138540629891664
138,540,629,891,664 is an even composite number composed of eight prime numbers multiplied together.
138540629891664 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138540629891664:
24 × 33 × 7 × 11 × 13 × 283 × 421 × 2689
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 283 × 421 × 2689)See below for interesting mathematical facts about the number 138540629891664 from the Numbermatics database.
Names of 138540629891664
- Cardinal: 138540629891664 can be written as One hundred thirty-eight trillion, five hundred forty billion, six hundred twenty-nine million, eight hundred ninety-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38540629891664 × 1014
Factors of 138540629891664
Divisors of 138540629891664
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 52 54 56 63 66 72 77 78 84 88 91 99 104 108 112 117 126 132 143 144 154 156 168 176 182 189 198 208 216 231 234 252 264 273 283 286 297 308 312 336 351 364 378 396 421 429 432 462 468 504 528 546 566 572 594 616 624 693 702 728 756 792 819 842 849 858 924 936 1001 1008 1092 1132 1144 1188 1232 1263 1287 1386 1404 1456 1512 1584 1638 1684 1698 1716 1848 1872 1981 2002 2079 2184 2264 2288 2376 2457 2526 2547 2574 2689 2772 2808 2947 3003 3024 3113 3276 3368 3396 3432 3679 3696 3789 3861 3962 4004 4158 4368 4528 4631 4752 4914 5052 5094 5148 5378 5473 5544 5616 5894 5943 6006 6226 6552 6736 6792 6864 7358 7578 7641 7722 7924 8008 8067 8316 8841 9009 9262 9339 9828 10104 10188 10296 10756 10946 11037 11088 11367 11788 11886 12012 12452 13104 13584 13893 14716 15156 15282 15444 15848 16016 16134 16419 16632 17682 17829 18018 18524 18678 18823 19656 20208 20376 20592 21512 21791 21892 22074 22734 23576 23772 24024 24201 24904 25753 26523 27027 27786 28017 29432 29579 30312 30564 30888 31696 32268 32417 32838 33111 33264 34957 35364 35658 36036 37048 37356 37646 38311 39312 40469 40752 41679 43024 43582 43784 44148 45468 47152 47544 48048 48402 49257 49808 51506 53046 53487 54054 55572 56034 56469 58864 59158 60203 60624 61128 61776 64536 64834 65373 65676 66222 69914 70728 71316 72072 72603 74096 74712 75292 76622 77259 79569 80938 83358 84051 87164 87568 88296 88737 90936 95088 96804 97251 98514 99333 103012 104871 106092 106974 108108 111144 112068 112938 114933 118316 119143 120406 121407 122256 125037 129072 129668 130746 131352 132444 139828 141456 142632 144144 145206 147771 149424 150584 153244 154518 159138 161876 166716 168102 169407 174328 176592 177474 180609 181872 193608 194502 196119 197028 198666 206024 207053 209742 212184 213948 216216 222288 224136 225876 229866 231777 236632 238286 240812 242814 244699 250074 259336 261492 262704 264888 266211 279656 283283 285264 290412 291753 295542 301168 306488 309036 314613 318276 323752 333432 336204 338814 344799 348656 354948 357429 361218 364221 384527 387216 389004 392238 394056 397332 412048 414106 419484 421421 424368 427896 432432 448272 451752 459732 463554 473264 476572 481624 485628 489398 500148 508221 518672 522984 529776 532422 541827 559312 566566 580824 583506 588357 591084 612976 618072 621159 629226 636552 647504 666864 672408 677628 689598 695331 709896 714858 722436 728442 734097 760987 769054 778008 784476 788112 794664 798633 828212 834001 838968 842842 849849 855792 875259 903504 919464 927108 943839 953144 963248 971256 978796 1000296 1016442 1034397 1045968 1064844 1072287 1083654 1092663 1132069 1133132 1153581 1161648 1167012 1176714 1182168 1236144 1242318 1258452 1264263 1273104 1310573 1344816 1355256 1379196 1390662 1419792 1429716 1444872 1456884 1468194 1521974 1538108 1548859 1556016 1568952 1589328 1597266 1625481 1656424 1668002 1677936 1685684 1699698 1750518 1838928 1854216 1863477 1887678 1906288 1942512 1957592 2000592 2032884 2068794 2129688 2144574 2167308 2185326 2202291 2264138 2266264 2282961 2307162 2334024 2353428 2364336 2484636 2502003 2516904 2528526 2549547 2621146 2691689 2710512 2758392 2781324 2859432 2889744 2913768 2936388 3043948 3076216 3097718 3137904 3194532 3216861 3250962 3312848 3336004 3371368 3396207 3399396 3460743 3501036 3708432 3726954 3775356 3792789 3915184 3931719 4065768 4137588 4259376 4289148 4334616 4370652 4404582 4528276 4532528 4565922 4614324 4646577 4668048 4706856 4969272 5004006 5033808 5057052 5099094 5242292 5326909 5383378 5516784 5562648 5590431 5718864 5827536 5872776 6087896 6152432 6195436 6389064 6433722 6501924 6606873 6672008 6742736 6792414 6798792 6848883 6921486 7002072 7453908 7506009 7550712 7585578 7648641 7863438 7924483 8075067 8131536 8275176 8370857 8578296 8669232 8741304 8809164 9056552 9131844 9174011 9228648 9293154 9413712 9892831 9938544 10008012 10114104 10188621 10198188 10382229 10484584 10653818 10766756 10842013 11125296 11180862 11378367 11745552 11795157 12175792 12390872 12452759 12778128 12867444 