138500915277816
138,500,915,277,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 138500915277816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138500915277816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138500915277816:
23 × 38 × 75 × 132 × 929
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 929)See below for interesting mathematical facts about the number 138500915277816 from the Numbermatics database.
Names of 138500915277816
- Cardinal: 138500915277816 can be written as One hundred thirty-eight trillion, five hundred billion, nine hundred fifteen million, two hundred seventy-seven thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38500915277816 × 1014
Factors of 138500915277816
Divisors of 138500915277816
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 78 81 84 91 98 104 108 117 126 147 156 162 168 169 182 189 196 216 234 243 252 273 294 312 324 338 343 351 364 378 392 441 468 486 504 507 546 567 588 637 648 676 686 702 728 729 756 819 882 929 936 972 1014 1029 1053 1092 1134 1176 1183 1274 1323 1352 1372 1404 1458 1512 1521 1638 1701 1764 1858 1911 1944 2028 2058 2106 2184 2187 2268 2366 2401 2457 2548 2646 2744 2787 2808 2916 3042 3087 3159 3276 3402 3528 3549 3716 3822 3969 4056 4116 4212 4374 4459 4536 4563 4732 4802 4914 5096 5103 5292 5574 5733 5832 6084 6174 6318 6503 6552 6561 6804 7098 7203 7371 7432 7644 7938 8232 8281 8361 8424 8748 8918 9126 9261 9464 9477 9604 9828 10206 10584 10647 11148 11466 11907 12077 12168 12348 12636 13006 13122 13377 13608 13689 14196 14406 14742 15288 15309 15876 16562 16722 16807 17199 17496 17836 18252 18522 18954 19208 19509 19656 20412 21294 21609 22113 22296 22932 23814 24154 24696 24843 25083 25272 26012 26244 26754 27378 27783 28392 28431 28812 29484 30618 31213 31752 31941 33124 33444 33614 34398 35672 35721 36231 36504 37044 37908 39018 40131 40824 41067 42588 43218 44226 45521 45864 45927 47628 48308 49686 50166 50421 51597 52024 52488 53508 54756 55566 56862 57624 57967 58527 58968 61236 62426 63882 64827 66248 66339 66888 67228 68796 71442 72462 74088 74529 75249 75816 78036 80262 82134 83349 84539 85176 85293 86436 88452 91042 91854 93639 95256 95823 96616 99372 100332 100842 103194 107016 107163 108693 109512 111132 113724 115934 117054 120393 122472 123201 124852 127764 129654 132678 134456 136563 137592 142884 144924 149058 150498 151263 154791 156072 157001 160524 164268 166698 169078 170586 172872 173901 175581 176904 182084 183708 187278 191646 194481 198744 199017 200664 201684 206388 214326 217386 218491 222264 223587 225747 227448 231868 234108 240786 246402 249704 250047 253617 255528 259308 265356 273126 280917 285768 287469 289848 298116 300996 302526 309582 314002 318647 321048 321489 326079 328536 333396 338156 341172 347802 351162 361179 364168 367416 369603 374556 383292 388962 398034 403368 405769 409689 412776 428652 434772 436982 447174 451494 453789 463736 464373 468216 471003 481572 492804 500094 507234 518616 521703 526743 530712 546252 561834 574938 583443 591773 596232 597051 601992 605052 619164 628004 637294 642978 652158 655473 666792 670761 676312 677241 682344 695604 702324 722358 739206 749112 750141 760851 766584 777924 796068 811538 819378 842751 857304 862407 869544 873964 894348 902988 907578 928746 942006 955941 963144 978237 985608 1000188 1014468 1043406 1053486 1083537 1092504 1099007 1108809 1123668 1149876 1166886 1183546 1194102 1210104 1217307 1229067 1238328 1256008 1274588 1285956 1304316 1310946 1341522 1354482 1361367 1391208 1393119 1404648 1413009 1444716 1478412 1500282 1521702 1555848 1565109 1580229 1592136 1623076 1638756 1685502 1724814 1747928 1750329 1775319 1788696 1805976 1815156 1857492 1884012 1911882 1956474 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8922116 9001692 9130212 9390654 9481374 9738456 9751833 9832536 9891063 10113012 10348884 10501974 10651914 