138159723389688
138,159,723,389,688 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138159723389688 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138159723389688 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138159723389688:
23 × 32 × 7 × 11 × 132 × 41 × 43 × 83641
(2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 13 × 41 × 43 × 83641)See below for interesting mathematical facts about the number 138159723389688 from the Numbermatics database.
Names of 138159723389688
- Cardinal: 138159723389688 can be written as One hundred thirty-eight trillion, one hundred fifty-nine billion, seven hundred twenty-three million, three hundred eighty-nine thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38159723389688 × 1014
Factors of 138159723389688
Divisors of 138159723389688
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 18 21 22 24 26 28 33 36 39 41 42 43 44 52 56 63 66 72 77 78 82 84 86 88 91 99 104 117 123 126 129 132 143 154 156 164 168 169 172 182 198 231 234 246 252 258 264 273 286 287 301 308 312 328 338 344 364 369 387 396 429 451 462 468 473 492 504 507 516 533 546 559 572 574 602 616 676 693 728 738 774 792 819 858 861 902 903 924 936 946 984 1001 1014 1032 1066 1092 1118 1144 1148 1183 1204 1287 1352 1353 1386 1419 1476 1521 1548 1599 1638 1677 1716 1722 1763 1804 1806 1848 1859 1892 2002 2028 2132 2184 2236 2296 2366 2408 2574 2583 2706 2709 2772 2838 2952 3003 3042 3096 3157 3198 3276 3311 3354 3432 3444 3526 3549 3608 3612 3718 3731 3784 3913 4004 4056 4059 4257 4264 4472 4732 4797 5031 5148 5166 5289 5412 5418 5544 5577 5676 5863 6006 6084 6149 6314 6396 6552 6622 6708 6888 6929 7052 7098 7224 7267 7436 7462 7826 8008 8118 8514 9009 9464 9471 9594 9933 10062 10296 10332 10578 10647 10824 10836 11154 11193 11352 11726 11739 12012 12168 12298 12341 12628 12792 13013 13244 13416 13858 14104 14196 14534 14872 14924 15652 15867 16236 16731 17028 17589 18018 18447 18942 19188 19393 19866 20124 20664 20787 21156 21294 21672 21801 22308 22386 22919 23452 23478 24024 24596 24682 25256 26026 26488 27716 28392 28413 29068 29799 29848 31304 31734 32472 33462 33579 34056 35178 35217 36036 36894 37023 37884 38376 38786 39039 39732 40248 41041 41574 42312 42588 43043 43602 44616 44772 45838 46904 46956 48503 49192 49364 50869 52052 52767 55341 55432 56826 58136 58179 59598 62361 63468 65403 66924 67158 68757 70356 70434 72072 73788 74046 75768 76219 77572 78078 79464 79937 82082 83148 83641 85176 86086 87204 89544 91676 93912 97006 98728 101738 104104 105534 110682 111069 113652 116358 117117 119196 123123 124722 126936 129129 130806 133848 134316 135751 137514 140712 140868 145509 147576 148092 152438 152607 155144 156156 159874 160433 164164 166296 167282 172172 174408 174537 183352 194012 203476 206271 211068 221364 222138 227304 228657 232716 234234 238392 239811 246246 249444 250923 252109 258258 261612 268632 271502 275028 281736 291018 296184 297947 304876 305214 312312 319748 320866 328328 334564 344344 349074 369369 387387 388024 406952 407253 412542 422136 436527 442728 444276 457314 457821 465432 468468 479622 481299 492492 498888 501846 504218 516516 523224 533533 543004 550056 559559 582036 585487 595894 609752 610428 639496 641732 669128 685971 698148 719433 738738 752769 756327 774774 814506 825084 873054 888552 893841 914628 915642 920051 936936 959244 962598 984984 1003692 1008436 1033032 1067066 1086008 1087333 1119118 1164072 1170974 1191788 1220856 1221759 1283464 1371942 1396296 1438866 1443897 1477476 1505538 1512654 1549548 1600599 1629012 1650168 1678677 1746108 1756461 1764763 1787682 1829256 1831284 1840102 1918488 1925196 2007384 2016872 2085629 2134132 2174666 2238236 2268981 2341948 2383576 2443518 2681523 2743884 2760153 2877732 2887794 2954952 3011076 3025308 3099096 3201198 3258024 3261999 3277417 3357354 3429281 3492216 3512922 3529526 3575364 3596563 3662568 3680204 3850392 4171258 4268264 4349332 4476472 4537962 4683896 4801797 4887036 5036031 5269383 5294289 5363046 5487768 5520306 5755464 5775588 6022152 6050616 6256887 6402396 6440357 6523998 6554834 6714708 6858562 7025844 7059052 7150728 7193126 7360408 7611331 8280459 8342516 8698664 9075924 9603594 9774072 9785997 9832251 10072062 10287843 10538766 10588578 10726092 10789689 11040612 11551176 11960663 12513774 