138538832429088
138,538,832,429,088 is an even composite number composed of six prime numbers multiplied together.
138538832429088 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138538832429088:
25 × 33 × 7 × 13 × 176 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 17 × 17 × 17 × 17 × 17 × 17 × 73)See below for interesting mathematical facts about the number 138538832429088 from the Numbermatics database.
Names of 138538832429088
- Cardinal: 138538832429088 can be written as One hundred thirty-eight trillion, five hundred thirty-eight billion, eight hundred thirty-two million, four hundred twenty-nine thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.38538832429088 × 1014
Factors of 138538832429088
Divisors of 138538832429088
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 51 52 54 56 63 68 72 73 78 84 91 96 102 104 108 112 117 119 126 136 144 146 153 156 168 182 189 204 208 216 219 221 224 234 238 252 272 273 288 289 292 306 312 336 351 357 364 378 408 416 432 438 442 459 468 476 504 511 544 546 578 584 612 624 657 663 672 702 714 728 756 816 819 864 867 876 884 918 936 949 952 1008 1022 1071 1092 1156 1168 1224 1241 1248 1314 1326 1404 1428 1456 1512 1533 1547 1632 1638 1734 1752 1768 1836 1872 1898 1904 1971 1989 2016 2023 2044 2142 2184 2312 2336 2448 2457 2482 2601 2628 2652 2808 2847 2856 2912 3024 3066 3094 3213 3276 3468 3504 3536 3672 3723 3744 3757 3796 3808 3942 3978 4046 4088 4284 4368 4599 4624 4641 4896 4913 4914 4964 5202 5256 5304 5616 5694 5712 5967 6048 6069 6132 6188 6426 6552 6643 6936 7008 7072 7344 7446 7514 7592 7803 7884 7956 8092 8176 8541 8568 8687 8736 9198 9248 9282 9826 9828 9928 10404 10512 10608 11169 11232 11271 11388 11424 11934 12138 12264 12376 12852 13104 13286 13797 13872 13923 14688 14739 14892 15028 15184 15606 15768 15912 16133 16184 16352 17082 17136 17374 18207 18396 18564 19652 19656 19856 19929 20808 21024 21097 21216 22338 22542 22776 23868 24276 24528 24752 25623 25704 26061 26208 26299 26572 27594 27744 27846 29478 29784 30056 30368 31212 31536 31824 32266 32368 33507 33813 34164 34272 34391 34748 36414 36792 37128 39304 39312 39712 39858 41616 41769 42194 44217 44676 45084 45552 47736 48399 48552 49056 49504 51246 51408 52122 52598 53144 54621 55188 55692 58956 59568 59787 60112 62424 63072 63291 63648 63869 64532 64736 67014 67626 68328 68782 69496 72828 73584 74256 78183 78608 78624 78897 79716 83232 83521 83538 84388 88434 89352 90168 91104 95472 96798 97104 101439 102492 102816 103173 104244 105196 106288 109242 110376 111384 112931 117912 119136 119574 120224 124848 126582 127738 129064 132651 134028 135252 136656 137564 138992 145197 145656 147168 147679 148512 156366 157216 157794 159432 167042 167076 168776 176868 178704 179361 180336 189873 190944 191607 193596 194208 202878 204984 206346 208488 210392 212576 218484 220752 222768 225862 234549 235824 236691 239148 249696 250563 253164 255476 258128 265302 268056 270504 273312 274261 275128 277984 290394 291312 295358 309519 312732 315588 318864 334084 334152 337552 338793 353736 357408 358649 358722 360672 379746 383214 387192 405756 409968 412692 416976 420784 435591 436968 441504 443037 445536 447083 451724 469098 471648 473382 478296 501126 506328 510952 516256 530604 536112 541008 548522 550256 569619 574821 580788 582624 584647 590716 619038 625464 631176 637728 668168 668304 675104 677586 707472 710073 717298 717444 751689 759492 766428 774384 811512 819936 822783 825384 833952 841568 871182 873936 886074 894166 903448 928557 938196 946764 956592 1002252 1012656 1016379 1021904 1061208 1072224 1075947 1082016 1085773 1097044 1100512 1139238 1149642 1161576 1169294 1181432 1238076 1250928 1262352 1329111 1336336 1336608 1341249 1355172 1414944 1419857 1420146 1434596 1434888 1503378 1518984 1532856 1548768 1623024 1645566 1650768 1724463 1742364 1747872 1753941 1772148 1788332 1806896 1857114 1876392 1893528 1913184 1919827 2004504 2025312 2032758 2043808 2122416 2151894 2171546 2194088 2255067 2278476 2299284 2323152 2338588 2362864 2468349 2476152 2501856 2510543 2524704 2658222 2672672 2682498 