138688207257600000
138,688,207,257,600,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138688207257600000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 14784 divisors.
138688207257600000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fourteen thousand, seven hundred eighty-four divisors.
Prime factorization of 138688207257600000:
221 × 36 × 55 × 7 × 11 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 13 × 29)See below for interesting mathematical facts about the number 138688207257600000 from the Numbermatics database.
Names of 138688207257600000
- Cardinal: 138688207257600000 can be written as One hundred thirty-eight quadrillion, six hundred eighty-eight trillion, two hundred seven billion, two hundred fifty-seven million, six hundred thousand.
Scientific notation
- Scientific notation: 1.386882072576 × 1017
Factors of 138688207257600000
Divisors of 138688207257600000
- Number of divisors d(n): 14784
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 29 30 32 33 35 36 39 40 42 44 45 48 50 52 54 55 56 58 60 63 64 65 66 70 72 75 77 78 80 81 84 87 88 90 91 96 99 100 104 105 108 110 112 116 117 120 125 126 128 130 132 135 140 143 144 145 150 154 156 160 162 165 168 174 175 176 180 182 189 192 195 198 200 203 208 210 216 220 224 225 231 232 234 240 243 250 252 256 260 261 264 270 273 275 280 286 288 290 297 300 308 312 315 319 320 324 325 330 336 348 350 351 352 360 364 375 377 378 384 385 390 396 400 405 406 416 420 429 432 435 440 448 450 455 462 464 468 480 486 495 500 504 512 520 522 525 528 540 546 550 560 567 572 576 580 585 594 600 609 616 624 625 630 638 640 648 650 660 672 675 693 696 700 702 704 715 720 725 728 729 750 754 756 768 770 780 783 792 800 810 812 819 825 832 840 858 864 870 875 880 891 896 900 910 924 928 936 945 957 960 972 975 990 1000 1001 1008 1015 1024 1040 1044 1050 1053 1056 1080 1092 1100 1120 1125 1131 1134 1144 1152 1155 1160 1170 1188 1200 1215 1218 1232 1248 1250 1260 1276 1280 1287 1296 1300 1305 1320 1344 1350 1365 1375 1386 1392 1400 1404 1408 1430 1440 1450 1456 1458 1485 1500 1508 1512 1536 1540 1560 1566 1575 1584 1595 1600 1620 1624 1625 1638 1650 1664 1680 1701 1716 1728 1740 1750 1755 1760 1782 1792 1800 1820 1827 1848 1856 1872 1875 1885 1890 1914 1920 1925 1944 1950 1980 2000 2002 2016 2025 2030 2048 2079 2080 2088 2100 2106 2112 2145 2160 2175 2184 2200 2233 2240 2250 2262 2268 2275 2288 2304 2310 2320 2340 2349 2376 2400 2430 2436 2457 2464 2475 2496 2500 2520 2552 2560 2574 2592 2600 2610 2625 2639 2640 2673 2688 2700 2730 2750 2772 2784 2800 2808 2816 2835 2860 2871 2880 2900 2912 2916 2925 2970 3000 3003 3016 3024 3045 3072 3080 3120 3125 3132 3150 3159 3168 3190 3200 3240 3248 3250 3276 3300 3328 3360 3375 3393 3402 3432 3456 3465 3480 3500 3510 3520 3564 3575 3584 3600 3625 3640 3645 3654 3696 3712 3744 3750 3770 3780 3828 3840 3850 3861 3888 3900 3915 3960 4000 4004 4032 4050 4060 4095 4096 4125 4147 4158 4160 4176 4200 4212 4224 4290 4320 4350 4368 4375 4400 4455 4466 4480 4500 4524 4536 4550 4576 4608 4620 4640 4680 4698 4725 4752 4785 4800 4860 4872 4875 4914 4928 4950 4992 5000 5005 5040 5075 5103 5104 5120 5148 5184 5200 5220 5250 5265 5278 5280 5346 5376 5400 5460 5481 5500 5544 5568 5600 5616 5625 5632 5655 5670 5720 5742 5760 5775 5800 5824 5832 5850 5940 6000 6006 6032 6048 6075 6090 6144 6160 6237 6240 6250 6264 6300 6318 6336 6380 6400 6435 6480 6496 6500 6525 6552 6600 6656 6699 6720 6750 6786 6804 6825 6864 6875 6912 6930 6960 7000 7020 7040 7047 7128 7150 7168 7200 7250 7280 7290 7308 7371 7392 7424 7425 7488 7500 7540 7560 7656 7680 7700 7722 7776 7800 7830 7875 7917 7920 7975 8000 8008 8019 8064 8100 8120 8125 8190 8192 8250 8294 8316 8320 8352 8400 8424 8448 8505 8580 8613 8640 8700 8736 8750 8775 8800 8910 8932 8960 9000 9009 9048 9072 9100 9135 9152 9216 9240 9280 9360 9375 9396 9425 9450 9477 9504 9570 9600 9625 9720 9744 9750 9828 9856 9900 9984 10000 10010 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15409800806400000 17336025907200000 19812601036800000 23114701209600000 27737641451520000 34672051814400000 46229402419200000 69344103628800000 138688207257600000
- Sum of all divisors σ(n): 721992565210855680
- Sum of proper divisors (its aliquot sum) s(n): 583304357953255680
- 138688207257600000 is an abundant number, because the sum of its proper divisors (583304357953255680) is greater than itself. Its abundance is 444616150695655680
Bases of 138688207257600000
- Binary: 1111011001011100000110000100100000010000000000000000000002
- Hexadecimal: 0x1ECB83090200000
- Base-36: 11XKV6UPS000
Squares and roots of 138688207257600000
- 138688207257600000 squared (1386882072576000002) is 19234418832327013312757760000000000
- 138688207257600000 cubed (1386882072576000003) is 2667587065497253405218942589102718976000000000000000
-
The
square root of 138688207257600000 is 372408656.2602969357 -
The
cube root of 138688207257600000 is 517622.5383014601
Scales and comparisons
How big is 138688207257600000?- 138,688,207,257,600,000 seconds is equal to 4,409,856,000 years.
-
To count from 1 to 138,688,207,257,600,000 would take you about thirteen billion, two hundred twenty-nine million, five hundred sixty-eight thousand 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 138688207257600000 cubic inches would be around 43135.2 feet tall.
Recreational maths with 138688207257600000
- 138688207257600000 backwards is 000006752702886831
- 138688207257600000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138688207257600000's digits is 63
- More coming soon!
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The information we have on file for 138688207257600000 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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