138763990227215925
138,763,990,227,215,925 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138763990227215925 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138763990227215925 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138763990227215925:
32 × 52 × 11 × 132 × 192 × 292 × 1033
(3 × 3 × 5 × 5 × 11 × 13 × 13 × 19 × 19 × 29 × 29 × 103 × 103 × 103)See below for interesting mathematical facts about the number 138763990227215925 from the Numbermatics database.
Names of 138763990227215925
- Cardinal: 138763990227215925 can be written as One hundred thirty-eight quadrillion, seven hundred sixty-three trillion, nine hundred ninety billion, two hundred twenty-seven million, two hundred fifteen thousand, nine hundred twenty-five.
Scientific notation
- Scientific notation: 1.38763990227215925 × 1017
Factors of 138763990227215925
Divisors of 138763990227215925
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 9 11 13 15 19 25 29 33 39 45 55 57 65 75 87 95 99 103 117 143 145 165 169 171 195 209 225 247 261 275 285 309 319 325 361 377 429 435 475 495 507 515 551 585 627 715 725 741 825 841 845 855 927 957 975 1045 1083 1131 1133 1235 1287 1305 1339 1425 1521 1545 1595 1653 1805 1859 1881 1885 1957 2145 2175 2223 2475 2523 2535 2575 2717 2755 2871 2925 2987 3135 3211 3249 3393 3399 3575 3705 3971 4017 4147 4205 4225 4275 4635 4693 4785 4901 4959 5225 5415 5577 5655 5665 5871 6061 6175 6435 6525 6695 7163 7569 7605 7725 7975 8151 8265 8961 9025 9251 9295 9405 9425 9633 9785 10197 10469 10609 10725 10933 11115 11913 12051 12441 12615 12675 13585 13775 14079 14355 14703 14729 14935 15675 15979 16055 16245 16731 16965 16995 17407 17613 18183 18525 19855 20085 20735 21025 21489 21527 23175 23465 23925 24453 24505 24795 25441 26883 27075 27753 27885 28275 28325 28899 29355 30305 31407 31827 32175 32799 32857 33475 35321 35739 35815 37183 37323 37845 38025 38831 40755 41325 42237 44109 44187 44805 46255 46475 47025 47937 48165 48925 50985 51623 52221 52345 53045 53911 54549 54665 55575 56753 59565 60255 61009 62205 63075 64467 64581 67925 70395 71775 73515 73645 74675 76323 78793 79895 80275 81225 83259 83655 84825 84975 86623 87035 88065 90915 93119 94221 95481 98397 98571 99275 100425 103675 105963 107445 107635 111549 115159 116493 116699 117325 120263 122265 122525 123975 127205 132561 134415 136097 137917 138765 139425 142129 143811 144495 146775 151525 154869 156663 157035 159135 161733 163995 164285 170259 175769 176605 178695 179075 183027 185915 186615 189225 191477 193743 194155 201571 203775 207727 211185 220545 220935 224025 228969 231275 236379 239685 240825 254925 258115 259869 261105 261725 265225 269555 272745 273325 279357 279851 283765 295713 297825 301275 303601 305045 307661 311025 317889 322335 322905 330733 334647 345477 349479 350097 351975 360789 367575 368225 381615 393965 399475 408291 409013 413751 416295 418275 426387 427141 433115 435175 440325 454575 464607 465595 471105 477405 483379 485199 491985 492855 504803 510777 527307 529815 537225 538175 549081 557745 574431 575795 582465 583495 601315 604713 611325 623181 624283 636025 662805 671099 672075 680485 689585 693825 709137 710645 719055 722475 737789 774345 779607 783315 785175 795675 808665 819975 821425 838071 839553 851295 878845 883025 893475 910803 915135 922983 929575 933075 952853 957385 968715 970775 992199 1007855 1024309 1036431 1038635 1050291 1055925 1078307 1082367 1092727 1102725 1104675 1126099 1144845 1181895 1198425 1224873 1227039 1241253 1279161 1281423 1290575 1299345 1305525 1347775 1363725 1396785 1399255 1418825 1450137 1478565 1497067 1514409 1517087 1518005 1525225 1538305 1563419 1581921 1589445 1611675 1614525 1645837 1653665 1673235 1723293 1727385 1747395 1750485 1769261 1792921 1803945 1814139 1869543 1872849 1908075 1969825 2013297 2041455 2045065 2068755 2081475 2131935 2135705 2165575 2213367 2217281 2284997 2323035 2327975 2355525 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514789153335 523193478093 530190047673 531448996485 533976696825 537605293095 544332608521 576202596189 578943155505 587040262575 599995633887 606038329325 619412968317 628076086755 629186742965 657073136005 