138252690145440
138,252,690,145,440 is an even composite number composed of eight prime numbers multiplied together.
138252690145440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138252690145440:
25 × 32 × 5 × 13 × 31 × 37 × 151 × 42641
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 37 × 151 × 42641)See below for interesting mathematical facts about the number 138252690145440 from the Numbermatics database.
Names of 138252690145440
- Cardinal: 138252690145440 can be written as One hundred thirty-eight trillion, two hundred fifty-two billion, six hundred ninety million, one hundred forty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3825269014544 × 1014
Factors of 138252690145440
Divisors of 138252690145440
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 37 39 40 45 48 52 60 62 65 72 74 78 80 90 93 96 104 111 117 120 124 130 144 148 151 155 156 160 180 185 186 195 208 222 234 240 248 260 279 288 296 302 310 312 333 360 370 372 390 403 416 444 453 465 468 480 481 496 520 555 558 585 592 604 620 624 666 720 740 744 755 780 806 888 906 930 936 962 992 1040 1110 1116 1147 1170 1184 1208 1209 1240 1248 1332 1359 1395 1440 1443 1480 1488 1510 1560 1612 1665 1776 1812 1860 1872 1924 1963 2015 2080 2220 2232 2265 2294 2340 2405 2416 2418 2480 2664 2718 2790 2886 2960 2976 3020 3120 3224 3330 3441 3552 3624 3627 3720 3744 3848 3926 4030 4329 4440 4464 4530 4588 4680 4681 4810 4832 4836 4960 5328 5436 5580 5587 5735 5772 5889 5920 6040 6045 6240 6448 6660 6795 6882 7215 7248 7254 7440 7696 7852 8060 8658 8880 8928 9060 9176 9360 9362 9620 9672 9815 10323 10656 10872 11160 11174 11470 11544 11778 12080 12090 12896 13320 13590 13764 14043 14430 14496 14508 14880 14911 15392 15704 16120 16761 17205 17316 17667 17760 18120 18135 18352 18720 18724 19240 19344 19630 20646 21645 21744 22320 22348 22940 23088 23405 23556 24160 24180 26640 27180 27528 27935 28086 28860 29016 29445 29822 31408 32240 33522 34410 34632 35334 36240 36270 36704 37448 38480 38688 39260 41292 42129 42641 43290 43488 44640 44696 44733 45880 46176 46810 47112 48360 50283 51615 53280 54360 55056 55870 56172 57720 58032 58890 59644 60853 62816 64480 67044 68820 69264 70215 70668 72480 72540 72631 74555 74896 76960 78520 82584 83805 84258 85282 86580 88335 89392 89466 91760 93620 94224 96720 100566 103230 108720 110112 111740 112344 115440 116064 117780 119288 121706 127923 134088 134199 137640 138528 140430 141336 145080 145262 149110 149792 157040 165168 167610 168516 170564 173160 173197 176670 178784 178932 182559 183520 187240 188448 193440 201132 206460 210645 213205 217440 217893 223480 223665 224688 230880 235560 238576 243412 251415 255846 268176 268398 275280 280860 282672 290160 290524 298220 304265 314080 330336 335220 337032 341128 346320 346394 353340 357864 363155 365118 374480 383769 402264 412920 421290 426410 435786 446960 447330 449376 471120 477152 486824 502830 511692 519591 536352 536796 547677 550560 554333 561720 565344 580320 581048 596440 608530 639615 653679 670440 670995 674064 682256 692640 692788 706680 715728 726310 730236 748960 767538 804528 825840 842580 852820 865985 871572 893920 894660 912795 942240 973648 1005660 1023384 1039182 1073592 1089465 1095354 1108666 1123440 1162096 1192880 1217060 1279230 1307358 1321871 1340880 1341990 1348128 1364512 1385576 1413360 1431456 1452620 1460472 1535076 1558773 1577717 1609056 1651680 1662999 1685160 1705640 1731970 1743144 1789320 1825590 1918845 1947296 2011320 2046768 2078364 2147184 2178930 2190708 2217332 2246880 2251561 2324192 2385760 2434120 2558460 2597955 2614716 2643742 2681760 2683980 2738385 2771152 2771665 2826720 2905240 2920944 3070152 3117546 3155434 3268395 3325998 3370320 3411280 3463940 3486288 3578640 3651180 3837690 3965613 4022640 4093536 4156728 4294368 4357860 4381416 4434664 4503122 4733151 4868240 4988997 5116920 5195910 5229432 5287484 5367960 5476770 5542304 5543330 5810480 5841888 6140304 6235092 6310868 6438791 6536790 6609355 6651996 6740640 6754683 6822560 6927880 6972576 7157280 