138287532096000
138,287,532,096,000 is an even composite number composed of seven prime numbers multiplied together.
138287532096000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138287532096000:
29 × 33 × 53 × 7 × 131 × 197 × 443
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 131 × 197 × 443)See below for interesting mathematical facts about the number 138287532096000 from the Numbermatics database.
Names of 138287532096000
- Cardinal: 138287532096000 can be written as One hundred thirty-eight trillion, two hundred eighty-seven billion, five hundred thirty-two million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.38287532096 × 1014
Factors of 138287532096000
Divisors of 138287532096000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 131 135 140 144 150 160 168 175 180 189 192 197 200 210 216 224 225 240 250 252 256 262 270 280 288 300 315 320 336 350 360 375 378 384 393 394 400 420 432 443 448 450 480 500 504 512 524 525 540 560 576 591 600 630 640 655 672 675 700 720 750 756 768 786 788 800 840 864 875 886 896 900 917 945 960 985 1000 1008 1048 1050 1080 1120 1125 1152 1179 1182 1200 1260 1280 1310 1329 1344 1350 1379 1400 1440 1500 1512 1536 1572 1575 1576 1600 1680 1728 1750 1772 1773 1792 1800 1834 1890 1920 1965 1970 2000 2016 2096 2100 2160 2215 2240 2250 2304 2358 2364 2400 2520 2560 2620 2625 2658 2688 2700 2751 2758 2800 2880 2955 3000 3024 3101 3144 3150 3152 3200 3275 3360 3375 3456 3500 3537 3544 3546 3584 3600 3668 3780 3840 3930 3940 3987 4000 4032 4137 4192 4200 4320 4430 4480 4500 4585 4608 4716 4725 4728 4800 4925 5040 5240 5250 5316 5319 5376 5400 5502 5516 5600 5760 5895 5910 6000 6048 6202 6288 6300 6304 6400 6550 6645 6720 6750 6895 6912 7000 7074 7088 7092 7200 7336 7560 7680 7860 7875 7880 7974 8000 8064 8253 8274 8384 8400 8640 8860 8865 8960 9000 9170 9303 9432 9450 9456 9600 9825 9850 10080 10480 10500 10632 10638 10752 10800 11004 11032 11075 11200 11520 11790 11820 11961 12000 12096 12404 12411 12576 12600 12608 12800 13100 13290 13440 13500 13755 13790 13824 14000 14148 14176 14184 14400 14672 14775 15120 15505 15720 15750 15760 15948 16000 16128 16375 16506 16548 16768 16800 17280 17685 17720 17730 17920 18000 18340 18606 18864 18900 18912 19200 19650 19700 19935 20160 20685 20960 21000 21264 21276 21600 22008 22064 22150 22400 22925 23040 23580 23625 23640 23922 24000 24192 24625 24759 24808 24822 25152 25200 25216 25807 26200 26580 26595 26880 27000 27510 27580 27909 28000 28296 28352 28368 28800 29344 29475 29550 30240 31010 31440 31500 31520 31896 32000 32256 32750 33012 33096 33225 33536 33600 34475 34560 35370 35440 35460 36000 36680 37212 37233 37728 37800 37824 38400 39300 39400 39870 40320 41265 41370 41920 42000 42528 42552 43200 44016 44128 44300 44325 44800 45850 46515 47160 47250 47280 47844 48000 48384 49125 49250 49518 49616 49644 50304 50400 50432 51614 52400 53160 53190 53760 54000 55020 55160 55375 55818 56000 56592 56704 56736 57600 58033 58688 58950 59100 59805 60480 62020 62055 62880 63000 63040 63792 64000 65500 66024 66192 66450 67072 67200 68775 68950 69120 70740 70880 70920 72000 73360 73875 74424 74466 75456 75600 75648 77421 77525 78600 78800 79740 80640 82530 82740 83727 83840 84000 85056 85104 86400 87271 88032 88256 88425 88600 88650 89600 91700 93030 94320 94500 94560 95688 96000 96768 98250 98500 99036 99232 99288 99675 100608 100800 100864 103228 103425 104800 106320 106380 108000 110040 110320 110750 111636 112000 113184 113408 113472 114625 115200 116066 117376 117900 118200 119610 120960 123795 124040 124110 125760 126000 126080 127584 129035 131000 132048 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91460008000 92191688064 96033008400 98776808640 100281024000 102435208960 102892509000 104053824000 105563001600 108037134450 109752009600 115239610080 116994528000 117292224000 120041260500 122922250752 123471010800 128044011200 131702411520 131953752000 137190012000 138287532096 140393433600 144049512600 146336012800 150804288000 153652813440 154338763500 156080736000 158042893824 160055014000 164628014400 172859415120 175491792000 175938336000 180061890750 182920016000 184383376128 192066016800 197553617280 204870417920 205785018000 211126003200 216074268900 219504019200 230479220160 233989056000 240082521000 246942021600 256088022400 263404823040 263907504000 270092836125 274380024000 276575064192 288099025200 307305626880 308677527000 312161472000 320110028000 329256028800 345718830240 350983584000 351876672000 360123781500 365840032000 368766752256 384132033600 395107234560 411570036000 432148537800 439008038400 460958440320 480165042000 493884043200 512176044800 527815008000 540185672250 548760048000 553150128384 576198050400 614611253760 617355054000 640220056000 658512057600 691437660480 701967168000 720247563000 731680064000 768264067200 790214469120 823140072000 864297075600 921916880640 960330084000 987768086400 1024352089600 1055630016000 1080371344500 1097520096000 1106300256768 1152396100800 1234710108000 1280440112000 1317024115200 1382875320960 1440495126000 1536528134400 1646280144000 1728594151200 1843833761280 1920660168000 1975536172800 2160742689000 2195040192000 2304792201600 2469420216000 2560880224000 2765750641920 2880990252000 3073056268800 3292560288000 3457188302400 3841320336000 3951072345600 4321485378000 4609584403200 4938840432000 5121760448000 5531501283840 5761980504000 6585120576000 6914376604800 7682640672000 8642970756000 9219168806400 9877680864000 11523961008000 13828753209600 15365281344000 17285941512000 19755361728000 23047922016000 27657506419200 34571883024000 46095844032000 69143766048000 138287532096000
- Sum of all divisors σ(n): 592614538813440
- Sum of proper divisors (its aliquot sum) s(n): 454327006717440
- 138287532096000 is an abundant number, because the sum of its proper divisors (454327006717440) is greater than itself. Its abundance is 316039474621440
Bases of 138287532096000
- Binary: 111110111000101100100110011101000111010000000002
- Hexadecimal: 0x7DC5933A3A00
- Base-36: 1D0OEY4QO0
Squares and roots of 138287532096000
- 138287532096000 squared (1382875320960002) is 19123441533202230153216000000
- 138287532096000 cubed (1382875320960003) is 2644533534808682851971636597620736000000000
-
The
square root of 138287532096000 is 11759571.9350663441 -
The
cube root of 138287532096000 is 51712.3580851797
Scales and comparisons
How big is 138287532096000?- 138,287,532,096,000 seconds is equal to 4,397,115 years, 40 weeks.
-
To count from 1 to 138,287,532,096,000 would take you about ten million, nine hundred ninety-two thousand, seven hundred eighty-nine 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 138287532096000 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138287532096000
- 138287532096000 backwards is 000690235782831
- 138287532096000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138287532096000's digits is 54
- More coming soon!
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The information we have on file for 138287532096000 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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