138038810603760
138,038,810,603,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 138038810603760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 900 divisors.
138038810603760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 138038810603760:
24 × 34 × 5 × 112 × 67 × 16212
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 67 × 1621 × 1621)See below for interesting mathematical facts about the number 138038810603760 from the Numbermatics database.
Names of 138038810603760
- Cardinal: 138038810603760 can be written as One hundred thirty-eight trillion, thirty-eight billion, eight hundred ten million, six hundred three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3803881060376 × 1014
Factors of 138038810603760
Divisors of 138038810603760
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 67 72 80 81 88 90 99 108 110 120 121 132 134 135 144 162 165 176 180 198 201 216 220 240 242 264 268 270 297 324 330 335 360 363 396 402 405 432 440 484 495 528 536 540 594 603 605 648 660 670 720 726 737 792 804 810 880 891 968 990 1005 1072 1080 1089 1188 1206 1210 1296 1320 1340 1452 1474 1485 1584 1608 1620 1621 1782 1809 1815 1936 1980 2010 2160 2178 2211 2376 2412 2420 2640 2680 2904 2948 2970 3015 3216 3240 3242 3267 3564 3618 3630 3685 3960 4020 4356 4422 4455 4752 4824 4840 4863 5360 5427 5445 5808 5896 5940 6030 6480 6484 6534 6633 7128 7236 7260 7370 7920 8040 8105 8107 8712 8844 8910 9045 9648 9680 9726 9801 10854 10890 11055 11792 11880 12060 12968 13068 13266 14256 14472 14520 14589 14740 16080 16210 16214 16335 17424 17688 17820 17831 18090 19452 19602 19899 21708 21780 22110 23760 24120 24315 24321 25936 26136 26532 27135 28944 29040 29178 29480 32420 32428 32670 33165 35376 35640 35662 36180 38904 39204 39798 40535 43416 43560 43767 44220 48240 48630 48642 49005 52272 53064 53493 54270 58356 58960 59697 64840 64856 65340 66330 71280 71324 72360 72945 72963 77808 78408 79596 81070 86832 87120 87534 88440 89155 97260 97284 98010 99495 106128 106986 108540 108607 116712 119394 121605 129680 129712 130680 131301 132660 142648 144720 145890 145926 156816 159192 160479 162140 175068 176880 178310 194520 194568 196020 196141 198990 213972 217080 217214 218835 218889 233424 238788 243210 261360 262602 265320 267465 285296 291780 291852 298485 318384 320958 324280 325821 350136 356620 364815 389040 389136 392040 392282 397980 427944 434160 434428 437670 437778 477576 481437 486420 525204 530640 534930 543035 583560 583704 588423 596970 641916 648560 651642 656505 656667 700272 713240 729630 784080 784564 795960 802395 855888 868856 875340 875556 955152 962874 972840 977463 980705 1050408 1069860 1086070 1094445 1167120 1167408 1176846 1193940 1194677 1283832 1303284 1313010 1313334 1426480 1444311 1459260 1569128 1591920 1604790 1629105 1737712 1750680 1751112 1765269 1925748 1945680 1954926 1961410 2100816 2139720 2172140 2188890 2353692 2387880 2389354 2407185 2567664 2606568 2626020 2626668 2627641 2888622 2918520 2932389 2942115 3138256 3209580 3258210 3283335 3501360 3502224 3530538 3584031 3851496 3909852 3922820 4279440 4344280 4377780 4707384 4775760 4778708 4814370 4887315 5213136 5252040 5253336 5255282 5295807 5777244 5837040 5864778 5884230 5973385 6419160 6516420 6566670 7061076 7168062 7221555 7702992 7819704 7845640 7882923 8688560 8755560 8797167 8826345 9414768 9557416 9628740 9774630 10504080 10506672 10510564 10591614 10752093 11554488 11729556 11768460 11946770 12838320 13032840 13133340 13138205 13141447 14122152 14336124 14443110 14661945 15639408 15691280 15765846 15887421 17511120 17594334 17652690 17920155 19114832 19257480 19549260 21021128 21183228 21504186 23108976 23459112 23536920 23648769 23893540 26065680 26266680 26276410 26282894 26479035 28244304 28672248 28886220 28904051 29323890 31531692 31774842 32256279 35188668 35305380 35840310 38514960 39098520 39414615 39424341 42042256 42366456 43008372 43985835 46918224 47073840 47297538 47787080 52533360 52552820 52565788 52958070 53760465 57344496 57772440 57808102 58647780 63063384 63549684 64512558 65707235 70377336 70610760 70946307 71680620 78197040 78829230 78848682 79437105 84732912 86016744 86712153 87971670 94595076 95574160 96768837 105105640 105131576 105916140 107520930 115544880 115616204 117295560 118243845 118273023 126126768 127099368 129025116 131414470 140754672 141221520 141892614 143361240 144520255 157658460 157697364 158874210 161281395 172033488 173424306 175943340 176051947 189190152 193537674 197121705 210211280 210263152 211832280 212838921 215041860 231232408 234591120 236487690 236546046 254198736 258050232 260136459 262828940 283785228 286722480 289040510 315316920 315394728 317748420 317944561 322562790 346848612 351886680 352103894 354731535 354819069 378380304 387075348 394243410 423664560 425677842 430083720 433560765 462464816 472975380 473092092 483844185 516100464 520272918 525657880 528155841 567570456 578081020 591365115 630633840 630789456 635496840 635889122 