138220371527040
138,220,371,527,040 is an even composite number composed of seven prime numbers multiplied together.
138220371527040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138220371527040:
27 × 35 × 5 × 11 × 19 × 1789 × 2377
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 19 × 1789 × 2377)See below for interesting mathematical facts about the number 138220371527040 from the Numbermatics database.
Names of 138220371527040
- Cardinal: 138220371527040 can be written as One hundred thirty-eight trillion, two hundred twenty billion, three hundred seventy-one million, five hundred twenty-seven thousand and forty.
Scientific notation
- Scientific notation: 1.3822037152704 × 1014
Factors of 138220371527040
Divisors of 138220371527040
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 44 45 48 54 55 57 60 64 66 72 76 80 81 88 90 95 96 99 108 110 114 120 128 132 135 144 152 160 162 165 171 176 180 190 192 198 209 216 220 228 240 243 264 270 285 288 297 304 320 324 330 342 352 360 380 384 396 405 418 432 440 456 480 486 495 513 528 540 570 576 594 608 627 640 648 660 684 704 720 760 792 810 836 855 864 880 891 912 960 972 990 1026 1045 1056 1080 1140 1152 1188 1215 1216 1254 1296 1320 1368 1408 1440 1485 1520 1539 1584 1620 1672 1710 1728 1760 1782 1789 1824 1881 1920 1944 1980 2052 2090 2112 2160 2280 2376 2377 2430 2432 2508 2565 2592 2640 2673 2736 2880 2970 3040 3078 3135 3168 3240 3344 3420 3456 3520 3564 3578 3648 3762 3888 3960 4104 4180 4224 4320 4455 4560 4617 4752 4754 4860 5016 5130 5184 5280 5346 5367 5472 5643 5760 5940 6080 6156 6270 6336 6480 6688 6840 7040 7128 7131 7156 7296 7524 7695 7776 7920 8208 8360 8640 8910 8945 9120 9234 9405 9504 9508 9720 10032 10260 10368 10560 10692 10734 10944 11286 11880 11885 12160 12312 12540 12672 12960 13365 13376 13680 14256 14262 14312 15048 15390 15552 15840 16101 16416 16720 16929 17280 17820 17890 18240 18468 18810 19008 19016 19440 19679 20064 20520 21120 21384 21393 21468 21888 22572 23085 23760 23770 24624 25080 25920 26147 26730 26752 26835 27360 28215 28512 28524 28624 30096 30780 31104 31680 32202 32832 33440 33858 33991 35640 35655 35780 36480 36936 37620 38016 38032 38880 39358 40128 41040 42768 42786 42936 45144 45163 46170 47520 47540 48303 49248 50160 50787 51840 52294 53460 53670 54720 56430 57024 57048 57248 59037 60192 61560 63360 64179 64404 65664 66880 67716 67982 71280 71310 71560 73872 75240 76064 77760 78441 78716 80256 80505 82080 84645 85536 85572 85872 90288 90326 92340 95040 95080 96606 98395 98496 100320 101574 101973 104588 106920 106965 107340 109440 112860 114048 114096 114496 118074 120384 123120 128358 128808 130735 133760 135432 135489 135964 142560 142620 143120 144909 147744 150480 152128 155520 156882 157432 161010 164160 169290 169955 171072 171144 171744 177111 180576 180652 184680 190080 190160 192537 193212 196790 196992 200640 203148 203946 209176 213840 213930 214680 225720 225815 228192 228992 235323 236148 240768 241515 246240 253935 256716 257616 261470 270864 270978 271928 285120 285240 286240 289818 295185 295488 300960 304256 305919 313764 314864 320895 322020 328320 338580 339910 342144 342288 343488 354222 361152 361304 369360 373901 380320 385074 386424 392205 393580 401280 406296 406467 407892 418352 427680 427860 429360 434727 451440 451630 456384 470646 472296 483030 492480 496793 507870 509865 513432 515232 522940 531333 541728 541956 543856 570240 570480 572480 577611 579636 590370 590976 601920 611838 627528 629728 641790 644040 677160 677445 679820 684576 686976 705969 708444 722304 722608 724545 738720 747802 760640 770148 772848 784410 787160 812592 812934 815784 836704 855360 