138122348000
138,122,348,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138122348000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138122348000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138122348000:
25 × 53 × 7 × 132 × 172 × 101
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 17 × 101)See below for interesting mathematical facts about the number 138122348000 from the Numbermatics database.
Names of 138122348000
- Cardinal: 138122348000 can be written as One hundred thirty-eight billion, one hundred twenty-two million, three hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38122348 × 1011
Factors of 138122348000
Divisors of 138122348000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 56 65 68 70 80 85 91 100 101 104 112 119 125 130 136 140 160 169 170 175 182 200 202 208 221 224 238 250 260 272 280 289 325 338 340 350 364 400 404 416 425 442 455 476 500 505 520 544 560 578 595 650 676 680 700 707 728 800 808 845 850 875 884 910 952 1000 1010 1040 1105 1120 1156 1183 1190 1300 1313 1352 1360 1400 1414 1445 1456 1547 1616 1625 1690 1700 1717 1750 1768 1820 1904 2000 2020 2023 2080 2125 2210 2275 2312 2366 2380 2525 2600 2626 2704 2720 2800 2828 2873 2890 2912 2975 3094 3232 3250 3380 3400 3434 3500 3535 3536 3640 3757 3808 4000 4040 4046 4225 4250 4420 4550 4624 4732 4760 5050 5200 5252 5408 5525 5600 5656 5746 5780 5915 5950 6188 6500 6565 6760 6800 6868 7000 7070 7072 7225 7280 7514 7735 8080 8092 8450 8500 8585 8840 9100 9191 9248 9464 9520 10100 10115 10400 10504 11050 11312 11375 11492 11560 11830 11900 12019 12376 12625 13000 13130 13520 13600 13736 14000 14140 14365 14450 14560 14875 15028 15470 16160 16184 16900 17000 17069 17170 17675 17680 18200 18382 18785 18928 19040 20111 20200 20230 21008 21125 22100 22321 22624 22750 22984 23120 23660 23800 24038 24752 25250 26000 26260 26299 27040 27472 27625 28000 28280 28730 28900 29189 29575 29750 30056 30940 32368 32825 33800 34000 34138 34340 35350 35360 36125 36400 36764 37570 37856 38675 40222 40400 40460 42016 42250 42925 44200 44642 45500 45955 45968 46240 47320 47600 48076 48841 49504 50500 50575 52000 52520 52598 54944 55250 56560 57460 57800 58378 59150 59500 60095 60112 61880 64736 65650 67600 68000 68276 68680 70700 71825 72250 72800 73528 75140 77350 80444 80800 80920 84500 85345 85850 88375 88400 89284 91000 91910 91936 93925 94640 95200 96152 97682 100555 101000 101150 105040 105196 110500 111605 113120 114920 115600 116756 118300 119000 119483 120190 120224 123760 131300 131495 135200 136552 137360 141400 143650 144500 145945 147056 147875 150280 154700 156247 160888 161840 164125 169000 170690 171700 176750 176800 178568 182000 183820 187850 189280 192304 193375 195364 201110 202000 202300 204323 210080 210392 214625 221000 223210 229775 229840 231200 233512 236600 238000 238966 240380 244205 247520 252875 262600 262990 273104 274720 282800 287300 289000 290173 291890 294112 295750 300475 300560 309400 312494 321776 323680 328250 338000 341380 341887 343400 353500 357136 359125 364000 367640 375700 379457 384608 386750 390728 402220 404000 404600 408646 420784 426725 429250 442000 446420 459550 459680 467024 469625 473200 476000 477932 480760 488410 502775 505750 525200 525980 546208 558025 565600 574600 578000 580346 583780 591500 597415 600950 601120 618800 624988 643552 656500 657475 676000 682760 683774 686800 707000 714272 718250 729725 735280 751400 758914 773500 781235 781456 804440 809200 817292 841568 853450 858500 884000 892840 919100 934048 939250 946400 955864 961520 976820 1005550 1011500 1021615 1050400 1051960 1116050 1148875 1149200 1156000 1160692 1167560 1183000 1194830 1201900 1221025 1237600 1249976 1313000 1314950 1365520 1367548 1373600 1414000 1436500 1450865 1459450 1470560 1502375 1502800 1517828 1547000 1562470 1562912 1608880 1618400 1634584 1706900 1709435 1717000 1785680 1838200 1878500 1897285 1911728 1923040 1953640 2011100 2023000 2031211 2043230 2103920 2133625 2232100 2297750 2298400 2321384 2335120 2366000 2389660 2403800 2442050 2499952 2513875 2626000 2629900 2656199 2731040 2735096 2790125 2828000 2873000 2901730 2918900 2987075 3004750 3005600 3035656 3094000 3124940 3217760 3269168 3287375 3413800 3418870 3434000 3571360 3648625 3676400 3757000 3794570 3823456 3906175 3907280 4022200 4046000 4062422 