40136136768000
40,136,136,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 40136136768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2560 divisors.
40136136768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 40136136768000:
29 × 33 × 53 × 73 × 13 × 5209
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 5209)See below for interesting mathematical facts about the number 40136136768000 from the Numbermatics database.
Names of 40136136768000
- Cardinal: 40136136768000 can be written as Forty trillion, one hundred thirty-six billion, one hundred thirty-six million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.0136136768 × 1013
Factors of 40136136768000
Divisors of 40136136768000
- 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 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 108 112 117 120 125 126 128 130 135 140 144 147 150 156 160 168 175 180 182 189 192 195 196 200 208 210 216 224 225 234 240 245 250 252 256 260 270 273 280 288 294 300 312 315 320 325 336 343 350 351 360 364 375 378 384 390 392 400 416 420 432 441 448 450 455 468 480 490 500 504 512 520 525 540 546 560 576 585 588 600 624 630 637 640 650 672 675 686 700 702 720 728 735 750 756 768 780 784 800 819 832 840 864 875 882 896 900 910 936 945 960 975 980 1000 1008 1029 1040 1050 1080 1092 1120 1125 1152 1170 1176 1200 1225 1248 1260 1274 1280 1300 1323 1344 1350 1365 1372 1400 1404 1440 1456 1470 1500 1512 1536 1560 1568 1575 1600 1625 1638 1664 1680 1715 1728 1750 1755 1764 1792 1800 1820 1872 1890 1911 1920 1950 1960 2000 2016 2058 2080 2100 2160 2184 2205 2240 2250 2275 2304 2340 2352 2400 2450 2457 2496 2520 2548 2560 2600 2625 2646 2688 2700 2730 2744 2800 2808 2880 2912 2925 2940 3000 3024 3087 3120 3136 3150 3185 3200 3250 3276 3328 3360 3375 3430 3456 3500 3510 3528 3584 3600 3640 3675 3744 3780 3822 3840 3900 3920 4000 4032 4095 4116 4160 4200 4320 4368 4410 4459 4480 4500 4550 4608 4680 4704 4725 4800 4875 4900 4914 4992 5040 5096 5145 5200 5209 5250 5292 5376 5400 5460 5488 5600 5616 5733 5760 5824 5850 5880 6000 6048 6125 6174 6240 6272 6300 6370 6400 6500 6552 6615 6656 6720 6750 6825 6860 6912 7000 7020 7056 7200 7280 7350 7488 7560 7644 7680 7800 7840 7875 8000 8064 8190 8232 8320 8400 8575 8640 8736 8775 8820 8918 8960 9000 9100 9261 9360 9408 9450 9555 9600 9750 9800 9828 9984 10080 10192 10290 10400 10418 10500 10584 10752 10800 10920 10976 11025 11200 11232 11375 11466 11520 11648 11700 11760 12000 12096 12250 12285 12348 12480 12544 12600 12740 12800 13000 13104 13230 13377 13440 13500 13650 13720 13824 14000 14040 14112 14400 14560 14625 14700 14976 15120 15288 15435 15600 15627 15680 15750 15925 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128641464000 133787122560 136517472000 139361586000 143343345600 147018816000 148652358400 154369756800 156781784250 159270384000 160544547072 163820966400 167233903200 171521952000 178382830080 179179182000 185815448000 191124460800 192962196000 200680683840 204776208000 205826342400 209042379000 212360512000 220528224000 222978537600 229349352960 238905576000 250850854800 257282928000 267574245120 273034944000 278723172000 286686691200 297304716800 308739513600 313563568500 318540768000 321089094144 334467806400 343043904000 358358364000 371630896000 382248921600 385924392000 401361367680 409552416000 418084758000 441056448000 445957075200 477811152000 501701709600 514565856000 535148490240 557446344000 573373382400 617479027200 627127137000 637081536000 668935612800 716716728000 743261792000 771848784000 802722735360 819104832000 836169516000 891914150400 955622304000 1003403419200 1029131712000 1114892688000 1146746764800 1254254274000 1337871225600 1433433456000 1486523584000 1543697568000 1605445470720 1672339032000 1911244608000 2006806838400 2229785376000 2508508548000 2675742451200 2866866912000 3087395136000 3344678064000 4013613676800 4459570752000 5017017096000 5733733824000 6689356128000 8027227353600 10034034192000 13378712256000 20068068384000 40136136768000
- Sum of all divisors σ(n): 186245579520000
- Sum of proper divisors (its aliquot sum) s(n): 146109442752000
- 40136136768000 is an abundant number, because the sum of its proper divisors (146109442752000) is greater than itself. Its abundance is 105973305984000
Bases of 40136136768000
- Binary: 10010010000000111011000010110010111010000000002
- Hexadecimal: 0x2480EC2CBA00
- Base-36: E86ABJPC0
Squares and roots of 40136136768000
- 40136136768000 squared (401361367680002) is 1610909474659601485824000000
- 40136136768000 cubed (401361367680003) is 64655682995804795479408077176832000000000
-
The
square root of 40136136768000 is 6335308.7350183655 -
The
cube root of 40136136768000 is 34238.2734339155
Scales and comparisons
How big is 40136136768000?- 40,136,136,768,000 seconds is equal to 1,276,205 years.
-
To count from 1 to 40,136,136,768,000 would take you about three million, one hundred ninety thousand, five hundred twelve 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 40136136768000 cubic inches would be around 2853.2 feet tall.
Recreational maths with 40136136768000
- 40136136768000 backwards is 00086763163104
- 40136136768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40136136768000's digits is 45
- More coming soon!
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The information we have on file for 40136136768000 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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