138561415948800000
138,561,415,948,800,000 is an even composite number composed of seven prime numbers multiplied together.
138561415948800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, three hundred sixty divisors.
Prime factorization of 138561415948800000:
212 × 34 × 55 × 132 × 17 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 181 × 257)See below for interesting mathematical facts about the number 138561415948800000 from the Numbermatics database.
Names of 138561415948800000
- Cardinal: 138561415948800000 can be written as One hundred thirty-eight quadrillion, five hundred sixty-one trillion, four hundred fifteen billion, nine hundred forty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.385614159488 × 1017
Factors of 138561415948800000
Divisors of 138561415948800000
- Number of divisors d(n): 9360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 162 169 170 180 181 192 195 200 204 208 216 221 225 234 240 250 255 256 257 260 270 272 288 300 306 312 320 324 325 338 340 351 360 362 375 384 390 400 405 408 416 425 432 442 450 459 468 480 500 507 510 512 514 520 540 543 544 576 585 600 612 624 625 640 648 650 663 675 676 680 702 720 724 750 765 768 771 780 800 810 816 832 845 850 864 884 900 905 918 936 960 975 1000 1014 1020 1024 1028 1040 1053 1080 1086 1088 1105 1125 1152 1170 1200 1224 1248 1250 1275 1280 1285 1296 1300 1326 1350 1352 1360 1377 1404 1440 1448 1500 1521 1530 1536 1542 1560 1600 1620 1625 1629 1632 1664 1690 1700 1728 1755 1768 1800 1810 1836 1872 1875 1920 1950 1989 2000 2025 2028 2040 2048 2056 2080 2106 2125 2160 2172 2176 2210 2250 2295 2304 2313 2340 2353 2400 2448 2496 2500 2535 2550 2560 2570 2592 2600 2652 2700 2704 2715 2720 2754 2808 2873 2880 2896 2925 3000 3042 3060 3072 3077 3084 3120 3125 3200 3240 3250 3258 3264 3315 3328 3341 3375 3380 3400 3456 3510 3536 3600 3620 3672 3744 3750 3825 3840 3855 3900 3978 4000 4050 4056 4080 4096 4112 4160 4212 4225 4250 4320 4344 4352 4369 4420 4500 4525 4563 4590 4608 4626 4680 4706 4800 4875 4887 4896 4992 5000 5070 5100 5120 5140 5184 5200 5265 5304 5400 5408 5430 5440 5508 5525 5616 5625 5746 5760 5792 5850 5967 6000 6084 6120 6144 6154 6168 6240 6250 6375 6400 6425 6480 6500 6516 6528 6630 6656 6682 6750 6760 6800 6885 6912 6939 7020 7059 7072 7200 7240 7344 7488 7500 7605 7650 7680 7710 7800 7956 8000 8100 8112 8125 8145 8160 8224 8320 8424 8450 8500 8619 8640 8688 8704 8738 8775 8840 9000 9050 9126 9180 9216 9231 9252 9360 9375 9412 9600 9750 9774 9792 9945 9984 10000 10023 10125 10140 10200 10240 10280 10368 10400 10530 10608 10625 10800 10816 10860 10880 11016 11050 11232 11250 11475 11492 11520 11565 11584 11700 11765 11934 12000 12168 12240 12288 12308 12336 12480 12500 12675 12750 12800 12850 12960 13000 13032 13056 13107 13260 13312 13364 13500 13520 13575 13600 13689 13770 13824 13878 14040 14118 14144 14365 14400 14480 14625 14661 14688 14976 15000 15210 15300 15360 15385 15420 15600 15912 16000 16200 16224 16250 16290 16320 16448 16575 16640 16705 16848 16875 16900 17000 17238 17280 17376 17408 17476 17550 17680 17901 18000 18100 18252 18360 18432 18462 18504 18720 18750 18824 19125 19200 19275 19500 19548 19584 19890 19968 20000 20046 20250 20280 20400 20480 20560 20736 20800 20817 21060 21125 21177 21216 21250 21600 21632 21720 21760 21845 22032 22100 22464 22500 22625 22815 22950 22984 23040 23130 23168 23400 23530 23868 24000 24336 24375 24435 24480 24616 24672 24960 25000 25350 25500 25600 25700 25857 25920 26000 26064 26112 26214 26325 26520 26624 26728 27000 27040 27150 27200 27378 27540 27625 27648 27693 27756 28080 28125 28236 28288 28730 28800 28960 29250 29322 29376 29835 29952 30000 30069 30420 30589 30600 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3552856819200000 3848928220800000 4075335763200000 4330044248400000 4618713864960000 5131904294400000 5329285228800000 5542456637952000 5773392331200000 6928070797440000 7697856441600000 8150671526400000 8660088496800000 9237427729920000 10658570457600000 11546784662400000 13856141594880000 15395712883200000 17320176993600000 23093569324800000 27712283189760000 34640353987200000 46187138649600000 69280707974400000 138561415948800000
- Sum of all divisors σ(n): 598782672073810224
- Sum of proper divisors (its aliquot sum) s(n): 460221256125010224
- 138561415948800000 is an abundant number, because the sum of its proper divisors (460221256125010224) is greater than itself. Its abundance is 321659840176210224
Bases of 138561415948800000
- Binary: 1111011000100010011011111101010010011010000010000000000002
- Hexadecimal: 0x1EC44DFA9341000
- Base-36: 11WBX7QA6800
Squares and roots of 138561415948800000
- 138561415948800000 squared (1385614159488000002) is 19199265989736367004221440000000000
- 138561415948800000 cubed (1385614159488000003) is 2660277480715510060126098713342902272000000000000000
-
The
square root of 138561415948800000 is 372238385.9152626403 -
The
cube root of 138561415948800000 is 517464.7501938271
Scales and comparisons
How big is 138561415948800000?- 138,561,415,948,800,000 seconds is equal to 4,405,824,428 years, 29 weeks, 5 days.
-
To count from 1 to 138,561,415,948,800,000 would take you about thirteen billion, two hundred seventeen million, four hundred seventy-three thousand, two hundred eighty-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 138561415948800000 cubic inches would be around 43122.1 feet tall.
Recreational maths with 138561415948800000
- 138561415948800000 backwards is 000008849514165831
- The number of decimal digits it has is: 18
- The sum of 138561415948800000's digits is 63
- More coming soon!
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"Number 138561415948800000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138561415948800000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138561415948800000/
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The information we have on file for 138561415948800000 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 138561415948800000, math, Factors of 138561415948800000, curriculum, school, college, exams, university, Prime factorization of 138561415948800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred sixty-one trillion, four hundred fifteen billion, nine hundred forty-eight million, eight hundred thousand.