13746889728000
13,746,889,728,000 is an even composite number composed of seven prime numbers multiplied together.
13746889728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, four hundred eighty divisors.
Prime factorization of 13746889728000:
213 × 34 × 53 × 11 × 13 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 19 × 61)See below for interesting mathematical facts about the number 13746889728000 from the Numbermatics database.
Names of 13746889728000
- Cardinal: 13746889728000 can be written as Thirteen trillion, seven hundred forty-six billion, eight hundred eighty-nine million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3746889728 × 1013
Factors of 13746889728000
Divisors of 13746889728000
- Number of divisors d(n): 4480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 25 26 27 30 32 33 36 38 39 40 44 45 48 50 52 54 55 57 60 61 64 65 66 72 75 76 78 80 81 88 90 95 96 99 100 104 108 110 114 117 120 122 125 128 130 132 135 143 144 150 152 156 160 162 165 171 176 180 183 190 192 195 198 200 208 209 216 220 225 228 234 240 244 247 250 256 260 264 270 275 285 286 288 297 300 304 305 312 320 324 325 330 342 351 352 360 366 375 380 384 390 396 400 405 416 418 429 432 440 450 456 468 475 480 488 494 495 500 512 513 520 528 540 549 550 570 572 576 585 594 600 608 610 624 627 640 648 650 660 671 675 684 702 704 715 720 732 741 750 760 768 780 792 793 800 810 825 832 836 855 858 864 880 891 900 912 915 936 950 960 975 976 988 990 1000 1024 1026 1040 1045 1053 1056 1080 1098 1100 1125 1140 1144 1152 1159 1170 1188 1200 1216 1220 1235 1248 1254 1280 1287 1296 1300 1320 1342 1350 1368 1375 1404 1408 1425 1430 1440 1464 1482 1485 1500 1520 1525 1536 1539 1560 1584 1586 1600 1620 1625 1647 1650 1664 1672 1710 1716 1728 1755 1760 1782 1800 1824 1830 1872 1881 1900 1920 1950 1952 1976 1980 2000 2013 2025 2048 2052 2080 2090 2106 2112 2145 2160 2196 2200 2223 2250 2280 2288 2304 2318 2340 2375 2376 2379 2400 2432 2440 2470 2475 2496 2508 2560 2565 2574 2592 2600 2640 2684 2700 2717 2736 2745 2750 2808 2816 2850 2860 2880 2925 2928 2964 2970 3000 3040 3050 3072 3078 3120 3135 3168 3172 3200 3240 3250 3294 3300 3328 3344 3355 3375 3420 3432 3456 3477 3510 3520 3564 3575 3600 3648 3660 3705 3744 3762 3800 3840 3861 3900 3904 3952 3960 3965 4000 4026 4050 4096 4104 4125 4160 4180 4212 4224 4275 4290 4320 4392 4400 4446 4455 4500 4560 4575 4576 4608 4636 4680 4750 4752 4758 4800 4864 4875 4880 4940 4941 4950 4992 5016 5120 5130 5148 5184 5200 5225 5265 5280 5368 5400 5434 5472 5490 5500 5616 5632 5643 5700 5720 5760 5795 5850 5856 5928 5940 6000 6039 6080 6100 6144 6156 6175 6240 6270 6336 6344 6400 6435 6480 6500 6588 6600 6656 6669 6688 6710 6750 6840 6864 6912 6954 7020 7040 7125 7128 7137 7150 7200 7296 7320 7410 7425 7488 7524 7600 7625 7680 7695 7722 7800 7808 7904 7920 7930 8000 8052 8100 8151 8192 8208 8235 8250 8320 8360 8424 8448 8550 8580 8640 8723 8775 8784 8800 8892 8910 9000 9120 9150 9152 9216 9272 9360 9405 9500 9504 9516 9600 9728 9750 9760 9880 9882 9900 9984 10032 10065 10125 10240 10260 10296 10368 10400 10431 10450 10530 10560 10725 10736 10800 10868 10944 10980 11000 11115 11232 11264 11286 11400 11440 11520 11583 11590 11700 11712 11856 11880 11895 12000 12078 12160 12200 12288 12312 12350 12375 12480 12540 12672 12688 12749 12800 12825 12870 12960 13000 13176 13200 13312 13338 13376 13420 13500 13585 13680 13725 13728 13824 13908 14040 14080 14250 14256 14274 14300 14400 14592 14625 14640 14820 14850 14976 15048 15067 15200 15250 15360 15390 15444 15600 15616 15675 15808 15840 15860 16000 16104 16200 16302 16416 16470 16500 16640 16720 16775 16848 16896 16929 17100 17160 17280 17385 17446 17550 17568 17600 17784 17820 17875 18000 18117 18240 18300 18304 18432 18525 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859180608000 916459315200 1057453056000 1145574144000 1249717248000 1374688972800 1527432192000 1718361216000 2291148288000 2749377945600 3436722432000 4582296576000 6873444864000 13746889728000
- Sum of all divisors σ(n): 64422024226560
- Sum of proper divisors (its aliquot sum) s(n): 50675134498560
- 13746889728000 is an abundant number, because the sum of its proper divisors (50675134498560) is greater than itself. Its abundance is 36928244770560
Bases of 13746889728000
- Binary: 110010000000101100100111101010100000000000002
- Hexadecimal: 0xC80B27AA000
- Base-36: 4VF8F7K00
Squares and roots of 13746889728000
- 13746889728000 squared (137468897280002) is 188976977193791913984000000
- 13746889728000 cubed (137468897280003) is 2597845666613828327716109156352000000000
-
The
square root of 13746889728000 is 3707679.8308376089 -
The
cube root of 13746889728000 is 23955.2927710317
Scales and comparisons
How big is 13746889728000?- 13,746,889,728,000 seconds is equal to 437,108 years, 29 weeks, 5 days.
-
To count from 1 to 13,746,889,728,000 would take you about one million, ninety-two thousand, seven 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 13746889728000 cubic inches would be around 1996.3 feet tall.
Recreational maths with 13746889728000
- 13746889728000 backwards is 00082798864731
- The number of decimal digits it has is: 14
- The sum of 13746889728000's digits is 63
- More coming soon!
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"Number 13746889728000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 13746889728000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/13746889728000/
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The information we have on file for 13746889728000 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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