136764442214400000
136,764,442,214,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 136764442214400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 12960 divisors.
136764442214400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand, nine hundred sixty divisors.
Prime factorization of 136764442214400000:
219 × 3 × 55 × 72 × 112 × 13 × 192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 19 × 19)See below for interesting mathematical facts about the number 136764442214400000 from the Numbermatics database.
Names of 136764442214400000
- Cardinal: 136764442214400000 can be written as One hundred thirty-six quadrillion, seven hundred sixty-four trillion, four hundred forty-two billion, two hundred fourteen million, four hundred thousand.
Scientific notation
- Scientific notation: 1.367644422144 × 1017
Factors of 136764442214400000
Divisors of 136764442214400000
- Number of divisors d(n): 12960
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 19 20 21 22 24 25 26 28 30 32 33 35 38 39 40 42 44 48 49 50 52 55 56 57 60 64 65 66 70 75 76 77 78 80 84 88 91 95 96 98 100 104 105 110 112 114 120 121 125 128 130 132 133 140 143 147 150 152 154 156 160 165 168 175 176 182 190 192 195 196 200 208 209 210 220 224 228 231 240 242 245 247 250 256 260 264 266 273 275 280 285 286 294 300 304 308 312 320 325 330 336 350 352 361 363 364 375 380 384 385 390 392 399 400 416 418 420 429 440 448 455 456 462 475 480 484 490 494 500 512 520 525 528 532 539 546 550 560 570 572 588 600 605 608 616 624 625 627 637 640 650 660 665 672 700 704 715 722 726 728 735 741 750 760 768 770 780 784 798 800 825 832 836 840 847 858 875 880 896 910 912 924 931 950 960 968 975 980 988 1000 1001 1024 1040 1045 1050 1056 1064 1078 1083 1092 1100 1120 1140 1144 1155 1176 1200 1210 1216 1225 1232 1235 1248 1250 1254 1274 1280 1300 1320 1330 1344 1365 1375 1400 1408 1425 1430 1444 1452 1456 1463 1470 1482 1500 1520 1536 1540 1560 1568 1573 1596 1600 1617 1625 1650 1664 1672 1680 1694 1716 1729 1750 1760 1792 1805 1815 1820 1824 1848 1862 1875 1900 1911 1920 1925 1936 1950 1960 1976 1995 2000 2002 2048 2080 2090 2100 2112 2128 2145 2156 2166 2184 2200 2240 2275 2280 2288 2299 2310 2352 2375 2400 2420 2432 2450 2464 2470 2496 2500 2508 2527 2541 2548 2560 2600 2625 2640 2660 2688 2695 2717 2730 2750 2793 2800 2816 2850 2860 2888 2904 2912 2926 2940 2964 3000 3003 3025 3040 3072 3080 3120 3125 3135 3136 3146 3185 3192 3200 3234 3250 3300 3325 3328 3344 3360 3388 3432 3458 3500 3520 3575 3584 3610 3630 3640 3648 3675 3696 3705 3724 3750 3800 3822 3840 3850 3872 3900 3920 3952 3971 3990 4000 4004 4096 4125 4160 4180 4200 4224 4235 4256 4290 4312 4332 4368 4375 4389 4400 4480 4550 4560 4576 4598 4620 4655 4693 4704 4719 4750 4800 4840 4864 4875 4900 4928 4940 4992 5000 5005 5016 5054 5082 5096 5120 5187 5200 5225 5250 5280 5320 5376 5390 5415 5434 5460 5500 5586 5600 5632 5700 5720 5775 5776 5808 5824 5852 5880 5928 5929 6000 6006 6050 6080 6125 6144 6160 6175 6240 6250 6270 6272 6292 6370 6384 6400 6468 6500 6600 6650 6656 6688 6720 6776 6825 6864 6875 6897 6916 7000 7007 7040 7125 7150 7168 7220 7260 7280 7296 7315 7350 7392 7410 7448 7500 7581 7600 7644 7680 7700 7744 7800 7840 7865 7904 7942 7980 8000 8008 8085 8125 8151 8192 8250 8320 8360 8400 8448 8470 8512 8580 8624 8645 8664 8736 8750 8778 8800 8960 9025 9075 9100 9120 9152 9196 9240 9310 9375 9386 9408 9438 9500 9555 9600 9625 9680 9728 9750 9800 9856 9880 9975 9984 10000 10010 10032 10108 10164 10192 10240 10241 10374 10400 10450 10500 10560 10640 10725 10752 10780 10830 10868 10920 11000 11011 11172 11200 11264 11375 11400 11440 11495 11550 11552 11616 11648 11704 11760 11856 11858 11875 11913 12000 12012 12100 12103 12160 12250 12288 12320 12350 12480 12500 12540 12544 12584 12635 12705 12740 12768 12800 12936 13000 13125 13200 13300 13312 13376 13440 13475 13552 13585 13650 13728 13750 13794 13832 13965 14000 14014 14079 14080 14250 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- Sum of all divisors σ(n): 662477659623133200
- Sum of proper divisors (its aliquot sum) s(n): 525713217408733200
- 136764442214400000 is an abundant number, because the sum of its proper divisors (525713217408733200) is greater than itself. Its abundance is 388948775194333200
Bases of 136764442214400000
- Binary: 1111001011110001010001001000111000001100000000000000000002
- Hexadecimal: 0x1E5E2891C180000
- Base-36: 11EMY5E574LC
Squares and roots of 136764442214400000
- 136764442214400000 squared (1367644422144000002) is 18704512654215956775567360000000000
- 136764442214400000 cubed (1367644422144000003) is 2558112240046031788970490356494761984000000000000000
-
The
square root of 136764442214400000 is 369816768.4332337033 -
The
cube root of 136764442214400000 is 515218.0459967519
Scales and comparisons
How big is 136764442214400000?- 136,764,442,214,400,000 seconds is equal to 4,348,686,222 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 136,764,442,214,400,000 would take you about thirteen billion, forty-six million, fifty-eight thousand, six hundred sixty-six 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 136764442214400000 cubic inches would be around 42934.8 feet tall.
Recreational maths with 136764442214400000
- 136764442214400000 backwards is 000004412244467631
- 136764442214400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136764442214400000's digits is 48
- More coming soon!
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"Number 136764442214400000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 136764442214400000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/136764442214400000/
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The information we have on file for 136764442214400000 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 136764442214400000, math, Factors of 136764442214400000, curriculum, school, college, exams, university, Prime factorization of 136764442214400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six quadrillion, seven hundred sixty-four trillion, four hundred forty-two billion, two hundred fourteen million, four hundred thousand.