12804792 12880714 13047996 13109668 13429416 13717124 14051688 14118104 14135329 14386252 15222662 15882867 16560918 16685032 18151848 18770661 19207188 19321071 19571994 19664502 20144124 20575686 21077532 21177156 21452184 21579378 22081224 22833993 22941919 23921326 24004967 25027548 25175941 25761428 26095992 26219336 27434248 28270658 28772504 29496753 30445324 30863529 31765734 32369067 33121836 35881989 37541322 37722091 38414376 38642142 39143988 39329004 39562193 40288248 41151372 42155064 42354312 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51000267032 51056808348 53488084936 53675106212 57375300411 58393796868 60174095553 61788785058 63259946607 64802872134 68126096346 69010850844 73023109614 74319377832 74761755081 76500400548 76585212522 78366263976 80232127404 80512659318 82385046744 84346595476 86403829512 89250467306 90834795128 93604148638 97364146152 99682340108 102113616696 102189144519 107350212424 114750600822 116787593736 120348191106 120768988977 123577570116 126519893214 129605744268 133875700959 136252192692 138021701688 140406222957 146046219228 147606542083 149523510162 153000801096 153170425044 160464254808 161025318636 168693190952 174444095189 178500934612 187208297276 189779839821 199364680216 204378289038 224285265243 229501201644 240696382212 241537977954 247155140232 253039786428 259211488536 267751401918 272504385384 274126435297 280812445914 292092438456 295213084166 299047020324 306340850088 322050637272 348888190378 357001869224 374416594552 379559679642 401627102877 408756578076 421218668871 442819626249 448570530486 459002403288 481392764424 483075955908 506079572856 523332285567 535502803836 548252870594 561624891828 590426168332 598094040648 697776380756 759119359284 803254205754 817513156152 822379305891 842437337742 885639252498 897141060972 966151911816 1046664571134 1071005607672 1096505741188 1123249783656 1180852336664 1328458878747 1395552761512 1518238718568 1569996856701 1606508411508 1644758611782 1684874675484 1771278504996 1794282121944 1918885047079 2093329142268 2193011482376 2467137917673 2656917757494 3139993713402 3213016823016 3289517223564 3369749350968 3542557009992 3837770094158 4186658284536 4934275835346 5313835514988 5756655141237 6279987426804 6579034447128 7675540188316 9868551670692 10627671029976 11513310282474 12559974853608 15351080376632 17269965423711 19737103341384 23026620564948 34539930847422 46053241129896 69079861694844 138159723389688
- Sum of all divisors σ(n): 529521148316160
- Sum of proper divisors (its aliquot sum) s(n): 391361424926472
- 138159723389688 is an abundant number, because the sum of its proper divisors (391361424926472) is greater than itself. Its abundance is 253201701536784
Bases of 138159723389688
- Binary: 111110110100111110100010011110000100010111110002
- Hexadecimal: 0x7DA7D13C22F8
- Base-36: 1CZ1P84LQ0
Squares and roots of 138159723389688
- 138159723389688 squared (1381597233896882) is 19088109167115101424704737344
- 138159723389688 cubed (1381597233896883) is 2637207882560790207068861512225135398108672
-
The
square root of 138159723389688 is 11754136.4374286553 -
The
cube root of 138159723389688 is 51696.4219008913
Scales and comparisons
How big is 138159723389688?- 138,159,723,389,688 seconds is equal to 4,393,051 years, 44 weeks, 13 hours, 34 minutes, 48 seconds.
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To count from 1 to 138,159,723,389,688 would take you about ten million, nine hundred eighty-two thousand, six hundred twenty-nine 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 138159723389688 cubic inches would be around 4308 feet tall.
Recreational maths with 138159723389688
- 138159723389688 backwards is 886983327951831
- The number of decimal digits it has is: 15
- The sum of 138159723389688's digits is 81
- More coming soon!
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The information we have on file for 138159723389688 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 138159723389688, math, Factors of 138159723389688, curriculum, school, college, exams, university, Prime factorization of 138159723389688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred fifty-nine billion, seven hundred twenty-three million, three hundred eighty-nine thousand, six hundred eighty-eight.