2710344 2839714 2840292 2869192 2869776 3006756 3037968 3049137 3065712 3227841 3246048 3257319 3291132 3301536 3448926 3484728 3507882 3544296 3576664 3613792 3714228 3752784 3787056 3839654 3987333 4009008 4023747 4065516 4244832 4259571 4303788 4343092 4388176 4510134 4556952 4598568 4646304 4662437 4677176 4725728 4936698 4952304 5021086 5261823 5316444 5364996 5420688 5679428 5680584 5738384 5739552 5759481 6013512 6075936 6097033 6098274 6131424 6455682 6514638 6582264 6897852 6969456 7015764 7088592 7153328 7405047 7428456 7505568 7531629 7574112 7600411 7679308 7974666 8018016 8047494 8131032 8519142 8607576 8686184 8776352 9020268 9113904 9197136 9324874 9354352 9683523 9771957 9873396 9904608 9938999 10042172 10523646 10632888 10729992 10841376 11358856 11361168 11476768 11518962 12027024 12071241 12194066 12196548 12778713 12911364 13029276 13164528 13795704 13938912 13987311 14031528 14177184 14306656 14810094 14856912 15063258 15200822 15358616 15785469 15949332 16094988 16262064 17038284 17215152 17278443 17372368 18040536 18227808 18291099 18394272 18458141 18649748 18708704 19367046 19543914 19746792 19877998 20084344 21047292 21265776 21459984 22594887 22717712 22722336 22801233 23037924 24054048 24137569 24142482 24388132 24393096 25557426 25822728 26058552 26329056 27591408 27974622 28063056 29315871 29620188 29713824 29816997 30126516 30401644 30717232 31570938 31898664 32189976 32524128 32637059 34076568 34430304 34556886 34744736 36081072 36582198 36916282 37299496 38336139 38734092 39087828 39493584 39755996 40168688 41961933 42094584 42531552 42679231 42919968 45189774 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954143904 996739614 1007086392 1013777898 1024301544 1033655896 1044385888 1073411892 1084554576 1094459184 1109660006 1152339237 1158603312 1162862883 1174934124 1226756448 1243794732 1255153588 1268182864 1303428726 1316959128 1328986152 1342781856 1347444293 1351703864 1365735392 1426705722 1431215856 1451093854 1520666847 1536452316 1550483844 1566578832 1641688776 1658392976 1658730528 1664490009 1737904968 1755945504 1762042537 1762401186 1771981536 1865692098 1882730382 1902274296 1993479228 2014172784 2027555796 2048603088 2067311792 2140058583 2146823784 2169109152 2176640781 2188918368 2196518779 2219320012 2304678474 2317206624 2325725766 2349868248 2487589464 2510307176 2536365728 2606857452 2633918256 2657972304 2694888586 2703407728 2798538147 2824095573 2853411444 2862431712 2902187708 3041333694 3072904632 3100967688 3133157664 3283377552 3316785952 3328980018 3475809936 3488588649 3524085074 3524802372 3731384196 3765460764 3804548592 3986958456 4028345568 4042332879 4055111592 4097206176 4134623584 4280117166 4293647568 4353281562 4393037558 4438640024 4562000541 4609356948 4651451532 4699736496 4975178928 4993470027 5020614352 5213714904 5267836512 5286127611 5315944608 5389777172 5406815456 5597076294 5648191146 5706822888 5804375416 6082667388 6145809264 6201935376 6529922343 6566755104 6589556337 6657960036 6951619872 6977177298 7048170148 7049604744 7462768392 7530921528 7609097184 7973916912 8084665758 8110223184 8472286719 8560234332 8587295136 8706563124 8786075116 8877280048 9124001082 9218713896 9302903064 9399472992 9432110051 9950357856 9986940054 10041228704 10427429808 10572255222 10779554344 11194152588 11296382292 11413645776 11608750832 12126998637 12165334776 12291618528 12334297759 12403870752 13059844686 13179112674 13315920072 13954354596 14096340296 14099209488 14925536784 14980410081 15061843056 15858382833 15947833824 16169331516 16220446368 16944573438 17120468664 17413126248 17572150232 17754560096 18248002164 18437427792 18605806128 18864220102 19589767029 19768669011 19973880108 20854859616 21144510444 21559108688 22388305176 22592764584 22827291552 22906552981 23217501664 24253997274 24330669552 24668595518 26119689372 26358225348 26631840144 27908709192 28192680592 28198418976 28296330153 29851073568 29960820162 30123686112 31716765666 32338663032 33889146876 34240937328 34826252496 35144300464 36380995911 36496004328 36874855584 37002893277 