138701790725940
138,701,790,725,940 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138701790725940 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138701790725940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138701790725940:
22 × 34 × 5 × 13 × 293 × 312 × 281
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 29 × 29 × 29 × 31 × 31 × 281)See below for interesting mathematical facts about the number 138701790725940 from the Numbermatics database.
Names of 138701790725940
- Cardinal: 138701790725940 can be written as One hundred thirty-eight trillion, seven hundred one billion, seven hundred ninety million, seven hundred twenty-five thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3870179072594 × 1014
Factors of 138701790725940
Divisors of 138701790725940
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 29 30 31 36 39 45 52 54 58 60 62 65 78 81 87 90 93 108 116 117 124 130 135 145 155 156 162 174 180 186 195 234 260 261 270 279 281 290 310 324 348 351 372 377 390 403 405 435 465 468 522 540 558 562 580 585 620 702 754 780 783 806 810 837 841 843 870 899 930 961 1044 1053 1116 1124 1131 1170 1209 1305 1395 1404 1405 1508 1566 1612 1620 1674 1682 1686 1740 1755 1798 1860 1885 1922 2015 2106 2262 2340 2349 2418 2511 2523 2529 2610 2697 2790 2810 2883 3132 3348 3364 3372 3393 3510 3596 3627 3653 3770 3844 3915 4030 4185 4205 4212 4215 4495 4524 4698 4805 4836 5022 5046 5058 5220 5265 5394 5580 5620 5655 5766 6045 6786 7020 7254 7306 7540 7569 7587 7830 8060 8091 8149 8370 8410 8430 8649 8711 8990 9396 9610 10044 10092 10116 10179 10530 10788 10881 10933 10959 11310 11532 11687 11745 12090 12493 12555 12615 12645 13485 13572 14415 14508 14612 15138 15174 15660 16182 16298 16740 16820 16860 16965 17298 17422 17980 18135 18265 19220 20358 21060 21762 21866 21918 22620 22707 22761 23374 23490 24180 24273 24389 24447 24986 25110 25230 25290 25947 26071 26133 26970 27869 28830 30276 30348 30537 32364 32596 32643 32799 32877 33930 34596 34844 35061 36270 36530 37479 37845 37935 40455 40716 40745 43245 43524 43555 43732 43836 45414 45522 46748 46980 48546 48778 48894 49972 50220 50460 50580 50895 51894 52142 52266 53940 54405 54665 54795 55738 57660 58435 61074 62465 65286 65598 65754 67860 68121 70122 72540 72819 73060 73167 73341 74958 75690 75870 77841 78213 78399 80910 81490 83607 86490 87110 90828 91044 97092 97556 97788 98397 98631 101790 103788 104284 104532 105183 105937 108810 109330 109590 111476 112437 113243 113535 113805 116870 121365 121945 122148 122235 124930 129735 130355 130572 130665 131196 131508 136242 139345 140244 145638 146334 146682 149916 151380 151740 152685 155682 156426 156798 161820 162980 163215 163995 164385 167214 172980 174220 175305 187395 196794 197262 203580 210366 211874 217620 218660 219180 219501 220023 224874 226486 227070 227610 233740 234639 235197 236321 242730 243890 244470 249860 250821 252619 259470 260710 261330 270041 272484 278690 291276 292668 293364 295191 295893 305370 311364 312852 313596 315549 317057 317811 326430 327990 328770 334428 337311 338923 339729 340605 350610 362297 364095 365835 366705 374790 389205 391065 391995 393588 394524 418035 420732 423748 439002 440046 449748 452972 454140 455220 469278 470394 472642 485460 487780 488940 491985 493155 501642 505238 518940 521420 522660 525915 529685 540082 557380 562185 566215 590382 591786 610740 631098 634114 635622 652860 655980 657540 658503 660069 674622 677846 679458 681210 701220 703917 705591 708963 724594 728190 731670 733410 749580 752463 756059 757857 778410 782130 783990 808201 810123 836070 878004 880092 885573 938556 940788 945284 946647 951171 953433 983970 986310 1003284 1010476 1011933 1016769 1019187 1051830 1059370 1080164 1086891 1097505 1100115 1124370 1132430 1173195 