138384341053326459
138,384,341,053,326,459 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138384341053326459 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138384341053326459 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138384341053326459:
35 × 72 × 132 × 173 × 2413
(3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 241 × 241 × 241)See below for interesting mathematical facts about the number 138384341053326459 from the Numbermatics database.
Names of 138384341053326459
- Cardinal: 138384341053326459 can be written as One hundred thirty-eight quadrillion, three hundred eighty-four trillion, three hundred forty-one billion, fifty-three million, three hundred twenty-six thousand, four hundred fifty-nine.
Scientific notation
- Scientific notation: 1.38384341053326459 × 1017
Factors of 138384341053326459
Divisors of 138384341053326459
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 7 9 13 17 21 27 39 49 51 63 81 91 117 119 147 153 169 189 221 241 243 273 289 351 357 441 459 507 567 637 663 723 819 833 867 1053 1071 1183 1323 1377 1521 1547 1687 1701 1911 1989 2023 2169 2457 2499 2601 2873 3133 3159 3213 3549 3757 3969 4097 4131 4563 4641 4913 5061 5733 5967 6069 6507 7371 7497 7803 8281 8619 9399 9639 10647 10829 11271 11809 11907 12291 13689 13923 14161 14739 15183 17199 17901 18207 19521 20111 21931 22113 22491 23409 24843 25857 26299 28197 28679 28917 31941 32487 33813 34391 35427 36873 40729 41067 41769 42483 44217 45549 48841 51597 53261 53703 54621 58081 58563 60333 63869 65793 67473 69649 70227 74529 77571 78897 84591 86037 95823 97461 101439 103173 106281 110619 122187 125307 127449 132651 136647 140777 146523 153517 154791 159783 163863 174243 180999 184093 191607 197379 200753 202419 208947 223587 232713 236691 240737 253773 258111 285103 287469 292383 304317 309519 318843 331857 341887 366561 372827 375921 382347 397953 406567 409941 422331 439569 447083 460551 479349 487543 491589 522729 542997 552279 574821 592137 602259 626841 670761 692393 698139 710073 722211 755053 761319 774333 830297 855309 877149 905437 912951 928557 956529 987377 995571 1025661 1099683 1118481 1147041 1184033 1193859 1219701 1266993 1318707 1341249 1381653 1438047 1462629 1568187 1628991 1656837 1724463 1776411 1806777 1880523 1995721 2012283 2077179 2130219 2166633 2265159 2322999 2393209 2490891 2565927 2609789 2631447 2716311 2785671 2845969 2869587 2962131 3076983 3129581 3299049 3355443 3412801 3441123 3552099 3659103 3800979 3956121 4023747 4144959 4314141 4387887 4704561 4846751 4886973 4970511 5173389 5285371 5329233 5420331 5641569 5812079 5987163 6231537 6338059 6390657 6499899 6795477 6911639 6968997 7179627 7472673 7697781 7829367 8148933 8288231 8357013 8537907 8886393 9230949 9388743 9815689 9897147 10066329 10238403 10656297 10977309 11402937 11770681 11868363 12071241 12434877 12835901 12942423 13163661 13997521 14113683 14540253 14911533 15392429 15520167 15856113 16260993 16785409 16924707 17436237 17961489 18694611 19014177 19499697 20386431 20734917 21538881 22418019 23093343 23488101 24446799 24864693 25613721 26659179 27692847 28166229 29447067 30198987 30715209 31968891 32931927 33927257 34208811 35312043 36213723 36997597 37304631 38507703 39490983 40684553 41992563 43620759 44366413 44734599 46177287 47568339 48381473 48782979 50356227 52308711 53884467 56083833 57042531 58017617 58499091 61159293 62204751 64616643 67254057 68709823 69280029 70464303 73340397 74594079 76841163 79977537 82394767 83078541 84498687 88341201 89851307 90596961 92145627 95906673 97982647 98795781 101781771 105936129 107747003 108641169 110992791 115523109 117497863 118472949 122053659 125977689 130862277 133099239 138531861 142705017 145144419 151068681 156926133 161653401 166866713 168251499 171127593 174052851 181967773 183477879 186614253 193849929 200101577 