37211612256 37728440204 39179534058 39537338022 39947760216 42289020888 43118217376 44776610352 45185529168 45813105962 47575148499 48507994548 48661339104 49337191036 52239378744 52716450696 53263680288 55817418384 56385361184 56592660306 59306007033 59921640324 63433531332 64677326064 67778293752 68481874656 68719658943 69652504992 70288600928 72761991822 72992008656 74005786554 75456880408 78359068116 79074676044 79895520432 84578041776 84888990459 89553220704 90371058336 91626211924 95150296998 97015989096 98674382072 104478757488 105432901392 111008679831 111634836768 113185320612 118612014066 119843280648 126867062664 129354652128 135556587504 137439317886 145523983644 145984017312 148011573108 150913760816 156718136232 158149352088 159791040864 160345870867 169156083552 169777980918 183252423848 190300593996 194031978192 197348764144 206158976829 208957514976 210865802784 222017359662 226370641224 237224028132 239686561296 253734125328 254666971377 271113175008 274878635772 291047967288 296023146216 301827521632 313436272464 316298704176 320691741734 333026039493 339555961836 366504847696 380601187992 388063956384 394697528288 412317953658 444034719324 452741282448 474448056264 479373122592 481037612601 507468250656 509333942754 549757271544 582095934576 592046292432 618476930487 626872544928 632597408352 641383483468 666052078986 679111923672 733009695392 761202375984 824635907316 888069438648 905482564896 948896112528 962075225202 1018667885508 1099514543088 1164191869152 1184092584864 1236953860974 1282766966936 1332104157972 1358223847344 1443112837803 1522404751968 1649271814632 1776138877296 1897792225056 1924150450404 2037335771016 2199029086176 2473907721948 2565533933872 2664208315944 2716447694688 2886225675606 3298543629264 3552277754592 3848300900808 4074671542032 4329338513409 4947815443896 5131067867744 5328416631888 5772451351212 6597087258528 7696601801616 8149343084064 8658677026818 9895630887792 10656833263776 11544902702424 15393203603232 17317354053636 19791261775584 23089805404848 34634708107272 46179610809696 69269416214544 138538832429088
- Sum of all divisors σ(n): 535639688881920
- Sum of proper divisors (its aliquot sum) s(n): 397100856452832
- 138538832429088 is an abundant number, because the sum of its proper divisors (397100856452832) is greater than itself. Its abundance is 258562024023744
Bases of 138538832429088
- Binary: 111111000000000000101011110010100000000001000002
- Hexadecimal: 0x7E0015E50020
- Base-36: 1D3VUZV0O0
Squares and roots of 138538832429088
- 138538832429088 squared (1385388324290882) is 19193008090814924874548511744
- 138538832429088 cubed (1385388324290883) is 2658976931703539075959291828922314815209472
-
The
square root of 138538832429088 is 11770252.0121316009 -
The
cube root of 138538832429088 is 51743.6635560191
Scales and comparisons
How big is 138538832429088?- 138,538,832,429,088 seconds is equal to 4,405,106 years, 17 weeks, 5 days, 16 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,538,832,429,088 would take you about eleven million, twelve thousand, seven hundred sixty-five 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 138538832429088 cubic inches would be around 4312 feet tall.
Recreational maths with 138538832429088
- 138538832429088 backwards is 880924238835831
- 138538832429088 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138538832429088's digits is 72
- More coming soon!
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MLA style:
"Number 138538832429088 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138538832429088 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138538832429088/
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The information we have on file for 138538832429088 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 138538832429088, math, Factors of 138538832429088, curriculum, school, college, exams, university, Prime factorization of 138538832429088, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-eight billion, eight hundred thirty-two million, four hundred twenty-nine thousand and eighty-eight.