138928766112400
138,928,766,112,400 is an even composite number composed of seven prime numbers multiplied together.
138928766112400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138928766112400:
24 × 52 × 11 × 31 × 601 × 941 × 1801
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 31 × 601 × 941 × 1801)See below for interesting mathematical facts about the number 138928766112400 from the Numbermatics database.
Names of 138928766112400
- Cardinal: 138928766112400 can be written as One hundred thirty-eight trillion, nine hundred twenty-eight billion, seven hundred sixty-six million, one hundred twelve thousand, four hundred.
Scientific notation
- Scientific notation: 1.389287661124 × 1014
Factors of 138928766112400
Divisors of 138928766112400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 601 620 682 775 880 941 1100 1202 1240 1364 1550 1705 1801 1882 2200 2404 2480 2728 3005 3100 3410 3602 3764 4400 4705 4808 5456 6010 6200 6611 6820 7204 7528 8525 9005 9410 9616 10351 12020 12400 13222 13640 14408 15025 15056 17050 18010 18631 18820 19811 20702 23525 24040 26444 27280 28816 29171 30050 33055 34100 36020 37262 37640 39622 41404 45025 47050 48080 51755 52888 55831 58342 60100 66110 68200 72040 74524 75280 79244 82808 90050 93155 94100 99055 103510 105776 111662 116684 120200 132220 136400 144080 145855 149048 158488 165275 165616 180100 186310 188200 198110 204941 207020 223324 233368 240400 258775 264440 279155 291710 298096 316976 320881 330550 360200 372620 376400 396220 409882 414040 446648 465775 466736 495275 517550 528880 558310 565541 583420 614141 641762 661100 720400 729275 745240 792440 819764 828080 893296 931550 990550 1024705 1035100 1082401 1116620 1131082 1166840 1228282 1283524 1322200 1395775 1458550 1490480 1584880 1604405 1639528 1694741 1863100 1981100 2049410 2070200 2164802 2233240 2262164 2333680 2456564 2567048 2644400 2791550 2827705 2917100 3070705 3208810 3279056 3389482 3726200 3962200 4098820 4140400 4329604 4466480 4524328 4913128 5123525 5134096 5412005 5583100 5655410 5834200 6141410 6220951 6417620 6778964 7452400 7924400 8022025 8197640 8473705 8659208 9048656 9826256 10247050 10824010 11166200 11310820 11668400 11906411 12282820 12441902 12835240 13557928 14138525 15353525 16044050 16395280 16947410 17318416 17531771 18642151 20494100 21648020 22332400 22621640 23812822 24565640 24883804 25670480 27060025 27115856 28277050 30707050 31104755 32088100 33554431 33894820 35063542 37284302 40988200 42368525 43296040 45243280 47625644 49131280 49767608 52536971 54120050 56554100 59532055 61414100 62209510 64176200 67108862 67789640 70127084 74568604 81976400 84737050 86592080 87658855 93210755 95251288 99535216 105073942 108240100 113108200 119064110 122828200 124419020 128352400 134217724 135579280 140254168 149137208 155523775 167772155 169474100 175317710 186421510 190502576 192849481 210147884 216480200 226216400 238128220 245656400 248838040 262684855 268435448 280508336 297660275 298274416 311047550 335544310 338948200 350635420 369098741 372843020 385698962 420295768 432960400 438294275 466053775 476256440 497676080 525369710 536870896 577906681 595320550 622095100 671088620 677896400 701270840 738197482 745686040 771397924 838860775 840591536 876588550 932107550 952512880 964247405 1018539341 1050739420 1155813362 1190641100 1244190200 1313424275 1342177240 1402541680 1476394964 1491372080 1542795848 1677721550 1753177100 1845493705 1864215100 1928494810 2037078682 2101478840 2311626724 2381282200 2488380400 2626848550 2684354480 2889533405 2952789928 3085591696 3355443100 3506354200 3690987410 3728430200 3856989620 4074157364 4202957680 4623253448 4762564400 4821237025 5092696705 5253697100 5779066810 5905579856 6710886200 7012708400 7381974820 7456860400 7713979240 8148314728 9227468525 9246506896 9642474050 10185393410 10507394200 11203932751 11558133620 13421772400 14447667025 14763949640 15427958480 16296629456 18454937050 19284948100 20370786820 21014788400 22407865502 23116267240 25463483525 28895334050 29527899280 31574719571 36909874100 38569896200 40741573640 44815731004 46232534480 50926967050 56019663755 57790668100 63149439142 73819748200 77139792400 81483147280 89631462008 101853934100 112039327510 115581336200 126298878284 147639496400 157873597855 179262924016 203707868200 224078655020 231162672400 252597756568 280098318775 315747195710 347321915281 407415736400 448157310040 505195513136 560196637550 631494391420 694643830562 789367989275 896314620080 1120393275100 1262988782840 1389287661124 1578735978550 1736609576405 2240786550200 2525977565680 2778575322248 3157471957100 3473219152810 4481573100400 5557150644496 6314943914200 6946438305620 8683047882025 12629887828400 13892876611240 17366095764050 27785753222480 34732191528100 69464383056200 138928766112400
- Sum of all divisors σ(n): 377100226040832
- Sum of proper divisors (its aliquot sum) s(n): 238171459928432
- 138928766112400 is an abundant number, because the sum of its proper divisors (238171459928432) is greater than itself. Its abundance is 99242693816032
Bases of 138928766112400
- Binary: 111111001011010110111111100000011010010100100002
- Hexadecimal: 0x7E5ADFC0D290
- Base-36: 1D8UZSB4B4
Squares and roots of 138928766112400
- 138928766112400 squared (1389287661124002) is 19301202053513942609433760000
- 138928766112400 cubed (1389287661124003) is 2681492185780813121338419384840514624000000
-
The
square root of 138928766112400 is 11786804.7456636865 -
The
cube root of 138928766112400 is 51792.1642705001
Scales and comparisons
How big is 138928766112400?- 138,928,766,112,400 seconds is equal to 4,417,505 years, 1 week, 3 days, 6 minutes, 40 seconds.
-
To count from 1 to 138,928,766,112,400 would take you about eleven million, forty-three thousand, seven hundred sixty-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 138928766112400 cubic inches would be around 4316 feet tall.
Recreational maths with 138928766112400
- 138928766112400 backwards is 004211667829831
- The number of decimal digits it has is: 15
- The sum of 138928766112400's digits is 58
- More coming soon!
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The information we have on file for 138928766112400 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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