13431434688000
13,431,434,688,000 is an even composite number composed of seven prime numbers multiplied together.
13431434688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 13431434688000:
29 × 33 × 53 × 72 × 41 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 41 × 53 × 73)See below for interesting mathematical facts about the number 13431434688000 from the Numbermatics database.
Names of 13431434688000
- Cardinal: 13431434688000 can be written as Thirteen trillion, four hundred thirty-one billion, four hundred thirty-four million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.3431434688 × 1013
Factors of 13431434688000
Divisors of 13431434688000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 41 42 45 48 49 50 53 54 56 60 63 64 70 72 73 75 80 82 84 90 96 98 100 105 106 108 112 120 123 125 126 128 135 140 144 146 147 150 159 160 164 168 175 180 189 192 196 200 205 210 212 216 219 224 225 240 245 246 250 252 256 265 270 280 287 288 292 294 300 315 318 320 328 336 350 360 365 369 371 375 378 384 392 400 410 420 424 432 438 441 448 450 477 480 490 492 500 504 511 512 525 530 540 560 574 576 584 588 600 615 630 636 640 656 657 672 675 700 720 730 735 738 742 750 756 768 784 795 800 820 840 848 861 864 875 876 882 896 900 945 954 960 980 984 1000 1008 1022 1025 1050 1060 1080 1095 1107 1113 1120 1125 1148 1152 1168 1176 1200 1225 1230 1260 1272 1280 1312 1314 1323 1325 1344 1350 1400 1431 1435 1440 1460 1470 1476 1484 1500 1512 1533 1536 1568 1575 1590 1600 1640 1680 1696 1722 1728 1750 1752 1764 1792 1800 1825 1845 1855 1890 1908 1920 1960 1968 1971 2000 2009 2016 2044 2050 2100 2120 2160 2173 2190 2205 2214 2226 2240 2250 2296 2304 2336 2352 2385 2400 2450 2460 2520 2544 2555 2560 2583 2597 2624 2625 2628 2646 2650 2688 2700 2800 2862 2870 2880 2920 2940 2952 2968 2993 3000 3024 3066 3075 3136 3150 3180 3200 3280 3285 3339 3360 3375 3392 3444 3456 3500 3504 3528 3577 3584 3600 3650 3675 3690 3710 3780 3816 3840 3869 3920 3936 3942 3975 4000 4018 4032 4088 4100 4200 4240 4305 4320 4346 4380 4410 4428 4452 4480 4500 4592 4599 4608 4672 4704 4725 4770 4800 4900 4920 5040 5088 5110 5125 5166 5194 5248 5250 5256 5292 5300 5376 5400 5475 5535 5565 5600 5724 5740 5760 5840 5880 5904 5936 5986 6000 6027 6048 6125 6132 6150 6272 6300 6360 6400 6519 6560 6570 6615 6625 6678 6720 6750 6784 6888 6912 7000 7008 7056 7154 7155 7175 7200 7300 7350 7380 7420 7560 7632 7665 7680 7738 7749 7791 7840 7872 7875 7884 7950 8000 8036 8064 8176 8200 8400 8480 8610 8640 8692 8760 8820 8856 8904 8960 8979 9000 9125 9184 9198 9225 9275 9344 9408 9450 9540 9600 9800 9840 9855 10017 10045 10080 10176 10220 10250 10332 10388 10496 10500 10512 10584 10600 10731 10752 10800 10865 10950 11025 11070 11130 11200 11448 11480 11520 11607 11680 11760 11808 11872 11925 11972 12000 12054 12096 12250 12264 12300 12544 12600 12720 12775 12800 12915 12985 13038 13120 13140 13230 13250 13356 13440 13500 13568 13776 13797 13824 14000 14016 14112 14308 14310 14350 14400 14600 14700 14760 14840 14965 15120 15211 15264 15330 15375 15476 15498 15582 15680 15744 15750 15768 15900 16000 16072 16128 16352 16400 16425 16695 16800 16960 17220 17280 17384 17520 17640 17712 17808 17885 17920 17958 18000 18081 18250 18368 18375 18396 18450 18550 18688 18816 18900 19080 19200 19345 19557 19600 19680 19710 19875 20034 20090 20160 20352 20440 20500 20664 20776 20951 20992 21000 21024 21168 21200 21462 21525 21600 21730 21900 22050 22140 22260 22400 22896 22960 22995 23040 23214 23360 23373 23520 23616 23625 23744 23850 23944 24000 24108 24192 24500 24528 24600 25088 25200 25440 25550 25830 25970 26076 26240 26280 26460 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62182568000 63355824000 63959212800 65519193600 67157173440 68527728000 69955389000 71065792000 74619081600 76751055360 79949016000 81898992000 83946466800 84474432000 89542897920 91370304000 91996128000 93273852000 95938819200 99492108800 104933083500 106598688000 107451477504 109198656000 111928622400 119923524000 124365136000 126711648000 127918425600 134314346880 137055456000 139910778000 149238163200 159898032000 163797984000 167892933600 179085795840 183992256000 186547704000 191877638400 209866167000 213197376000 223857244800 239847048000 248730272000 253423296000 268628693760 274110912000 279821556000 298476326400 319796064000 327595968000 335785867200 373095408000 383755276800 419732334000 447714489600 479694096000 497460544000 537257387520 559643112000 639592128000 671571734400 746190816000 839464668000 895428979200 959388192000 1119286224000 1343143468800 1492381632000 1678929336000 1918776384000 2238572448000 2686286937600 3357858672000 4477144896000 6715717344000 13431434688000
- Sum of all divisors σ(n): 61067458932480
- Sum of proper divisors (its aliquot sum) s(n): 47636024244480
- 13431434688000 is an abundant number, because the sum of its proper divisors (47636024244480) is greater than itself. Its abundance is 34204589556480
Bases of 13431434688000
- Binary: 110000110111001111111110010010110110000000002
- Hexadecimal: 0xC373FE4B600
- Base-36: 4REBDF9C0
Squares and roots of 13431434688000
- 13431434688000 squared (134314346880002) is 180403437778009657344000000
- 13431434688000 cubed (134314346880003) is 2423076992006008555249195548672000000000
-
The
square root of 13431434688000 is 3664892.1795872795 -
The
cube root of 13431434688000 is 23770.6359891111
Scales and comparisons
How big is 13431434688000?- 13,431,434,688,000 seconds is equal to 427,078 years, 4 weeks.
-
To count from 1 to 13,431,434,688,000 would take you about one million, sixty-seven thousand, six hundred ninety-five 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 13431434688000 cubic inches would be around 1980.9 feet tall.
Recreational maths with 13431434688000
- 13431434688000 backwards is 00088643413431
- 13431434688000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13431434688000's digits is 45
- More coming soon!
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"Number 13431434688000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13431434688000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13431434688000/
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The information we have on file for 13431434688000 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 13431434688000, math, Factors of 13431434688000, curriculum, school, college, exams, university, Prime factorization of 13431434688000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred thirty-one billion, four hundred thirty-four million, six hundred eighty-eight thousand.