1971988480000
1,971,988,480,000 is an even composite number composed of six prime numbers multiplied together.
1971988480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 1971988480000:
214 × 54 × 7 × 11 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 41 × 61)See below for interesting mathematical facts about the number 1971988480000 from the Numbermatics database.
Names of 1971988480000
- Cardinal: 1971988480000 can be written as One trillion, nine hundred seventy-one billion, nine hundred eighty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.97198848 × 1012
Factors of 1971988480000
Divisors of 1971988480000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 41 44 50 55 56 61 64 70 77 80 82 88 100 110 112 122 125 128 140 154 160 164 175 176 200 205 220 224 244 250 256 275 280 287 305 308 320 328 350 352 385 400 410 427 440 448 451 488 500 512 550 560 574 610 616 625 640 656 671 700 704 770 800 820 854 875 880 896 902 976 1000 1024 1025 1100 1120 1148 1220 1232 1250 1280 1312 1342 1375 1400 1408 1435 1525 1540 1600 1640 1708 1750 1760 1792 1804 1925 1952 2000 2048 2050 2135 2200 2240 2255 2296 2440 2464 2500 2501 2560 2624 2684 2750 2800 2816 2870 3050 3080 3157 3200 3280 3355 3416 3500 3520 3584 3608 3850 3904 4000 4096 4100 4270 4375 4400 4480 4510 4592 4697 4880 4928 5000 5002 5120 5125 5248 5368 5500 5600 5632 5740 6100 6160 6314 6400 6560 6710 6832 6875 7000 7040 7168 7175 7216 7625 7700 7808 8000 8192 8200 8540 8750 8800 8960 9020 9184 9394 9625 9760 9856 10000 10004 10240 10250 10496 10675 10736 11000 11200 11264 11275 11480 12200 12320 12505 12628 12800 13120 13420 13664 13750 14000 14080 14336 14350 14432 15250 15400 15616 15785 16000 16384 16400 16775 17080 17500 17507 17600 17920 18040 18368 18788 19250 19520 19712 20000 20008 20480 20500 20992 21350 21472 22000 22400 22528 22550 22960 23485 24400 24640 25010 25256 25600 25625 26240 26840 27328 27500 27511 28000 28160 28672 28700 28864 30500 30800 31232 31570 32000 32800 33550 34160 35000 35014 35200 35840 35875 36080 36736 37576 38125 38500 39040 39424 40000 40016 40960 41000 41984 42700 42944 44000 44800 45056 45100 45920 46970 48125 48800 49280 50020 50512 51200 51250 52480 53375 53680 54656 55000 55022 56000 56320 56375 57344 57400 57728 61000 61600 62464 62525 63140 64000 65600 67100 68320 70000 70028 70400 71680 71750 72160 73472 75152 76250 77000 78080 78848 78925 80000 80032 81920 82000 83875 83968 85400 85888 87535 88000 89600 90112 90200 91840 93940 96250 97600 98560 100040 101024 102400 102500 104960 106750 107360 109312 110000 110044 112000 112640 112750 114688 114800 115456 117425 122000 123200 124928 125050 126280 128000 131200 134200 136640 137555 140000 140056 140800 143360 143500 144320 146944 150304 152500 154000 156160 157696 157850 160000 160064 164000 167750 167936 170800 171776 175070 176000 179200 179375 180224 180400 183680 187880 192500 192577 195200 197120 200080 202048 204800 205000 209920 213500 214720 218624 220000 220088 224000 225280 225500 229600 230912 234850 244000 246400 249856 250100 252560 256000 262400 266875 268400 273280 275110 280000 280112 281600 281875 286720 287000 288640 293888 300608 305000 308000 312320 312625 315392 315700 320000 320128 328000 335500 335872 341600 343552 350140 352000 358400 358750 360800 367360 375760 385000 385154 390400 394240 394625 400160 404096 409600 410000 419375 419840 427000 429440 437248 437675 440000 440176 448000 450560 451000 459200 461824 469700 488000 492800 499712 500200 505120 512000 524800 533750 536800 546560 550220 560000 560224 563200 563750 573440 574000 577280 587125 587776 601216 610000 616000 624640 625250 630784 631400 640000 640256 656000 671000 671744 683200 687104 687775 700280 704000 716800 717500 721600 734720 751520 770000 770308 780800 788480 789250 800320 808192 820000 838750 839680 854000 858880 874496 875350 880000 880352 896000 901120 902000 918400 923648 939400 962885 976000 