138825361340928000
138,825,361,340,928,000 is an even composite number composed of five prime numbers multiplied together.
138825361340928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, three hundred sixty-eight divisors.
Prime factorization of 138825361340928000:
212 × 36 × 53 × 192 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 101 × 101 × 101)See below for interesting mathematical facts about the number 138825361340928000 from the Numbermatics database.
Names of 138825361340928000
- Cardinal: 138825361340928000 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-five trillion, three hundred sixty-one billion, three hundred forty million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38825361340928 × 1017
Factors of 138825361340928000
Divisors of 138825361340928000
- Number of divisors d(n): 4368
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 101 108 114 120 125 128 135 144 150 152 160 162 171 180 190 192 200 202 216 225 228 240 243 250 256 270 285 288 300 303 304 320 324 342 360 361 375 380 384 400 404 405 432 450 456 475 480 486 500 505 512 513 540 570 576 600 606 608 640 648 675 684 720 722 729 750 760 768 800 808 810 855 864 900 909 912 950 960 972 1000 1010 1024 1026 1080 1083 1125 1140 1152 1200 1212 1215 1216 1280 1296 1350 1368 1425 1440 1444 1458 1500 1515 1520 1536 1539 1600 1616 1620 1710 1728 1800 1805 1818 1824 1900 1919 1920 1944 2000 2020 2025 2048 2052 2160 2166 2250 2280 2304 2375 2400 2424 2430 2432 2525 2560 2565 2592 2700 2727 2736 2850 2880 2888 2916 3000 3030 3040 3072 3078 3200 3232 3240 3249 3375 3420 3456 3600 3610 3636 3645 3648 3800 3838 3840 3888 4000 4040 4050 4096 4104 4275 4320 4332 4500 4545 4560 4608 4617 4750 4800 4848 4860 4864 5050 5120 5130 5184 5400 5415 5454 5472 5700 5757 5760 5776 5832 6000 6060 6075 6080 6144 6156 6400 6464 6480 6498 6750 6840 6912 7125 7200 7220 7272 7290 7296 7575 7600 7676 7680 7695 7776 8000 8080 8100 8181 8208 8550 8640 8664 9000 9025 9090 9120 9216 9234 9500 9595 9600 9696 9720 9728 9747 10100 10125 10201 10240 10260 10368 10800 10830 10908 10944 11400 11514 11520 11552 11664 12000 12120 12150 12160 12288 12312 12625 12800 12825 12928 12960 12996 13500 13635 13680 13824 13851 14250 14400 14440 14544 14580 14592 15150 15200 15352 15360 15390 15552 16000 16160 16200 16245 16362 16416 17100 17271 17280 17328 18000 18050 18180 18225 18240 18432 18468 19000 19190 19200 19392 19440 19456 19494 20200 20250 20402 20480 20520 20736 21375 21600 21660 21816 21888 22725 22800 23028 23040 23085 23104 23328 24000 24240 24300 24320 24543 24624 25250 25600 25650 25856 25920 25992 27000 27075 27270 27360 27648 27702 28500 28785 28800 28880 29088 29160 29184 29241 30300 30375 30400 30603 30704 30720 30780 31104 32000 32320 32400 32490 32724 32832 34200 34542 34560 34656 36000 36100 36360 36450 36461 36480 36864 36936 37875 38000 38380 38400 38475 38784 38880 38912 38988 40400 40500 40804 40905 41040 41472 42750 43200 43320 43632 43776 45125 45450 45600 46056 46080 46170 46208 46656 47975 48000 48480 48600 48640 48735 49086 49248 50500 51005 51200 51300 51712 51813 51840 51984 54000 54150 54540 54720 55296 55404 57000 57570 57600 57760 58176 58320 58368 58482 60600 60750 60800 61206 61408 61440 61560 62208 64000 64125 64640 64800 64980 65448 65664 68175 68400 69084 69120 69255 69312 72000 72200 72720 72900 72922 72960 73629 73872 75750 76000 76760 76800 76950 77568 77760 77824 77976 80800 81000 81225 81608 81810 82080 82944 85500 86355 86400 86640 87264 87552 87723 90250 90900 91125 91200 91809 92112 92160 92340 92416 93312 95950 96000 96960 97200 97280 97470 98172 98496 101000 102010 102400 102600 103424 103626 103680 103968 108000 108300 109080 109383 109440 110592 110808 113625 114000 115140 115200 115425 115520 116352 116640 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123400321191936 128185929216000 128542001241600 