645125580 693697224 703773360 704207788 709463070 709638138 774150696 780409377 788486820 851355684 860167440 867121530 880259735 945950760 946184184 953833683 967688370 1040545836 1051315760 1056311682 1064194605 1064457207 1135140912 1156162040 1182730230 1270993680 1271778244 1290251160 1300682295 1387394448 1408415576 1418926140 1419276276 1548301392 1560818754 1576973640 1584467523 1589722805 1702711368 1734243060 1760519470 1774095345 1891901520 1892368368 1907667366 1935376740 1936571417 2081091672 2112623364 2128389210 2128914414 2312324080 2341228131 2365460460 2543556488 2580502320 2601364590 2640779205 2816831152 2837852280 2838552552 2861501049 3121637508 3153947280 3168935046 3179445610 3405422736 3468486120 3521038940 3548190690 3815334732 3870753480 3873142834 3902046885 4162183344 4225246728 4256778420 4257828828 4682456262 4730920920 4753402569 4769168415 5087112976 5202729180 5281558410 5322286035 5675704560 5677105104 5723002098 5809714251 6243275016 6337870092 6358891220 6936972240 7042077880 7096381380 7630669464 7741506960 7746285668 7804093770 7922337615 8450493456 8513556840 8515657656 8584503147 9364912524 9461841840 9506805138 9538336830 9682857085 10405458360 10563116820 10644572070 11446004196 11619428502 11706140655 12486550032 12675740184 12717782440 14084155760 14192762760 14260207707 14307505245 15261338928 15492571336 15608187540 15844675230 17027113680 17031315312 17169006294 17429142753 18729825048 19013610276 19076673660 19365714170 20810916720 21126233640 21289144140 21302285587 22892008392 23238857004 23412281310 23767012845 25351480368 25435564880 25753509441 28385525520 28520415414 28615010490 29048571255 30985142672 31216375080 31689350460 34338012588 34858285506 37459650096 38027220552 38153347320 38731428340 42252467280 42578288280 42604571174 42922515735 45784016784 46477714008 46824562620 47534025690 51507018882 52287428259 57040830828 57230020980 58097142510 62432750160 63378700920 63906856761 68676025176 69716571012 71301038535 76054441104 76306694640 77462856680 85156576560 85209142348 85845031470 87145713765 92955428016 93649125240 95068051380 103014037764 104574856518 106511427935 114081661656 114460041960 116194285020 126757401840 127813713522 128767547205 137352050352 139433142024 142602077070 154925713360 156862284777 170418284696 171690062940 174291427530 187298250480 190136102760 191720570283 206028075528 209149713036 213022855870 228163323312 228920083920 232388570040 255627427044 257535094410 261437141295 278866284048 285204154140 313724569554 319534283805 340836569392 343380125880 348582855060 380272205520 383441140566 412056151056 418299426072 426045711740 464777140080 511254854088 515070188820 522874282590 570408308280 575161710849 627449139108 639068567610 686760251760 697165710120 766882281132 784311423885 836598852144 852091423480 958602851415 1022509708176 1030140377640 1045748565180 1140816616560 1150323421698 1254898278216 1278137135220 1394331420240 1533764562264 1568622847770 1704182846960 1725485132547 1917205702830 2060280755280 2091497130360 2300646843396 2509796556432 2556274270440 2875808554245 3067529124528 3137245695540 3450970265094 3834411405660 4182994260720 4601293686792 5112548540880 5751617108490 6274491391080 6901940530188 7668822811320 8627425662735 9202587373584 11503234216980 12548982782160 13803881060376 15337645622640 17254851325470 23006468433960 27607762120752 34509702650940 46012936867920 69019405301880 138038810603760
- Sum of all divisors σ(n): 535171402197432
- Sum of proper divisors (its aliquot sum) s(n): 397132591593672
- 138038810603760 is an abundant number, because the sum of its proper divisors (397132591593672) is greater than itself. Its abundance is 259093780989912
Bases of 138038810603760
- Binary: 111110110001011101010100100010101110000111100002
- Hexadecimal: 0x7D8BAA4570F0
- Base-36: 1CXI5JRZ00
Squares and roots of 138038810603760
- 138038810603760 squared (1380388106037602) is 19054713232900724215726137600
- 138038810603760 cubed (1380388106037603) is 2630289951065342480373160572687068837376000
-
The
square root of 138038810603760 is 11748991.8973399585 -
The
cube root of 138038810603760 is 51681.3365040445
Scales and comparisons
How big is 138038810603760?- 138,038,810,603,760 seconds is equal to 4,389,207 years, 10 weeks, 1 day, 36 minutes.
-
To count from 1 to 138,038,810,603,760 would take you about ten million, nine hundred seventy-three thousand and seventeen 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 138038810603760 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138038810603760
- 138038810603760 backwards is 067306018830831
- 138038810603760 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138038810603760's digits is 54
- More coming soon!
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The information we have on file for 138038810603760 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!
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