985600 999424 1000400 1010240 1024000 1049600 1067500 1073600 1093120 1100440 1120000 1120448 1126400 1127500 1148000 1154560 1174250 1175552 1202432 1220000 1232000 1249280 1250500 1261568 1262800 1280000 1280512 1312000 1342000 1366400 1374208 1375550 1400560 1408000 1433600 1435000 1443200 1469440 1503040 1540000 1540616 1561600 1563125 1576960 1578500 1600640 1616384 1640000 1677500 1679360 1708000 1717760 1748992 1750700 1760000 1760704 1792000 1804000 1836800 1847296 1878800 1925770 1952000 1971200 1973125 2000800 2020480 2048000 2099200 2135000 2147200 2186240 2188375 2200880 2240000 2240896 2252800 2255000 2296000 2309120 2348500 2351104 2404864 2440000 2464000 2498560 2501000 2525600 2560000 2561024 2624000 2684000 2732800 2748416 2751100 2801120 2816000 2867200 2870000 2886400 2935625 2938880 3006080 3080000 3081232 3123200 3126250 3153920 3157000 3201280 3232768 3280000 3355000 3358720 3416000 3435520 3438875 3497984 3501400 3520000 3521408 3584000 3608000 3673600 3694592 3757600 3851540 3904000 3942400 3946250 4001600 4040960 4198400 4270000 4294400 4372480 4376750 4401760 4480000 4481792 4505600 4510000 4592000 4618240 4697000 4702208 4809728 4814425 4880000 4928000 4997120 5002000 5051200 5120000 5122048 5248000 5368000 5465600 5496832 5502200 5602240 5632000 5740000 5772800 5871250 5877760 6012160 6160000 6162464 6246400 6252500 6307840 6314000 6402560 6465536 6560000 6710000 6832000 6871040 6877750 6995968 7002800 7040000 7042816 7168000 7216000 7347200 7389184 7515200 7703080 7808000 7884800 7892500 8003200 8081920 8396800 8540000 8588800 8744960 8753500 8803520 8960000 8963584 9020000 9184000 9236480 9394000 9619456 9628850 9760000 9856000 10004000 10102400 10240000 10244096 10496000 10736000 10931200 10941875 10993664 11004400 11204480 11264000 11480000 11545600 11742500 11755520 12024320 12320000 12324928 12492800 12505000 12628000 12805120 12931072 13120000 13420000 13664000 13742080 13755500 14005600 14080000 14085632 14336000 14432000 14694400 15030400 15406160 15616000 15769600 15785000 16006400 16163840 16793600 17080000 17177600 17194375 17489920 17507000 17607040 17920000 17927168 18040000 18368000 18472960 18788000 19238912 19257700 19520000 19712000 20008000 20204800 20488192 20992000 21472000 21862400 21883750 22008800 22408960 22528000 22960000 23091200 23485000 23511040 24048640 24072125 24640000 24649856 24985600 25010000 25256000 25610240 25862144 26240000 26840000 27328000 27484160 27511000 28011200 28160000 28171264 28864000 29388800 30060800 30812320 31232000 31539200 31570000 32012800 32327680 34160000 34355200 34388750 34979840 35014000 35214080 35840000 35854336 36080000 36736000 36945920 37576000 38477824 38515400 39040000 39424000 40016000 40409600 40976384 41984000 42944000 43724800 43767500 44017600 44817920 45920000 46182400 46970000 48097280 48144250 49280000 49299712 50020000 50512000 51220480 51724288 52480000 53680000 54656000 54968320 55022000 56022400 56320000 56342528 57728000 58777600 60121600 61624640 62464000 63140000 64025600 64655360 68320000 68710400 68777500 70028000 70428160 71680000 71708672 72160000 73472000 75152000 76955648 77030800 78080000 78848000 80032000 80819200 83968000 85888000 87449600 87535000 88035200 89635840 91840000 92364800 93940000 96194560 96288500 98560000 98599424 100040000 101024000 102440960 104960000 107360000 109312000 110044000 112044800 112640000 112685056 115456000 117555200 120243200 120360625 123249280 124928000 126280000 128051200 129310720 136640000 137420800 137555000 140056000 140856320 143417344 144320000 146944000 150304000 154061600 156160000 157696000 160064000 161638400 171776000 174899200 175070000 176070400 179271680 183680000 184729600 187880000 192389120 192577000 197120000 197198848 200080000 202048000 204881920 209920000 214720000 218624000 220088000 224089600 225370112 230912000 240486400 240721250 246498560 252560000 256102400 258621440 273280000 