855720 858720 869454 885555 902880 903260 912768 917757 941292 944592 962685 966060 984960 993586 1015740 1019730 1026864 1030464 1045880 1062666 1083456 1083912 1087712 1121703 1140960 1144960 1155222 1159272 1176615 1180740 1203840 1219401 1223676 1255056 1259456 1283580 1288080 1354320 1354890 1359640 1369152 1411938 1416888 1445216 1449090 1477440 1490379 1495604 1521280 1529595 1540296 1545696 1568820 1574320 1593999 1625184 1625868 1631568 1673408 1710720 1711440 1717440 1738908 1771110 1805760 1806520 1835514 1869505 1882584 1889184 1925370 1932120 1987172 2031480 2032335 2039460 2053728 2060928 2091760 2117907 2125332 2166912 2167824 2173635 2175424 2243406 2281920 2310444 2318544 2353230 2361480 2438802 2447352 2483965 2510112 2518912 2567160 2576160 2656665 2708640 2709780 2719280 2738304 2753271 2823876 2833776 2888055 2890432 2898180 2954880 2980758 2991208 3059190 3080592 3091392 3137640 3148640 3187998 3250368 3251736 3263136 3346816 3365109 3422880 3434880 3477816 3529845 3542220 3611520 3613040 3658203 3671028 3739010 3765168 3778368 3850740 3864240 3974344 4062960 4064670 4078920 4107456 4183520 4235814 4250664 4252453 4335648 4347270 4350848 4471137 4486812 4563840 4588785 4620888 4637088 4706460 4722960 4781997 4877604 4894704 4967930 5020224 5134320 5152320 5313330 5417280 5419560 5438560 5506542 5608515 5647752 5667552 5776110 5780864 5796360 5961516 5982416 6097005 6118380 6161184 6182784 6275280 6297280 6353721 6375996 6500736 6503472 6526272 6730218 6845760 6955632 7059690 7084440 7226080 7316406 7342056 7451895 7478020 7530336 7556736 7701480 7728480 7948688 7969995 8125920 8129340 8157840 8214912 8259813 8367040 8471628 8501328 8504906 8671296 8694540 8942274 8973624 9177570 9241776 9274176 9412920 9445920 9563994 9755208 9789408 9935860 10040448 10095327 10268640 10304640 10589535 10626660 10834560 10839120 10877120 10974609 11013084 11217030 11295504 11335104 11552220 11592720 11923032 11964832 12194010 12236760 12322368 12550560 12594560 12707442 12751992 12757359 13006944 13052544 13413411 13460436 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1939118568 2033190720 2041177440 2066692158 2104964235 2146145760 2153669760 2181508389 2245295184 2296324620 2341249920 2414413980 2422878480 2423898210 2449412928 2525957082 2575374912 2585491424 2643140160 2666288031 2721569920 2755589544 2806618980 2861527680 2907454176 2908677852 2993726912 3060478080 3061766160 3219218640 3230504640 3231864280 3367942776 3444486930 3511874880 3555050708 3634317720 3635847315 3674119392 3742158640 3788935623 3863062368 3876605568 3878237136 4066381440 4082354880 4133384316 4209928470 4292291520 4363016778 4443813385 4490590368 4592649240 4828827960 4845756960 4847796420 4898825856 5051914164 5150749824 5166730395 5170982848 5286280320 5332576062 5511179088 5613237960 5814908352 5817355704 5987453824 6123532320 6314892705 6438437280 6461009280 6463728560 6544525167 6735885552 6888973860 7023749760 7110101416 7268635440 7271694630 7348238784 7484317280 7577871246 7726124736 7756474272 7998864093 8164709760 8266768632 8419856940 8584583040 8726033556 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44089432704 44905903680 45467227476 46538845632 47993184558 50519141640 51709828480 52356201336 53325760620 53887084416 55111790880 56834034345 56880811328 58149083520 58173557040 60622969968 63990912744 65445251670 66134149056 67358855520 69808268448 71101014160 71989776837 73482387840 75778712460 77261247360 77564742720 78534302004 79988640930 80830626624 82667686320 85321216992 87260335560 89811807360 90934454952 93077691264 95986369116 98167877505 101038283280 104712402672 106651521240 