131334432768000
131,334,432,768,000 is an even composite number composed of eight prime numbers multiplied together.
131334432768000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 131334432768000:
214 × 32 × 53 × 7 × 11 × 37 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 37 × 41 × 61)See below for interesting mathematical facts about the number 131334432768000 from the Numbermatics database.
Names of 131334432768000
- Cardinal: 131334432768000 can be written as One hundred thirty-one trillion, three hundred thirty-four billion, four hundred thirty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31334432768 × 1014
Factors of 131334432768000
Divisors of 131334432768000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 37 40 41 42 44 45 48 50 55 56 60 61 63 64 66 70 72 74 75 77 80 82 84 88 90 96 99 100 105 110 111 112 120 122 123 125 126 128 132 140 144 148 150 154 160 164 165 168 175 176 180 183 185 192 198 200 205 210 220 222 224 225 231 240 244 246 250 252 256 259 264 275 280 287 288 296 300 305 308 315 320 328 330 333 336 350 352 360 366 369 370 375 384 385 396 400 407 410 420 427 440 444 448 450 451 462 480 488 492 495 500 504 512 518 525 528 549 550 555 560 574 576 592 600 610 615 616 630 640 656 660 666 671 672 693 700 704 720 732 738 740 750 768 770 777 792 800 814 820 825 840 854 861 875 880 888 896 900 902 915 924 925 960 976 984 990 1000 1008 1024 1025 1036 1050 1056 1098 1100 1110 1120 1125 1148 1152 1155 1184 1200 1220 1221 1230 1232 1260 1280 1281 1295 1312 1320 1332 1342 1344 1353 1375 1386 1400 1408 1435 1440 1464 1476 1480 1500 1517 1525 1536 1540 1554 1575 1584 1600 1628 1640 1650 1665 1680 1708 1722 1750 1760 1776 1792 1800 1804 1830 1845 1848 1850 1920 1925 1952 1968 1980 2000 2013 2016 2035 2048 2050 2072 2100 2112 2135 2196 2200 2220 2240 2250 2255 2257 2296 2304 2310 2331 2368 2400 2440 2442 2460 2464 2475 2501 2520 2560 2562 2583 2590 2624 2625 2640 2664 2684 2688 2706 2745 2750 2772 2775 2800 2816 2849 2870 2880 2928 2952 2960 3000 3034 3050 3072 3075 3080 3108 3150 3157 3168 3200 3256 3280 3300 3330 3355 3360 3416 3444 3465 3500 3520 3552 3584 3600 3608 3660 3663 3690 3696 3700 3840 3843 3850 3885 3904 3936 3960 4000 4026 4032 4059 4070 4096 4100 4125 4144 4200 4224 4270 4305 4392 4400 4440 4480 4500 4510 4514 4551 4575 4592 4608 4620 4625 4662 4697 4736 4800 4880 4884 4920 4928 4950 5002 5040 5120 5124 5125 5166 5180 5248 5250 5280 5328 5368 5376 5412 5490 5500 5544 5550 5600 5632 5698 5740 5760 5775 5856 5904 5920 6000 6039 6068 6100 6105 6144 6150 6160 6216 6300 6314 6336 6400 6405 6475 6512 6560 6600 6660 6710 6720 6765 6771 6832 6888 6930 7000 7040 7104 7168 7175 7200 7216 7320 7326 7380 7392 7400 7503 7585 7625 7680 7686 7700 7770 7808 7872 7875 7920 8000 8052 8064 8118 8140 8192 8200 8250 8288 8325 8400 8448 8540 8547 8610 8784 8800 8880 8960 9000 9020 9028 9102 9150 9184 9216 9225 9240 9250 9324 9394 9471 9472 9600 9625 9760 9768 9840 9856 9900 10004 10065 10080 10175 10240 10248 10250 10332 10360 10496 10500 10560 10619 10656 10675 10736 10752 10824 10980 11000 11088 11100 11200 11264 11275 11285 11396 11480 11520 11550 11655 11712 11808 11840 12000 12078 12136 12200 12210 12288 12300 12320 12375 12432 12505 12600 12628 12672 12800 12810 12915 12950 13024 13120 13200 13320 13420 13440 13530 13542 13653 13664 13725 13776 13860 13875 14000 14080 14091 14208 14245 14336 14350 14400 14432 14640 14652 14760 14784 14800 15006 15170 15250 15360 15372 15375 15400 15540 15616 15744 15750 15785 15799 15840 16000 16104 16128 16236 16280 16384 16400 16500 16576 16650 16687 16775 16800 16896 17080 17094 17220 17325 17507 17568 17600 17760 17920 18000 18040 18056 18204 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3752412364800 3979831296000 4104201024000 4377814425600 4690515456000 5253377310720 5472268032000 5969746944000 6254020608000 6566721638400 7296357376000 8208402048000 8755628851200 9381030912000 10944536064000 11939493888000 13133443276800 14592714752000 16416804096000 18762061824000 21889072128000 26266886553600 32833608192000 43778144256000 65667216384000 131334432768000
- Sum of all divisors σ(n): 631248619502592
- Sum of proper divisors (its aliquot sum) s(n): 499914186734592
- 131334432768000 is an abundant number, because the sum of its proper divisors (499914186734592) is greater than itself. Its abundance is 368579753966592
Bases of 131334432768000
- Binary: 111011101110010101011100011011001000000000000002
- Hexadecimal: 0x7772AE364000
- Base-36: 1AJY7EBCW0
Squares and roots of 131334432768000
- 131334432768000 squared (1313344327680002) is 17248733230492312141824000000
- 131334432768000 cubed (1313344327680003) is 2265352594793260016531254208888832000000000
-
The
square root of 131334432768000 is 11460123.5930508185 -
The
cube root of 131334432768000 is 50830.7129216803
Scales and comparisons
How big is 131334432768000?- 131,334,432,768,000 seconds is equal to 4,176,028 years, 37 weeks, 2 days, 8 hours.
-
To count from 1 to 131,334,432,768,000 would take you about ten million, four hundred forty thousand and 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 131334432768000 cubic inches would be around 4235.9 feet tall.
Recreational maths with 131334432768000
- 131334432768000 backwards is 000867234433131
- 131334432768000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131334432768000's digits is 45
- More coming soon!
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"Number 131334432768000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 131334432768000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/131334432768000/
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The information we have on file for 131334432768000 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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