7302360 7675380 7793865 7888585 7931226 8045280 8313456 8314995 8715720 8762832 8869328 9006244 9466302 9736480 9977994 10233840 10391820 10458864 10574968 10735920 10953540 11086660 11257805 11620960 11896839 12280608 12470184 12621736 12877582 13073580 13218710 13303992 13509366 13855760 14199453 14604720 15350760 15587730 15777170 15862452 16626912 16629990 17184323 17431440 17525664 17738656 18012488 18932604 19316373 19828065 19955988 20264049 20467680 20510321 20783640 20917728 21149936 21471840 21907080 22173320 22515610 23665755 23793678 24940368 24944985 25243472 25755164 26147160 26437420 26607984 27018732 27711520 28398906 29209440 30701520 31175460 31554340 31724904 32193955 33259980 33773415 34368646 34862880 36024976 37865208 38632746 39656130 39911976 40528098 41020642 41567280 42299872 43814160 44346640 45031220 47331510 47587356 48909227 49880736 49889970 50486944 51510328 51552969 52294320 52874840 53215968 54037464 56797812 57949119 59484195 61403040 61530963 62350920 63108680 63449808 64387910 66519960 67546830 68737292 70997265 72049952 75730416 77265492 79312260 79823952 81056196 82041284 83134560 83704283 85921615 87628320 88693280 90062440 94663020 95174712 96581865 97818454 99779940 101320245 102551605 103020656 103105938 104588640 105749680 108074928 113595624 115898238 118968390 123061926 124701840 126217360 126899616 128775820 133039920 135093660 137474584 141994530 146727681 151460832 154530984 154658907 158624520 159647904 162112392 164082568 167408566 171843230 180124880 184592889 189326040 190349424 193163730 195636908 199559880 199602521 202640490 205103210 206041312 206211876 211499360 216149856 227191248 231796476 237936780 238235267 244546135 246123852 249403680 251112849 252434720 257551640 257764845 266079840 270187320 274949168 283989060 289745595 293455362 307654815 309061968 309317814 317249040 324224784 328165136 334817132 343686460 360249760 369185778 378652080 380698848 386327460 391273816 399119760 399205042 405280980 410206420 412423752 418521415 440183043 454382496 463592952 475873560 476470534 489092270 492247704 502225698 515103280 515529690 540374640 549898336 567978120 579491190 586910724 598807563 615309630 618123936 618635628 634498080 635819951 648449568 656330272 669634264 687372920 714705801 733638405 738371556 753338547 757304160 772654920 773294535 782547632 798239520 798410084 810561960 820412840 824847504 837042830 880366086 922964445 927185904 951747120 952941068 978184540 984495408 998012605 1004451396 1030206560 1031059380 1080749280 1135956240 1158982380 1173821448 1191176335 1197615126 1230619260 1237271256 1255564245 1271639902 1339268528 1374745840 1429411602 1467276810 1476743112 1506677094 1545309840 1546589070 1565095264 1596820168 1621123920 1640825680 1649695008 1674085660 1760732172 1796422689 1845928890 1854371808 1903494240 1905882136 1907459853 1956369080 1968990816 1996025210 2008902792 2062118760 2144117403 2200915215 2271912480 2317964760 2347642896 2382352670 2395230252 2461238520 2474542512 2511128490 2543279804 2594832773 2678537056 2749491680 2858823204 2934553620 2953486224 2994037815 3013354188 3090619680 3093178140 3097058471 3179099755 3193640336 3242247840 3281651360 3348171320 3521464344 3573529005 3592845378 3691857780 3766692735 3811764272 3814919706 3912738160 3992050420 4017805584 4124237520 4288234806 4401830430 4635929520 4695285792 4764705340 4790460504 4922477040 4949085024 5022256980 5086559608 5189665546 5717646408 5722379559 5869107240 5906972448 5988075630 6026708376 6186356280 6194116942 6358199510 6387280672 6696342640 7042928688 7147058010 7185690756 7383715560 7385293277 7533385470 7623528544 7629839412 7784498319 7825476320 7984100840 8035611168 8248475040 8576469612 8803660860 8982113445 9271859040 9291175413 9529410680 9537299265 9580921008 9844954080 10044513960 10173119216 10379331092 10720587015 11435292816 11444759118 11738214480 11976151260 12053416752 12372712560 12388233884 12716399020 12974163865 13392685280 14085857376 14294116020 14371381512 