138393576000000
138,393,576,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138393576000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
138393576000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 138393576000000:
29 × 33 × 56 × 23 × 89 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 23 × 89 × 313)See below for interesting mathematical facts about the number 138393576000000 from the Numbermatics database.
Names of 138393576000000
- Cardinal: 138393576000000 can be written as One hundred thirty-eight trillion, three hundred ninety-three billion, five hundred seventy-six million.
Scientific notation
- Scientific notation: 1.38393576 × 1014
Factors of 138393576000000
Divisors of 138393576000000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 89 90 92 96 100 108 115 120 125 128 135 138 144 150 160 178 180 184 192 200 207 216 225 230 240 250 256 267 270 276 288 300 313 320 345 356 360 368 375 384 400 414 432 445 450 460 480 500 512 534 540 552 575 576 600 621 625 626 640 675 690 712 720 736 750 768 800 801 828 864 890 900 920 939 960 1000 1035 1068 1080 1104 1125 1150 1152 1200 1242 1250 1252 1280 1335 1350 1380 1424 1440 1472 1500 1536 1565 1600 1602 1656 1725 1728 1780 1800 1840 1875 1878 1920 2000 2047 2070 2136 2160 2208 2225 2250 2300 2304 2400 2403 2484 2500 2504 2560 2670 2700 2760 2817 2848 2875 2880 2944 3000 3105 3125 3130 3200 3204 3312 3375 3450 3456 3560 3600 3680 3750 3756 3840 4000 4005 4094 4140 4272 4320 4416 4450 4500 4600 4608 4695 4800 4806 4968 5000 5008 5175 5340 5400 5520 5625 5634 5696 5750 5760 5888 6000 6141 6210 6250 6260 6400 6408 6624 6675 6750 6900 6912 7120 7199 7200 7360 7500 7512 7680 7825 8000 8010 8188 8280 8451 8544 8625 8640 8832 8900 9000 9200 9375 9390 9600 9612 9936 10000 10016 10235 10350 10680 10800 11040 11125 11250 11268 11392 11500 11520 11776 12000 12015 12282 12420 12500 12520 12800 12816 13248 13350 13500 13800 13824 14085 14240 14375 14398 14400 14720 15000 15024 15525 15625 15650 16000 16020 16376 16560 16875 16902 17088 17250 17280 17664 17800 18000 18400 18423 18750 18780 19200 19224 19872 20000 20025 20032 20470 20700 21360 21597 21600 22080 22250 22500 22536 22784 23000 23040 23475 24000 24030 24564 24840 25000 25040 25632 25875 26496 26700 27000 27600 27857 28125 28170 28480 28750 28796 28800 29440 30000 30048 30705 31050 31250 31300 32000 32040 32752 33120 33375 33750 33804 34176 34500 34560 35328 35600 35995 36000 36800 36846 37500 37560 38400 38448 39125 39744 40000 40050 40064 40940 41400 42255 42720 43125 43194 43200 44160 44500 45000 45072 45568 46000 46875 46950 48000 48060 49128 49680 50000 50080 51175 51264 51750 52992 53400 54000 55200 55269 55625 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5535743040000 5766399000000 6017112000000 6919678800000 7688532000000 8649598500000 9226238400000 11532798000000 13839357600000 15377064000000 17299197000000 23065596000000 27678715200000 34598394000000 46131192000000 69196788000000 138393576000000
- Sum of all divisors σ(n): 542055186604800
- Sum of proper divisors (its aliquot sum) s(n): 403661610604800
- 138393576000000 is an abundant number, because the sum of its proper divisors (403661610604800) is greater than itself. Its abundance is 265268034604800
Bases of 138393576000000
- Binary: 111110111011110010000111110111111001010000000002
- Hexadecimal: 0x7DDE43EFCA00
- Base-36: 1D214PXMO0
Squares and roots of 138393576000000
- 138393576000000 squared (1383935760000002) is 19152781878067776000000000000
- 138393576000000 cubed (1383935760000003) is 2650621974453795491006976000000000000000000
-
The
square root of 138393576000000 is 11764079.9045229203 -
The
cube root of 138393576000000 is 51725.5730128731
Scales and comparisons
How big is 138393576000000?- 138,393,576,000,000 seconds is equal to 4,400,487 years, 33 weeks, 1 day.
-
To count from 1 to 138,393,576,000,000 would take you about eleven million, one thousand, two hundred nineteen 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 138393576000000 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138393576000000
- 138393576000000 backwards is 000000675393831
- 138393576000000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138393576000000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138393576000000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138393576000000/
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The information we have on file for 138393576000000 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 138393576000000, math, Factors of 138393576000000, curriculum, school, college, exams, university, Prime factorization of 138393576000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred ninety-three billion, five hundred seventy-six million.