138735052151472
138,735,052,151,472 is an even composite number composed of six prime numbers multiplied together.
What does the number 138735052151472 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
138735052151472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138735052151472:
24 × 32 × 73 × 293 × 41 × 532
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 29 × 29 × 29 × 41 × 53 × 53)See below for interesting mathematical facts about the number 138735052151472 from the Numbermatics database.
Names of 138735052151472
- Cardinal: 138735052151472 can be written as One hundred thirty-eight trillion, seven hundred thirty-five billion, fifty-two million, one hundred fifty-one thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38735052151472 × 1014
Factors of 138735052151472
Divisors of 138735052151472
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 41 42 48 49 53 56 58 63 72 82 84 87 98 106 112 116 123 126 144 147 159 164 168 174 196 203 212 232 246 252 261 287 294 318 328 336 343 348 369 371 392 406 424 441 464 477 492 504 522 574 588 609 636 656 686 696 738 742 784 812 841 848 861 882 954 984 1008 1029 1044 1113 1148 1176 1189 1218 1272 1372 1392 1421 1476 1484 1537 1624 1682 1722 1764 1827 1908 1968 2009 2058 2088 2173 2226 2296 2352 2378 2436 2523 2544 2583 2597 2744 2809 2842 2952 2968 3074 3087 3248 3339 3364 3444 3528 3567 3654 3816 4018 4116 4176 4263 4346 4452 4592 4611 4756 4872 5046 5166 5194 5488 5618 5684 5887 5904 5936 6027 6148 6174 6519 6678 6728 6888 7056 7134 7308 7569 7632 7791 8036 8232 8323 8427 8526 8692 8904 9222 9512 9744 9947 10092 10332 10388 10701 10759 11236 11368 11774 12054 12296 12348 12789 13038 13356 13456 13776 13833 14063 14268 14616 15138 15211 15582 16072 16464 16646 16854 17052 17384 17661 17808 18081 18179 18444 19024 19557 19663 19894 20184 20664 20776 21402 21518 22472 22736 23373 23548 24108 24389 24592 24696 24969 25281 25578 26076 26712 27666 28126 28536 29232 29841 30276 30422 31164 32144 32277 33292 33708 34104 34481 34768 35322 36162 36358 36888 39114 39326 39788 40368 41209 41328 41552 42189 42804 43036 44573 44944 45633 46746 47096 48216 48778 49392 49938 50562 51156 52152 52983 53424 54537 55332 56252 57072 58261 58989 59682 60552 60844 62328 63017 64554 66584 67416 68208 68962 70644 72324 72716 73167 73776 74907 75313 78228 78652 79576 81461 82418 84378 85608 86072 89146 89523 91266 93492 94192 96432 96831 97556 99876 101124 102312 103443 104304 105966 106477 109074 110664 112504 115169 116522 117978 119364 121104 121688 123627 124656 126034 126567 129108 133168 133719 134832 136899 137641 137924 141288 144648 145432 146334 149814 150626 156456 157304 159152 162922 163611 164836 168756 170723 171216 172144 174783 176967 178292 179046 182532 186984 189051 193662 195112 199752 202248 204624 206886 211932 212954 218148 219501 221328 225008 225939 230338 233044 235956 238728 241367 243376 244383 247254 252068 253134 258216 267438 273798 275282 275848 282576 288463 289296 290864 292668 299628 301252 310329 312011 312912 314608 319431 325844 327222 329672 337512 341446 345507 349566 353934 356584 358092 365064 370881 373968 378102 387324 390224 399504 401157 404496 407827 412923 413772 423864 425908 436296 439002 441119 451878 460676 466088 471912 477456 482734 488766 494508 504136 506268 512169 516432 524349 527191 534876 547596 550564 551696 567153 570227 576926 585336 599256 602504 620658 624022 638862 651688 654444 659344 675024 677817 682892 691014 699132 707868 713168 716184 724101 730128 733149 741762 745339 756204 774648 802314 806183 815654 825846 827544 847728 851816 865389 872592 878004 882238 903756 921352 932176 936033 943824 958293 963487 965468 977532 989016 999949 1008272 1012536 1024338 1036521 1048698 1054382 1069752 1095192 1101128 1134306 1140454 1153852 1170672 1195061 1198512 1205008 1223481 1238769 1241316 1248044 1277724 1292617 1303376 1308888 1323357 1355634 1365784 1382028 1398264 1415736 1432368 1448202 1466298 1483524 1490678 1512408 1536507 1549296 1581573 1604628 1612366 1631308 1651692 1655088 1689569 1703632 1710681 1730778 1756008 1764476 1807512 1827493 1842704 1872066 1916586 1926974 1930936 1955064 1978032 1999898 2025072 2048676 2073042 2097396 2108764 2139504 2172303 2184077 2190384 2202256 2236017 2268612 2280908 2307704 2362369 2390122 2418549 2446962 2477538 2482632 2496088 2555448 2585234 2596167 2617776 2646714 2711268 2731568 2764056 2796528 2808099 2831472 2890461 2896404 2932596 2967048 2981356 2999847 3024816 3073014 3087833 3163146 3209256 3224732 3262616 3303384 3339901 3379138 3421362 3461556 3512016 3528952 3585183 