136468883636800
136,468,883,636,800 is an even composite number composed of eight prime numbers multiplied together.
136468883636800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 136468883636800:
26 × 52 × 11 × 133 × 17 × 31 × 37 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 13 × 17 × 31 × 37 × 181)See below for interesting mathematical facts about the number 136468883636800 from the Numbermatics database.
Names of 136468883636800
- Cardinal: 136468883636800 can be written as One hundred thirty-six trillion, four hundred sixty-eight billion, eight hundred eighty-three million, six hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.364688836368 × 1014
Factors of 136468883636800
Divisors of 136468883636800
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 31 32 34 37 40 44 50 52 55 62 64 65 68 74 80 85 88 100 104 110 124 130 136 143 148 155 160 169 170 176 181 185 187 200 208 220 221 248 260 272 275 286 296 310 320 325 338 340 341 352 362 370 374 400 403 407 416 425 440 442 481 496 520 527 544 550 572 592 620 629 650 676 680 682 704 715 724 740 748 775 800 806 814 832 845 850 880 884 905 925 935 962 992 1040 1054 1088 1100 1105 1144 1147 1184 1240 1258 1300 1352 1360 1364 1430 1448 1480 1496 1550 1600 1612 1628 1690 1700 1705 1760 1768 1810 1850 1859 1870 1924 1984 1991 2015 2035 2080 2108 2197 2200 2210 2288 2294 2353 2368 2405 2431 2480 2516 2600 2635 2704 2720 2728 2860 2873 2896 2960 2992 3077 3100 3145 3224 3256 3380 3400 3410 3520 3536 3575 3620 3700 3718 3740 3848 3982 4030 4070 4160 4216 4225 4394 4400 4420 4433 4525 4576 4588 4675 4706 4810 4862 4960 5032 5200 5239 5270 5291 5408 5440 5456 5525 5611 5720 5735 5746 5792 5797 5920 5984 6154 6200 6253 6290 6448 6512 6697 6760 6800 6820 6851 6919 7072 7150 7240 7400 7436 7480 7696 7964 8060 8140 8177 8432 8450 8525 8788 8800 8840 8866 9050 9152 9176 9295 9350 9412 9620 9724 9920 9955 10064 10075 10175 10400 10478 10540 10582 10816 10912 10985 11050 11222 11440 11470 11492 11584 11594 11765 11840 11968 12025 12155 12308 12400 12506 12580 12617 12896 13024 13175 13394 13520 13600 13640 13702 13838 14144 14300 14365 14480 14800 14872 14911 14960 15385 15392 15725 15928 16120 16280 16354 16864 16900 17050 17576 17600 17680 17732 18100 18352 18590 18700 18824 19240 19448 19499 19910 20128 20150 20350 20800 20956 21080 21164 21824 21970 22100 22165 22444 22880 22940 22984 23188 23530 24050 24167 24310 24616 24800 25012 25160 25234 25792 25883 26048 26195 26350 26455 26788 27040 27200 27280 27404 27676 28055 28600 28675 28730 28960 28985 29600 29744 29822 29920 30589 30770 30784 31265 31450 31603 31856 32240 32560 32708 33485 33728 33800 33847 34100 34255 34595 35152 35360 35464 36200 36704 37180 37349 37400 37648 38480 38896 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248125242976 250861918450 258954238400 262440160840 275138878300 283719092800 308753130400 310156553720 321103255616 328050201050 335304382400 338632465600 341172209092 364890063200 368834820640 376985866400 387695692150 400202004800 401379069520 403754093600 419904257344 426465261365 440222205280 461043525800 477163928800 496250485952 501723836900 524880321680 550277756600 617506260800 620313107440 656100402100 682344418184 729780126400 737669641280 753971732800 775391384300 802758139040 807508187200 852930522730 880444410560 922087051600 954327857600 1003447673800 1049760643360 1100555513200 1240626214880 1312200804200 1364688836368 1550782768600 1605516278080 1705861045460 1844174103200 2006895347600 2099521286720 2132326306825 2201111026400 2481252429760 2624401608400 2729377672736 3101565537200 3411722090920 3688348206400 4013790695200 4264652613650 4402222052800 5248803216800 5458755345472 6203131074400 6823444181840 8027581390400 8529305227300 10497606433600 12406262148800 13646888363680 17058610454600 27293776727360 34117220909200 68234441818400 136468883636800
- Sum of all divisors σ(n): 447920651243520
- Sum of proper divisors (its aliquot sum) s(n): 311451767606720
- 136468883636800 is an abundant number, because the sum of its proper divisors (311451767606720) is greater than itself. Its abundance is 174982883969920
Bases of 136468883636800
- Binary: 111110000011110001000110101010100000010010000002
- Hexadecimal: 0x7C1E23550240
- Base-36: 1CDGXTSMKG
Squares and roots of 136468883636800
- 136468883636800 squared (1364688836368002) is 18623756201074458794314240000
- 136468883636800 cubed (1364688836368003) is 2541563217884562740333806444013228032000000
-
The
square root of 136468883636800 is 11681989.7122365247 -
The
cube root of 136468883636800 is 51484.6636253909
Scales and comparisons
How big is 136468883636800?- 136,468,883,636,800 seconds is equal to 4,339,288 years, 19 weeks, 3 days, 26 minutes, 40 seconds.
-
To count from 1 to 136,468,883,636,800 would take you about ten million, eight hundred forty-eight thousand, two hundred twenty 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 136468883636800 cubic inches would be around 4290.4 feet tall.
Recreational maths with 136468883636800
- 136468883636800 backwards is 008636388864631
- The number of decimal digits it has is: 15
- The sum of 136468883636800's digits is 70
- More coming soon!
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"Number 136468883636800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 136468883636800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/136468883636800/
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The information we have on file for 136468883636800 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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