1175985 1180764 1181605 1183572 1254105 1262196 1263095 1268228 1271244 1317006 1320138 1349244 1350205 1355692 1358916 1362420 1407834 1411182 1417926 1449188 1456380 1463340 1466820 1475955 1479465 1504926 1512118 1515714 1556820 1564260 1567980 1577745 1585285 1589055 1616402 1620246 1672140 1686555 1694615 1698645 1771146 1811485 1893294 1902342 1906866 1967940 1972620 1975509 2023866 2033538 2038374 2103660 2111751 2118740 2126889 2173782 2195010 2200230 2248740 2257389 2264860 2268177 2273571 2346390 2351970 2363210 2424603 2430369 2508210 2526190 2634012 2640276 2700410 2815668 2822364 2835852 2853513 2860299 2951910 2958930 3009852 3024236 3031428 3050307 3057561 3072173 3155490 3170570 3178110 3232804 3240492 3260673 3284047 3292515 3300345 3373110 3389230 3397290 3510533 3519585 3527955 3542292 3544815 3622970 3762315 3780295 3786588 3789285 3804684 3813732 3951018 4041005 4047732 4050615 4067076 4076748 4223502 4253778 4347564 4390020 4400460 4427865 4514778 4536354 4547142 4692780 4703940 4726420 4733235 4755855 4767165 4849206 4860738 5016420 5052380 5059665 5083845 5095935 5400820 5434455 5707026 5720598 5903820 5917860 6100614 6115122 6144346 6310980 6341140 6356220 6380667 6521346 6568094 6585030 6600690 6746220 6778460 6794580 6804531 6820713 6853309 7021066 7039170 7055910 7089630 7245940 7273809 7291107 7325951 7524630 7560590 7578570 7831189 7902036 8082010 8101230 8447004 8507556 8560539 8580897 8855730 9029556 9072708 9094284 9150921 9172683 9216519 9466470 9511710 9534330 9698412 9721476 9782019 9828767 9852141 9877545 10119330 10167690 10191870 10506613 10531599 10558755 10634445 10868910 11286945 11340885 11367855 11414052 11441196 12123015 12151845 12201228 12230244 12288692 12761334 13042692 13136188 13170060 13201380 13609062 13641426 13706618 14042132 14078340 14111820 14179260 14267565 14301495 14547618 14582214 14651902 15049260 15121180 15157140 15251535 15287805 15360865 15662378 16164020 16202460 16303365 16420235 17121078 17161794 17552665 17711460 18301842 18345366 18433038 18932940 19023420 19068660 19142001 19564038 19657534 19704282 19755090 20238660 20335380 20383740 20413593 20462139 20559927 21013226 21063198 21117510 21268890 21737820 21821427 21873321 21977853 22573890 22681770 22735710 23437829 23493567 24246030 24303690 25522668 25681617 27218124 27282852 27413236 27452763 27649557 28535130 28602990 29095236 29164428 29303804 29346057 29486301 29556423 30503070 30575610 30721730 31324756 31519839 31594797 31903335 32606730 32840470 34022655 34103565 34242156 34266545 34323588 35105330 36369045 36455535 36603684 36629755 36690732 36866076 38284002 39128076 39155945 39315068 39408564 39510180 40827186 40924278 41119854 42026452 42126396 42235020 42537780 42802695 42904485 43642854 43746642 43955706 45147780 45363540 45471420 45754605 45863415 46082595 46875658 46987134 48492060 48607380 48910095 49143835 49260705 51363234 52533065 52657995 54905526 55299114 57070260 57205980 58692114 58972602 59112846 61006140 61151220 61240779 61443460 61679781 63039678 63189594 63806670 65213460 65464281 65680940 65933559 68045310 68207130 68533090 70210660 70313487 70480701 72738090 72911070 73259510 76568004 78311890 81654372 81848556 82239708 82948671 85605390 85808970 87285708 87493284 87911412 88458903 88669269 89093017 91509210 91726830 92165190 93751316 93974268 94559517 94784391 95237363 95710005 97820190 98287670 98521410 101805457 102067965 102310695 102726468 102799635 105066130 105315990 109107135 109366605 109811052 109889265 110598228 117189145 117384228 117467835 117945204 118225692 122481558 123359562 126079356 126379188 127613340 128408085 130928562 131867118 136090620 136414260 137066180 137263815 138247785 140626974 140961402 145476180 145822140 146519020 146730285 147431505 