813 1820 1850 1859 1924 1925 1960 2000 2002 2035 2072 2080 2156 2200 2240 2260 2275 2288 2366 2368 2405 2450 2464 2486 2548 2560 2590 2600 2695 2704 2750 2800 2816 2825 2849 2860 2912 2938 2960 3080 3136 3164 3185 3200 3250 3256 3328 3367 3380 3500 3520 3575 3584 3616 3626 3640 3700 3718 3848 3850 3920 3955 4000 4004 4070 4144 4160 4181 4225 4312 4400 4480 4520 4550 4576 4625 4732 4736 4810 4900 4928 4972 5005 5096 5120 5180 5200 5291 5390 5408 5500 5537 5600 5632 5650 5698 5720 5824 5876 5915 5920 6125 6160 6215 6253 6272 6328 6370 6400 6475 6500 6512 6656 6734 6760 7000 7007 7040 7150 7168 7232 7252 7280 7345 7400 7436 7696 7700 7840 7910 8000 8008 8140 8281 8288 8320 8362 8450 8624 8701 8800 8960 9040 9065 9100 9152 9250 9295 9464 9472 9620 9625 9800 9856 9944 10010 10175 10192 10283 10360 10400 10582 10780 10816 11000 11074 11200 11264 11300 11375 11396 11440 11648 11752 11830 11840 12025 12250 12320 12430 12506 12544 12656 12740 12800 12950 13000 13013 13024 13312 13468 13475 13520 14000 14014 14080 14125 14245 14300 14464 14504 14560 14690 14800 14872 15392 15400 15680 15820 15925 16000 16016 16159 16280 16562 16576 16640 16724 16835 16900 17248 17402 17600 17875 17920 18080 18130 18200 18304 18500 18590 18928 18944 19097 19240 19250 19600 19712 19775 19888 19943 20020 20350 20384 20566 20720 20800 20905 21125 21164 21560 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17110912000 17256279040 17311430500 17410352960 17726904832 18028472000 18088678400 18749610880 18822003200 19042573550 19132256000 19609408000 19784492000 19897546240 20269849600 20586566000 20603968000 21306376000 21428126720 21570348800 21762941200 22158631040 22610848000 23437013600 23527504000 23955276800 24350144000 24374494144 24871932800 25324149760 25337312000 26223232000 26350804480 26785158400 26888576000 26962936000 27203676500 27698288800 27856564736 28845555200 29296267000 29944096000 29999377408 30468117680 30814784000 31089916000 31655187200 32938505600 33185152000 33481448000 34090201600 34622861000 34820705920 35453809664 36056944000 37499221760 37644006400 38085147100 38264512000 39218816000 39568984000 39795092480 41173132000 41207936000 42612752000 43140697600 43525882400 44317262080 45221696000 46874027200 47055008000 47606433875 48700288000 48748988288 49743865600 50674624000 52701608960 53570316800 53925872000 54407353000 55396577600 55713129472 57691110400 58592534000 59888192000 60936235360 61629568000 62179832000 63310374400 65877011200 66962896000 68180403200 69245722000 69641411840 72113888000 74998443520 76170294200 76529024000 79137968000 82346264000 85225504000 86281395200 87051764800 88634524160 90443392000 93748054400 94110016000 95212867750 97497976576 99487731200 101349248000 107140633600 107851744000 108814706000 110793155200 117185068000 119776384000 121872470720 124359664000 126620748800 131754022400 133925792000 138491444000 139282823680 144227776000 149996887040 152340588400 158275936000 164692528000 170451008000 174103529600 177269048320 187496108800 188220032000 190425735500 194995953152 198975462400 215703488000 217629412000 221586310400 234370136000 243744941440 248719328000 263508044800 267851584000 276982888000 278565647360 288455552000 304681176800 316551872000 329385056000 340902016000 348207059200 374992217600 380851471000 389991906304 431406976000 435258824000 443172620800 468740272000 487489882880 497438656000 535703168000 553965776000 609362353600 633103744000 658770112000 696414118400 749984435200 761702942000 870517648000 886345241600 937480544000 974979765760 994877312000 1107931552000 1218724707200 1317540224000 1392828236800 1523405884000 1741035296000 1874961088000 1949959531520 2215863104000 2437449414400 3046811768000 3482070592000 3749922176000 4431726208000 4874898828800 6093623536000 6964141184000 9749797657600 12187247072000 24374494144000 48748988288000
- Sum of all divisors σ(n): 173156213550528
- Sum of proper divisors (its aliquot sum) s(n): 124407225262528
- 48748988288000 is an abundant number, because the sum of its proper divisors (124407225262528) is greater than itself. Its abundance is 75658236974528
Bases of 48748988288000
- Binary: 10110001010110010000100010000101001100000000002
- Hexadecimal: 0x2C5642214C00
- Base-36: HA2Z4YQRK
Squares and roots of 48748988288000
- 48748988288000 squared (487489882880002) is 2376463859103561170944000000
- 48748988288000 cubed (487489882880003) is 115850208834294785701440621903872000000000
-
The
square root of 48748988288000 is 6982047.5713074313 -
The
cube root of 48748988288000 is 36530.4651604247
Scales and comparisons
How big is 48748988288000?- 48,748,988,288,000 seconds is equal to 1,550,067 years, 1 week, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 48,748,988,288,000 would take you about three million, eight hundred seventy-five thousand, one hundred sixty-seven 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 48748988288000 cubic inches would be around 3044.2 feet tall.
Recreational maths with 48748988288000
- 48748988288000 backwards is 00088288984784
- 48748988288000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48748988288000's digits is 74
- More coming soon!
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"Number 48748988288000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 48748988288000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/48748988288000/
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The information we have on file for 48748988288000 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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