12138517224624000
12,138,517,224,624,000 is an even composite number composed of six prime numbers multiplied together.
12138517224624000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 12138517224624000:
27 × 3 × 53 × 7 × 45319 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 45319 × 797161)See below for interesting mathematical facts about the number 12138517224624000 from the Numbermatics database.
Names of 12138517224624000
- Cardinal: 12138517224624000 can be written as Twelve quadrillion, one hundred thirty-eight trillion, five hundred seventeen billion, two hundred twenty-four million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.2138517224624 × 1016
Factors of 12138517224624000
Divisors of 12138517224624000
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 280 300 320 336 350 375 384 400 420 448 480 500 525 560 600 640 672 700 750 800 840 875 896 960 1000 1050 1120 1200 1344 1400 1500 1600 1680 1750 1920 2000 2100 2240 2400 2625 2688 2800 3000 3200 3360 3500 4000 4200 4480 4800 5250 5600 6000 6720 7000 8000 8400 9600 10500 11200 12000 13440 14000 16000 16800 21000 22400 24000 28000 33600 42000 45319 48000 56000 67200 84000 90638 112000 135957 168000 181276 226595 271914 317233 336000 362552 453190 543828 634466 679785 725104 797161 906380 951699 1087656 1132975 1268932 1359570 1450208 1586165 1594322 1812760 1903398 2175312 2265950 2391483 2537864 2719140 2900416 3172330 3188644 3398925 3625520 3806796 3985805 4350624 4531900 4758495 4782966 5075728 5438280 5580127 5664875 5800832 6344660 6377288 6797850 7251040 7613592 7930825 7971610 8701248 9063800 9516990 9565932 10151456 10876560 11160254 11329750 11957415 12689320 12754576 13595700 14502080 15227184 15861650 15943220 16740381 16994625 17402496 18127600 19033980 19131864 19929025 20302912 21753120 22320508 22659500 23792475 23914830 25378640 25509152 27191400 27900635 29004160 30454368 31723300 31886440 33480762 33989250 36255200 38067960 38263728 39654125 39858050 40605824 43506240 44641016 45319000 47584950 47829660 50757280 51018304 54382800 55801270 59787075 60908736 63446600 63772880 66961524 67978500 72510400 76135920 76527456 79308250 79716100 83701905 87012480 89282032 90638000 95169900 95659320 99645125 101514560 102036608 108765600 111602540 118962375 119574150 121817472 126893200 127545760 133923048 135957000 139503175 145020800 152271840 153054912 158616500 159432200 167403810 178564064 181276000 190339800 191318640 199290250 203029120 217531200 223205080 237924750 239148300 253786400 255091520 267846096 271914000 279006350 298935375 304543680 306109824 317233000 318864400 334807620 357128128 362552000 380679600 382637280 398580500 418509525 435062400 446410160 475849500 478296600 507572800 510183040 535692192 543828000 558012700 597870750 609087360 634466000 637728800 669615240 697515875 714256256 725104000 761359200 765274560 797161000 837019050 892820320 951699000 956593200 1015145600 1071384384 1087656000 1116025400 1195741500 1268932000 1275457600 1339230480 1395031750 1522718400 1530549120 1594322000 1674038100 1785640640 1903398000 1913186400 2092547625 2142768768 2175312000 2232050800 2391483000 2537864000 2550915200 2678460960 2790063500 3045436800 3188644000 3348076200 3571281280 3806796000 3826372800 4185095250 4464101600 4782966000 5075728000 5356921920 5580127000 6377288000 6696152400 7613592000 7652745600 8370190500 8928203200 9565932000 10713843840 11160254000 12754576000 13392304800 15227184000 16740381000 17856406400 19131864000 22320508000 26784609600 33480762000 36126539359 38263728000 44641016000 53569219200 66961524000 72253078718 89282032000 108379618077 133923048000 144506157436 180632696795 216759236154 252885775513 267846096000 289012314872 361265393590 433518472308 505771551026 541898090385 578024629744 722530787180 758657326539 867036944616 903163483975 1011543102052 1083796180770 1156049259488 1264428877565 1445061574360 1517314653078 1734073889232 1806326967950 2023086204104 2167592361540 2312098518976 2528857755130 2709490451925 2890123148720 3034629306156 3468147778464 3612653935900 3793286632695 4046172408208 4335184723080 4515817419875 4624197037952 5057715510260 5418980903850 5780246297440 6069258612312 6322144387825 6936295556928 7225307871800 7586573265390 8092344816416 8670369446160 9031634839750 10115431020520 10837961807700 11560492594880 12138517224624 12644288775650 13547452259625 13872591113856 14450615743600 15173146530780 16184689632832 17340738892320 18063269679500 18966433163475 20230862041040 21675923615400 23120985189760 24277034449248 25288577551300 27094904519250 28901231487200 30346293061560 31610721939125 32369379265664 34681477784640 36126539359000 37932866326950 40461724082080 43351847230800 48554068898496 50577155102600 54189809038500 57802462974400 60692586123120 63221443878250 69362955569280 72253078718000 75865732653900 80923448164160 86703694461600 94832165817375 97108137796992 101154310205200 108379618077000 115604925948800 121385172246240 126442887756500 144506157436000 151731465307800 161846896328320 173407388923200 189664331634750 202308620410400 216759236154000 242770344492480 252885775513000 289012314872000 303462930615600 346814777846400 379328663269500 404617240820800 433518472308000 485540688984960 505771551026000 578024629744000 606925861231200 758657326539000 809234481641600 867036944616000 1011543102052000 1213851722462400 1517314653078000 1734073889232000 2023086204104000 2427703444924800 3034629306156000 4046172408208000 6069258612312000 12138517224624000
- Sum of all divisors σ(n): 45988711987046400
- Sum of proper divisors (its aliquot sum) s(n): 33850194762422400
- 12138517224624000 is an abundant number, because the sum of its proper divisors (33850194762422400) is greater than itself. Its abundance is 21711677537798400
Bases of 12138517224624000
- Binary: 1010110001111111101010110001110100011000001111100000002
- Hexadecimal: 0x2B1FEAC7460F80
- Base-36: 3BIQTTWBATC
Squares and roots of 12138517224624000
- 12138517224624000 squared (121385172246240002) is 147343600412493535671941376000000
- 12138517224624000 cubed (121385172246240003) is 1788532831545168694199914772353551642624000000000
-
The
square root of 12138517224624000 is 110174939.1859328417 -
The
cube root of 12138517224624000 is 229820.3841824059
Scales and comparisons
How big is 12138517224624000?- 12,138,517,224,624,000 seconds is equal to 385,967,300 years, 43 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 12,138,517,224,624,000 would take you about one billion, one hundred fifty-seven million, nine hundred one thousand, nine hundred two 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 12138517224624000 cubic inches would be around 19151.7 feet tall.
Recreational maths with 12138517224624000
- 12138517224624000 backwards is 00042642271583121
- 12138517224624000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12138517224624000's digits is 48
- More coming soon!
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The information we have on file for 12138517224624000 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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