14767431120 14770586554 15066770940 15259678824 15485292355 15568996638 15968201680 17152939224 17607321720 17964226890 18582350826 19058821360 19074598530 19161842016 20089027920 20346238432 20758662184 21441174030 22155879831 22870585632 22889518236 23353494957 23476428960 23952302520 24106833504 24745425120 24776467768 25432798040 25948327730 27873526239 28588232040 28611897795 28742763024 29534862240 29541173108 30133541880 30519357648 30970584710 31137993276 31936403360 34305878448 35214643440 35928453780 36926466385 37164701652 38117642720 38149197060 38922491595 40178055840 41517324368 42882348060 44311759662 45779036472 46455877065 46706989914 47904605040 49552935536 50865596080 51896655460 55747052478 57176464080 57223795590 57485526048 59082346216 60267083760 61038715296 61941169420 62275986552 66467639493 68611756896 70429286880 71856907560 73852932770 74329403304 76298394120 77844983190 83034648736 85764696120 88623519324 91558072944 92911754130 93413979828 95809210080 96008812601 99105871072 101731192160 103793310920 110779399155 111494104956 114352928160 114447591180 116767474785 118164692432 120534167520 123882338840 124551973104 132935278986 139367631195 143713815120 147705865540 148658806608 152596788240 155689966380 171529392240 177247038648 183116145888 185823508260 186827959656 192017625202 207586621840 221558798310 222988209912 228895182360 233534949570 236329384864 247764677680 249103946208 265870557972 278735262390 287427630240 288026437803 295411731080 297317613216 305193576480 311379932760 332338197465 343058784480 354494077296 371647016520 373655919312 384035250404 415173243680 443117596620 445976419824 457790364720 467069899140 480044063005 495529355360 531741115944 557470524780 576052875606 590823462160 622759865520 664676394930 708988154592 743294033040 747311838624 768070500808 864079313409 886235193240 891952839648 915580729440 934139798280 960088126010 1063482231888 1114941049560 1152105751212 1181646924320 1245519731040 1329352789860 1440132189015 1486588066080 1536141001616 1728158626818 1772470386480 1868279596560 1920176252020 2126964463776 2229882099120 2304211502424 2658705579720 2880264378030 3072282003232 3456317253636 3544940772960 3736559193120 3840352504040 4320396567045 4459764198240 4608423004848 5317411159440 5760528756060 6912634507272 7680705008080 8640793134090 9216846009696 10634822318880 11521057512120 13825269014544 15361410016160 17281586268180 23042115024240 27650538029088 34563172536360 46084230048480 69126345072720 138252690145440
- Sum of all divisors σ(n): 542222976282624
- Sum of proper divisors (its aliquot sum) s(n): 403970286137184
- 138252690145440 is an abundant number, because the sum of its proper divisors (403970286137184) is greater than itself. Its abundance is 265717595991744
Bases of 138252690145440
- Binary: 111110110111101011101100111110001000000101000002
- Hexadecimal: 0x7DBD767C40A0
- Base-36: 1D08EQ4TK0
Squares and roots of 138252690145440
- 138252690145440 squared (1382526901454402) is 19113806332451042488352793600
- 138252690145440 cubed (1382526901454403) is 2642535144380302910310747003720814301184000
-
The
square root of 138252690145440 is 11758090.4123688385 -
The
cube root of 138252690145440 is 51708.0146934627
Scales and comparisons
How big is 138252690145440?- 138,252,690,145,440 seconds is equal to 4,396,007 years, 46 weeks, 6 days, 16 hours, 24 minutes.
-
To count from 1 to 138,252,690,145,440 would take you about ten million, nine hundred ninety thousand and nineteen 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 138252690145440 cubic inches would be around 4309 feet tall.
Recreational maths with 138252690145440
- 138252690145440 backwards is 044541096252831
- The number of decimal digits it has is: 15
- The sum of 138252690145440's digits is 54
- More coming soon!
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The information we have on file for 138252690145440 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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