10890936 10955763 11061603 11144952 11304072 11361532 11471292 11738844 11798514 12073698 12190338 12252303 12427233 12520872 12641832 12717081 13002444 13188084 13383174 13695318 14002632 14085981 14202552 14222061 14607684 14748804 15169518 15386098 15523326 15613703 15731352 15752961 15977871 16098264 16253784 16336404 16569644 16717428 16956108 17042298 17206938 17608266 17697771 17844232 18003384 18110547 18260424 18781308 18962748 19503666 19782126 20074761 20226024 20542977 20697768 21003948 21303828 21911526 22123206 22723064 22754277 22942584 23079147 23477688 23597028 24147396 24380676 24504606 24854466 25434162 25563447 25810407 26004888 26376168 26412399 26766348 27390636 28171962 28444122 28996877 29215368 29255499 29497608 29673189 30339036 30772196 31046652 31227406 31505922 31955742 32672808 32867289 33139288 33184809 33434856 33912216 34084596 34413876 35216532 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143800839 144884376 147027636 149126796 152604972 153380682 154862442 158474394 159279939 160598088 161554029 164343816 169031772 170664732 173981262 178039134 180672849 182034216 184633176 184886793 187364436 191734452 197203734 199108854 202978139 204507576 204788493 206483256 207712323 211299192 212373252 215405372 217326564 220541454 223690194 228907458 230071023 231975016 232293663 234043992 237385512 240897132 246515724 253547658 260971893 262938312 265478472 267058701 273051324 276949764 281046654 287601678 294055272 295805601 298253592 298663281 305209944 306761364 309724884 316948788 318559878 323108058 335535291 338063544 341329464 343361187 347962524 356078268 361345698 369773586 374728872 376959401 380321487 383468904 394407468 398217708 405956278 409576986 415424646 421569981 424746504 430810744 431402517 434653128 441082908 447380388 457814916 460142046 464587326 477839817 481794264 484662087 493031448 507095316 521943786 534117402 542018547 546102648 553899528 554660379 562093308 575203356 591611202 597326562 608934417 613522728 619449768 623136969 633897576 637119756 646216116 671070582 686722374 690213069 695925048 696880989 712156536 722691396 739547172 753918802 760642974 782915679 788814936 796435416 801176103 811912556 819153972 830849292 843139962 862805034 882165816 887416803 894760776 915629832 920284092 929174652 955679634 969324174 1006605873 1014190632 1030083561 1043887572 1068234804 1084037094 1109320758 1124186616 1130878203 1150406712 1183222404 1194653124 1217868834 1246273938 1264709943 1274239512 1292432232 1294207551 1342141164 1373444748 1380426138 1393761978 1433519451 1445382792 1453986261 1479094344 1507837604 1521285948 1565831358 1602352206 1623825112 1626055641 1638307944 1661698584 1686279924 1725610068 1774833606 1826803251 1840568184 1858349304 1869410907 1911359268 1938648348 2013211746 2060167122 2070639207 2087775144 2090642967 2136469608 2168074188 2218641516 2261756406 2348747037 2366444808 2389306248 2403528309 2435737668 2492547876 2529419886 2588415102 2638715807 2662250409 2684282328 2746889496 2760852276 2787523956 2867038902 2907972522 3015675208 3019817619 3042571896 3131662716 3204704412 3252111282 3372559848 3392634609 3451220136 3549667212 3653606502 3738821814 3794129829 3822718536 3877296696 3882622653 4026423492 4120334244 4141278414 4181285934 4336148376 4361958783 4437283032 4523512812 4697494074 4807056618 4871475336 4878166923 4985095752 5058839772 5176830204 5277431614 5324500818 5480409753 5521704552 5575047912 5608232721 5734077804 5815945044 6039635238 6211917621 6263325432 6409408824 6504222564 6785269218 7046241111 7099334424 7210584927 7307213004 7477643628 7588259658 7765245306 7916147421 8052846984 8240668488 8282556828 8362571868 8723917566 9047025624 9059452857 9394988148 9614113236 9756333846 10117679544 10177903827 10353660408 10554863228 10649001636 10960819506 11216465442 11382389487 11468155608 11631890088 12079270476 