135344134016000
135,344,134,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135344134016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4224 divisors.
135344134016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 135344134016000:
210 × 53 × 73 × 132 × 17 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 17 × 29 × 37)See below for interesting mathematical facts about the number 135344134016000 from the Numbermatics database.
Names of 135344134016000
- Cardinal: 135344134016000 can be written as One hundred thirty-five trillion, three hundred forty-four billion, one hundred thirty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 1.35344134016 × 1014
Factors of 135344134016000
Divisors of 135344134016000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 32 34 35 37 40 49 50 52 56 58 64 65 68 70 74 80 85 91 98 100 104 112 116 119 125 128 130 136 140 145 148 160 169 170 175 182 185 196 200 203 208 221 224 232 238 245 250 256 259 260 272 280 290 296 320 325 338 340 343 350 364 370 377 392 400 406 416 425 442 448 455 464 476 481 490 493 500 512 518 520 544 560 580 592 595 629 637 640 650 676 680 686 700 725 728 740 754 784 800 812 832 833 845 850 875 884 896 910 925 928 952 962 980 986 1000 1015 1024 1036 1040 1073 1088 1105 1120 1160 1183 1184 1190 1225 1258 1274 1280 1295 1300 1352 1360 1372 1400 1421 1450 1456 1480 1508 1547 1568 1600 1624 1625 1664 1666 1690 1700 1715 1750 1768 1792 1813 1820 1850 1856 1885 1904 1924 1960 1972 2000 2030 2072 2080 2125 2146 2176 2210 2240 2275 2320 2366 2368 2380 2405 2450 2465 2516 2548 2560 2590 2600 2639 2704 2720 2744 2800 2842 2873 2900 2912 2960 2975 3016 3094 3136 3145 3185 3200 3248 3250 3328 3332 3367 3380 3400 3430 3451 3500 3536 3584 3625 3626 3640 3700 3712 3770 3808 3848 3920 3944 4000 4060 4144 4160 4165 4225 4250 4292 4352 4403 4420 4459 4480 4550 4625 4640 4732 4736 4760 4810 4900 4901 4930 5032 5075 5096 5120 5180 5200 5278 5365 5408 5440 5488 5525 5600 5684 5746 5800 5824 5831 5915 5920 5950 6032 6125 6188 6253 6272 6290 6370 6400 6409 6475 6496 6500 6656 6664 6734 6760 6800 6860 6902 7000 7072 7105 7168 7250 7252 7280 7400 7424 7511 7540 7616 7696 7735 7840 7888 8000 8120 8177 8281 8288 8320 8330 8450 8500 8575 8584 8704 8806 8840 8918 8960 9065 9100 9250 9280 9425 9464 9472 9520 9620 9800 9802 9860 9947 10064 10150 10192 10360 10400 10556 10730 10816 10829 10880 10976 11050 11200 11368 11375 11492 11600 11648 11662 11830 11840 11900 12025 12064 12250 12325 12376 12506 12544 12580 12691 12740 12800 12818 12950 12992 13000 13195 13312 13328 13468 13520 13600 13720 13804 13949 14000 14144 14210 14365 14500 14504 14560 14800 14848 14875 15022 15080 15232 15392 15470 15680 15725 15776 15925 16000 16240 16354 16562 16576 16640 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4667039104000 4833719072000 5205543616000 5413765360640 6767206700800 7961419648000 8459008376000 9667438144000 10411087232000 13534413401600 16918016752000 19334876288000 27068826803200 33836033504000 67672067008000 135344134016000
- Sum of all divisors σ(n): 479657101248000
- Sum of proper divisors (its aliquot sum) s(n): 344312967232000
- 135344134016000 is an abundant number, because the sum of its proper divisors (344312967232000) is greater than itself. Its abundance is 208968833216000
Bases of 135344134016000
- Binary: 111101100011000010000110000011111001100000000002
- Hexadecimal: 0x7B184307CC00
- Base-36: 1BZ48IWSU8
Squares and roots of 135344134016000
- 135344134016000 squared (1353441340160002) is 18318034612540968288256000000
- 135344134016000 cubed (1353441340160003) is 2479238531509471446296126182916096000000000
-
The
square root of 135344134016000 is 11633749.7831094855 -
The
cube root of 135344134016000 is 51342.8311094481
Scales and comparisons
How big is 135344134016000?- 135,344,134,016,000 seconds is equal to 4,303,524 years, 42 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 135,344,134,016,000 would take you about ten million, seven hundred fifty-eight thousand, eight hundred twelve 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 135344134016000 cubic inches would be around 4278.6 feet tall.
Recreational maths with 135344134016000
- 135344134016000 backwards is 000610431443531
- 135344134016000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135344134016000's digits is 35
- More coming soon!
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"Number 135344134016000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 135344134016000 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/135344134016000/
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The information we have on file for 135344134016000 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 135344134016000, math, Factors of 135344134016000, curriculum, school, college, exams, university, Prime factorization of 135344134016000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, three hundred forty-four billion, one hundred thirty-four million, sixteen thousand.