138327921737208
138,327,921,737,208 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138327921737208 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
138327921737208 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138327921737208:
23 × 32 × 7 × 37 × 41 × 67 × 71 × 73 × 521
(2 × 2 × 2 × 3 × 3 × 7 × 37 × 41 × 67 × 71 × 73 × 521)See below for interesting mathematical facts about the number 138327921737208 from the Numbermatics database.
Names of 138327921737208
- Cardinal: 138327921737208 can be written as One hundred thirty-eight trillion, three hundred twenty-seven billion, nine hundred twenty-one million, seven hundred thirty-seven thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38327921737208 × 1014
Factors of 138327921737208
Divisors of 138327921737208
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 41 42 56 63 67 71 72 73 74 82 84 111 123 126 134 142 146 148 164 168 201 213 219 222 246 252 259 268 284 287 292 296 328 333 369 402 426 438 444 469 492 497 504 511 518 521 536 568 574 584 603 639 657 666 738 777 804 852 861 876 888 938 984 994 1022 1036 1042 1148 1206 1278 1314 1332 1407 1476 1491 1517 1533 1554 1563 1608 1704 1722 1752 1876 1988 2044 2072 2084 2296 2331 2412 2479 2556 2583 2627 2628 2664 2701 2747 2814 2911 2952 2982 2993 3034 3066 3108 3126 3444 3647 3752 3976 4088 4168 4221 4473 4551 4599 4662 4689 4757 4824 4891 4958 5112 5166 5183 5254 5256 5402 5494 5628 5822 5964 5986 6068 6132 6216 6252 6888 7294 7437 7881 8103 8241 8442 8733 8946 8979 9102 9198 9324 9378 9514 9782 9916 10332 10366 10508 10619 10804 10941 10988 11256 11644 11928 11972 12136 12264 12504 13653 14271 14588 14673 14874 15549 15762 16206 16482 16884 17353 17466 17892 17958 18204 18389 18396 18648 18756 18907 19028 19229 19277 19564 19832 20377 20664 20732 20951 21016 21238 21361 21608 21882 21976 22311 23288 23643 23944 24309 24723 26199 26937 27306 28542 29176 29346 29748 31098 31524 31857 32412 32823 32964 33299 33768 34237 34706 34907 34932 35784 35916 36281 36408 36778 36792 36991 37512 37814 38033 38056 38458 38554 39128 40754 41464 41902 42476 42722 42813 43764 44019 44622 46647 47286 48618 49446 52059 52398 53874 54612 55167 56721 57084 57687 57831 58692 59496 61131 62196 62853 63048 63714 64083 64824 65646 65928 66598 68474 69412 69814 69864 71832 72562 73556 73982 75628 76066 76916 77108 81508 83804 84952 85444 85626 87528 88038 89244 93294 94572 95571 97236 98892 99897 101639 102711 104118 104721 104796 107707 107748 108843 109224 110334 110741 110973 113442 114099 114168 115374 115662 117384 122262 124392 125706 127428 128166 131292 133196 134939 136948 138824 139628 145124 147112 147964 149527 151256 152132 153832 154216 156177 163016 165501 167608 170163 170888 171252 173061 173493 176009 176076 178488 180967 183393 186588 188559 189144 191142 191771 192249 194472 195037 197784 199794 200531 203278 205422 208236 209442 209592 212503 215414 215496 217686 220668 221482 221946 226884 228198 230748 231324 244349 244524 251412 254856 256332 258937 262584 266231 266392 269878 273896 279256 290248 295928 299054 299691 304264 304917 308133 312354 314163 323121 326529 331002 332223 332919 340326 342297 342504 346122 346986 347261 352018 352152 361934 366786 373176 377118 382284 383542 384498 390074 399588 401062 404817 406556 410844 416472 418884 425006 430828 435372 441336 442964 443892 448581 453768 456396 461496 462648 488698 489048 502824 512664 517874 528027 532462 539756 542901 575313 585111 598108 599382 601593 609834 616266 624708 628326 637509 646242 653058 662004 664446 665838 680652 684594 692244 693972 694522 704036 711473 723868 733047 733572 753949 754236 764568 767084 768996 775187 776811 780148 790357 798693 799176 802124 809634 813112 821688 837768 850012 861656 870744 885928 887784 897162 912792 914751 969363 977396 996669 1035748 1041783 1056054 1064924 1079512 1085802 1150626 1170222 1196216 1198764 1203186 1214451 1219668 1232063 1232532 1249416 1256652 1266769 1275018 1291559 1292484 1306116 1324008 1328892 1331676 1342397 1345743 1361304 1365259 1368667 1369188 1384488 1387944 1389044 1403717 1407221 1408072 1422946 1431187 1447736 1466094 1467144 1487521 1507898 1508472 1516631 1534168 1537992 1550374 1553622 1559353 1560296 1580714 1584081 1597386 1604248 1619268 1628703 1700024 1725939 1755333 1794324 1804779 1829502 1912527 1938726 1954792 