668011333275 680966704587 688412471175 714707271135 716227116475 724703177025 733327996973 743584332595 746384047695 758161310775 774893146599 776540978915 785730812985 789467939325 815017063575 844654047705 846147688815 857981922225 871989130155 883650079455 885748327475 896008821825 915782809617 945419793747 960337660315 964905259175 976324256325 995259029781 999992723145 1006141304025 1019596245525 1032354947195 1046793477925 1090868992785 1119290100643 1132536137337 1134944507645 1153837757475 1182731644809 1189076086575 1191178785225 1204977381075 1243973412825 1289208809655 1291488577665 1309551354975 1338451798671 1381767390861 1397773762047 1407756746175 1410246148025 1453315216925 1472750132425 1490179128075 1526304682695 1575699656245 1594346989455 1601930090475 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29938293468655 32459412918647 32843547982773 32999759863785 33461294966775 34544184771525 34944344051175 37453168752285 38815102161459 40824945639075 40897138292725 42709753840325 43215194714175 44262835798155 46455972623775 47440680419561 48332981618675 50368054528935 51072502844025 53888928243579 54739246637955 54999599772975 56066258677663 62421947920475 63799535736651 64691836935765 70906484531025 73614848926905 73771392996925 74644427233575 76877556912585 83946757548225 86999366913615 89814880405965 91232077729925 97378238755941 103632554314575 106332559561085 107819728226275 112359506256855 122474836917225 122691414878175 128129261520975 132788507394465 142322041258683 144998944856025 149691467343275 162297064593235 164217739913865 164998799318925 168198776032989 187265843761425 191398607209953 194075510807295 221314178990775 237203402097805 251840272644675 269444641217895 273696233189775 280331293388315 292134716267823 318997678683255 323459184678825 368074244634525 384387784562925 426966123776049 434996834568075 449074402029825 486891193779705 504596328098967 531662797805425 561797531284275 616728845454293 663942536972325 711610206293415 811485322966175 821088699569325 840993880164945 956993036049765 970377554036475 1186017010489025 1347223206089475 1401656466941575 1460673581339115 1594988393416275 1850186536362879 2134830618880245 2434455968898525 2522981640494835 3083644227271465 3558051031467075 4204969400824725 4784965180248825 5550559609088637 7303367906695575 9250932681814395 10674153094401225 12614908202474175 15418221136357325 27752798045443185 46254663409071975 138763990227215925
- Sum of all divisors σ(n): 324062841552390720
- Sum of proper divisors (its aliquot sum) s(n): 185298851325174795
- 138763990227215925 is an abundant number, because the sum of its proper divisors (185298851325174795) is greater than itself. Its abundance is 46534861097958870
Bases of 138763990227215925
- Binary: 1111011001111110100011101001010010001101111100110001101012
- Hexadecimal: 0x1ECFD1D291BE635
- Base-36: 11YBQ92H88J9
Squares and roots of 138763990227215925
- 138763990227215925 squared (1387639902272159252) is 19255444983778876740708576573605625
- 138763990227215925 cubed (1387639902272159253) is 2671962379549785957534844986675129593048882669578125
-
The
square root of 138763990227215925 is 372510389.4218467633 -
The
cube root of 138763990227215925 is 517716.8020968349
Scales and comparisons
How big is 138763990227215925?- 138,763,990,227,215,925 seconds is equal to 4,412,265,664 years, 1 week, 21 hours, 18 minutes, 45 seconds.
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To count from 1 to 138,763,990,227,215,925 would take you about thirteen billion, two hundred thirty-six million, seven hundred ninety-six thousand, nine hundred ninety-two 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 138763990227215925 cubic inches would be around 43143.1 feet tall.
Recreational maths with 138763990227215925
- 138763990227215925 backwards is 529512722099367831
- The number of decimal digits it has is: 18
- The sum of 138763990227215925's digits is 81
- More coming soon!
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The information we have on file for 138763990227215925 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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