136342728368000
136,342,728,368,000 is an even composite number composed of seven prime numbers multiplied together.
136342728368000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 136342728368000:
27 × 53 × 7 × 112 × 192 × 29 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 19 × 19 × 29 × 31 × 31)See below for interesting mathematical facts about the number 136342728368000 from the Numbermatics database.
Names of 136342728368000
- Cardinal: 136342728368000 can be written as One hundred thirty-six trillion, three hundred forty-two billion, seven hundred twenty-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.36342728368 × 1014
Factors of 136342728368000
Divisors of 136342728368000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 29 31 32 35 38 40 44 50 55 56 58 62 64 70 76 77 80 88 95 100 110 112 116 121 124 125 128 133 140 145 152 154 155 160 175 176 190 200 203 209 217 220 224 232 242 248 250 266 275 280 290 304 308 310 319 320 341 350 352 361 380 385 400 406 418 434 440 448 464 475 484 496 500 532 550 551 560 580 589 605 608 616 620 638 640 665 682 700 704 722 725 760 770 775 800 812 836 847 868 875 880 896 899 928 950 961 968 992 1000 1015 1045 1064 1085 1100 1102 1120 1160 1178 1210 1216 1232 1240 1276 1330 1364 1375 1400 1408 1444 1450 1463 1520 1540 1550 1595 1600 1624 1672 1694 1705 1736 1750 1760 1798 1805 1856 1900 1922 1925 1936 1984 2000 2030 2090 2128 2170 2200 2204 2233 2240 2299 2320 2356 2375 2387 2420 2432 2464 2480 2527 2552 2660 2728 2750 2755 2800 2888 2900 2926 2945 3025 3040 3080 3100 3190 3200 3248 3325 3344 3388 3410 3472 3500 3509 3520 3596 3610 3625 3712 3751 3800 3844 3850 3857 3872 3875 3968 3971 4000 4060 4123 4180 4235 4256 4340 4400 4408 4466 4480 4495 4598 4640 4712 4750 4774 4805 4840 4928 4960 5054 5075 5104 5225 5320 5425 5456 5500 5510 5600 5776 5800 5852 5890 6050 6061 6080 6160 6200 6293 6380 6479 6496 6650 6688 6727 6776 6820 6944 7000 7018 7040 7192 7220 7250 7315 7502 7600 7688 7700 7714 7744 7750 7942 7975 8000 8120 8246 8360 8470 8512 8525 8680 8800 8816 8932 8990 9025 9196 9280 9424 9500 9548 9610 9625 9680 9856 9889 9920 10108 10150 10208 10450 10469 10571 10640 10850 10912 11000 11020 11165 11191 11200 11495 11552 11600 11704 11780 11935 12100 12122 12160 12320 12400 12586 12635 12760 12958 12992 13300 13376 13454 13552 13640 13775 13888 14000 14036 14384 14440 14500 14630 14725 15004 15125 15200 15376 15400 15428 15488 15500 15884 15950 16000 16093 16240 16492 16625 16720 16940 17024 17050 17081 17360 17545 17600 17632 17864 17980 18050 18259 18392 18560 18755 18848 19000 19096 19220 19250 19285 19360 19778 19840 19855 20216 20300 20416 20615 20900 20938 21142 21175 21280 21700 21824 22000 22040 22330 22382 22400 22475 22990 23104 23200 23408 23560 23870 24025 24200 24244 24563 24640 24800 25172 25270 25375 25520 25916 25984 26125 26257 26600 26752 26908 27104 27125 27280 27550 27776 27797 27869 28000 28072 28768 28880 29000 29260 29450 30008 30250 30305 30400 30752 30800 30856 31000 31465 31768 31900 32186 32395 32480 32984 33250 33440 33635 33880 34100 34162 34720 35090 35200 35264 35728 35960 36100 36518 36575 36784 37510 37696 38000 38192 38440 38500 38570 38720 39556 39710 39875 40432 40600 40832 41230 41800 41876 42284 42350 42427 42560 42625 43400 43648 43681 44000 44080 44660 44764 44950 45125 45353 45980 46208 46400 46816 47120 47740 48050 48400 48488 49126 49280 49445 49600 50344 50540 50750 51040 51832 52250 52345 52514 52855 53200 53816 54208 54250 54560 55100 55594 55738 55825 55955 56000 56144 57475 57536 57760 58000 58520 58900 59675 60016 60500 60610 60800 61504 61600 61712 62000 62930 63175 63536 63800 64372 64790 64960 65968 66500 66671 66880 67270 67760 68200 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940294678400 973876631200 1025133296000 1065177565375 1090741826944 1099538132000 1126799408000 1175368348000 1217345789000 1239479348800 1363427283680 1435186614400 1549349186000 1704284104600 1770684784000 1793983268000 1947753262400 2130355130750 2199076264000 2350736696000 2434691578000 2478958697600 2726854567360 3098698372000 3408568209200 3587966536000 3895506524800 4260710261500 4398152528000 4701473392000 4869383156000 5453709134720 6197396744000 6817136418400 7175933072000 8521420523000 9738766312000 12394793488000 13634272836800 17042841046000 19477532624000 27268545673600 34085682092000 68171364184000 136342728368000
- Sum of all divisors σ(n): 480398768740800
- Sum of proper divisors (its aliquot sum) s(n): 344056040372800
- 136342728368000 is an abundant number, because the sum of its proper divisors (344056040372800) is greater than itself. Its abundance is 207713312004800
Bases of 136342728368000
- Binary: 111110000000000110000111110010001011111100000002
- Hexadecimal: 0x7C00C3E45F80
- Base-36: 1CBUZG7E68
Squares and roots of 136342728368000
- 136342728368000 squared (1363427283680002) is 18589339578830231943424000000
- 136342728368000 cubed (1363427283680003) is 2534521276736961837048695175852032000000000
-
The
square root of 136342728368000 is 11676588.9012159711 -
The
cube root of 136342728368000 is 51468.7941616385
Scales and comparisons
How big is 136342728368000?- 136,342,728,368,000 seconds is equal to 4,335,277 years, 1 week, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 136,342,728,368,000 would take you about ten million, eight hundred thirty-eight thousand, one hundred ninety-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 136342728368000 cubic inches would be around 4289.1 feet tall.
Recreational maths with 136342728368000
- 136342728368000 backwards is 000863827243631
- The number of decimal digits it has is: 15
- The sum of 136342728368000's digits is 53
- More coming soon!
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"Number 136342728368000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 136342728368000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/136342728368000/
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The information we have on file for 136342728368000 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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