138539742018763680
138,539,742,018,763,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138539742018763680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138539742018763680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138539742018763680:
25 × 32 × 5 × 72 × 173 × 199912
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 17 × 17 × 17 × 19991 × 19991)See below for interesting mathematical facts about the number 138539742018763680 from the Numbermatics database.
Names of 138539742018763680
- Cardinal: 138539742018763680 can be written as One hundred thirty-eight quadrillion, five hundred thirty-nine trillion, seven hundred forty-two billion, eighteen million, seven hundred sixty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3853974201876368 × 1017
Factors of 138539742018763680
Divisors of 138539742018763680
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 32 34 35 36 40 42 45 48 49 51 56 60 63 68 70 72 80 84 85 90 96 98 102 105 112 119 120 126 136 140 144 147 153 160 168 170 180 196 204 210 224 238 240 245 252 255 272 280 288 289 294 306 315 336 340 357 360 392 408 420 441 476 480 490 504 510 544 560 578 588 595 612 630 672 680 714 720 735 765 784 816 833 840 867 882 952 980 1008 1020 1071 1120 1156 1176 1190 1224 1260 1360 1428 1440 1445 1470 1530 1568 1632 1666 1680 1734 1764 1785 1904 1960 2016 2023 2040 2142 2205 2312 2352 2380 2448 2499 2520 2601 2720 2856 2890 2940 3060 3332 3360 3468 3528 3570 3808 3920 4046 4080 4165 4284 4335 4410 4624 4704 4760 4896 4913 4998 5040 5202 5355 5712 5780 5880 6069 6120 6664 6936 7056 7140 7497 7840 8092 8160 8330 8568 8670 8820 9248 9520 9826 9996 10080 10115 10404 10710 11424 11560 11760 12138 12240 12495 13005 13328 13872 14112 14161 14280 14739 14994 16184 16660 17136 17340 17640 18207 19040 19652 19991 19992 20230 20808 21420 23120 23520 24276 24480 24565 24990 26010 26656 27744 28322 28560 29478 29988 30345 32368 33320 34272 34391 34680 35280 36414 37485 39304 39982 39984 40460 41616 42483 42840 44217 46240 48552 49130 49980 52020 56644 57120 58956 59973 59976 60690 64736 66640 68782 69360 70560 70805 72828 73695 74970 78608 79964 79968 80920 83232 84966 85680 88434 91035 97104 98260 99955 99960 103173 104040 113288 117912 119946 119952 121380 127449 133280 137564 138720 139937 141610 145656 147390 149940 157216 159928 161840 169932 171360 171955 176868 179919 182070 194208 196520 199910 199920 206346 208080 212415 221085 226576 235824 239892 239904 240737 242760 254898 275128 279874 283220 291312 294780 299865 299880 309519 319856 323680 339847 339864 343910 353736 359838 364140 393040 399820 399840 412692 416160 419811 424830 442170 453152 471648 479784 481474 485520 509796 515865 550256 559748 566440 582624 589560 599730 599760 619038 637245 639712 679694 679728 687820 699685 707472 719676 722211 728280 786080 799640 825384 839622 849660 884340 899595 959568 962948 971040 979559 1019541 1019592 1031730 1100512 1119496 1132880 1179120 1199460 1199520 1203685 1238076 1259433 1274490 1359388 1359456 1375640 1399370 1414944 1439352 1444422 1456560 1547595 1599280 1650768 1679244 1699235 1699320 1768680 1799190 1919136 1925896 1959118 2039082 2039184 2063460 2099055 2166633 2238992 2265760 2358240 2378929 2398920 2407370 2476152 2518866 2548980 2718776 2751280 2798740 2878704 2888844 2913120 2938677 3058623 3095190 3198560 3301536 3358488 3398470 3398640 3537360 3598380 3611055 3851792 3918236 4078164 4078368 4126920 4198110 4333266 4477984 4757858 4797840 4814740 4897795 4952304 5037732 5097705 5097960 5437552 5502560 5597480 5757408 5777399 5777688 5877354 6117246 6190380 6297165 6716976 6796940 6797280 7074720 7136787 7196760 7222110 7703584 7836472 8156328 8253840 8396220 8666532 8816031 9515716 9595680 9629480 9795590 9904608 10075464 10195410 10195920 10833165 10875104 11194960 11554798 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577248925078182 582099756381360 618480991155195 659713057232208 679116382444920 706835418463080 769665233437576 814939658933904 824641321540260 865873387617273 905488509926560 942447224617440 962081541796970 989569585848312 1018674573667380 1099521762053680 1154497850156364 1164199512762720 1236961982310390 1319426114464416 1358232764889840 1413670836926160 1443122312695455 1539330466875152 1629879317867808 1649282643080520 1731746775234546 1924163083593940 1979139171696624 2037349147334760 2199043524107360 2308995700312728 2473923964620780 2716465529779680 2827341673852320 2886244625390910 3078660933750304 3298565286161040 3463493550469092 3848326167187880 3958278343393248 4074698294669520 4329366938086365 4617991400625456 4947847929241560 5772489250781820 6597130572322080 6926987100938184 7696652334375760 8149396589339040 8658733876172730 9235982801250912 9895695858483120 11544978501563640 13853974201876368 15393304668751520 17317467752345460 19791391716966240 23089957003127280 27707948403752736 34634935504690920 46179914006254560 69269871009381840 138539742018763680
- Sum of all divisors σ(n): 584347612803743880
- Sum of proper divisors (its aliquot sum) s(n): 445807870784980200
- 138539742018763680 is an abundant number, because the sum of its proper divisors (445807870784980200) is greater than itself. Its abundance is 307268128766216520
Bases of 138539742018763680
- Binary: 1111011000011000100101001010011100100110101111011101000002
- Hexadecimal: 0x1EC31294E4D7BA0
- Base-36: 11W48MV3U080
Squares and roots of 138539742018763680
- 138539742018763680 squared (1385397420187636802) is 19193260118625594772693195687142400
- 138539742018763680 cubed (1385397420187636803) is 2659029305333415485428116675776708675311720108032000
-
The
square root of 138539742018763680 is 372209271.8065519657 -
The
cube root of 138539742018763680 is 517437.7679839383
Scales and comparisons
How big is 138539742018763680?- 138,539,742,018,763,680 seconds is equal to 4,405,135,264 years, 33 weeks, 1 day, 6 hours, 48 minutes.
-
To count from 1 to 138,539,742,018,763,680 would take you about thirteen billion, two hundred fifteen million, four hundred five thousand, seven hundred ninety-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 138539742018763680 cubic inches would be around 43119.8 feet tall.
Recreational maths with 138539742018763680
- 138539742018763680 backwards is 086367810247935831
- The number of decimal digits it has is: 18
- The sum of 138539742018763680's digits is 81
- More coming soon!
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"Number 138539742018763680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138539742018763680 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138539742018763680/
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The information we have on file for 138539742018763680 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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