138153118924800
138,153,118,924,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138153118924800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2736 divisors.
138153118924800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 138153118924800:
218 × 311 × 52 × 7 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17)See below for interesting mathematical facts about the number 138153118924800 from the Numbermatics database.
Names of 138153118924800
- Cardinal: 138153118924800 can be written as One hundred thirty-eight trillion, one hundred fifty-three billion, one hundred eighteen million, nine hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381531189248 × 1014
Factors of 138153118924800
Divisors of 138153118924800
- Number of divisors d(n): 2736
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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 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 100 102 105 108 112 119 120 126 128 135 136 140 144 150 153 160 162 168 170 175 180 189 192 200 204 210 216 224 225 238 240 243 252 255 256 270 272 280 288 300 306 315 320 324 336 340 350 357 360 378 384 400 405 408 420 425 432 448 450 459 476 480 486 504 510 512 525 540 544 560 567 576 595 600 612 630 640 648 672 675 680 700 714 720 729 756 765 768 800 810 816 840 850 864 896 900 918 945 952 960 972 1008 1020 1024 1050 1071 1080 1088 1120 1134 1152 1190 1200 1215 1224 1260 1275 1280 1296 1344 1350 1360 1377 1400 1428 1440 1458 1512 1530 1536 1575 1600 1620 1632 1680 1700 1701 1728 1785 1792 1800 1836 1890 1904 1920 1944 2016 2025 2040 2048 2100 2142 2160 2176 2187 2240 2268 2295 2304 2380 2400 2430 2448 2520 2550 2560 2592 2688 2700 2720 2754 2800 2835 2856 2880 2916 2975 3024 3060 3072 3150 3200 3213 3240 3264 3360 3400 3402 3456 3570 3584 3600 3645 3672 3780 3808 3825 3840 3888 4032 4050 4080 4096 4131 4200 4284 4320 4352 4374 4480 4536 4590 4608 4725 4760 4800 4860 4896 5040 5100 5103 5120 5184 5355 5376 5400 5440 5508 5600 5670 5712 5760 5832 5950 6048 6075 6120 6144 6300 6400 6426 6480 6528 6561 6720 6800 6804 6885 6912 7140 7168 7200 7290 7344 7560 7616 7650 7680 7776 8064 8100 8160 8192 8262 8400 8505 8568 8640 8704 8748 8925 8960 9072 9180 9216 9450 9520 9600 9639 9720 9792 10080 10200 10206 10240 10368 10710 10752 10800 10880 10935 11016 11200 11340 11424 11475 11520 11664 11900 12096 12150 12240 12288 12393 12600 12800 12852 12960 13056 13122 13440 13600 13608 13770 13824 14175 14280 14336 14400 14580 14688 15120 15232 15300 15309 15360 15552 16065 16128 16200 16320 16384 16524 16800 17010 17136 17280 17408 17496 17850 17920 18144 18225 18360 18432 18900 19040 19200 19278 19440 19584 19683 20160 20400 20412 20480 20655 20736 21420 21504 21600 21760 21870 22032 22400 22680 22848 22950 23040 23328 23800 24192 24300 24480 24576 24786 25200 25515 25600 25704 25920 26112 26244 26775 26880 27200 27216 27540 27648 28350 28560 28672 28800 28917 29160 29376 30240 30464 30600 30618 30720 31104 32130 32256 32400 32640 32768 32805 33048 33600 34020 34272 34425 34560 34816 34992 35700 35840 36288 36450 36720 36864 37179 37800 38080 38400 38556 38880 39168 39366 40320 40800 40824 40960 41310 41472 42525 42840 43008 43200 43520 43740 44064 44800 45360 45696 45900 45927 46080 46656 47600 48195 48384 48600 48960 49152 49572 50400 51030 51200 51408 51840 52224 52488 53550 53760 54400 54432 54675 55080 55296 56700 57120 57344 57600 57834 58320 58752 59049 60480 60928 61200 61236 61440 61965 62208 64260 64512 64800 65280 65536 65610 66096 67200 68040 68544 68850 69120 69632 69984 71400 71680 72576 72900 73440 73728 74358 75600 76160 76545 76800 77112 77760 78336 78732 80325 80640 81600 81648 81920 82620 82944 85050 85680 86016 86400 86751 87040 87480 88128 89600 90720 91392 91800 91854 92160 93312 95200 96390 96768 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26983031040 27072921600 27088846848 27411333120 28217548800 28426567680 28781899776 29023764480 29238755328 29981145600 30098718720 30457036800 30837749760 31585075200 31744742400 31979888640 32248627200 32893599744 33443020800 33728788800 33861058560 34111881216 34264166400 35533209600 35977374720 36118462464 36279705600 36548444160 37623398400 37902090240 38375866368 38547187200 38698352640 39974860800 40609382400 40633270272 41116999680 42326323200 42639851520 42998169600 43172849664 43858132992 44971718400 45148078080 45685555200 46438023168 47377612800 47969832960 48372940800 48731258880 49340399616 50164531200 50791587840 51167821824 