48734142464000
48,734,142,464,000 is an even composite number composed of four prime numbers multiplied together.
48734142464000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred thirty-six divisors.
Prime factorization of 48734142464000:
222 × 53 × 73 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 271)See below for interesting mathematical facts about the number 48734142464000 from the Numbermatics database.
Names of 48734142464000
- Cardinal: 48734142464000 can be written as Forty-eight trillion, seven hundred thirty-four billion, one hundred forty-two million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.8734142464 × 1013
Factors of 48734142464000
Divisors of 48734142464000
- Number of divisors d(n): 736
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 271 280 320 343 350 392 400 448 490 500 512 542 560 640 686 700 784 800 875 896 980 1000 1024 1084 1120 1225 1280 1355 1372 1400 1568 1600 1715 1750 1792 1897 1960 2000 2048 2168 2240 2450 2560 2710 2744 2800 3136 3200 3430 3500 3584 3794 3920 4000 4096 4336 4480 4900 5120 5420 5488 5600 6125 6272 6400 6775 6860 7000 7168 7588 7840 8000 8192 8575 8672 8960 9485 9800 10240 10840 10976 11200 12250 12544 12800 13279 13550 13720 14000 14336 15176 15680 16000 16384 17150 17344 17920 18970 19600 20480 21680 21952 22400 24500 25088 25600 26558 27100 27440 28000 28672 30352 31360 32000 32768 33875 34300 34688 35840 37940 39200 40960 42875 43360 43904 44800 47425 49000 50176 51200 53116 54200 54880 56000 57344 60704 62720 64000 65536 66395 67750 68600 69376 71680 75880 78400 81920 85750 86720 87808 89600 92953 94850 98000 100352 102400 106232 108400 109760 112000 114688 121408 125440 128000 131072 132790 135500 137200 138752 143360 151760 156800 163840 171500 173440 175616 179200 185906 189700 196000 200704 204800 212464 216800 219520 224000 229376 237125 242816 250880 256000 262144 265580 271000 274400 277504 286720 303520 313600 327680 331975 343000 346880 351232 358400 371812 379400 392000 401408 409600 424928 433600 439040 448000 458752 464765 474250 485632 501760 512000 524288 531160 542000 548800 555008 573440 607040 627200 655360 663950 686000 693760 702464 716800 743624 758800 784000 802816 819200 849856 867200 878080 896000 917504 929530 948500 971264 1003520 1024000 1048576 1062320 1084000 1097600 1110016 1146880 1214080 1254400 1310720 1327900 1372000 1387520 1404928 1433600 1487248 1517600 1568000 1605632 1638400 1659875 1699712 1734400 1756160 1792000 1835008 1859060 1897000 1942528 2007040 2048000 2097152 2124640 2168000 2195200 2220032 2293760 2323825 2428160 2508800 2621440 2655800 2744000 2775040 2809856 2867200 2974496 3035200 3136000 3211264 3276800 3319750 3399424 3468800 3512320 3584000 3670016 3718120 3794000 3885056 4014080 4096000 4194304 4249280 4336000 4390400 4440064 4587520 4647650 4856320 5017600 5242880 5311600 5488000 5550080 5619712 5734400 5948992 6070400 6272000 6422528 6553600 6639500 6798848 6937600 7024640 7168000 7340032 7436240 7588000 7770112 8028160 8192000 8498560 8672000 8780800 8880128 9175040 9295300 9712640 10035200 10485760 10623200 10976000 11100160 11239424 11468800 11619125 11897984 12140800 12544000 12845056 13107200 13279000 13597696 13875200 14049280 14336000 14680064 14872480 15176000 15540224 16056320 16384000 16997120 17344000 17561600 17760256 18350080 18590600 19425280 20070400 20971520 21246400 21952000 22200320 22478848 22937600 23238250 23795968 24281600 25088000 25690112 26214400 26558000 27195392 27750400 28098560 28672000 29360128 29744960 30352000 31080448 32112640 32768000 33994240 34688000 35123200 35520512 36700160 37181200 38850560 40140800 42492800 43904000 44400640 44957696 45875200 46476500 47591936 48563200 50176000 51380224 52428800 53116000 54390784 55500800 56197120 57344000 59489920 60704000 62160896 64225280 65536000 67988480 69376000 70246400 71041024 73400320 74362400 77701120 80281600 84985600 87808000 88801280 89915392 91750400 92953000 95183872 97126400 100352000 102760448 104857600 106232000 108781568 111001600 112394240 114688000 118979840 121408000 124321792 128450560 131072000 135976960 138752000 140492800 142082048 146800640 148724800 155402240 160563200 169971200 175616000 177602560 179830784 183500800 185906000 190367744 194252800 200704000 205520896 212464000 217563136 222003200 224788480 229376000 237959680 242816000 248643584 256901120 262144000 271953920 277504000 