12423835242 13008445128 13085876349 13570538436 14092482222 14421169854 14614426008 14634500769 14955287256 15176519316 15530490612 15832294842 16441229259 16565113656 16725143736 16824698163 17447835132 18118905714 18635752863 18789976296 19228226472 19512667692 20355807654 21109726456 21138723333 21298003272 21921639012 22432930884 22764778974 23748442263 24158540952 24847670484 26171752698 27141076872 27178358571 28184964444 28842339708 29269001538 30353038632 30533711481 31060981224 31664589684 32882458518 33649396326 34147168461 34895670264 36237811428 37271505726 39025335384 39257629047 40711615308 42277446666 43843278024 44865861768 45529557948 47496884526 49323687777 49695340968 50474094489 52343505396 54356717142 56369928888 57684679416 58538003076 61067422962 63329179368 63416169999 65764917036 67298792652 68294336922 71245326789 72475622856 74543011452 78515258094 81423230616 84554893332 91059115896 91601134443 94993769052 98647375554 100948188978 102441505383 104687010792 108713434284 117076006152 117772887141 122134845924 126832339998 131529834072 134597585304 136588673844 142490653578 147971063331 149086022904 157030516188 169109786664 183202268886 189987538104 190248509997 197294751108 201896377956 204883010766 213735980367 217426868568 235545774282 244269691848 253664679996 273177347688 274803403329 284981307156 295942126662 314061032376 353318661423 366404537772 380497019994 394589502216 403792755912 409766021532 427471960734 443913189993 471091548564 507329359992 549606806658 569962614312 591884253324 641207941101 706637322846 732809075544 760994039988 819532043064 824410209987 854943921468 887826379986 942183097128 1099213613316 1183768506648 1282415882202 1331739569979 1413274645692 1521988079976 1648820419974 1709887842936 1775652759972 1923623823303 2198427226632 2473230629961 2564831764404 2663479139958 2826549291384 3297640839948 3551305519944 3847247646606 4946461259922 5129663528808 5326958279916 5770871469909 6595281679896 7694495293212 9892922519844 10653916559832 11541742939818 15388990586424 17312614409727 19785845039688 23083485879636 34625228819454 46166971759272 69250457638908 138500915277816
- Sum of all divisors σ(n): 492603879034800
- Sum of proper divisors (its aliquot sum) s(n): 354102963756984
- 138500915277816 is an abundant number, because the sum of its proper divisors (354102963756984) is greater than itself. Its abundance is 215602048479168
Bases of 138500915277816
- Binary: 111110111110111010000011101101100101111111110002
- Hexadecimal: 0x7DF741DB2FF8
- Base-36: 1D3EFWYVI0
Squares and roots of 138500915277816
- 138500915277816 squared (1385009152778162) is 19182503532792765480461729856
- 138500915277816 cubed (1385009152778163) is 2656794296611736925890719142258774181674496
-
The
square root of 138500915277816 is 11768641.1823037581 -
The
cube root of 138500915277816 is 51738.9424938107
Scales and comparisons
How big is 138500915277816?- 138,500,915,277,816 seconds is equal to 4,403,900 years, 36 weeks, 18 hours, 3 minutes, 36 seconds.
-
To count from 1 to 138,500,915,277,816 would take you about eleven million, nine thousand, seven hundred fifty-one 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 138500915277816 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138500915277816
- 138500915277816 backwards is 618772519005831
- 138500915277816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138500915277816's digits is 63
- More coming soon!
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"Number 138500915277816 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138500915277816 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138500915277816/
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The information we have on file for 138500915277816 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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