1993338 2071496 2083566 2112108 2129848 2134419 2171604 2199141 2261847 2301252 2325561 2330433 2340444 2371071 2396079 2397528 2406372 2428902 2430827 2439336 2464126 2465064 2478397 2513304 2533538 2548211 2550036 2583118 2584968 2612232 2657784 2663352 2684794 2691486 2700343 2730518 2737334 2738376 2778088 2807434 2814442 2845892 2862374 2932188 2975042 3015796 3033262 3100748 3107244 3118706 3125349 3161428 3168162 3194772 3238536 3257406 3451878 3510666 3588648 3609558 3659004 3696189 3800307 3825054 3874677 3877452 3986676 4027191 4095777 4106001 4167132 4211151 4221663 4224216 4268838 4293561 4343208 4398282 4462563 4523694 4549893 4602504 4651122 4660866 4678059 4680888 4742142 4792158 4812744 4857804 4861654 4928252 4956794 5067076 5096422 5100072 5166236 5369588 5382972 5400686 5461036 5474668 5532499 5614868 5628884 5691784 5724748 5864376 5950084 6031592 6066524 6201496 6214488 6237412 6250698 6322856 6336324 6389544 6403257 6514812 6785541 6903756 6976683 7021332 7113213 7216369 7219116 7292481 7318008 7392378 7419647 7435191 7600614 7644633 7650108 7749354 7754904 7862611 7973352 8054382 8101029 8191554 8212002 8334264 8422302 8443326 8537676 8587122 8796564 8925126 9040913 9047388 9099786 9302244 9321732 9356118 9484284 9580669 9584316 9715608 9723308 9850547 9856504 9913588 10018309 10134152 10192844 10332472 10616417 10739176 10765944 10801372 10915471 10922072 10949336 11064998 11088567 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32217528 32404116 32746413 32766216 32848008 33194994 33689208 33773304 34348488 34697558 35674954 35700504 36163652 36399144 37424472 37804802 38322676 38545971 39402188 40073236 42465668 42713103 43298214 43661884 43754886 44259992 44354268 44517882 44611146 45603684 45867798 46496124 47175666 48326292 48606174 49149324 49272012 49792491 50514583 50533812 50659956 51226056 51394628 51522732 51937529 52046337 52953919 53512431 53550756 54245478 54284328 54598716 55038277 55813464 56115347 56136708 56707203 56905704 56950804 57484014 57696061 57730952 58339848 59103282 59357176 59481528 60109854 61157064 62900888 63698502 64808232 64947321 65492826 66389988 66776823 69395116 70763499 71349908 72327304 75609604 76645352 77091942 78804376 80146472 81368217 84931336 85426206 86226021 86596428 87323768 87509772 88654923 88708536 89035764 89222292 89940599 90164781 91207368 91700689 91735596 92992248 94283807 94351332 95547753 96652584 97212348 98239239 98298648 98544024 99584982 99663907 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940289859 953170542 990688986 996426567 1010076246 1025114472 1038529098 1053589874 1079287188 1085537886 1100408268 1112032299 1131405684 1178422287 1195966884 1198952292 1211617281 1212349992 1219371324 1246500696 1249112088 1253719812 1266460867 1270894056 1283809646 1284298344 1319973298 1320918648 1328568756 1346768328 1360972872 1384705464 1398777674 1422599878 1447383848 1462673114 1482709732 1549996882 1571229716 1580384811 1615489708 1618930782 1628306829 1650612402 1697108526 1793950326 1798428438 1818524988 1829056986 1869751044 1880579718 1906341084 1925714469 1979959947 1981377972 1992853134 2020152492 2077058196 2098166511 2107179748 2133899817 2158574376 2171075772 2194009671 2200816536 2224064598 2262811368 2324995323 2356844574 2391933768 2397904584 2423234562 2438742648 2507439624 2532921734 2567619292 2639946596 2657137512 2797555348 2845199756 2925346228 2965419464 3099993764 3142459432 3160769622 3230979416 3237861564 3256613658 3301224804 3336096897 3394217052 3535266861 3587900652 3596856876 3634851843 3637049976 3658113972 3687564559 3739502088 3759728249 3761159436 3799382601 3812682168 3851428938 3865636087 3959919894 3962755944 3985706268 4040304984 4096420331 4154116392 4196333022 4214359496 4267799634 4342151544 4388019342 4448129196 4649990646 4713689148 4741154433 4846469124 5065843468 5135238584 5279893192 5595110696 5690399512 5777143407 5850692456 5939879841 6199987528 6294499533 6321539244 6401699451 6475723128 6513227316 6582029013 6602449608 6672193794 6694150297 6788434104 6974985969 7070533722 7175801304 7193713752 7269703686 7316227944 7375129118 7417842221 7519456498 7522318872 7598765202 7702857876 7731272174 7919839788 7971412536 8192840662 8392666044 8535599268 8776038684 8896258392 9299981292 9427378296 9482308866 9692938248 10131686936 11062693677 