147782115 156623780 157599195 157973985 165897342 171210780 171617940 176917806 177338538 178186034 183018420 183453660 184330380 185039343 189119034 189568782 190474726 191420010 195640380 196575340 197042820 197800677 203610914 204135930 204621390 205599270 210132260 210631980 210940461 211442103 212452579 218214270 218733210 219778530 227104481 234378290 234935670 244963116 246719124 248846013 256816170 261857124 263734236 265376709 266007807 267279051 274527630 276495570 281253948 281922804 283678551 284353173 285712089 293460570 294863010 295564230 304691777 305416371 306203895 308398905 315198390 315947970 327321405 329667795 331794684 351567435 352403505 353835612 354677076 356372068 370078686 378238068 379137564 380949452 382840020 395601354 407221828 408271860 409242780 411198540 414743355 421880922 422884206 424905158 436428540 437466420 439557060 442294515 443346345 445465085 454208962 468756580 469871340 472797585 473921955 476186815 497692026 509027285 513632340 530753418 532015614 534558102 549055260 552991140 555118029 567357102 568706346 571424178 586921140 589726020 591128460 593402031 609383554 610832742 612407790 616797810 630396780 631895940 632821383 634326309 637357737 654642810 659335590 681313443 703134870 704807010 740157372 791202708 796130127 801837153 829486710 843761844 845768412 849810316 851035653 857136267 884589030 886692690 890930170 908417924 914075331 916249113 925196715 945595170 947843910 952373630 989003385 995384052 1018054570 1054702305 1057210515 1061506836 1062262895 1064031228 1069116204 1110236058 1134714204 1135522405 1137412692 1142848356 1186804062 1218767108 1221665484 1224815580 1233595620 1244230065 1265642766 1268652618 1274715474 1309285620 1318671180 1326883545 1330039035 1336395255 1362626886 1406269740 1409614020 1418392755 1421765865 1428560445 1523458885 1527081855 1592260254 1603674306 1658973420 1702071306 1714272534 1769178060 1773385380 1781860340 1828150662 1832498226 1850393430 1891190340 1895687820 1898464149 1904747260 1912073211 1978006770 2036109140 2043940329 2109404610 2114421030 2124525790 2220472116 2271044810 2373608124 2405511459 2488460130 2531285532 2537305236 2549430948 2571408801 2653767090 2660078070 2672790510 2725253772 2742225993 2748747339 2761883527 2775590145 2836785510 2843531730 2857120890 2952358253 2967010155 3046917770 3054163710 3164106915 3171631545 3184520508 3186788685 3207348612 3404142612 3406567215 3428545068 3656301324 3664996452 3700786860 3796928298 3824146422 3956013540 3980650635 4009185765 4087880658 4218809220 4228842060 4249051580 4255178265 4285681335 4542089620 4570376655 4581245565 4811022918 4976920260 5142817602 5307534180 5320156140 5345581020 5484451986 5497494678 5523767054 5551180290 5673571020 5687063460 5714241780 5736219633 5904716506 5934020310 6093835540 6108327420 6131820987 6328213830 6343263090 6373577370 6586029949 6813134430 7216534377 7593856596 7648292844 7714226403 7961301270 8018371530 8175761316 8226677979 8246242017 8285650581 8510356530 8571362670 8857074759 9140753310 9162491130 9492320745 9560366055 9622045836 10219701645 10285635204 10968903972 10994989356 11047534108 11102360580 11472439266 11809433012 11868040620 12027557295 12263641974 12656427660 12686526180 12747154740 12857044005 13172059898 13626268860 13711129965 13743736695 13809417635 14433068754 14761791265 15428452806 15922602540 16036743060 16453355958 16492484034 16571301162 17020713060 17142725340 17208658899 17714149518 18281506620 18324982260 18395462961 18984641490 19120732110 19758089847 20439403290 22944878532 24055114590 24527283948 24680033937 24856951743 25714088010 26344119796 26571224277 27422259930 27487473390 27618835270 28681098165 28866137508 29523582530 30659104935 30856905612 32906711916 32930149745 32984968068 