3615024 3654986 3670443 3744132 3833172 3853948 3861872 3877851 3910128 3970071 3991589 3999796 4097352 4146084 4194792 4217528 4344606 4368154 4472034 4537224 4561816 4615408 4724738 4744719 4780244 4837098 4893924 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11282941782 11509461768 11783170728 12203998254 12347370252 12894790608 12964681072 13355318844 13427705396 13747032516 13947426576 14237997963 14585266206 15043922376 15581205318 15961234716 16271997672 16463160336 16668875664 16853140446 17264192652 17807091792 18178072871 18329376688 18983997284 19447021608 19661997187 20141558094 20620548774 20774940424 21281646288 22470853928 22565883564 23018923536 23371807977 23498484443 23566341456 24407996508 24694740504 25279710669 26710637688 26855410792 27494065032 28475995926 29170532412 30087844752 30212337141 31162410636 31922469432 32543995344 33221995247 33706280892 34528385304 36356145742 37967994568 38894043216 39323994374 40283116188 41241097548 41549880848 42713993889 44941707856 45131767128 46743615954 46996968886 48815993016 49389481008 50559421338 53421275376 53710821584 54534218613 54988130064 56951991852 58341064824 58985991561 60424674282 62324821272 63844938864 66443990494 67412561784 69056770608 70495453329 72712291484 75935989136 78647988748 80566232376 82482195096 85427987778 90263534256 93487231908 93993937772 97631986032 99665985741 101118842676 109068437226 113903983704 116682129648 117971983122 120849348564 124649642544 132887980988 134825123568 137633980309 140990906658 145424582968 157295977496 161132464752 163602655839 164964390192 170855975556 176957974683 186974463816 187987875544 199331971482 202237685352 211486359987 218136874452 227807967408 235943966244 241698697128 265775961976 275267960618 281981813316 290849165936 298997957223 314591954992 327205311678 341711951112 353915949366 373948927632 375975751088 398663942964 404475370704 412901940927 422972719974 436273748904 471887932488 483397394256 531551923952 550535921236 563963626632 597995914446 654410623356 683423902224 707831898732 797327885928 825803881854 845945439948 872547497808 943775864976 963437862163 1101071842472 1127927253264 1195991828892 1238705822781 1308821246712 1415663797464 1594655771856 1651607763708 1691890879896 1926875724326 2202143684944 2391983657784 2477411645562 2617642493424 2831327594928 2890313586489 3303215527416 3383781759792 3853751448652 4783967315568 4954823291124 5780627172978 6606431054832 7707502897304 8670940759467 9909646582248 11561254345956 15415005794608 17341881518934 19819293164496 23122508691912 34683763037868 46245017383824 69367526075736 138735052151472
- Sum of all divisors σ(n): 489631130352000
- Sum of proper divisors (its aliquot sum) s(n): 350896078200528
- 138735052151472 is an abundant number, because the sum of its proper divisors (350896078200528) is greater than itself. Its abundance is 212161026049056
Bases of 138735052151472
- Binary: 111111000101101110001011000000001011010101100002
- Hexadecimal: 0x7E2DC5805AB0
- Base-36: 1D6E040NG0
Squares and roots of 138735052151472
- 138735052151472 squared (1387350521514722) is 19247414695471655616031766784
- 138735052151472 cubed (1387350521514723) is 2670291081557268705168741817901676546306048
-
The
square root of 138735052151472 is 11778584.4714665097 -
The
cube root of 138735052151472 is 51768.0811084163
Scales and comparisons
How big is 138735052151472?- 138,735,052,151,472 seconds is equal to 4,411,345 years, 27 weeks, 1 day, 6 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,735,052,151,472 would take you about eleven million, twenty-eight thousand, three hundred sixty-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 138735052151472 cubic inches would be around 4314 feet tall.
Recreational maths with 138735052151472
- 138735052151472 backwards is 274151250537831
- The number of decimal digits it has is: 15
- The sum of 138735052151472's digits is 54
- More coming soon!
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"Number 138735052151472 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138735052151472 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138735052151472/
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The information we have on file for 138735052151472 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 138735052151472, math, Factors of 138735052151472, curriculum, school, college, exams, university, Prime factorization of 138735052151472, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred thirty-five billion, fifty-two million, one hundred fifty-one thousand, four hundred seventy-two.