135982288728000
135,982,288,728,000 is an even composite number composed of six prime numbers multiplied together.
135982288728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 135982288728000:
26 × 311 × 53 × 112 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 61)See below for interesting mathematical facts about the number 135982288728000 from the Numbermatics database.
Names of 135982288728000
- Cardinal: 135982288728000 can be written as One hundred thirty-five trillion, nine hundred eighty-two billion, two hundred eighty-eight million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35982288728 × 1014
Factors of 135982288728000
Divisors of 135982288728000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 61 64 65 66 72 75 78 80 81 88 90 96 99 100 104 108 110 117 120 121 122 125 130 132 135 143 144 150 156 160 162 165 176 180 183 192 195 198 200 208 216 220 225 234 240 242 243 244 250 260 264 270 275 286 288 297 300 305 312 320 324 325 330 351 352 360 363 366 375 390 396 400 405 416 429 432 440 450 468 480 484 486 488 495 500 520 528 540 549 550 572 576 585 594 600 605 610 624 648 650 660 671 675 702 704 715 720 726 729 732 750 780 792 793 800 810 825 832 858 864 880 891 900 915 936 960 968 972 975 976 990 1000 1040 1053 1056 1080 1089 1098 1100 1125 1144 1170 1188 1200 1210 1215 1220 1248 1287 1296 1300 1320 1342 1350 1375 1404 1430 1440 1452 1458 1464 1485 1500 1525 1560 1573 1584 1586 1600 1620 1625 1647 1650 1716 1728 1755 1760 1782 1800 1815 1830 1872 1936 1944 1950 1952 1980 2000 2013 2025 2080 2106 2112 2145 2160 2178 2187 2196 2200 2250 2288 2340 2376 2379 2400 2420 2430 2440 2475 2496 2574 2592 2600 2640 2673 2684 2700 2745 2750 2808 2860 2880 2904 2916 2925 2928 2970 3000 3025 3050 3120 3146 3159 3168 3172 3240 3250 3267 3294 3300 3355 3375 3432 3510 3520 3564 3575 3600 3630 3645 3660 3744 3861 3872 3888 3900 3904 3960 3965 4000 4026 4050 4125 4160 4212 4290 4320 4356 4374 4392 4400 4455 4500 4575 4576 4680 4719 4752 4758 4800 4840 4860 4875 4880 4941 4950 5148 5184 5200 5265 5280 5346 5368 5400 5445 5490 5500 5616 5720 5808 5832 5850 5856 5940 6000 6039 6050 6075 6100 6240 6292 6318 6336 6344 6435 6480 6500 6534 6561 6588 6600 6710 6750 6864 7020 7128 7137 7150 7200 7260 7290 7320 7381 7425 7488 7625 7722 7744 7776 7800 7865 7920 7930 8000 8019 8052 8100 8235 8250 8424 8580 8640 8712 8723 8748 8775 8784 8800 8910 9000 9075 9150 9152 9360 9438 9477 9504 9516 9680 9720 9750 9760 9801 9882 9900 10065 10125 10296 10400 10530 10560 10692 10725 10736 10800 10890 10935 10980 11000 11232 11440 11583 11616 11664 11700 11712 11880 11895 12000 12078 12100 12150 12200 12375 12480 12584 12636 12688 12870 12960 13000 13068 13122 13176 13200 13365 13420 13500 13725 13728 14040 14157 14256 14274 14300 14400 14520 14580 14625 14640 14762 14823 14850 15125 15250 15444 15552 15600 15730 15795 15840 15860 16038 16104 16200 16335 16470 16500 16775 16848 17160 17424 17446 17496 17550 17568 17600 17820 17875 18000 18117 18150 18225 18300 18720 18876 18954 19008 19032 19305 19360 19440 19500 19520 19602 19683 19764 19800 19825 20130 20250 20592 20800 21060 21384 21411 21450 21472 21600 21780 21870 21960 22000 22143 22275 22464 22875 22880 23166 23232 23328 23400 23595 23760 23790 24000 24057 24156 24200 24300 24400 24705 24750 25168 25272 25376 25740 25920 26000 26136 26169 26244 26325 26352 26400 26730 26840 27000 27225 27450 27456 28080 28314 28431 28512 28548 28600 29040 29160 29250 29280 29403 29524 29646 29700 30195 30250 30375 30500 30888 31200 31460 31590 31680 31720 32076 32175 32208 32400 32670 32805 32940 33000 33550 33696 34320 34749 34848 34892 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280955142000 283296434850 290560446000 302182863840 309050656200 314773816500 316975032000 326880501750 335758737600 339955721820 343389618000 348672535200 362619436608 371536308000 374606856000 377728579800 386313320250 387413928000 412067541600 418407042240 419698422000 424944652275 435840669000 445843569600 453274295760 457852824000 472160724750 475462548000 494481049920 503638106400 515084427000 523008802800 543929154912 557304462000 559597896000 561910284000 566592869700 581120892000 604365727680 618101312400 629547633000 653761003500 679911443640 686779236000 697345070400 708241087125 743072616000 755457159600 772626640500 824135083200 839396844000 849889304550 871681338000 906548591520 944321449500 950925096000 1007276212800 1030168854000 1046017605600 1087858309824 1114608924000 1123820568000 1133185739400 1162241784000 1236202624800 1259095266000 1307522007000 1359822887280 1373558472000 1416482174250 1510914319200 1545253281000 1678793688000 1699778609100 1743362676000 1813097183040 1888642899000 2060337708000 2092035211200 2124723261375 2229217848000 2266371478800 2472405249600 2518190532000 2615044014000 2719645774560 2832964348500 3021828638400 3090506562000 3399557218200 3486725352000 3777285798000 4120675416000 4249446522750 4532742957600 5036381064000 5230088028000 5439291549120 5665928697000 6181013124000 6799114436400 7554571596000 8498893045500 9065485915200 10460176056000 11331857394000 12362026248000 13598228872800 15109143192000 16997786091000 22663714788000 27196457745600 33995572182000 45327429576000 67991144364000 135982288728000
- Sum of all divisors σ(n): 607748547020160
- Sum of proper divisors (its aliquot sum) s(n): 471766258292160
- 135982288728000 is an abundant number, because the sum of its proper divisors (471766258292160) is greater than itself. Its abundance is 335783969564160
Bases of 135982288728000
- Binary: 111101110101100110110000000001111101111110000002
- Hexadecimal: 0x7BACD803EFC0
- Base-36: 1C79EFR000
Squares and roots of 135982288728000
- 135982288728000 squared (1359822887280002) is 18491182847705155857984000000
- 135982288728000 cubed (1359822887280003) is 2514473364918883756094620852004352000000000
-
The
square root of 135982288728000 is 11661144.4004437231 -
The
cube root of 135982288728000 is 51423.3993305813
Scales and comparisons
How big is 135982288728000?- 135,982,288,728,000 seconds is equal to 4,323,816 years, 8 weeks, 2 days, 12 hours.
-
To count from 1 to 135,982,288,728,000 would take you about ten million, eight hundred nine thousand, five hundred forty 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 135982288728000 cubic inches would be around 4285.3 feet tall.
Recreational maths with 135982288728000
- 135982288728000 backwards is 000827882289531
- The number of decimal digits it has is: 15
- The sum of 135982288728000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 135982288728000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 135982288728000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/135982288728000/
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Numbermatics. 2024. "Number 135982288728000 - Facts about the integer". https://numbermatics.com/n/135982288728000/
The information we have on file for 135982288728000 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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