2138289146380800
2,138,289,146,380,800 is an even composite number composed of six prime numbers multiplied together.
2138289146380800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 2138289146380800:
29 × 34 × 52 × 7 × 533 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 53 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 2138289146380800 from the Numbermatics database.
Names of 2138289146380800
- Cardinal: 2138289146380800 can be written as Two quadrillion, one hundred thirty-eight trillion, two hundred eighty-nine billion, one hundred forty-six million, three hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1382891463808 × 1015
Factors of 2138289146380800
Divisors of 2138289146380800
- Number of divisors d(n): 2400
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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 53 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 106 108 112 120 126 128 135 140 144 150 159 160 162 168 175 180 189 192 200 210 212 216 224 225 240 252 256 265 270 280 288 300 315 318 320 324 336 350 360 371 378 384 400 405 420 424 432 448 450 477 480 504 512 525 530 540 560 567 576 600 630 636 640 648 672 675 700 720 742 756 768 795 800 810 840 848 864 896 900 945 954 960 1008 1050 1060 1080 1113 1120 1134 1152 1200 1260 1272 1280 1296 1325 1344 1350 1400 1431 1440 1484 1512 1536 1575 1590 1600 1620 1680 1696 1728 1792 1800 1855 1890 1908 1920 1979 2016 2025 2100 2120 2160 2226 2240 2268 2304 2385 2400 2520 2544 2560 2592 2650 2688 2700 2800 2809 2835 2862 2880 2968 3024 3150 3180 3200 3240 3339 3360 3392 3456 3584 3600 3710 3780 3816 3840 3958 3975 4032 4050 4200 4240 4293 4320 4452 4480 4536 4608 4725 4770 4800 5040 5088 5184 5300 5376 5400 5565 5600 5618 5670 5724 5760 5936 5937 6048 6300 6360 6400 6480 6678 6720 6784 6912 7155 7200 7420 7560 7632 7680 7916 7950 8064 8100 8400 8427 8480 8586 8640 8904 8960 9072 9275 9450 9540 9600 9895 10017 10080 10176 10368 10600 10752 10800 11130 11200 11236 11340 11448 11520 11872 11874 11925 12096 12600 12720 12800 12960 13356 13440 13568 13824 13853 14045 14175 14310 14400 14840 15120 15264 15832 15900 16128 16200 16695 16800 16854 16960 17172 17280 17808 17811 17920 18144 18550 18900 19080 19200 19663 19790 20034 20160 20352 20736 21200 21465 21600 22260 22400 22472 22680 22896 23040 23744 23748 23850 24192 25200 25281 25440 25920 26712 26880 27136 27706 27825 28090 28350 28620 28800 29680 29685 30051 30240 30528 31664 31800 32256 32400 33390 33600 33708 33920 34344 34560 35616 35622 35775 36288 37100 37800 38160 38400 39326 39580 40068 40320 40704 41472 41559 42135 42400 42930 43200 44520 44800 44944 45360 45792 47488 47496 47700 48384 49475 50085 50400 50562 50880 51840 53424 53433 53760 55412 55650 56180 56700 57240 57600 58989 59360 59370 60102 60480 61056 63328 63600 64800 66780 67200 67416 67840 68688 69120 69265 70225 71232 71244 71550 72576 74200 75600 75843 76320 78652 79160 80136 80640 81408 83118 83475 84270 84800 85860 86400 89040 89055 89600 89888 90720 91584 94976 94992 95400 96768 98315 98950 100170 100800 101124 101760 103680 104887 106848 106866 107325 110824 111300 112360 113400 114480 115200 117978 118720 118740 120204 120960 122112 124677 126405 126656 127200 129600 133560 134400 134832 135680 137376 138530 140450 142464 142488 143100 145152 148400 148425 148877 150255 151200 151686 152640 157304 158320 160272 160299 161280 166236 166950 168540 169600 171720 172800 176967 178080 178110 179776 181440 183168 189952 189984 190800 196630 197900 200340 201600 202248 203520 207360 207795 209774 210675 213696 213732 214650 221648 222600 224720 226800 227529 228960 235956 237440 237480 240408 241920 244224 249354 250425 252810 253312 254400 259200 267120 267165 268800 269664 274752 277060 280900 284928 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9545933689200 9899486788800 10086269558400 10182329268480 10691445731904 11136922637400 11313699187200 11879384146560 12218795122176 12727911585600 13199315718400 13364307164880 13448359411200 14255260975872 14849230183200 15273493902720 15839178862080 16705383956100 16970548780800 17819076219840 19091867378400 19798973577600 20172539116800 20364658536960 21382891463808 22273845274800 23758768293120 25455823171200 26398631436800 26728614329760 28510521951744 29698460366400 30546987805440 33410767912200 33941097561600 35638152439680 38183734756800 39597947155200 40345078233600 42765782927616 44547690549600 47517536586240 50911646342400 53457228659520 59396920732800 61093975610880 66821535824400 71276304879360 76367469513600 79195894310400 85531565855232 89095381099200 101823292684800 106914457319040 118793841465600 133643071648800 142552609758720 152734939027200 178190762198400 213828914638080 237587682931200 267286143297600 305469878054400 356381524396800 427657829276160 534572286595200 712763048793600 1069144573190400 2138289146380800
- Sum of all divisors σ(n): 9223122031516800
- Sum of proper divisors (its aliquot sum) s(n): 7084832885136000
- 2138289146380800 is an abundant number, because the sum of its proper divisors (7084832885136000) is greater than itself. Its abundance is 4946543738755200
Bases of 2138289146380800
- Binary: 1111001100011000011001111001111111101000010000000002
- Hexadecimal: 0x798C33CFF4200
- Base-36: L1YKH0RK00
Squares and roots of 2138289146380800
- 2138289146380800 squared (21382891463808002) is 4572280473529930329738608640000
- 2138289146380800 cubed (21382891463808003) is 9776857710757914734536465341618283610112000000
-
The
square root of 2138289146380800 is 46241638.6645283149 -
The
cube root of 2138289146380800 is 128831.5238762857
Scales and comparisons
How big is 2138289146380800?- 2,138,289,146,380,800 seconds is equal to 67,990,980 years, 36 weeks.
-
To count from 1 to 2,138,289,146,380,800 would take you about two hundred three million, nine hundred seventy-two thousand, nine hundred forty-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 2138289146380800 cubic inches would be around 10736 feet tall.
Recreational maths with 2138289146380800
- 2138289146380800 backwards is 0080836419828312
- 2138289146380800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2138289146380800's digits is 63
- More coming soon!
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"Number 2138289146380800 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 2138289146380800 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/2138289146380800/
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The information we have on file for 2138289146380800 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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