138744830551680
138,744,830,551,680 is an even composite number composed of six prime numbers multiplied together.
138744830551680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138744830551680:
27 × 33 × 5 × 19 × 612 × 3372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 61 × 61 × 337 × 337)See below for interesting mathematical facts about the number 138744830551680 from the Numbermatics database.
Names of 138744830551680
- Cardinal: 138744830551680 can be written as One hundred thirty-eight trillion, seven hundred forty-four billion, eight hundred thirty million, five hundred fifty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3874483055168 × 1014
Factors of 138744830551680
Divisors of 138744830551680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 61 64 72 76 80 90 95 96 108 114 120 122 128 135 144 152 160 171 180 183 190 192 216 228 240 244 270 285 288 304 305 320 337 342 360 366 380 384 432 456 480 488 513 540 549 570 576 608 610 640 674 684 720 732 760 855 864 912 915 960 976 1011 1026 1080 1098 1140 1152 1159 1216 1220 1348 1368 1440 1464 1520 1647 1685 1710 1728 1824 1830 1920 1952 2022 2052 2160 2196 2280 2318 2432 2440 2565 2696 2736 2745 2880 2928 3033 3040 3294 3370 3420 3456 3477 3648 3660 3721 3904 4044 4104 4320 4392 4560 4636 4880 5055 5130 5392 5472 5490 5760 5795 5856 6066 6080 6403 6588 6740 6840 6954 7296 7320 7442 7808 8088 8208 8235 8640 8784 9099 9120 9272 9760 10110 10260 10431 10784 10944 10980 11163 11590 11712 12132 12160 12806 13176 13480 13680 13908 14640 14884 15165 16176 16416 16470 17280 17385 17568 18198 18240 18544 18605 19209 19520 20220 20520 20557 20862 21568 21888 21960 22326 23180 23424 24264 25612 26352 26960 27360 27816 29280 29768 30330 31293 32015 32352 32832 32940 33489 34770 35136 36396 36480 37088 37210 38418 39040 40440 41040 41114 41724 43136 43920 44652 45495 46360 48528 51224 52155 52704 53920 54720 55632 55815 57627 58560 59536 60660 61671 62586 64030 64704 65664 65880 66978 69540 70272 70699 72792 74176 74420 76836 80880 82080 82228 83448 87840 89304 90990 92720 96045 97056 100467 102448 102785 104310 105408 107840 109440 111264 111630 113569 115254 117120 119072 121320 123342 125172 128060 129408 131760 133956 139080 141398 145584 148352 148840 153672 156465 161760 164160 164456 166896 167445 172881 175680 178608 181980 185013 185440 192090 194112 200934 204896 205570 208620 210816 212097 215680 222528 223260 227138 230508 238144 242640 246684 250344 256120 263520 267912 278160 282796 288135 291168 297680 307344 308355 312930 323520 328320 328912 333792 334890 340707 345762 351360 353495 357216 363960 370026 370880 384180 388224 390583 401868 409792 411140 417240 424194 445056 446520 454276 461016 476288 485280 493368 500688 502335 512240 527040 535824 555039 556320 565592 567845 576270 582336 595360 614688 616710 625860 636291 647040 657824 667584 669780 681414 691524 706990 714432 727920 740052 741760 768360 781166 803736 819584 822280 834480 848388 864405 893040 908552 922032 925065 970560 986736 1001376 1004670 1022121 1024480 1054080 1060485 1071648 1110078 1112640 1131184 1135690 1152540 1164672 1171749 1190720 1229376 1233420 1251720 1253977 1272582 1315648 1335168 1339560 1362828 1383048 1413980 1428864 1455840 1480104 1536720 1562332 1607472 1644560 1668960 1696776 1703535 1728810 1786080 1817104 1844064 1850130 1908873 1941120 1952915 1973472 2002752 2009340 2044242 2048960 2120970 2143296 2157811 2220156 2225280 2262368 2271380 2305080 2343498 2381440 2458752 2466840 2503440 2507954 2545164 2631296 2679120 2725656 2766096 2775195 2827960 2911680 2960208 3066363 3073440 3124664 3181455 3214944 3289120 3337920 3393552 3407070 3457620 3515247 3572160 3634208 3688128 3700260 3761931 3817746 3905830 3946944 4005504 4018680 4088484 4097920 4241940 4286592 4315622 4440312 4524736 4542760 4610160 4686996 4933680 5006880 5015908 5090328 5110605 5358240 5451312 5532192 5550390 5655920 5823360 5858745 5920416 6132726 6146880 6249328 6269885 6362910 6429888 6473433 6578240 6675840 