48414521344000
48,414,521,344,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 48414521344000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
48414521344000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 48414521344000:
214 × 53 × 73 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 41 × 41 × 41)See below for interesting mathematical facts about the number 48414521344000 from the Numbermatics database.
Names of 48414521344000
- Cardinal: 48414521344000 can be written as Forty-eight trillion, four hundred fourteen billion, five hundred twenty-one million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8414521344 × 1013
Factors of 48414521344000
Divisors of 48414521344000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 343 350 392 400 410 448 490 500 512 560 574 640 656 686 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1372 1400 1435 1568 1600 1640 1681 1715 1750 1792 1960 2000 2009 2048 2050 2240 2296 2450 2560 2624 2744 2800 2870 3136 3200 3280 3362 3430 3500 3584 3920 4000 4018 4096 4100 4480 4592 4900 5120 5125 5248 5488 5600 5740 6125 6272 6400 6560 6724 6860 7000 7168 7175 7840 8000 8036 8192 8200 8405 8575 8960 9184 9800 10045 10240 10250 10496 10976 11200 11480 11767 12250 12544 12800 13120 13448 13720 14000 14063 14336 14350 15680 16000 16072 16384 16400 16810 17150 17920 18368 19600 20090 20480 20500 20992 21952 22400 22960 23534 24500 25088 25600 26240 26896 27440 28000 28126 28672 28700 31360 32000 32144 32800 33620 34300 35840 35875 36736 39200 40180 40960 41000 41984 42025 42875 43904 44800 45920 47068 49000 50176 50225 51200 52480 53792 54880 56000 56252 57344 57400 58835 62720 64000 64288 65600 67240 68600 68921 70315 71680 71750 73472 78400 80360 81920 82000 82369 83968 84050 85750 87808 89600 91840 94136 98000 100352 100450 102400 104960 107584 109760 112000 112504 114688 114800 117670 125440 128000 128576 131200 134480 137200 137842 140630 143360 143500 146944 156800 160720 164000 164738 167936 168100 171500 175616 179200 183680 188272 196000 200704 200900 204800 209920 210125 215168 219520 224000 225008 229600 235340 250880 251125 256000 257152 262400 268960 274400 275684 281260 286720 287000 293888 294175 313600 321440 328000 329476 335872 336200 343000 344605 351232 351575 358400 367360 376544 392000 401408 401800 409600 411845 419840 420250 430336 439040 448000 450016 459200 470680 482447 501760 502250 512000 514304 524800 537920 548800 551368 562520 573440 574000 576583 587776 588350 627200 642880 656000 658952 671744 672400 686000 689210 702464 703150 716800 734720 753088 784000 802816 803600 823690 839680 840500 860672 878080 896000 900032 918400 941360 964894 1003520 1004500 1024000 1028608 1049600 1075840 1097600 1102736 1125040 1148000 1153166 1175552 1176700 1254400 1285760 1312000 1317904 1344800 1372000 1378420 1404928 1406300 1433600 1469440 1470875 1506176 1568000 1607200 1647380 1679360 1681000 1721344 1723025 1756160 1757875 1792000 1800064 1836800 1882720 1929788 2007040 2009000 2048000 2057216 2059225 2099200 2151680 2195200 2205472 2250080 2296000 2306332 2351104 2353400 2412235 2508800 2571520 2624000 2635808 2689600 2744000 2756840 2809856 2812600 2867200 2882915 2938880 2941750 3012352 3136000 3214400 3294760 3358720 3362000 3377129 3442688 3446050 3512320 3515750 3584000 3600128 3673600 3765440 3859576 4014080 4018000 4114432 4118450 4198400 4303360 4390400 4410944 4500160 4592000 4612664 4702208 4706800 4824470 5017600 5143040 5248000 5271616 5379200 5488000 5513680 5619712 5625200 5765830 5877760 5883500 6024704 6272000 6428800 6589520 6724000 6754258 6885376 6892100 7024640 7031500 7168000 7200256 7347200 7530880 7719152 8036000 8228864 8236900 8396800 8606720 8615125 8780800 8821888 9000320 9184000 9225328 9413600 9648940 10035200 10286080 10296125 10496000 10543232 10758400 10976000 11027360 11250400 11531660 11755520 11767000 12049408 12061175 12544000 12857600 13179040 13448000 13508516 13770752 13784200 14049280 14063000 14336000 14400512 14414575 14694400 15061760 15438304 16072000 16457728 16473800 16793600 16885645 17213440 17230250 17561600 17643776 18000640 18368000 18450656 18827200 19297880 20070400 20572160 20592250 20992000 21086464 21516800 21952000 22054720 22500800 23063320 23511040 23534000 23639903 24098816 24122350 25088000 25715200 26358080 26896000 27017032 27541504 27568400 28098560 28126000 28801024 28829150 29388800 30123520 30876608 32144000 32915456 32947600 33771290 34426880 34460500 35123200 35287552 36001280 36736000 36901312 37654400 38595760 41144320 41184500 41984000 42172928 43033600 43904000 44109440 45001600 46126640 47068000 47279806 48197632 48244700 50176000 51430400 52716160 53792000 54034064 55136800 56252000 57602048 57658300 58777600 60247040 60305875 61753216 64288000 65895200 67542580 68853760 68921000 70246400 70575104 72002560 72072875 73472000 73802624 75308800 77191520 82288640 82369000 83968000 84345856 84428225 86067200 87808000 88218880 90003200 92253280 94136000 94559612 96395264 96489400 100352000 102860800 105432320 107584000 108068128 110273600 112504000 115204096 115316600 117555200 118199515 120494080 120611750 123506432 128576000 131790400 135085160 137707520 137842000 140492800 141150208 144005120 144145750 146944000 147605248 150617600 154383040 164577280 164738000 