135640320076800
135,640,320,076,800 is an even composite number composed of six prime numbers multiplied together.
135640320076800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred seventy-two divisors.
Prime factorization of 135640320076800:
210 × 36 × 52 × 7 × 112 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 8581)See below for interesting mathematical facts about the number 135640320076800 from the Numbermatics database.
Names of 135640320076800
- Cardinal: 135640320076800 can be written as One hundred thirty-five trillion, six hundred forty billion, three hundred twenty million, seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.356403200768 × 1014
Factors of 135640320076800
Divisors of 135640320076800
- Number of divisors d(n): 2772
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 64 66 70 72 75 77 80 81 84 88 90 96 99 100 105 108 110 112 120 121 126 128 132 135 140 144 150 154 160 162 165 168 175 176 180 189 192 198 200 210 216 220 224 225 231 240 242 243 252 256 264 270 275 280 288 297 300 308 315 320 324 330 336 350 352 360 363 378 384 385 396 400 405 420 432 440 448 450 462 480 484 486 495 504 512 525 528 540 550 560 567 576 594 600 605 616 630 640 648 660 672 675 693 700 704 720 726 729 756 768 770 792 800 810 825 840 847 864 880 891 896 900 924 945 960 968 972 990 1008 1024 1050 1056 1080 1089 1100 1120 1134 1152 1155 1188 1200 1210 1215 1232 1260 1280 1296 1320 1344 1350 1386 1400 1408 1440 1452 1458 1485 1512 1536 1540 1575 1584 1600 1620 1650 1680 1694 1701 1728 1760 1782 1792 1800 1815 1848 1890 1920 1925 1936 1944 1980 2016 2025 2079 2100 2112 2160 2178 2200 2240 2268 2304 2310 2376 2400 2420 2430 2464 2475 2520 2541 2560 2592 2640 2673 2688 2700 2772 2800 2816 2835 2880 2904 2916 2970 3024 3025 3072 3080 3150 3168 3200 3240 3267 3300 3360 3388 3402 3456 3465 3520 3564 3584 3600 3630 3645 3696 3780 3840 3850 3872 3888 3960 4032 4050 4158 4200 4224 4235 4320 4356 4400 4455 4480 4536 4608 4620 4725 4752 4800 4840 4860 4928 4950 5040 5082 5103 5120 5184 5280 5346 5376 5400 5445 5544 5600 5632 5670 5760 5775 5808 5832 5940 6048 6050 6075 6160 6237 6300 6336 6400 6480 6534 6600 6720 6776 6804 6912 6930 7040 7128 7168 7200 7260 7290 7392 7425 7560 7623 7680 7700 7744 7776 7920 8019 8064 8100 8316 8400 8448 8470 8505 8581 8640 8712 8800 8910 8960 9072 9075 9216 9240 9450 9504 9600 9680 9720 9801 9856 9900 10080 10164 10206 10368 10395 10560 10692 10752 10800 10890 11088 11200 11264 11340 11520 11550 11616 11664 11880 12096 12100 12150 12320 12474 12600 12672 12705 12800 12960 13068 13200 13365 13440 13552 13608 13824 13860 14080 14175 14256 14400 14520 14580 14784 14850 15120 15246 15360 15400 15488 15552 15840 16038 16128 16200 16335 16632 16800 16896 16940 17010 17162 17280 17325 17424 17600 17820 17920 18144 18150 18225 18480 18711 18900 19008 19200 19360 19440 19602 19712 19800 20160 20328 20412 20736 20790 21120 21175 21384 21504 21600 21780 22176 22275 22400 22680 22869 23040 23100 23232 23328 23760 24192 24200 24300 24640 24948 25200 25344 25410 25515 25600 25743 25920 26136 26400 26730 26880 27104 27216 27225 27648 27720 28160 28350 28512 28800 29040 29160 29403 29568 29700 30240 30492 30800 30976 31104 31185 31680 32076 32256 32400 32670 33264 33600 33792 33880 34020 34324 34560 34650 34848 35200 35640 35840 36288 36300 36450 36960 37422 37800 38016 38115 38400 38720 38880 39204 39424 39600 40095 40320 40656 40824 41472 41580 42240 42350 42525 42768 42905 43200 43560 44352 44550 44800 45360 45738 46080 46200 46464 46656 47520 48384 48400 48600 49005 49280 49896 50400 50688 50820 51030 51486 51840 51975 52272 52800 53460 53760 54208 54432 54450 55440 56133 56320 56700 57024 57600 58080 58320 58806 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228350707200 235486666800 239224550400 242214857280 246618763776 251185777920 256894545600 258362514432 264922500150 269127619200 274020848640 279095308800 280248595200 282584000160 293593766400 301422933504 302768571600 308273454720 313982222400 322953143040 334914370560 339100800192 342526060800 352312519680 353230000200 358836825600 373664793600 376778666880 385341818400 387543771648 403691428800 411031272960 418642963200 423876000240 430604190720 440390649600 452134400256 456701414400 470973333600 484429714560 493237527552 502371555840 513789091200 529845000300 538255238400 558190617600 560497190400 565168000320 587187532800 602845867008 605537143200 616546909440 627964444800 645906286080 678201600384 685052121600 706460000400 717673651200 753557333760 770683636800 775087543296 807382857600 822062545920 837285926400 847752000480 880781299200 904268800512 941946667200 968859429120 1004743111680 1027578182400 1059690000600 1076510476800 1120994380800 1130336000640 1211074286400 1233093818880 1255928889600 1291812572160 1356403200768 1370104243200 1412920000800 1507114667520 1541367273600 1614765715200 1674571852800 1695504000960 1761562598400 1808537601024 1883893334400 1937718858240 2055156364800 2119380001200 2153020953600 2260672001280 2422148572800 2466187637760 2511857779200 2712806401536 2825840001600 3014229335040 3082734547200 3229531430400 3391008001920 3767786668800 3875437716480 4110312729600 4238760002400 4521344002560 4844297145600 5023715558400 5425612803072 5651680003200 6165469094400 6459062860800 6782016003840 7535573337600 8477520004800 9042688005120 9688594291200 11303360006400 12330938188800 13564032007680 15071146675200 16955040009600 19377188582400 22606720012800 27128064015360 33910080019200 45213440025600 67820160038400 135640320076800
- Sum of all divisors σ(n): 633329673539248
- Sum of proper divisors (its aliquot sum) s(n): 497689353462448
- 135640320076800 is an abundant number, because the sum of its proper divisors (497689353462448) is greater than itself. Its abundance is 362049033385648
Bases of 135640320076800
- Binary: 111101101011101001110010001100001101100000000002
- Hexadecimal: 0x7B5D39186C00
- Base-36: 1C2WAWG000
Squares and roots of 135640320076800
- 135640320076800 squared (1356403200768002) is 18398296430536753157898240000
- 135640320076800 cubed (1356403200768003) is 2495550816705852135963550443563384832000000
-
The
square root of 135640320076800 is 11646472.4306031825 -
The
cube root of 135640320076800 is 51380.2565742725
Scales and comparisons
How big is 135640320076800?- 135,640,320,076,800 seconds is equal to 4,312,942 years, 32 weeks.
-
To count from 1 to 135,640,320,076,800 would take you about ten million, seven hundred eighty-two thousand, three hundred fifty-six 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 135640320076800 cubic inches would be around 4281.7 feet tall.
Recreational maths with 135640320076800
- 135640320076800 backwards is 008670023046531
- 135640320076800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135640320076800's digits is 45
- More coming soon!
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"Number 135640320076800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 135640320076800 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/135640320076800/
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The information we have on file for 135640320076800 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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