6787104 6814140 6915240 6927709 7030494 7144320 7268416 7376256 7400520 7523862 7635492 7811660 7893888 8037360 8176968 8483880 8631244 8880624 9049472 9085520 9220320 9373992 9544365 9867360 10013760 10031816 10180656 10221210 10545741 10716480 10789055 10902624 11064384 11100780 11285793 11311840 11717490 11840832 12265452 12293760 12498656 12539770 12725820 12859776 12946866 13156480 13574208 13628280 13830480 13855418 14060988 14536832 14801040 15047724 15270984 15331815 15623320 16074720 16353936 16967760 17262488 17576235 17761248 18171040 18440640 18747984 18809655 19088730 19420299 19734720 20027520 20063632 20361312 20442420 20783127 21091482 21432960 21578110 21805248 22128768 22201560 22571586 22623680 23434980 23681664 23825563 24530904 24997312 25079540 25451640 25893732 27148416 27256560 27660960 27710836 28121976 29602080 30095448 30541968 30663630 31246640 32149440 32367165 32707872 33857379 33935520 34524976 34638545 35152470 35522496 36342080 36881280 37495968 37619310 38177460 38840598 39469440 40127264 40722624 40884840 41566254 42182964 43156220 43610496 44403120 45143172 45247360 46869960 47651126 49061808 49994624 50159080 50903280 51787464 52728705 54513120 55321920 55421672 56243952 56428965 58260897 59204160 60190896 61083936 61327260 62349381 62493280 64298880 64734330 65415744 67714758 67871040 69049952 69277090 70304940 71044992 71476689 72684160 74991936 75238620 76354920 77681196 80254528 81445248 81769680 83132508 84365928 86312440 88806240 90286344 93739920 95302252 97101495 98123616 100318160 101806560 103574928 103915635 105457410 109026240 110643840 110843344 112487904 112857930 116521794 118408320 119127815 120381792 122167872 122654520 124698762 124986560 129468660 130831488 131626471 135429516 135742080 138099904 138554180 140609880 142953378 149983872 150477240 152709840 155362392 160509056 163539360 166265016 168731856 169286895 172624880 177612480 180572688 187048143 187479840 190604504 194202990 196247232 200636320 203613120 207149856 207831270 210914820 214430067 218052480 221686688 224975808 225715860 233043588 238255630 240763584 244335744 245309040 249397524 249973120 258937320 263252942 270859032 276199808 277108360 281219760 285906756 291304485 300954480 305419680 310724784 311746905 327078720 332530032 337463712 338573790 345249760 355224960 357383445 361145376 374096286 374959680 381209008 388405980 392494464 394879413 401272640 407226240 414299712 415662540 421829640 422590249 428860134 443373376 449951616 451431720 466087176 476511260 481527168 490618080 498795048 517874640 526505884 541718064 554216720 562439520 571813512 582608970 601908960 610839360 621449568 623493810 643290201 654157440 658132355 665060064 674927424 677147580 690499520 714766890 722290752 748192572 749919360 762418016 776811960 789758826 802545280 828599424 831325080 843659280 845180498 857720268 886746752 902863440 932174352 935240715 953022520 981236160 997590096 1035749280 1053011768 1072150335 1083436128 1108433440 1124879040 1143627024 1165217940 1184638239 1203817920 1221678720 1242899136 1246987620 1267770747 1286580402 1316264710 1330120128 1349854848 1354295160 1380999040 1429533780 1444581504 1496385144 1524836032 1553623920 1579517652 1662650160 1687318560 1690360996 1715440536 1805726880 1864348704 1870481430 1906045040 1962472320 1974397065 1995180192 2071498560 2106023536 2112951245 2144300670 2166872256 2216866880 2249758080 2287254048 2330435880 2369276478 2407635840 2485798272 2493975240 2535541494 2573160804 2632529420 2660240256 2708590320 2859067560 2992770288 3049672064 3107247840 3159035304 3216451005 3325300320 3374637120 3380721992 3430881072 3553914717 3611453760 3728697408 3740962860 3803312241 3812090080 3948794130 3990360384 4142997120 4212047072 4225902490 4288601340 4333744512 4433733760 4574508096 4660871760 4738552956 4987950480 5071082988 5146321608 5265058840 5417180640 5718135120 5923191195 5985540576 6214495680 6318070608 6338853735 6432902010 6650600640 6749274240 6761443984 6861762144 7107829434 