13003848 13213746 13344016 13584828 13597584 13697766 13842972 13939731 14004144 14716897 14907816 15012018 15101424 15171156 15297282 15726876 15848966 15980727 16150134 16550352 16741714 17037449 17156592 17482608 17618328 18113104 18263688 18348022 18457296 18586308 19785662 20016024 20228208 20377242 20396376 20546649 20764458 20969168 21307636 21533512 21684026 22361724 22518027 22756734 23590314 23773449 24225201 24781744 24905518 25112571 25734888 26007696 26427492 27169656 27395532 27522033 27685944 27879462 29433794 29678493 29815632 30024036 30342312 30565863 30594564 31453752 31697932 31961454 32300268 32526039 33483428 34074898 35236656 35385471 36527376 36696044 37172616 37358277 39571324 40032048 40754484 40792752 41093298 41528916 41819193 42615272 43067024 43368052 44150691 44723448 45036054 45513468 47180628 47546898 47942181 48450402 49811036 50225142 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25313471568 25760622888 26911544268 27196825656 27422927532 28193046376 29154172957 29915920944 30596428863 31717177173 33319054808 34600556916 34967347272 35882059024 36563903376 37483936659 37657143216 40367316402 40795238484 41134391298 42289569564 44503896528 45813700361 46134075888 47010732912 49337831158 49978582212 51521245776 53823088536 54393651312 54845855064 56386092752 58308345914 60550974603 61192857726 63434354346 66638109616 69201113832 69934694544 74006746737 74967873318 80734632804 81590476968 82268782596 84579139128 87462518871 91627400722 95151531519 98675662316 99957164424 107646177072 109691710128 112451809977 116616691828 121101949206 122385715452 126868708692 137441101083 138402227664 148013493474 149935746636 161469265608 163180953936 164537565192 169158278256 174925037742 183254801444 190303063038 197351324632 199914328848 222020240211 224903619954 233233383656 242203898412 244771430904 253737417384 262387556613 274882202166 296026986948 299871493272 320695902527 322938531216 329075130384 349850075484 366509602888 380606126076 394702649264 412323303249 444040480422 449807239908 466466767312 484407796824 489542861808 507474834768 524775113226 549764404332 592053973896 599742986544 641391805054 666060720633 699700150968 733019205776 761212252152 787162669839 824646606498 888080960844 899614479816 962087707581 968815593648 1049550226452 1099528808664 1184107947792 1236969909747 1282783610108 1332121441266 1399400301936 1522424504304 1574325339678 1649293212996 1776161921688 1799228959632 1924175415162 2099100452904 2199057617328 2473939819494 2565567220216 2664242882532 2886263122743 3148650679356 3298586425992 3552323843376 3848350830324 4198200905808 4947879638988 5131134440432 5328485765064 5772526245486 6297301358712 6597172851984 7696701660648 8658789368229 9895759277976 10656971530128 11545052490972 12594602717424 15393403321296 17317578736458 19791518555952 23090104981944 34635157472916 46180209963888 69270314945832 138540629891664
- Sum of all divisors σ(n): 537284144947200
- Sum of proper divisors (its aliquot sum) s(n): 398743515055536
- 138540629891664 is an abundant number, because the sum of its proper divisors (398743515055536) is greater than itself. Its abundance is 260202885163872
Bases of 138540629891664
- Binary: 111111000000000100000010000100000011010010100002
- Hexadecimal: 0x7E0081081A50
- Base-36: 1D3WOQ0VO0
Squares and roots of 138540629891664
- 138540629891664 squared (1385406298916642) is 19193506130779024628376688896
- 138540629891664 cubed (1385406298916643) is 2659080429187640782616745944826027511762944
-
The
square root of 138540629891664 is 11770328.3680475117 -
The
cube root of 138540629891664 is 51743.8873365887
Scales and comparisons
How big is 138540629891664?- 138,540,629,891,664 seconds is equal to 4,405,163 years, 25 weeks, 5 days, 15 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,540,629,891,664 would take you about eleven million, twelve thousand, nine hundred eight 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 138540629891664 cubic inches would be around 4312 feet tall.
Recreational maths with 138540629891664
- 138540629891664 backwards is 466198926045831
- 138540629891664 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138540629891664's digits is 72
- More coming soon!
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"Number 138540629891664 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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The information we have on file for 138540629891664 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 138540629891664, math, Factors of 138540629891664, curriculum, school, college, exams, university, Prime factorization of 138540629891664, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred forty billion, six hundred twenty-nine million, eight hundred ninety-one thousand, six hundred sixty-four.