201762171 206129469 211392909 218210317 220021191 223782237 230523489 237957857 239932611 247184301 253496061 265023603 269553921 276436881 285351953 287720019 293947941 305345313 317808387 323241009 332978373 346569327 352493589 366160977 377933067 392586831 399297717 415595583 428115051 435433257 453206043 470778399 480968761 484960203 500600139 513382779 522158553 545903319 559842759 576763369 581549787 600304731 618388407 628959149 634178727 654630951 671346711 685878529 691570467 713873571 741552903 754229021 760488183 795070809 808661763 822485041 829310643 856055859 881843823 916035939 953425161 969723027 998935119 1039707981 1057480767 1098482931 1133799201 1168066991 1177760493 1197893151 1246786749 1273774411 1284345153 1306299771 1359618129 1400711039 1412335197 1442906283 1501800417 1527472219 1540148337 1566475659 1637709957 1665704999 1679528277 1730290107 1800914193 1855165221 1886877447 1963892853 1997463671 2014040133 2057635587 2141620713 2224658709 2262687063 2365581049 2385212427 2425985289 2467455123 2568167577 2645531469 2748107817 2836734121 2860275483 2909169081 2996805357 3093452141 3119123943 3172442301 3295448793 3401397603 3504200973 3593679453 3709575389 3740360247 3821323233 3918899313 4045283569 4078854387 4202133117 4328718849 4505401251 4582416657 4699426977 4913129871 4997114997 5190870321 5402742579 5565495663 5660632341 5891678559 5992391013 6172906761 6424862139 6673976127 6788061189 7096743147 7277955867 7402365369 7704502731 7936594407 8176468937 8244323451 8510202363 8727507243 8916420877 8990416071 9280356423 9517326903 9804977273 9886346379 10512602919 10692305533 10781038359 11128726167 11463969699 11659934993 11756697939 12135850707 12606399351 12986156547 13516203753 13747249971 13982245697 14098280931 14739389613 14991344991 15572610963 16208227737 16559067343 16696486989 16981897023 17675035677 17977173039 18518720283 19274586417 19857138847 20021928381 20364183567 21290229441 21654164987 21833867601 22207096107 23113508193 23809783221 24529406811 25530607089 25967027723 26182521729 26749262631 27841069269 28316984983 28551980709 29414931819 31537808757 32076916599 33386178501 34391909097 34979804979 36407552121 37819198053 38958469641 40214877833 40548611259 41241749913 41946737091 44218168839 44974034973 46717832889 48224480057 48624683211 49677202029 50945691069 52588686397 53025107031 53931519117 55556160849 57823759251 59571416541 61092550701 63870688323 64962494961 66621288321 68769820673 69340524579 73588220433 76591821267 77901083169 80247787893 83523207807 84950954949 88244795457 94613426271 96230749797 100158535503 103175727291 104939414937 109222656363 113457594159 115913471401 116875408923 120644633499 123725249739 125840211273 134922104919 138999971929 140153498667 144673440171 149031606087 151579154909 152837073207 157766059191 161794557351 166668482547 178714249623 181769194061 183277652103 191612064969 194887484883 198218894881 199863864963 206309462019 220764661299 229775463801 233703249507 240743363679 250569623421 254852864847 264734386371 281504144831 283840278813 288692249391 300475606509 309527181873 314818244811 327667969089 337571360399 340372782477 347740414203 361933900497 368120804779 371175749217 377520633819 404766314757 416999915787 434020320513 447094818261 454737464727 473298177573 481388744711 485383672053 536142748869 545307582183 574836194907 584662454649 594656684643 618928386057 662293983897 683652923161 689326391403 701109748521 722230091037 751708870263 764558594541 794203159113 844512434493 866076748173 894007668749 901426819527 944454734433 983003907267 1012714081197 1043221242609 1085801701491 1104362414337 1132561901457 1250999747361 1302060961539 1341284454783 1364212394181 1419894532719 1444166234133 1608428246607 1635922746549 1753987363947 1783970053929 1856785158171 1970529013817 1986881951691 