110223581760 113668068690 113761622656 116347114080 119982961395 121245939936 127981825488 130890503340 132268298112 134717711040 139616536896 142202028320 143979553674 151557424920 155129485440 157068604008 159977281860 161661253248 165335372640 170642433984 174520671120 181868909904 191972738232 196335755010 202076566560 209424805344 213303042480 215969330511 220447163520 227336137380 232694228160 239965922790 242491879872 255963650976 261781006680 269435422080 279233073792 284404056640 287959107348 303114849840 314137208016 319954563720 330670745280 341284867968 349041342240 359948884185 363737819808 383945476464 392671510020 404153133120 418849610688 426606084960 431938661022 454672274760 465388456320 479931845580 484983759744 511927301952 523562013360 568808113280 575918214696 606229699680 628274416032 639909127440 661341490560 698082684480 719897768370 727475639616 767890952928 785343020040 808306266240 837699221376 853212169920 863877322044 909344549520 959863691160 1023854603904 1047124026720 1079846652555 1151836429392 1212459399360 1256548832064 1279818254880 1396165368960 1439795536740 1454951279232 1535781905856 1570686040080 1706424339840 1727754644088 1818689099040 1919727382320 2094248053440 2159693305110 2303672858784 2424918798720 2513097664128 2559636509760 2879591073480 3071563811712 3141372080160 3455509288176 3637378198080 3839454764640 4188496106880 4319386610220 4607345717568 5119273019520 5759182146960 6282744160320 6911018576352 7274756396160 7678909529280 8638773220440 9214691435136 11518364293920 12565488320640 13822037152704 15357819058560 17277546440880 23036728587840 27644074305408 34555092881760 46073457175680 69110185763520 138220371527040
- Sum of all divisors σ(n): 568943234496000
- Sum of proper divisors (its aliquot sum) s(n): 430722862968960
- 138220371527040 is an abundant number, because the sum of its proper divisors (430722862968960) is greater than itself. Its abundance is 292502491441920
Bases of 138220371527040
- Binary: 111110110110101111100000010010101000101100000002
- Hexadecimal: 0x7DB5F0254580
- Base-36: 1CZTK8GO00
Squares and roots of 138220371527040
- 138220371527040 squared (1382203715270402) is 19104871105072969941451161600
- 138220371527040 cubed (1382203715270403) is 2640682382119397154596885912675373809664000
-
The
square root of 138220371527040 is 11756716.0179635197 -
The
cube root of 138220371527040 is 51703.9852074841
Scales and comparisons
How big is 138220371527040?- 138,220,371,527,040 seconds is equal to 4,394,980 years, 14 weeks, 14 hours, 24 minutes.
-
To count from 1 to 138,220,371,527,040 would take you about ten million, nine hundred eighty-seven thousand, four hundred fifty 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 138220371527040 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138220371527040
- 138220371527040 backwards is 040725173022831
- 138220371527040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138220371527040's digits is 45
- More coming soon!
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"Number 138220371527040 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138220371527040 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138220371527040/
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The information we have on file for 138220371527040 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 138220371527040, math, Factors of 138220371527040, curriculum, school, college, exams, university, Prime factorization of 138220371527040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred twenty billion, three hundred seventy-one million, five hundred twenty-seven thousand and forty.