51396249600 53299814400 53966062080 54177693696 54822666240 56435097600 56853135360 57563799552 58047528960 59962291200 60197437440 60914073600 61675499520 63170150400 63489484800 63959777280 64497254400 65787199488 67457577600 67722117120 68223762432 68528332800 71066419200 71954749440 72559411200 73096888320 75246796800 76751732736 77094374400 77396705280 79949721600 81218764800 81266540544 82233999360 84652646400 85279703040 86345699328 87716265984 89943436800 90296156160 91371110400 94755225600 95939665920 96745881600 98680799232 100329062400 101583175680 102335643648 102792499200 106599628800 107932124160 108355387392 109645332480 112870195200 113706270720 115127599104 116095057920 119924582400 121828147200 123350999040 126978969600 127919554560 128994508800 131574398976 134915155200 135444234240 137056665600 142132838400 143909498880 145118822400 146193776640 150493593600 153503465472 154188748800 159899443200 162533081088 164467998720 169305292800 170559406080 172691398656 179886873600 180592312320 182742220800 189510451200 191879331840 193491763200 197361598464 203166351360 204671287296 205584998400 213199257600 215864248320 219290664960 225740390400 230255198208 232190115840 239849164800 243656294400 246701998080 253957939200 255839109120 263148797952 269830310400 270888468480 274113331200 284265676800 287818997760 290237644800 300987187200 307006930944 308377497600 319798886400 325066162176 328935997440 338610585600 341118812160 345382797312 359773747200 365484441600 383758663680 386983526400 394723196928 406332702720 411169996800 426398515200 431728496640 438581329920 451480780800 460510396416 479698329600 493403996160 507915878400 511678218240 539660620800 541776936960 548226662400 568531353600 575637995520 580475289600 614013861888 616754995200 639597772800 657871994880 677221171200 690765594624 719547494400 730968883200 767517327360 789446393856 812665405440 822339993600 852797030400 863456993280 902961561600 921020792832 959396659200 986807992320 1015831756800 1023356436480 1079321241600 1096453324800 1151275991040 1160950579200 1233509990400 1279195545600 1315743989760 1354442342400 1381531189248 1439094988800 1535034654720 1625330810880 1644679987200 1705594060800 1726913986560 1842041585664 1918793318400 1973615984640 2031663513600 2158642483200 2192906649600 2302551982080 2467019980800 2558391091200 2708884684800 2763062378496 2878189977600 3070069309440 3289359974400 3453827973120 3837586636800 3947231969280 4063327027200 4317284966400 4605103964160 4934039961600 5116782182400 5526124756992 5756379955200 6578719948800 6907655946240 7675173273600 8126654054400 8634569932800 9210207928320 9868079923200 11512759910400 13815311892480 15350346547200 17269139865600 19736159846400 23025519820800 27630623784960 34538279731200 46051039641600 69076559462400 138153118924800
- Sum of all divisors σ(n): 621895649880960
- Sum of proper divisors (its aliquot sum) s(n): 483742530956160
- 138153118924800 is an abundant number, because the sum of its proper divisors (483742530956160) is greater than itself. Its abundance is 345589412031360
Bases of 138153118924800
- Binary: 111110110100110010001111001010000000000000000002
- Hexadecimal: 0x7DA647940000
- Base-36: 1CYYO00000
Squares and roots of 138153118924800
- 138153118924800 squared (1381531189248002) is 19086284268649931908055040000
- 138153118924800 cubed (1381531189248003) is 2636829700399333435232950120184020992000000
-
The
square root of 138153118924800 is 11753855.4919141319 -
The
cube root of 138153118924800 is 51695.5981377969
Scales and comparisons
How big is 138153118924800?- 138,153,118,924,800 seconds is equal to 4,392,841 years, 44 weeks.
-
To count from 1 to 138,153,118,924,800 would take you about ten million, nine hundred eighty-two thousand, one hundred four 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 138153118924800 cubic inches would be around 4308 feet tall.
Recreational maths with 138153118924800
- 138153118924800 backwards is 008429811351831
- 138153118924800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138153118924800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138153118924800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138153118924800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138153118924800/
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The information we have on file for 138153118924800 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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