168691712 168856450 172134400 175616000 176437760 180006400 184506560 188272000 189119224 192790528 192978800 205721600 210864640 215168000 216136256 220547200 225008000 230408192 230633200 236399030 240988160 241223500 247012864 257152000 263580800 270170320 275684000 282300416 288010240 288291500 293888000 295210496 301235200 308766080 329476000 337383424 337712900 344268800 351232000 352875520 360012800 369013120 376544000 378238448 385957600 411443200 421729280 422141125 430336000 432272512 441094400 450016000 461266400 472798060 481976320 482447000 494025728 514304000 527161600 540340640 551368000 564600832 576020480 576583000 587776000 590420992 590997575 602470400 617532160 658952000 674766848 675425800 688537600 702464000 705751040 720025600 738026240 753088000 756476896 771915200 822886400 843458560 844282250 860672000 864545024 882188800 900032000 922532800 945596120 963952640 964894000 988051456 1028608000 1054323200 1080681280 1102736000 1129201664 1152040960 1153166000 1180841984 1181995150 1204940800 1235064320 1317904000 1349533696 1350851600 1411502080 1440051200 1476052480 1506176000 1512953792 1543830400 1686917120 1688564500 1721344000 1729090048 1764377600 1800064000 1845065600 1891192240 1929788000 1976102912 2057216000 2108646400 2161362560 2205472000 2306332000 2361683968 2363990300 2409881600 2470128640 2635808000 2701703200 2823004160 2880102400 2952104960 2954987875 3012352000 3025907584 3087660800 3373834240 3377129000 3442688000 3458180096 3528755200 3600128000 3690131200 3782384480 3859576000 3952205824 4114432000 4217292800 4322725120 4410944000 4612664000 4723367936 4727980600 4819763200 4940257280 5271616000 5403406400 5646008320 5760204800 5904209920 5909975750 6024704000 6051815168 6175321600 6747668480 6754258000 6916360192 7057510400 7200256000 7380262400 7564768960 7719152000 7904411648 8434585600 8645450240 8821888000 9225328000 9446735872 9455961200 9880514560 10543232000 10806812800 11808419840 11819951500 12049408000 12103630336 12350643200 13508516000 13832720384 14115020800 14400512000 14760524800 15129537920 15438304000 16869171200 17290900480 17643776000 18450656000 18911922400 19761029120 21086464000 21613625600 23616839680 23639903000 24098816000 24207260672 24701286400 27017032000 27665440768 28230041600 28801024000 29521049600 30259075840 30876608000 33738342400 34581800960 35287552000 36901312000 37823844800 39522058240 42172928000 43227251200 47233679360 47279806000 48414521344 49402572800 54034064000 55330881536 59042099200 60518151680 61753216000 69163601920 70575104000 73802624000 75647689600 84345856000 86454502400 94559612000 96829042688 98805145600 108068128000 118084198400 121036303360 123506432000 138327203840 141150208000 147605248000 151295379200 168691712000 172909004800 189119224000 193658085376 197610291200 216136256000 236168396800 242072606720 247012864000 276654407680 295210496000 302590758400 345818009600 378238448000 387316170752 432272512000 484145213440 494025728000 590420992000 605181516800 691636019200 756476896000 864545024000 968290426880 988051456000 1180841984000 1210363033600 1383272038400 1512953792000 1729090048000 1936580853760 2420726067200 3025907584000 3458180096000 4841452134400 6051815168000 6916360192000 9682904268800 12103630336000 24207260672000 48414521344000
- Sum of all divisors σ(n): 144443017555200
- Sum of proper divisors (its aliquot sum) s(n): 96028496211200
- 48414521344000 is an abundant number, because the sum of its proper divisors (96028496211200) is greater than itself. Its abundance is 47613974867200
Bases of 48414521344000
- Binary: 10110000001000011000100101100011000000000000002
- Hexadecimal: 0x2C086258C000
- Base-36: H5TBNZD34
Squares and roots of 48414521344000
- 48414521344000 squared (484145213440002) is 2343965876968631566336000000
- 48414521344000 cubed (484145213440003) is 113481985980105490986846423875584000000000
-
The
square root of 48414521344000 is 6958054.4223223779 -
The
cube root of 48414521344000 is 36446.7281531899
Scales and comparisons
How big is 48414521344000?- 48,414,521,344,000 seconds is equal to 1,539,432 years, 1 week, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,414,521,344,000 would take you about three million, eight hundred forty-eight thousand, five hundred eighty 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 48414521344000 cubic inches would be around 3037.2 feet tall.
Recreational maths with 48414521344000
- 48414521344000 backwards is 00044312541484
- 48414521344000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48414521344000's digits is 40
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48414521344000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 48414521344000 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/48414521344000/
Chicago style:
Numbermatics. 2024. "Number 48414521344000 - Facts about the integer". https://numbermatics.com/n/48414521344000/
The information we have on file for 48414521344000 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 48414521344000, math, Factors of 48414521344000, curriculum, school, college, exams, university, Prime factorization of 48414521344000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, four hundred fourteen billion, five hundred twenty-one million, three hundred forty-four thousand.