138270427828416
138,270,427,828,416 is an even composite number composed of seven prime numbers multiplied together.
138270427828416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138270427828416:
26 × 33 × 13 × 61 × 97 × 127 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 61 × 97 × 127 × 8191)See below for interesting mathematical facts about the number 138270427828416 from the Numbermatics database.
Names of 138270427828416
- Cardinal: 138270427828416 can be written as One hundred thirty-eight trillion, two hundred seventy billion, four hundred twenty-seven million, eight hundred twenty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38270427828416 × 1014
Factors of 138270427828416
Divisors of 138270427828416
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 64 72 78 96 97 104 108 117 122 127 144 156 183 192 194 208 216 234 244 254 288 291 312 351 366 381 388 416 432 468 488 508 549 576 582 624 702 732 762 776 793 832 864 873 936 976 1016 1098 1143 1164 1248 1261 1404 1464 1524 1552 1586 1647 1651 1728 1746 1872 1952 2032 2196 2286 2328 2379 2496 2522 2619 2808 2928 3048 3104 3172 3294 3302 3429 3492 3744 3783 3904 4064 4392 4572 4656 4758 4953 5044 5238 5616 5856 5917 6096 6208 6344 6588 6604 6858 6984 7137 7488 7566 7747 8128 8191 8784 9144 9312 9516 9906 10088 10476 11232 11349 11712 11834 12192 12319 12688 13176 13208 13716 13968 14274 14859 15132 15494 16382 17568 17751 18288 18624 19032 19812 20176 20952 21411 22464 22698 23241 23668 24384 24573 24638 25376 26352 26416 27432 27936 28548 29718 30264 30988 32764 34047 35136 35502 36576 36957 38064 39624 40352 41904 42822 44577 45396 46482 47336 49146 49276 50752 52704 52832 53253 54864 55872 57096 59436 60528 61976 65528 68094 69723 71004 73152 73719 73914 76128 76921 79248 80704 83808 85644 89154 90792 92964 94672 98292 98552 100711 105408 105664 106483 106506 109728 110871 114192 118872 121056 123952 131056 136188 139446 142008 147438 147828 152256 153842 158496 159759 160147 167616 171288 178308 181584 185928 189344 196584 197104 201422 209169 212966 213012 219456 221157 221742 228384 230763 237744 242112 247904 262112 272376 278892 284016 294876 295656 302133 307684 316992 319449 319518 320294 332613 342576 356616 363168 371856 378688 393168 394208 402844 418338 425932 426024 442314 443484 456768 461526 475488 480441 495808 499651 524224 544752 557784 568032 589752 591312 604266 615368 638898 639036 640588 665226 685152 692289 713232 726336 743712 751459 786336 788416 794527 805688 836676 851864 852048 884628 886968 906399 923052 950976 958347 960882 999302 1040257 1089504 1115568 1136064 1179504 1182624 1208532 1230736 1277796 1278072 1281176 1330452 1370304 1384578 1426464 1441323 1487424 1498953 1502918 1572672 1589054 1611376 1673352 1703728 1704096 1769256 1773936 1812798 1846104 1916694 1921764 1998604 2076867 2080514 2179008 2231136 2254377 2359008 2365248 2383581 2417064 2461472 2555592 2556144 2562352 2660904 2719197 2769156 2852928 2875041 2882646 2997906 3005836 3120771 3178108 3222752 3346704 3407456 3408192 3538512 3547872 3625596 3692208 3833388 3843528 3997208 4153734 4161028 4323969 4462272 4496859 4508754 4718016 4767162 4834128 4922944 5111184 5112288 5124704 5321808 5438394 5538312 5750082 5765292 5995812 6011672 6241542 6356216 6445504 6495463 6693408 6763131 6814912 7077024 7095744 7150743 7251192 7384416 7666776 7687056 7994416 8307468 8322056 8647938 8993718 9017508 9362313 9534324 9668256 9768967 10222368 10224576 10249408 10328851 10643616 10876788 11076624 11500164 11530584 11991624 12023344 12483084 12712432 12990926 13386816 13490577 13523341 13526262 14154048 14301486 14502384 14768832 15333552 15374112 15988832 16614936 16644112 17295876 17987436 18035016 18724626 19068648 19336512 19486389 19537934 20289393 20444736 20657702 21287232 21452229 21753576 22153248 23000328 23061168 23983248 24046688 24966168 25424864 25981852 26981154 27046682 27052524 28086939 28602972 29004768 29306901 30667104 30748224 30986553 31977664 33229872 33288224 34591752 35974872 36070032 37449252 38137296 38972778 39075868 40570023 40578786 41315404 42904458 43507152 44306496 46000656 46122336 47966496 48093376 48466147 49932336 50849728 51963704 53962308 54093364 54105048 56173878 57205944 58009536 58459167 58613802 61334208 61973106 63455677 66459744 66576448 69183504 71949744 72140064 74898504 76274592 77945556 78151736 81140046 81157572 82630808 85808916 87014304 87920703 92001312 92244672 92959659 95932992 96932294 99864672 100904929 103927408 107924616 108186728 108210096 112347756 114411888 116918334 117227604 121710069 123946212 126911354 132919488 138367008 143899488 144280128 145398441 149797008 152549184 155891112 156303472 162280092 162315144 165261616 171617832 174028608 175377501 175841406 184002624 185919318 190367031 193864588 199729344 201809858 207854816 215849232 216373456 216420192 224695512 228823776 233836668 234455208 243420138 247892424 253822708 263762109 276734016 278878977 287798976 290796882 299594016 302714787 311782224 312606944 324560184 324630288 330523232 