138158383104000
138,158,383,104,000 is an even composite number composed of seven prime numbers multiplied together.
138158383104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred fifty-two divisors.
Prime factorization of 138158383104000:
216 × 33 × 53 × 7 × 17 × 29 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 29 × 181)See below for interesting mathematical facts about the number 138158383104000 from the Numbermatics database.
Names of 138158383104000
- Cardinal: 138158383104000 can be written as One hundred thirty-eight trillion, one hundred fifty-eight billion, three hundred eighty-three million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.38158383104 × 1014
Factors of 138158383104000
Divisors of 138158383104000
- Number of divisors d(n): 4352
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 29 30 32 34 35 36 40 42 45 48 50 51 54 56 58 60 63 64 68 70 72 75 80 84 85 87 90 96 100 102 105 108 112 116 119 120 125 126 128 135 136 140 144 145 150 153 160 168 170 174 175 180 181 189 192 200 203 204 210 216 224 225 232 238 240 250 252 255 256 261 270 272 280 288 290 300 306 315 320 336 340 348 350 357 360 362 375 378 384 400 406 408 420 425 432 435 448 450 459 464 476 480 493 500 504 510 512 522 525 540 543 544 560 576 580 595 600 609 612 630 640 672 675 680 696 700 714 720 724 725 750 756 765 768 783 800 812 816 840 850 864 870 875 896 900 905 918 928 945 952 960 986 1000 1008 1015 1020 1024 1044 1050 1071 1080 1086 1088 1120 1125 1152 1160 1190 1200 1218 1224 1260 1267 1275 1280 1305 1344 1350 1360 1392 1400 1428 1440 1448 1450 1479 1500 1512 1530 1536 1566 1575 1600 1624 1629 1632 1680 1700 1728 1740 1750 1785 1792 1800 1810 1827 1836 1856 1890 1904 1920 1972 2000 2016 2030 2040 2048 2088 2100 2125 2142 2160 2172 2175 2176 2240 2250 2295 2304 2320 2380 2400 2436 2448 2465 2520 2534 2550 2560 2610 2625 2688 2700 2715 2720 2784 2800 2856 2880 2896 2900 2958 2975 3000 3024 3045 3060 3072 3077 3132 3150 3200 3213 3248 3258 3264 3360 3375 3400 3451 3456 3480 3500 3570 3584 3600 3620 3625 3654 3672 3712 3780 3801 3808 3825 3840 3915 3944 4000 4032 4060 4080 4096 4176 4200 4250 4284 4320 4344 4350 4352 4437 4480 4500 4525 4590 4608 4640 4725 4760 4800 4872 4887 4896 4930 5040 5068 5075 5100 5120 5220 5249 5250 5355 5376 5400 5430 5440 5481 5568 5600 5712 5760 5792 5800 5916 5950 6000 6048 6090 6120 6144 6154 6264 6300 6335 6375 6400 6426 6496 6516 6525 6528 6720 6750 6800 6902 6912 6960 7000 7140 7168 7200 7240 7250 7308 7344 7395 7424 7560 7602 7616 7650 7680 7830 7875 7888 8000 8064 8120 8145 8160 8192 8352 8400 8500 8568 8640 8688 8700 8704 8874 8925 8960 9000 9050 9135 9180 9216 9231 9280 9450 9520 9600 9744 9774 9792 9860 10080 10136 10150 10200 10240 10353 10440 10498 10500 10710 10752 10800 10860 10875 10880 10962 11136 11200 11403 11424 11475 11520 11584 11600 11832 11900 12000 12096 12180 12240 12288 12308 12325 12528 12600 12670 12750 12800 12852 12992 13032 13050 13056 13311 13440 13500 13575 13600 13804 13824 13920 14000 14280 14336 14400 14480 14500 14616 14688 14790 14848 14875 15120 15204 15225 15232 15300 15360 15385 15660 15747 15750 15776 16000 16065 16128 16240 16290 16320 16384 16704 16800 17000 17136 17255 17280 17376 17400 17408 17748 17850 17920 18000 18100 18270 18360 18432 18462 18560 18900 19005 19040 19125 19200 19488 19548 19575 19584 19720 20160 20272 20300 20400 20480 20706 20880 20996 21000 21420 21504 21539 21600 21720 21750 21760 21924 22185 22272 22400 22625 22806 22848 22950 23040 23168 23200 23625 23664 23800 24000 24192 24360 24435 24480 24576 24616 24650 25056 25200 25340 25375 25500 25600 25704 25984 26064 26100 26112 26245 26622 26775 26880 27000 27150 27200 27405 27608 27648 27693 27840 28000 28560 28672 28800 28960 29000 29232 29376 29580 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476408217600 479716608000 493422796800 507935232000 511697715200 529342464000 539681184000 541797580800 548247552000 552633532416 575659929600 580497408000 595510272000 614037258240 616778496000 639622144000 657897062400 677246976000 680583168000 690791915520 719574912000 730996736000 763305984000 767546572800 789476474880 794013696000 812696371200 822371328000 863489894400 902995968000 921055887360 952816435200 959433216000 986845593600 1015870464000 1023395430400 1079362368000 1096495104000 1105267064832 1151319859200 1160994816000 1191020544000 1233556992000 1279244288000 1315794124800 1354493952000 1381583831040 1439149824000 1535093145600 1588027392000 1625392742400 1644742656000 1726979788800 1842111774720 1918866432000 1973691187200 2031740928000 2158724736000 2192990208000 2302639718400 2382041088000 2467113984000 2558488576000 2708987904000 2763167662080 2878299648000 3070186291200 3289485312000 3453959577600 3837732864000 3947382374400 4063481856000 4317449472000 4605279436800 4764082176000 4934227968000 5116977152000 5526335324160 5756599296000 6578970624000 6907919155200 7675465728000 8126963712000 8634898944000 9210558873600 9868455936000 11513198592000 13815838310400 15350931456000 17269797888000 19736911872000 23026397184000 27631676620800 34539595776000 46052794368000 69079191552000 138158383104000
- Sum of all divisors σ(n): 643052361369600
- Sum of proper divisors (its aliquot sum) s(n): 504893978265600
- 138158383104000 is an abundant number, because the sum of its proper divisors (504893978265600) is greater than itself. Its abundance is 366735595161600
Bases of 138158383104000
- Binary: 111110110100111100000010101100100000000000000002
- Hexadecimal: 0x7DA781590000
- Base-36: 1CZ1325MO0
Squares and roots of 138158383104000
- 138158383104000 squared (1381583831040002) is 19087738821911632674816000000
- 138158383104000 cubed (1381583831040003) is 2637131132746760976721353180708864000000000
-
The
square root of 138158383104000 is 11754079.4239276773 -
The
cube root of 138158383104000 is 51696.2547315775
Scales and comparisons
How big is 138158383104000?- 138,158,383,104,000 seconds is equal to 4,393,009 years, 12 weeks.
-
To count from 1 to 138,158,383,104,000 would take you about ten million, nine hundred eighty-two thousand, five hundred twenty-three 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 138158383104000 cubic inches would be around 4308 feet tall.
Recreational maths with 138158383104000
- 138158383104000 backwards is 000401383851831
- 138158383104000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138158383104000's digits is 45
- More coming soon!
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"Number 138158383104000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138158383104000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138158383104000/
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The information we have on file for 138158383104000 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 138158383104000, math, Factors of 138158383104000, curriculum, school, college, exams, university, Prime factorization of 138158383104000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred fifty-eight billion, three hundred eighty-three million, one hundred four thousand.