4086460 4207840 4267250 4464200 4595500 4642768 4670240 4732000 4779320 4807600 4884100 4932941 4999904 5027750 5108075 5252000 5259800 5312398 5470192 5580250 5746000 5803460 5837800 5974150 6009500 6071312 6105125 6188000 6249880 6538336 6574750 6827600 6837740 6868000 7254325 7297250 7352800 7514000 7589140 7812350 7814560 8044400 8092000 8124844 8172920 8534500 8547175 8928400 9191000 9285536 9486425 9558640 9615200 9768200 9865882 10055500 10156055 10216150 10519600 10624796 10940384 11160500 11492000 11606920 11675600 11948300 12019000 12142624 12210250 12499760 13149500 13280995 13655200 13675480 14508650 14594500 14935375 15028000 15178280 15624700 16088800 16249688 16345840 17069000 17094350 17856800 18382000 18972850 19117280 19530875 19536400 19731764 20111000 20312110 20432300 21039200 21249592 22321000 23213840 23351200 23896600 24038000 24420500 24664705 24999520 25540375 26299000 26561990 27350960 29017300 29189000 29870750 30356560 31249400 32499376 32691680 34138000 34188700 34530587 36271625 36764000 37945700 39061750 39072800 39463528 40222000 40624220 40864600 42499184 42735875 44642000 46427680 47432125 47793200 48076000 48841000 49329410 50780275 51080750 52598000 53123980 54701920 58034600 58378000 59741500 60713120 62498800 64998752 66404975 68276000 68377400 69061174 72543250 75891400 78123500 78927056 80444000 81248440 81729200 84998368 85471750 89284000 94864250 95586400 97682000 98658820 101560550 102161500 105196000 106247960 116069200 116756000 119483000 123323525 124997600 132809950 136754800 138122348 145086500 151782800 156247000 157854112 162496880 163458400 170943500 172652935 189728500 195364000 197317640 203121100 204323000 212495920 232138400 238966000 246647050 253901375 265619900 273509600 276244696 290173000 303565600 312494000 324993760 332024875 341887000 345305870 379457000 394635280 406242200 408646000 424991840 477932000 493294100 507802750 531239800 552489392 580346000 616617625 624988000 664049750 683774000 690611740 758914000 789270560 812484400 817292000 863264675 986588200 1015605500 1062479600 1104978784 1160692000 1233235250 1328099500 1367548000 1381223480 1517828000 1624968800 1726529350 1973176400 2031211000 2124959200 2466470500 2656199000 2762446960 3453058700 3946352800 4062422000 4316323375 4932941000 5312398000 5524893920 6906117400 8124844000 8632646750 9865882000 10624796000 13812234800 17265293500 19731764000 27624469600 34530587000 69061174000 138122348000
- Sum of all divisors σ(n): 450551844288
- Sum of proper divisors (its aliquot sum) s(n): 312429496288
- 138122348000 is an abundant number, because the sum of its proper divisors (312429496288) is greater than itself. Its abundance is 174307148288
Bases of 138122348000
- Binary: 100000001010001011101111000101111000002
- Hexadecimal: 0x2028BBC5E0
- Base-36: 1RGAH9SW
Squares and roots of 138122348000
- 138122348000 squared (1381223480002) is 19077783017033104000000
- 138122348000 cubed (1381223480003) is 2635068184947136318208192000000000
-
The
square root of 138122348000 is 371648.1508093375 -
The
cube root of 138122348000 is 5169.1759789229
Scales and comparisons
How big is 138122348000?- 138,122,348,000 seconds is equal to 4,391 years, 44 weeks, 6 days, 6 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,122,348,000 would take you about eight thousand, seven 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 138122348000 cubic inches would be around 430.8 feet tall.
Recreational maths with 138122348000
- 138122348000 backwards is 000843221831
- 138122348000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138122348000's digits is 32
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138122348000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138122348000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138122348000/
Chicago style:
Numbermatics. 2024. "Number 138122348000 - Facts about the integer". https://numbermatics.com/n/138122348000/
The information we have on file for 138122348000 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!
Keywords: Divisors of 138122348000, math, Factors of 138122348000, curriculum, school, college, exams, university, Prime factorization of 138122348000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred twenty-two million, three hundred forty-eight thousand.