280985600 284164096 297449600 310804480 321126400 339942400 351232000 355205120 359661568 367001600 371812000 380735488 388505600 401408000 424928000 435126272 444006400 449576960 458752000 475919360 485632000 497287168 513802240 524288000 543907840 555008000 561971200 568328192 594899200 621608960 642252800 679884800 702464000 710410240 719323136 734003200 743624000 761470976 777011200 802816000 849856000 870252544 888012800 899153920 917504000 951838720 971264000 994574336 1027604480 1087815680 1110016000 1123942400 1136656384 1189798400 1243217920 1284505600 1359769600 1404928000 1420820480 1438646272 1487248000 1522941952 1554022400 1605632000 1699712000 1740505088 1776025600 1798307840 1835008000 1903677440 1942528000 1989148672 2175631360 2220032000 2247884800 2379596800 2486435840 2569011200 2719539200 2809856000 2841640960 2974496000 3045883904 3108044800 3211264000 3399424000 3481010176 3552051200 3596615680 3670016000 3807354880 3885056000 3978297344 4351262720 4440064000 4495769600 4759193600 4972871680 5138022400 5439078400 5619712000 5683281920 5948992000 6091767808 6216089600 6422528000 6798848000 6962020352 7104102400 7193231360 7614709760 7770112000 7956594688 8702525440 8880128000 8991539200 9518387200 9945743360 10878156800 11239424000 11897984000 12183535616 12432179200 12845056000 13597696000 13924040704 14208204800 15229419520 15540224000 17405050880 17760256000 17983078400 19036774400 19891486720 21756313600 22478848000 23795968000 24367071232 24864358400 25690112000 27195392000 27848081408 28416409600 30458839040 31080448000 34810101760 35520512000 35966156800 38073548800 39782973440 43512627200 44957696000 47591936000 48734142464 49728716800 54390784000 55696162816 60917678080 62160896000 69620203520 71041024000 76147097600 87025254400 89915392000 95183872000 97468284928 99457433600 108781568000 121835356160 124321792000 139240407040 142082048000 152294195200 174050508800 179830784000 190367744000 194936569856 198914867200 217563136000 243670712320 248643584000 278480814080 304588390400 348101017600 380735488000 389873139712 435126272000 487341424640 497287168000 609176780800 696202035200 761470976000 870252544000 974682849280 994574336000 1218353561600 1392404070400 1522941952000 1740505088000 1949365698560 2436707123200 3045883904000 3481010176000 4873414246400 6091767808000 6962020352000 9746828492800 12183535616000 24367071232000 48734142464000
- Sum of all divisors σ(n): 142378148889600
- Sum of proper divisors (its aliquot sum) s(n): 93644006425600
- 48734142464000 is an abundant number, because the sum of its proper divisors (93644006425600) is greater than itself. Its abundance is 44909863961600
Bases of 48734142464000
- Binary: 10110001010010110011010100000000000000000000002
- Hexadecimal: 0x2C52CD400000
- Base-36: H9W5M57NK
Squares and roots of 48734142464000
- 48734142464000 squared (487341424640002) is 2375016641701447991296000000
- 48734142464000 cubed (487341424640003) is 115744399371049209762905895993344000000000
-
The
square root of 48734142464000 is 6980984.3477836277 -
The
cube root of 48734142464000 is 36526.7565028213
Scales and comparisons
How big is 48734142464000?- 48,734,142,464,000 seconds is equal to 1,549,594 years, 51 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 48,734,142,464,000 would take you about three million, eight hundred seventy-three thousand, nine hundred eighty-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 48734142464000 cubic inches would be around 3043.9 feet tall.
Recreational maths with 48734142464000
- 48734142464000 backwards is 00046424143784
- The number of decimal digits it has is: 14
- The sum of 48734142464000's digits is 47
- 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 48734142464000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 48734142464000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/48734142464000/
Chicago style:
Numbermatics. 2024. "Number 48734142464000 - Facts about the integer". https://numbermatics.com/n/48734142464000/
The information we have on file for 48734142464000 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 48734142464000, math, Factors of 48734142464000, curriculum, school, college, exams, university, Prime factorization of 48734142464000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, seven hundred thirty-four billion, one hundred forty-two million, four hundred sixty-four thousand.