11279184747 11398147803 11554286814 11596908261 11879759682 12289260993 12588999066 12643078488 12803398902 13026454632 13164058026 13344387588 13388300594 13949971938 14141067444 14539407372 14750258236 14835684442 15038912996 15197530404 15405715752 15462544348 15839679576 16385681324 16785332088 17071198536 17552077368 18599962584 18964617732 20082450891 22125387354 22253526663 22558369494 22796295606 23108573628 23193816522 23759519364 24578521986 25177998132 25606797804 26318097743 26328116052 26688775176 26776601188 27059452609 27899943876 28282134888 28674942317 29078814744 29500516472 29671368884 30077825992 30395060808 30925088696 32771362648 33188081031 33837554241 34790724783 36867782979 37929235464 40164901782 44250774708 44507053326 45116738988 45592591212 46217147256 46387633044 46859052079 47519038728 49157043972 50355996264 51213595608 51924895547 52636195486 52656232104 53553202376 54118905218 55799887752 57349884634 59342737768 60247352673 66376162062 66760579989 67675108482 69581449566 73735565958 78954293229 80329803564 81178357827 86024826951 88501549416 89014106652 90233477976 91185182424 92775266088 93718104158 98314087944 103849791094 105272390972 108237810436 114699769268 120494705346 132752324124 133521159978 135350216964 139162899132 140577156237 147471131916 155774686641 157908586458 160659607128 162356715654 172049653902 178028213304 187436208316 207699582188 210544781944 216475620872 229399538536 236862879687 240989410692 243535073481 258074480853 265504648248 267042319956 270700433928 274460162177 278325798264 281154312474 294942263832 311549373282 315817172916 324713431308 344099307804 374872416632 415399164376 421731468711 467324059923 473725759374 481978821384 487070146962 516148961706 534084639912 548920324354 562308624948 623098746564 631634345832 649426862616 688198615608 823380486531 843462937422 934648119846 947451518748 974140293924 1032297923412 1097840648708 1124617249896 1246197493128 1646760973062 1686925874844 1869296239692 1894903037496 1921221135239 1948280587848 2064595846824 2195681297416 2470141459593 3293521946124 3373851749688 3738592479384 3842442270478 4940282919186 5763663405717 6587043892248 7684884540956 9880565838372 11527326811434 15369769081912 17290990217151 19761131676744 23054653622868 34581980434302 46109307245736 69163960868604 138327921737208
- Sum of all divisors σ(n): 470870103674880
- Sum of proper divisors (its aliquot sum) s(n): 332542181937672
- 138327921737208 is an abundant number, because the sum of its proper divisors (332542181937672) is greater than itself. Its abundance is 194214260200464
Bases of 138327921737208
- Binary: 111110111001110111110101010001100111101111110002
- Hexadecimal: 0x7DCEFAA33DF8
- Base-36: 1D16YX2XA0
Squares and roots of 138327921737208
- 138327921737208 squared (1383279217372082) is 19134613932135141512611635264
- 138327921737208 cubed (1383279217372083) is 2646851378476079684161846190708804553702912
-
The
square root of 138327921737208 is 11761289.1188512155 -
The
cube root of 138327921737208 is 51717.3921381345
Scales and comparisons
How big is 138327921737208?- 138,327,921,737,208 seconds is equal to 4,398,400 years, 1 week, 5 days, 16 hours, 46 minutes, 48 seconds.
-
To count from 1 to 138,327,921,737,208 would take you about ten million, nine hundred ninety-six thousand 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 138327921737208 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138327921737208
- 138327921737208 backwards is 802737129723831
- 138327921737208 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138327921737208's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138327921737208 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138327921737208 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138327921737208/
Chicago style:
Numbermatics. 2024. "Number 138327921737208 - Facts about the integer". https://numbermatics.com/n/138327921737208/
The information we have on file for 138327921737208 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 138327921737208, math, Factors of 138327921737208, curriculum, school, college, exams, university, Prime factorization of 138327921737208, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred twenty-seven billion, nine hundred twenty-one million, seven hundred thirty-seven thousand, two hundred eight.