33142602324 34417317798 35428299036 36082671885 36790925922 37969282980 38241464220 38571132015 39516179694 40878806580 41133389895 41231210085 41428252905 44285373795 48110229180 49360067874 49713903486 51428176020 53142448554 54844519860 54974946780 55237670540 57362196330 59047165060 59274269541 61318209870 65860299490 68834635596 72165343770 73581851844 74570855229 77142264030 79032359388 79713672831 82266779790 82462420170 82856505810 85618389337 86043294495 88570747590 91977314805 98720135748 98790449235 99427806972 106284897108 114724392660 118548539082 122636419740 123400169685 124284758715 131720598980 132856121385 144330687540 149141710458 154284528060 159427345662 164533559580 164924840340 165713011620 171236778674 172086588990 177141495180 177822808623 183954629610 197580898470 223712565687 237097078164 239141018493 246800339370 248569517430 256855168011 265712242770 296371347705 298283420916 318854691324 342473557348 344173177980 355645617246 367909259220 372854276145 395161796940 398568364155 428091946685 447425131374 478282036986 493600678740 497139034860 513710336022 531424485540 533468425869 592742695410 711291234492 745708552290 770565504033 797136728310 856183893370 889114043115 894850262748 956564073972 1027420672044 1066936851738 1118562828435 1185485390820 1195705092465 1284275840055 1491417104580 1541131008066 1594273456620 1712367786740 1778228086230 2133873703476 2237125656870 2311696512099 2391410184930 2568551680110 2667342129345 3082262016132 3556456172460 3852827520165 4474251313740 4623393024198 4782820369860 5137103360220 5334684258690 6935089536297 7705655040330 9246786048396 10669368517380 11558482560495 13870179072594 15411310080660 23116965120990 27740358145188 34675447681485 46233930241980 69350895362970 138701790725940
- Sum of all divisors σ(n): 503262301560480
- Sum of proper divisors (its aliquot sum) s(n): 364560510834540
- 138701790725940 is an abundant number, because the sum of its proper divisors (364560510834540) is greater than itself. Its abundance is 225858720108600
Bases of 138701790725940
- Binary: 111111000100110000001101111011101000111001101002
- Hexadecimal: 0x7E2606F74734
- Base-36: 1D5YQ10V90
Squares and roots of 138701790725940
- 138701790725940 squared (1387017907259402) is 19238186750582455392188883600
- 138701790725940 cubed (1387017907259403) is 2668370952625839395209577840827242160584000
-
The
square root of 138701790725940 is 11777172.4418868895 -
The
cube root of 138701790725940 is 51763.9436829857
Scales and comparisons
How big is 138701790725940?- 138,701,790,725,940 seconds is equal to 4,410,287 years, 47 weeks, 3 days, 1 hour, 39 minutes.
-
To count from 1 to 138,701,790,725,940 would take you about eleven million, twenty-five thousand, seven hundred 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 138701790725940 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138701790725940
- 138701790725940 backwards is 049527097107831
- The number of decimal digits it has is: 15
- The sum of 138701790725940's digits is 63
- 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 138701790725940 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138701790725940 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138701790725940/
Chicago style:
Numbermatics. 2024. "Number 138701790725940 - Facts about the integer". https://numbermatics.com/n/138701790725940/
The information we have on file for 138701790725940 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 138701790725940, math, Factors of 138701790725940, curriculum, school, college, exams, university, Prime factorization of 138701790725940, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred one billion, seven hundred ninety million, seven hundred twenty-five thousand, nine hundred forty.