135729819680000
135,729,819,680,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135729819680000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
135729819680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 135729819680000:
28 × 54 × 73 × 13 × 17 × 192 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 17 × 19 × 19 × 31)See below for interesting mathematical facts about the number 135729819680000 from the Numbermatics database.
Names of 135729819680000
- Cardinal: 135729819680000 can be written as One hundred thirty-five trillion, seven hundred twenty-nine billion, eight hundred nineteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3572981968 × 1014
Factors of 135729819680000
Divisors of 135729819680000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 19 20 25 26 28 31 32 34 35 38 40 49 50 52 56 62 64 65 68 70 76 80 85 91 95 98 100 104 112 119 124 125 128 130 133 136 140 152 155 160 170 175 182 190 196 200 208 217 221 224 238 245 247 248 250 256 260 266 272 280 304 310 320 323 325 340 343 350 361 364 380 392 400 403 416 425 434 442 448 455 475 476 490 494 496 500 520 527 532 544 560 589 595 608 620 625 637 640 646 650 665 680 686 700 722 728 760 775 784 800 806 832 833 850 868 875 884 896 910 931 950 952 980 988 992 1000 1040 1054 1064 1085 1088 1105 1120 1178 1190 1216 1225 1235 1240 1250 1274 1280 1292 1300 1330 1360 1372 1400 1444 1456 1519 1520 1547 1550 1568 1600 1612 1615 1625 1664 1666 1700 1715 1729 1736 1750 1768 1792 1805 1820 1862 1900 1904 1960 1976 1984 2000 2015 2080 2108 2125 2128 2170 2176 2210 2240 2261 2275 2356 2375 2380 2432 2450 2470 2480 2500 2527 2548 2584 2600 2635 2660 2720 2744 2800 2821 2888 2912 2945 2975 3038 3040 3094 3100 3136 3185 3200 3224 3230 3250 3325 3328 3332 3400 3430 3458 3472 3500 3536 3610 3640 3689 3724 3800 3808 3875 3920 3952 3968 4000 4030 4123 4160 4165 4199 4216 4250 4256 4340 4352 4375 4420 4459 4480 4522 4550 4655 4693 4712 4750 4760 4864 4900 4940 4960 5000 5054 5096 5168 5200 5270 5320 5425 5440 5488 5525 5600 5642 5776 5824 5831 5890 5950 6076 6080 6125 6137 6175 6188 6200 6272 6370 6400 6448 6460 6500 6517 6650 6664 6800 6851 6860 6916 6944 7000 7072 7220 7280 7378 7448 7595 7600 7616 7657 7735 7750 7840 7904 7936 8000 8060 8075 8125 8246 8320 8330 8398 8432 8500 8512 8575 8645 8680 8750 8840 8918 8960 9025 9044 9100 9310 9386 9424 9500 9520 9800 9880 9920 10000 10013 10075 10108 10192 10336 10400 10540 10625 10633 10640 10829 10850 10880 10976 11050 11191 11200 11284 11305 11375 11552 11648 11662 11780 11875 11900 12103 12152 12160 12250 12274 12350 12376 12400 12544 12635 12740 12896 12920 13000 13034 13175 13300 13328 13600 13702 13720 13832 13888 14000 14105 14144 14440 14560 14725 14756 14875 14896 15190 15200 15232 15314 15470 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33932454920000 67864909840000 135729819680000
- Sum of all divisors σ(n): 490464321177600
- Sum of proper divisors (its aliquot sum) s(n): 354734501497600
- 135729819680000 is an abundant number, because the sum of its proper divisors (354734501497600) is greater than itself. Its abundance is 219004681817600
Bases of 135729819680000
- Binary: 111101101110010000011111010111111111101000000002
- Hexadecimal: 0x7B720FAFFD00
- Base-36: 1C41F273SW
Squares and roots of 135729819680000
- 135729819680000 squared (1357298196800002) is 18422583950365315302400000000
- 135729819680000 cubed (1357298196800003) is 2500493997622746316121096671232000000000000
-
The
square root of 135729819680000 is 11650314.1451207229 -
The
cube root of 135729819680000 is 51391.5548409701
Scales and comparisons
How big is 135729819680000?- 135,729,819,680,000 seconds is equal to 4,315,788 years, 22 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 135,729,819,680,000 would take you about ten million, seven hundred eighty-nine thousand, four hundred seventy-one 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 135729819680000 cubic inches would be around 4282.6 feet tall.
Recreational maths with 135729819680000
- 135729819680000 backwards is 000086918927531
- The number of decimal digits it has is: 15
- The sum of 135729819680000's digits is 59
- More coming soon!
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"Number 135729819680000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 135729819680000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/135729819680000/
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The information we have on file for 135729819680000 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 135729819680000, math, Factors of 135729819680000, curriculum, school, college, exams, university, Prime factorization of 135729819680000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, seven hundred twenty-nine billion, eight hundred nineteen million, six hundred eighty thousand.