2050958769483 2103329245563 2166690273111 2293675783623 2362999522793 2382609477339 2533537303479 2576845633453 2598230244519 2682023006247 2833364203299 3038142243591 3129663727827 3257405104473 3313087243011 3369721212977 3397685704371 3752999242083 3906182884617 4023853364349 4092637182543 4259683598157 4332498702399 4785570462127 4825284739821 4907768239647 5261962091841 5351910161787 5570355474513 5911587041451 6152876308449 6258053681243 6309987736689 6881027350869 7088998568379 7600611910437 7730536900359 8046069018741 9114426730773 9388991183481 9772215313419 9939261729033 10109163638931 11258997726249 11622099693737 11718548653851 12277911547629 12779050794471 12997496107197 14356711386381 14723304718941 16055730485361 16711066423539 17734761124353 18458628925347 18774161043729 21266995705137 22801835731311 23191610701077 24138207056223 27343280192319 28166973550443 29817785187099 30327490916793 33498993234889 33776993178747 34866299081211 36833734642887 38992488321591 43070134159143 43806375768701 44169914156823 48167191456083 53204283373059 55375886776041 56322483131187 63800987115411 68405507193933 69574832103231 72414621168669 81354697856159 82029840576957 89453355561297 90982472750379 100496979704667 104598897243633 116977464964773 129210402477429 131419127306103 159612850119177 166127660328123 168967449393561 191402961346233 208724496309693 217243863506007 244064093568477 272947418251137 301490939114001 313796691730899 387631207432287 394257381918309 478838550357531 506902348180683 569482884993113 574208884038699 626173488929079 732192280705431 818842254753411 904472817342003 941390075192697 1162893622296861 1182772145754927 1520707044542049 1708448654979339 2196576842116293 2713418452026009 2824170225578091 3548316437264781 5125345964938017 6589730526348879 8140255356078027 10644949311794343 15376037894814051 19769191579046637 46128113684442153 138384341053326459
- Sum of all divisors σ(n): 278583095972301120
- Sum of proper divisors (its aliquot sum) s(n): 140198754918974661
- 138384341053326459 is an abundant number, because the sum of its proper divisors (140198754918974661) is greater than itself. Its abundance is 1814413865648202
Bases of 138384341053326459
- Binary: 1111010111010001111010011001100101111010111000100011110112
- Hexadecimal: 0x1EBA3D332F5C47B
- Base-36: 11UL5KN9CGOR
Squares and roots of 138384341053326459
- 138384341053326459 squared (1383843410533264592) is 19150225848763374776000749229478681
- 138384341053326459 cubed (1383843410533264593) is 2650091385103499016877706603321703181489297473720579
-
The
square root of 138384341053326459 is 372000458.4047262421 -
The
cube root of 138384341053326459 is 517244.2244517613
Scales and comparisons
How big is 138384341053326459?- 138,384,341,053,326,459 seconds is equal to 4,400,193,994 years, 32 weeks, 3 days, 3 hours, 7 minutes, 39 seconds.
-
To count from 1 to 138,384,341,053,326,459 would take you about thirteen billion, two hundred million, five hundred eighty-one thousand, nine hundred eighty-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 138384341053326459 cubic inches would be around 43103.7 feet tall.
Recreational maths with 138384341053326459
- 138384341053326459 backwards is 954623350143483831
- The number of decimal digits it has is: 18
- The sum of 138384341053326459's digits is 72
- More coming soon!
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The information we have on file for 138384341053326459 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 138384341053326459, math, Factors of 138384341053326459, curriculum, school, college, exams, university, Prime factorization of 138384341053326459, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-four trillion, three hundred forty-one billion, fifty-three million, three hundred twenty-six thousand, four hundred fifty-nine.