343235664 350755002 351682812 365130207 371838636 380734062 387729176 403619716 415709632 431698464 432746912 432840384 436195323 449391024 457647552 467673336 468910416 486840276 495784848 507645416 527524218 557757954 571101093 581593764 599188032 605429574 623564448 625213888 630059911 649120368 649260576 661046464 686471328 701510004 703365624 730260414 743677272 761468124 775458352 807239432 824923801 863396928 865493824 872390646 898782048 908144361 935346672 937820832 973680552 991569696 1015290832 1055048436 1115515908 1142202186 1163187528 1210859148 1247128896 1260119822 1298240736 1298521152 1308585969 1311764077 1372942656 1403020008 1406731248 1460520828 1487354544 1522936248 1550916704 1614478864 1649847602 1713303279 1744781292 1797564096 1816288722 1870693344 1875641664 1890179733 1947361104 1983139392 2030581664 2110096872 2231031816 2284404372 2326375056 2421718296 2474771403 2520239644 2596481472 2617171938 2623528154 2724433083 2806040016 2813462496 2921041656 2974709088 3045872496 3101833408 3228957728 3299695204 3426606558 3489562584 3632577444 3741386688 3780359466 3894722208 3935292231 4061163328 4220193744 4462063632 4568808744 4652750112 4843436592 4949542806 5040479288 5234343876 5247056308 5448866166 5612080032 5626924992 5670539199 5842083312 5949418176 6091744992 6155200669 6457915456 6599390408 6853213116 6979125168 7265154888 7424314209 7560718932 7789444416 7870584462 8440387488 8924127264 9137617488 9305500224 9686873184 9899085612 10080958576 10468687752 10494112616 10897732332 11224160064 11341078398 11684166624 11805876693 12183489984 12310401338 13198780816 13706426232 13958250336 14530309776 14848628418 15121437864 15741168924 16880774976 17011617597 17848254528 18275234976 18465602007 19373746368 19798171224 20161917152 20937375504 20988225232 21795464664 22272942627 22682156796 23368333248 23611753386 24620802676 26397561632 27412852464 27916500672 29060619552 29697256836 30242875728 31482337848 34023235194 35417630079 36550469952 36931204014 39596342448 40323834304 41874751008 41976450464 43590929328 44545885254 45364313592 47223506772 49241605352 52795123264 54825704928 55396806021 58121239104 59394513672 60485751456 62964675696 68046470388 70835260158 73862408028 79192684896 80017608697 83749502016 83952900928 87181858656 89091770508 90728627184 94447013544 98483210704 109651409856 110793612042 118789027344 120971502912 125929351392 136092940776 141670520316 147724816056 158385369792 160035217394 166190418063 174363717312 178183541016 181457254368 188894027088 196966421408 221587224084 237578054688 240052826091 251858702784 272185881552 283341040632 295449632112 320070434788 332380836126 356367082032 362914508736 377788054176 393932842816 443174448168 475156109376 480105652182 544371763104 566682081264 590899264224 640140869576 664761672252 712734164064 720158478273 755576108352 886348896336 960211304364 1088743526208 1133364162528 1181798528448 1280281739152 1329523344504 1425468328128 1440316956546 1772697792672 1920422608728 2160475434819 2266728325056 2560563478304 2659046689008 2880633913092 3545395585344 3840845217456 4320950869638 5121126956608 5318093378016 5761267826184 7681690434912 8641901739276 10636186756032 11522535652368 15363380869824 17283803478552 23045071304736 34567606957104 46090142609472 69135213914208 138270427828416
- Sum of all divisors σ(n): 453116029829120
- Sum of proper divisors (its aliquot sum) s(n): 314845602000704
- 138270427828416 is an abundant number, because the sum of its proper divisors (314845602000704) is greater than itself. Its abundance is 176575174172288
Bases of 138270427828416
- Binary: 111110111000001100101111011101111010000110000002
- Hexadecimal: 0x7DC197BBD0C0
- Base-36: 1D0GK2OXC0
Squares and roots of 138270427828416
- 138270427828416 squared (1382704278284162) is 19118711211853197793537069056
- 138270427828416 cubed (1382704278284163) is 2643552378790875387506407082032411511095296
-
The
square root of 138270427828416 is 11758844.6638441483 -
The
cube root of 138270427828416 is 51710.2259612249
Scales and comparisons
How big is 138270427828416?- 138,270,427,828,416 seconds is equal to 4,396,571 years, 47 weeks, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,270,427,828,416 would take you about ten million, nine hundred ninety-one thousand, four hundred twenty-nine 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 138270427828416 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138270427828416
- 138270427828416 backwards is 614828724072831
- The number of decimal digits it has is: 15
- The sum of 138270427828416's digits is 63
- More coming soon!
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"Number 138270427828416 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 138270427828416 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138270427828416/
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The information we have on file for 138270427828416 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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