135307369728000 135571641934500 137450852812800 138825361340928 142824445824000 144609751396800 146131959306240 152220790944000 152723169792000 154250401489920 160677501552000 162368843673600 171389334988800 171813566016000 173531701676160 180762189246000 182664949132800 185100481787904 190432594432000 192278893824000 192813001862400 202961054592000 205667201986560 214236668736000 216914627095200 228331186416000 229084754688000 231375602234880 241016252328000 243553265510400 257084002483200 270614739456000 271143283869000 274901705625600 277650722681856 285648891648000 289219502793600 292263918612480 304441581888000 308500802979840 321355003104000 342778669977600 343627132032000 347063403352320 361524378492000 365329898265600 370200963575808 384557787648000 385626003724800 405922109184000 428473337472000 433829254190400 456662372832000 458169509376000 462751204469760 482032504656000 487106531020800 514168004966400 542286567738000 555301445363712 571297783296000 578439005587200 608883163776000 617001605959680 642710006208000 687254264064000 694126806704640 723048756984000 730659796531200 771252007449600 811844218368000 856946674944000 867658508380800 913324745664000 925502408939520 964065009312000 1028336009932800 1084573135476000 1110602890727424 1156878011174400 1217766327552000 1285420012416000 1374508528128000 1388253613409280 1446097513968000 1461319593062400 1542504014899200 1713893349888000 1735317016761600 1826649491328000 1851004817879040 1928130018624000 2169146270952000 2313756022348800 2435532655104000 2570840024832000 2776507226818560 2892195027936000 3085008029798400 3470634033523200 3653298982656000 3856260037248000 4338292541904000 4627512044697600 5141680049664000 5553014453637120 5784390055872000 6941268067046400 7306597965312000 7712520074496000 8676585083808000 9255024089395200 11568780111744000 13882536134092800 15425040148992000 17353170167616000 23137560223488000 27765072268185600 34706340335232000 46275120446976000 69412680670464000 138825361340928000
- Sum of all divisors σ(n): 553722476853407472
- Sum of proper divisors (its aliquot sum) s(n): 414897115512479472
- 138825361340928000 is an abundant number, because the sum of its proper divisors (414897115512479472) is greater than itself. Its abundance is 276071754171551472
Bases of 138825361340928000
- Binary: 1111011010011010011101110001111001000101010010000000000002
- Hexadecimal: 0x1ED34EE3C8A9000
- Base-36: 11YXHEKHS000
Squares and roots of 138825361340928000
- 138825361340928000 squared (1388253613409280002) is 19272480951439226466247901184000000
- 138825361340928000 cubed (1388253613409280003) is 2675509132019702469549891798046091878858752000000000
-
The
square root of 138825361340928000 is 372592755.3521780433 -
The
cube root of 138825361340928000 is 517793.1143393529
Scales and comparisons
How big is 138825361340928000?- 138,825,361,340,928,000 seconds is equal to 4,414,217,075 years, 31 weeks, 3 days.
-
To count from 1 to 138,825,361,340,928,000 would take you about thirteen billion, two hundred forty-two million, six hundred fifty-one thousand, two hundred twenty-six 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 138825361340928000 cubic inches would be around 43149.4 feet tall.
Recreational maths with 138825361340928000
- 138825361340928000 backwards is 000829043163528831
- The number of decimal digits it has is: 18
- The sum of 138825361340928000's digits is 63
- More coming soon!
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"Number 138825361340928000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138825361340928000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138825361340928000/
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The information we have on file for 138825361340928000 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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