138081148417800
138,081,148,417,800 is an even composite number composed of six prime numbers multiplied together.
138081148417800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138081148417800:
23 × 32 × 52 × 7 × 79 × 138719257
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 79 × 138719257)See below for interesting mathematical facts about the number 138081148417800 from the Numbermatics database.
Names of 138081148417800
- Cardinal: 138081148417800 can be written as One hundred thirty-eight trillion, eighty-one billion, one hundred forty-eight million, four hundred seventeen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380811484178 × 1014
Factors of 138081148417800
Divisors of 138081148417800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 79 84 90 100 105 120 126 140 150 158 168 175 180 200 210 225 237 252 280 300 315 316 350 360 395 420 450 474 504 525 553 600 630 632 700 711 790 840 900 948 1050 1106 1185 1260 1400 1422 1575 1580 1659 1800 1896 1975 2100 2212 2370 2520 2765 2844 3150 3160 3318 3555 3950 4200 4424 4740 4977 5530 5688 5925 6300 6636 7110 7900 8295 9480 9954 11060 11850 12600 13272 13825 14220 15800 16590 17775 19908 22120 23700 24885 27650 28440 33180 35550 39816 41475 47400 49770 55300 66360 71100 82950 99540 110600 124425 142200 165900 199080 248850 331800 497700 995400 138719257 277438514 416157771 554877028 693596285 832315542 971034799 1109754056 1248473313 1387192570 1664631084 1942069598 2080788855 2496946626 2774385140 2913104397 3329262168 3467981425 3884139196 4161577710 4855173995 4993893252 5548770280 5826208794 6242366565 6935962850 7768278392 8323155420 8739313191 9710347990 9987786504 10403944275 10958821303 11652417588 12484733130 13871925700 14565521985 16646310840 17478626382 19420695980 20807888550 21917642606 23304835176 24275869975 24969466260 27743851400 29131043970 31211832825 32876463909 34957252764 38841391960 41615777100 43696565955 43835285212 48551739950 49938932520 54794106515 58262087940 62423665650 65752927818 69914505528 72827609925 76711749121 83231554200 87393131910 87670570424 97103479900 98629391727 109588213030 116524175880 124847331300 131505855636 145655219850 153423498242 164382319545 174786263820 194206959800 197258783454 218482829775 219176426060 230135247363 249694662600 263011711272 273970532575 291310439700 306846996484 328764639090 349572527640 383558745605 394517566908 436965659550 438352852120 460270494726 493146958635 547941065150 582620879400 613693992968 657529278180 690405742089 767117491210 789035133816 821911597725 873931319100 920540989452 986293917270 1095882130300 1150676236815 1315058556360 1380811484178 1534234982420 1643823195450 1747862638200 1841081978904 1917793728025 1972587834540 2191764260600 2301352473630 2465734793175 2761622968356 3068469964840 3287646390900 3452028710445 3835587456050 3945175669080 4602704947260 4931469586350 5523245936712 5753381184075 6575292781800 6904057420890 7671174912100 9205409894520 9862939172700 11506762368150 13808114841780 15342349824200 17260143552225 19725878345400 23013524736300 27616229683560 34520287104450 46027049472600 69040574208900 138081148417800
- Sum of all divisors σ(n): 536677065350400
- Sum of proper divisors (its aliquot sum) s(n): 398595916932600
- 138081148417800 is an abundant number, because the sum of its proper divisors (398595916932600) is greater than itself. Its abundance is 260514768514800
Bases of 138081148417800
- Binary: 111110110010101100001011100110100110111000010002
- Hexadecimal: 0x7D9585CD3708
- Base-36: 1CY1LQM9E0
Squares and roots of 138081148417800
- 138081148417800 squared (1380811484178002) is 19066403548378511443356840000
- 138081148417800 cubed (1380811484178003) is 2632710898157321801142391521886807752000000
-
The
square root of 138081148417800 is 11750793.5228987833 -
The
cube root of 138081148417800 is 51686.6196828395
Scales and comparisons
How big is 138081148417800?- 138,081,148,417,800 seconds is equal to 4,390,553 years, 21 weeks, 1 day, 30 minutes.
-
To count from 1 to 138,081,148,417,800 would take you about ten million, nine hundred seventy-six thousand, three hundred eighty-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 138081148417800 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138081148417800
- 138081148417800 backwards is 008714841180831
- The number of decimal digits it has is: 15
- The sum of 138081148417800's digits is 54
- More coming soon!
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