135668851344000
135,668,851,344,000 is an even composite number composed of eight prime numbers multiplied together.
135668851344000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 135668851344000:
27 × 33 × 53 × 13 × 37 × 53 × 97 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 37 × 53 × 97 × 127)See below for interesting mathematical facts about the number 135668851344000 from the Numbermatics database.
Names of 135668851344000
- Cardinal: 135668851344000 can be written as One hundred thirty-five trillion, six hundred sixty-eight billion, eight hundred fifty-one million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.35668851344 × 1014
Factors of 135668851344000
Divisors of 135668851344000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 45 48 50 52 53 54 60 64 65 72 74 75 78 80 90 96 97 100 104 106 108 111 117 120 125 127 128 130 135 144 148 150 156 159 160 180 185 192 194 195 200 208 212 216 222 225 234 240 250 254 260 265 270 288 291 296 300 312 318 320 325 333 351 360 370 375 381 384 388 390 400 416 424 432 444 450 468 477 480 481 485 500 508 520 530 540 555 576 582 585 592 600 624 635 636 640 650 666 675 689 702 720 740 750 762 776 780 795 800 832 848 864 873 888 900 925 936 954 960 962 970 975 999 1000 1016 1040 1060 1080 1110 1125 1143 1152 1164 1170 1184 1200 1248 1261 1270 1272 1300 1325 1332 1350 1378 1404 1431 1440 1443 1455 1480 1500 1524 1552 1560 1590 1600 1625 1651 1664 1665 1696 1728 1746 1755 1776 1800 1850 1872 1905 1908 1920 1924 1940 1950 1961 1998 2000 2032 2067 2080 2120 2160 2220 2250 2286 2328 2340 2368 2385 2400 2405 2425 2496 2522 2540 2544 2600 2619 2650 2664 2700 2756 2775 2808 2862 2880 2886 2910 2925 2960 3000 3048 3104 3120 3175 3180 3200 3250 3302 3330 3375 3392 3429 3445 3456 3492 3510 3552 3589 3600 3700 3744 3783 3810 3816 3848 3880 3900 3922 3975 3996 4000 4064 4134 4160 4240 4320 4329 4365 4440 4500 4572 4625 4656 4680 4699 4736 4770 4800 4810 4850 4875 4953 4992 4995 5044 5080 5088 5141 5200 5238 5300 5328 5400 5512 5550 5616 5715 5724 5760 5772 5820 5850 5883 5920 6000 6096 6201 6208 6240 6305 6350 6360 6500 6604 6625 6660 6731 6750 6784 6858 6890 6984 7020 7104 7155 7178 7200 7215 7275 7400 7488 7566 7620 7632 7696 7760 7800 7844 7950 7992 8000 8128 8255 8268 8320 8325 8480 8640 8658 8730 8775 8880 9000 9144 9250 9312 9360 9398 9525 9540 9600 9620 9700 9750 9805 9906 9990 10088 10160 10176 10282 10335 10400 10476 10600 10656 10767 10800 11024 11100 11232 11349 11430 11448 11544 11640 11700 11766 11840 11925 12000 12025 12125 12192 12319 12402 12416 12480 12610 12700 12720 12987 13000 13095 13208 13250 13320 13462 13500 13716 13780 13875 13968 14040 14097 14208 14310 14356 14400 14430 14550 14625 14800 14859 14976 15132 15240 15264 15392 15423 15520 15600 15688 15875 15900 15984 16000 16256 16510 16536 16650 16960 17145 17225 17280 17316 17460 17550 17649 17760 17945 18000 18288 18500 18603 18624 18720 18796 18915 19050 19080 19240 19400 19500 19610 19812 19875 19980 20176 20193 20320 20352 20564 20670 20800 20952 21200 21312 21534 21600 21645 21825 22048 22200 22464 22698 22860 22896 23088 23280 23400 23495 23532 23680 23850 24000 24050 24250 24384 24638 24765 24804 24960 24975 25220 25400 25440 25493 25705 25974 26000 26190 26416 26500 26640 26924 27000 27432 27560 27750 27936 28080 28194 28575 28620 28712 28800 28860 29100 29250 29415 29600 29718 30264 30480 30528 30784 30846 31005 31040 31200 31376 31525 31750 31800 31968 32301 33020 33072 33300 33655 33920 34047 34290 34450 34632 34920 35100 35298 35520 35775 35890 36000 36075 36375 36576 36957 37000 37206 37248 37440 37592 37830 38100 38160 38480 38800 39000 39220 39624 39750 39960 40352 40386 40640 41128 41275 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452229504480 458340714000 466215984000 471072400500 502477227200 511957929600 521803274400 534129336000 542675405376 565286880600 579781416000 602972672640 611120952000 628096534000 639947412000 652254093000 678344256720 695737699200 699323976000 706608600750 733345142400 753715840800 847930320900 853263216000 869672124000 904459008960 916681428000 942144801000 1004954454400 1043606548800 1059912901125 1068258672000 1085350810752 1130573761200 1159562832000 1222241904000 1256193068000 1279894824000 1304508186000 1356688513440 1398647952000 1413217201500 1507431681600 1695860641800 1739344248000 1808918017920 1833362856000 1884289602000 2087213097600 2119825802250 2261147522400 2512386136000 2559789648000 2609016372000 2713377026880 2826434403000 3014863363200 3391721283600 3478688496000 3666725712000 3768579204000 4239651604500 4522295044800 5024772272000 5218032744000 5426754053760 5652868806000 6783442567200 7537158408000 8479303209000 9044590089600 10436065488000 11305737612000 13566885134400 15074316816000 16958606418000 22611475224000 27133770268800 33917212836000 45222950448000 67834425672000 135668851344000
- Sum of all divisors σ(n): 573411247718400
- Sum of proper divisors (its aliquot sum) s(n): 437742396374400
- 135668851344000 is an abundant number, because the sum of its proper divisors (437742396374400) is greater than itself. Its abundance is 302073545030400
Bases of 135668851344000
- Binary: 111101101100011110111011011000100000010100000002
- Hexadecimal: 0x7B63DDB10280
- Base-36: 1C39ER82O0
Squares and roots of 135668851344000
- 135668851344000 squared (1356688513440002) is 18406037225000370606336000000
- 135668851344000 cubed (1356688513440003) is 2497125928110705560135905928515584000000000
-
The
square root of 135668851344000 is 11647697.2549942249 -
The
cube root of 135668851344000 is 51383.8588489149
Scales and comparisons
How big is 135668851344000?- 135,668,851,344,000 seconds is equal to 4,313,849 years, 42 weeks, 5 days.
-
To count from 1 to 135,668,851,344,000 would take you about ten million, seven hundred eighty-four thousand, six hundred twenty-four 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 135668851344000 cubic inches would be around 4282 feet tall.
Recreational maths with 135668851344000
- 135668851344000 backwards is 000443158866531
- 135668851344000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135668851344000's digits is 54
- More coming soon!
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"Number 135668851344000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 135668851344000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/135668851344000/
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The information we have on file for 135668851344000 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 135668851344000, math, Factors of 135668851344000, curriculum, school, college, exams, university, Prime factorization of 135668851344000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, six hundred sixty-eight billion, eight hundred fifty-one million, three hundred forty-four thousand.