137866045434138
137,866,045,434,138 is an even composite number composed of seven prime numbers multiplied together.
137866045434138 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137866045434138:
2 × 33 × 72 × 31 × 79 × 151 × 140897
(2 × 3 × 3 × 3 × 7 × 7 × 31 × 79 × 151 × 140897)See below for interesting mathematical facts about the number 137866045434138 from the Numbermatics database.
Names of 137866045434138
- Cardinal: 137866045434138 can be written as One hundred thirty-seven trillion, eight hundred sixty-six billion, forty-five million, four hundred thirty-four thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 1.37866045434138 × 1014
Factors of 137866045434138
Divisors of 137866045434138
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 79 93 98 126 147 151 158 186 189 217 237 279 294 302 378 434 441 453 474 553 558 651 711 837 882 906 1057 1106 1302 1323 1359 1422 1519 1659 1674 1953 2114 2133 2449 2646 2718 3038 3171 3318 3871 3906 4077 4266 4557 4681 4898 4977 5859 6342 7347 7399 7742 8154 9114 9362 9513 9954 11613 11718 11929 13671 14043 14694 14798 14931 17143 19026 22041 22197 23226 23858 27342 28086 28539 29862 32767 34286 34839 35787 41013 42129 44082 44394 51429 57078 65534 66123 66591 69678 71574 82026 83503 84258 98301 102858 104517 107361 120001 126387 132246 133182 140897 154287 167006 196602 199773 209034 214722 229369 240002 250509 252774 281794 294903 308574 322083 360003 369799 399546 422691 458738 462861 501018 584521 589806 644166 688107 720006 739598 751527 845382 884709 925722 986279 1080009 1109397 1169042 1268073 1376214 1503054 1753563 1769418 1972558 2064321 2160018 2218794 2254581 2536146 2588593 2958837 3240027 3328191 3507126 3804219 4128642 4367807 4509162 5177186 5260689 5917674 6192963 6480054 6656382 6903953 7608438 7765779 8735614 8876511 9984573 10521378 11130863 12385926 13103421 13807906 15531558 15782067 17753022 18120151 19969146 20711859 21275447 22261726 23297337 26206842 26629533 30574649 31564134 33392589 36240302 39310263 41423718 42550894 46594674 53259066 54360453 61149298 62135577 63826341 66785178 69892011 77916041 78620526 91723947 100177767 108720906 117930789 124271154 127652682 139784022 148928129 155832082 163081359 183447894 186406731 191479023 200355534 214022543 233748123 235861578 275171841 297856258 300533301 326162718 345056753 372813462 382958046 428045086 446784387 467496246 489244077 545412287 550343682 574437069 601066602 642067629 659538857 690113506 701244369 825515523 893568774 978488154 1035170259 1042496903 1090824574 1148874138 1284135258 1319077714 1340353161 1402488738 1636236861 1651031046 1680760313 1926202887 1978616571 2070340518 2084993806 2103733107 2415397271 2680706322 3105510777 3127490709 3272473722 3361520626 3852405774 3957233142 4021059483 4207466214 4616771999 4830794542 4908710583 5042280939 5778608661 5935849713 6211021554 6254981418 7246191813 8042118966 9233543998 9316532331 9382472127 9817421166 10084561878 11557217322 11765322191 11871699426 13850315997 14492383626 14726131749 15126842817 16907780897 17807549139 18633064662 18764944254 21738575439 23530644382 27700631994 28147416381 29452263498 30253685634 32317403993 33815561794 35295966573 35615098278 41550947991 43477150878 45380528451 50723342691 52103569703 56294832762 64634807986 65215726317 70591933146 82357255337 83101895982 90761056902 96952211979 101446685382 104207139406 105887899719 124652843973 130431452634 152170028073 156310709109 164714510674 193904423958 211775799438 247071766011 249305687946 290856635937 304340056146 312621418218 317663699157 364724987921 456510084219 468932127327 494143532022 581713271874 635327398314 729449975842 741215298033 872569907811 913020168438 937864254654 1094174963763 1406796381981 1482430596066 1745139815622 2188349927526 2223645894099 2553074915447 2813592763962 3282524891289 4447291788198 5106149830894 6565049782578 7659224746341 9847574673867 15318449492682 19695149347734 22977674239023 45955348478046 68933022717069 137866045434138
- Sum of all divisors σ(n): 375011411558400
- Sum of proper divisors (its aliquot sum) s(n): 237145366124262
- 137866045434138 is an abundant number, because the sum of its proper divisors (237145366124262) is greater than itself. Its abundance is 99279320690124
Bases of 137866045434138
- Binary: 111110101100011011100001010101000101001000110102
- Hexadecimal: 0x7D6370AA291A
- Base-36: 1CVASBUSYI
Squares and roots of 137866045434138
- 137866045434138 squared (1378660454341382) is 19007046483647803276895803044
- 137866045434138 cubed (1378660454341383) is 2620426334083360957041554261800231121916072
-
The
square root of 137866045434138 is 11741637.2552612099 -
The
cube root of 137866045434138 is 51659.7665740659
Scales and comparisons
How big is 137866045434138?- 137,866,045,434,138 seconds is equal to 4,383,713 years, 41 weeks, 3 days, 3 hours, 42 minutes, 18 seconds.
-
To count from 1 to 137,866,045,434,138 would take you about ten million, nine hundred fifty-nine thousand, two hundred eighty-four 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 137866045434138 cubic inches would be around 4305 feet tall.
Recreational maths with 137866045434138
- 137866045434138 backwards is 831434540668731
- 137866045434138 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137866045434138's digits is 63
- More coming soon!
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