7222907520 7457394816 7481925720 7606624482 7624180160 7897588260 7980720768 8029214731 8424094144 8451804980 8577202680 9149016192 9321743520 9477105912 9975900960 10142165976 10292643216 10530117680 10834361280 11409936723 11436270240 11846382390 11971081152 12428991360 12636141216 12677707470 12865804020 13301201280 13522887968 13723524288 14215658868 14963851440 15213248964 15248360320 15795176520 16058429462 16848188288 16903609960 17154405360 17769573585 18643487040 18954211824 19016561205 19951801920 20284331952 20585286432 21060235360 21668722560 22819873446 22872540480 23692764780 23942162304 24087644193 25272282432 25355414940 25731608040 27045775936 27447048576 28431317736 29927702880 30426497928 31590353040 32116858924 33807219920 34308810720 35539147170 37286974080 37908423648 38033122410 39903603840 40146073655 40568663904 41170572864 42120470720 45639746892 45745080960 47385529560 48175288386 50544564864 50710829880 51463216080 54091551872 56862635472 57049683615 59855405760 60852995856 63180706080 64233717848 67614439840 68617621440 71078294340 72262932579 75816847296 76066244820 80292147310 81137327808 82341145728 84240941440 91279493784 94771059120 96350576772 101421659760 102926432160 113725270944 114099367230 119710811520 120438220965 121705991712 126361412160 128467435696 135228879680 137235242880 142156588680 144525865158 151633694592 152132489640 160584294620 162274655616 182558987568 189542118240 192701153544 202843319520 205852864320 216788797737 227450541888 228198734460 240876441930 243411983424 252722824320 256934871392 270457759360 284313177360 289051730316 304264979280 321168589240 361314662895 365117975136 379084236480 385402307088 405686639040 411705728640 433577595474 454901083776 456397468920 481752883860 486823966848 513869742784 568626354720 578103460632 608529958560 642337178480 722629325790 730235950272 758168472960 770804614176 811373278080 867155190948 912794937840 963505767720 1027739485568 1083943988685 1137252709440 1156206921264 1217059917120 1284674356960 1445258651580 1460471900544 1541609228352 1734310381896 1825589875680 1927011535440 2167887977370 2274505418880 2312413842528 2434119834240 2569348713920 2890517303160 3083218456704 3468620763792 3651179751360 3854023070880 4335775954740 4624827685056 5138697427840 5781034606320 6937241527584 7302359502720 7708046141760 8671551909480 9249655370112 11562069212640 13874483055168 15416092283520 17343103818960 23124138425280 27748966110336 34686207637920 46248276850560 69372415275840 138744830551680
- Sum of all divisors σ(n): 527434061544000
- Sum of proper divisors (its aliquot sum) s(n): 388689230992320
- 138744830551680 is an abundant number, because the sum of its proper divisors (388689230992320) is greater than itself. Its abundance is 249944400440640
Bases of 138744830551680
- Binary: 111111000110000000011000101011011100110100000002
- Hexadecimal: 0x7E300C56E680
- Base-36: 1D6IHTTPC0
Squares and roots of 138744830551680
- 138744830551680 squared (1387448305516802) is 19250128004814395933150822400
- 138744830551680 cubed (1387448305516803) is 2670855748126123162993708166648837701632000
-
The
square root of 138744830551680 is 11778999.5564852621 -
The
cube root of 138744830551680 is 51769.2973286259
Scales and comparisons
How big is 138744830551680?- 138,744,830,551,680 seconds is equal to 4,411,656 years, 23 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 138,744,830,551,680 would take you about eleven million, twenty-nine thousand, one hundred forty-one 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 138744830551680 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138744830551680
- 138744830551680 backwards is 086155038447831
- The number of decimal digits it has is: 15
- The sum of 138744830551680's digits is 63
- More coming soon!
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The information we have on file for 138744830551680 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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