138398420801875
138,398,420,801,875 is an odd composite number composed of five prime numbers multiplied together.
138398420801875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138398420801875:
54 × 133 × 192 × 432 × 151
(5 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 43 × 43 × 151)See below for interesting mathematical facts about the number 138398420801875 from the Numbermatics database.
Names of 138398420801875
- Cardinal: 138398420801875 can be written as One hundred thirty-eight trillion, three hundred ninety-eight billion, four hundred twenty million, eight hundred one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38398420801875 × 1014
Factors of 138398420801875
Divisors of 138398420801875
- Number of divisors d(n): 360
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Complete list of divisors:
1 5 13 19 25 43 65 95 125 151 169 215 247 325 361 475 559 625 755 817 845 1075 1235 1625 1805 1849 1963 2197 2375 2795 2869 3211 3775 4085 4225 4693 5375 6175 6493 7267 8125 9025 9245 9815 10621 10985 11875 13975 14345 15523 16055 18875 20425 21125 23465 24037 25519 26875 30875 32465 35131 36335 37297 41743 45125 46225 49075 53105 54511 54925 61009 69875 71725 77615 80275 84409 94375 94471 102125 105625 117325 120185 123367 127595 138073 154375 162325 175655 181675 186485 201799 208715 225625 231125 245375 265525 272555 274625 279199 305045 312481 331747 349375 358625 388075 401375 422045 456703 472355 484861 510625 586625 600925 616835 637975 667489 690365 708643 793117 811625 878275 908375 932425 1008995 1043575 1097317 1155625 1226875 1327625 1362775 1373125 1395995 1525225 1562405 1603771 1658735 1793125 1794949 1940375 2006875 2110225 2283515 2343973 2361775 2424305 2623387 2933125 3004625 3084175 3189875 3337445 3451825 3543215 3629587 3965585 4058125 4062253 4391375 4541875 4662125 5044975 5217875 5304781 5486585 5937139 6303193 6638125 6813875 6979975 7626125 7812025 8018855 8293675 8677357 8974745 9212359 9701875 10551125 11417575 11719865 11808875 12121525 13116935 14265121 15023125 15420875 15949375 16687225 17259125 17716075 18147935 19827925 20311265 20849023 21956875 23310625 25224875 26089375 26523905 27432925 29685695 30471649 31515965 34069375 34104031 34899875 38130625 39060125 40094275 41468375 43386785 44873725 46061795 47184631 52755625 57087875 58599325 59044375 60607625 65584675 68962153 71325605 77104375 77182807 83436125 86295625 88580375 90739675 99139625 100790839 101556325 104245115 112805641 119760667 126124375 132619525 137164625 148428475 152358245 157579825 170520155 174499375 195300625 200471375 207341875 216933925 224368625 230308975 235923155 271037299 285439375 292996625 303038125 327923375 344810765 356628025 385914035 396131437 417180625 442901875 453698375 495698125 503954195 507781625 521225575 564028205 598803335 613400203 663097625 685823125 742142375 761791225 787899125 852600775 896507989 1002356875 1084669625 1121843125 1151544875 1179615775 1310280907 1355186495 1464983125 1466473333 1639616875 1724053825 1783140125 1929570175 1980657185 2268491875 2519770975 2538908125 2606127875 2820141025 2994016675 3067001015 3315488125 3710711875 3808956125 3939495625 4263003875 4482539945 5149708681 5423348125 5757724375 5898078875 6551404535 6775932475 7332366665 8620269125 8915700625 9647850875 9903285925 11654603857 12598854875 13030639375 14100705125 14970083375 15335005075 17033651791 19044780625 21315019375 22412699725 25748543405 29490394375 32757022675 33879662375 36661833325 43101345625 48239254375 49516429625 58273019285 62994274375 70503525625 74850416875 76675025375 85168258955 112063498625 128742717025 163785113375 169398311875 183309166625 221437473283 247582148125 291365096425 383375126875 425841294775 560317493125 643713585125 818925566875 916545833125 1107187366415 1456825482125 2129206473875 3218567925625 5535936832075 7284127410625 10646032369375 27679684160375 138398420801875
- Sum of all divisors σ(n): 203773248312480
- Sum of proper divisors (its aliquot sum) s(n): 65374827510605
- 138398420801875 is a deficient number, because the sum of its proper divisors (65374827510605) is less than itself. Its deficiency is 73023593291270
Bases of 138398420801875
- Binary: 111110111011111011001001011010110011001010100112
- Hexadecimal: 0x7DDF64B59953
- Base-36: 1D23CUEJPV
Squares and roots of 138398420801875
- 138398420801875 squared (1383984208018752) is 19154122880452866718003515625
- 138398420801875 cubed (1383984208018753) is 2650900358499737923005414616444381591796875
-
The
square root of 138398420801875 is 11764285.8177568519 -
The
cube root of 138398420801875 is 51726.1765987623
Scales and comparisons
How big is 138398420801875?- 138,398,420,801,875 seconds is equal to 4,400,641 years, 35 weeks, 5 days, 2 hours, 17 minutes, 55 seconds.
-
To count from 1 to 138,398,420,801,875 would take you about eleven million, one thousand, six 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 138398420801875 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138398420801875
- 138398420801875 backwards is 578108024893831
- The number of decimal digits it has is: 15
- The sum of 138398420801875's digits is 67
- More coming soon!
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