274841600 275110000 280112000 281712640 286834688 288640000 293888000 300608000 308123200 312320000 320128000 323276800 343552000 350140000 352140800 358543360 367360000 375760000 384778240 385154000 394240000 394397696 400160000 404096000 419840000 429440000 437248000 440176000 448179200 450740224 461824000 480972800 481442500 492997120 505120000 512204800 546560000 550220000 560224000 563425280 577280000 587776000 601216000 616246400 624640000 640256000 646553600 687104000 700280000 704281600 717086720 734720000 751520000 770308000 788480000 788795392 800320000 808192000 858880000 874496000 880352000 896358400 923648000 961945600 962885000 985994240 1010240000 1024409600 1093120000 1100440000 1120448000 1126850560 1154560000 1202432000 1232492800 1280512000 1293107200 1374208000 1400560000 1408563200 1434173440 1469440000 1503040000 1540616000 1577590784 1600640000 1616384000 1717760000 1760704000 1792716800 1923891200 1925770000 1971988480 2020480000 2186240000 2200880000 2240896000 2253701120 2309120000 2404864000 2464985600 2561024000 2801120000 2817126400 2938880000 3006080000 3081232000 3155181568 3201280000 3232768000 3435520000 3521408000 3585433600 3851540000 3943976960 4040960000 4372480000 4401760000 4481792000 4618240000 4809728000 4929971200 5122048000 5602240000 5634252800 6012160000 6162464000 6402560000 6465536000 6871040000 7042816000 7170867200 7703080000 7887953920 8081920000 8803520000 8963584000 9619456000 9859942400 11204480000 11268505600 12024320000 12324928000 12805120000 14085632000 15406160000 15775907840 16163840000 17607040000 17927168000 19719884800 22408960000 24048640000 24649856000 25610240000 28171264000 30812320000 32327680000 35214080000 35854336000 39439769600 44817920000 48097280000 49299712000 56342528000 61624640000 70428160000 78879539200 89635840000 98599424000 123249280000 140856320000 179271680000 197198848000 246498560000 281712640000 394397696000 492997120000 985994240000 1971988480000
- Sum of all divisors σ(n): 6397347293568
- Sum of proper divisors (its aliquot sum) s(n): 4425358813568
- 1971988480000 is an abundant number, because the sum of its proper divisors (4425358813568) is greater than itself. Its abundance is 2453370333568
Bases of 1971988480000
- Binary: 111001011001000111010110001000000000000002
- Hexadecimal: 0x1CB23AC4000
- Base-36: P5X30XDS
Squares and roots of 1971988480000
- 1971988480000 squared (19719884800002) is 3888738565252710400000000
- 1971988480000 cubed (19719884800003) is 7668547652410073197576192000000000000
-
The
square root of 1971988480000 is 1404275.0727688647 -
The
cube root of 1971988480000 is 12540.1132272903
Scales and comparisons
How big is 1971988480000?- 1,971,988,480,000 seconds is equal to 62,703 years, 6 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 1,971,988,480,000 would take you about one hundred fifty-six thousand, seven hundred fifty-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 1971988480000 cubic inches would be around 1045 feet tall.
Recreational maths with 1971988480000
- 1971988480000 backwards is 0000848891791
- 1971988480000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1971988480000's digits is 55
- 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 1971988480000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 1971988480000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/1971988480000/
Chicago style:
Numbermatics. 2024. "Number 1971988480000 - Facts about the integer". https://numbermatics.com/n/1971988480000/
The information we have on file for 1971988480000 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 1971988480000, math, Factors of 1971988480000, curriculum, school, college, exams, university, Prime factorization of 1971988480000, STEM, science, technology, engineering, physics, economics, calculator, one trillion, nine hundred seventy-one billion, nine hundred eighty-eight million, four hundred eighty thousand.