138137964357120
138,137,964,357,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138137964357120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138137964357120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138137964357120:
29 × 3 × 5 × 7 × 132 × 29 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 29 × 524287)See below for interesting mathematical facts about the number 138137964357120 from the Numbermatics database.
Names of 138137964357120
- Cardinal: 138137964357120 can be written as One hundred thirty-eight trillion, one hundred thirty-seven billion, nine hundred sixty-four million, three hundred fifty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3813796435712 × 1014
Factors of 138137964357120
Divisors of 138137964357120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 29 30 32 35 39 40 42 48 52 56 58 60 64 65 70 78 80 84 87 91 96 104 105 112 116 120 128 130 140 145 156 160 168 169 174 182 192 195 203 208 210 224 232 240 256 260 273 280 290 312 320 336 338 348 364 377 384 390 406 416 420 435 448 455 464 480 507 512 520 546 560 580 609 624 640 672 676 696 728 754 768 780 812 832 840 845 870 896 910 928 960 1014 1015 1040 1092 1120 1131 1160 1183 1218 1248 1280 1344 1352 1365 1392 1456 1508 1536 1560 1624 1664 1680 1690 1740 1792 1820 1856 1885 1920 2028 2030 2080 2184 2240 2262 2320 2366 2436 2496 2535 2560 2639 2688 2704 2730 2784 2912 3016 3045 3120 3248 3328 3360 3380 3480 3549 3584 3640 3712 3770 3840 4056 4060 4160 4368 4480 4524 4640 4732 4872 4901 4992 5070 5278 5376 5408 5460 5568 5655 5824 5915 6032 6090 6240 6496 6656 6720 6760 6960 7098 7280 7424 7540 7680 7917 8112 8120 8320 8736 8960 9048 9280 9464 9744 9802 9984 10140 10556 10752 10816 10920 11136 11310 11648 11830 12064 12180 12480 12992 13195 13440 13520 13920 14196 14560 14703 14848 15080 15834 16224 16240 16640 17472 17745 17920 18096 18560 18928 19488 19604 19968 20280 21112 21632 21840 22272 22620 23296 23660 24128 24360 24505 24960 25984 26390 26880 27040 27840 28392 29120 29406 30160 31668 32448 32480 33280 34307 34944 35490 36192 37120 37856 38976 39208 39585 40560 42224 43264 43680 44544 45240 46592 47320 48256 48720 49010 49920 51968 52780 53760 54080 55680 56784 58240 58812 60320 63336 64896 64960 68614 69888 70980 72384 73515 74240 75712 77952 78416 79170 81120 84448 86528 87360 90480 94640 96512 97440 98020 99840 102921 103936 105560 108160 111360 113568 116480 117624 120640 126672 129792 129920 137228 139776 141960 144768 147030 151424 155904 156832 158340 162240 168896 171535 174720 180960 189280 193024 194880 196040 205842 211120 216320 222720 227136 232960 235248 241280 253344 259584 259840 274456 283920 289536 294060 302848 311808 313664 316680 324480 337792 343070 349440 361920 378560 389760 392080 411684 422240 432640 454272 470496 482560 506688 514605 519680 524287 548912 567840 579072 588120 605696 627328 633360 648960 675584 686140 698880 723840 757120 779520 784160 823368 844480 908544 940992 965120 1013376 1029210 1048574 1097824 1135680 1176240 1254656 1266720 1297920 1351168 1372280 1447680 1514240 1559040 1568320 1572861 1646736 1688960 1817088 1881984 2026752 2058420 2097148 2195648 2271360 2352480 2509312 2533440 2621435 2744560 2895360 3028480 3136640 3145722 3293472 3377920 3670009 3763968 4053504 4116840 4194296 4391296 4542720 4704960 5066880 5242870 5489120 6273280 6291444 6586944 6755840 6815731 7340018 7527936 7864305 8233680 8388592 8782592 9085440 9409920 10133760 10485740 10978240 11010027 12546560 12582888 13173888 13631462 14680036 15204323 15728610 16467360 16777184 17565184 18350045 18819840 20267520 20447193 20971480 21956480 22020054 25165776 26347776 27262924 29360072 30408646 31457220 32934720 33554368 34078655 36700090 37639680 40894386 41942960 43912960 44040108 45612969 47710117 50331552 52695552 54525848 55050135 58720144 60817292 62914440 65869440 67108736 68157310 73400180 76021615 81788772 83885920 87825920 88080216 88604503 91225938 95420234 100663104 102235965 106430261 109051696 110100270 117440288 121634584 125828880 131738880 134217472 136314620 143130351 146800360 152043230 163577544 167771840 176160432 177209006 182451876 190840468 197656199 201326208 204471930 212860522 218103392 220200540 228064845 234880576 238550585 243269168 251657760 263477760 265813509 268434944 272629240 286260702 293600720 304086460 319290783 327155088 335543680 352320864 354418012 364903752 381680936 395312398 402652416 408943860 425721044 436206784 440401080 443022515 456129690 469761152 477101170 486538336 503315520 531627018 532151305 545258480 572521404 587201440 592968597 608172920 620231521 638581566 654310176 671087360 704641728 708836024 715651755 729807504 763361872 790624796 805304832 817887720 851442088 872413568 880802160 886045030 912259380 939522304 954202340 973076672 988280995 1006631040 1063254036 1064302610 1090516960 1145042808 1174402880 1185937194 1216345840 1240463042 1277163132 1308620352 1329067545 1342174720 1383593393 1409283456 1417672048 1431303510 1459615008 1526723744 1581249592 1596453915 1635775440 1702884176 1744827136 1761604320 1772090060 1824518760 1860694563 1879044608 1908404680 1946153344 1976561990 2013262080 2126508072 2128605220 2181033920 2290085616 2348805760 2371874388 2432691680 2480926084 2554326264 2569530587 2617240704 2658135090 2767186786 2818566912 2835344096 2862607020 2919230016 2964842985 3053447488 3101157605 3162499184 3192907830 3271550880 3405768352 3489654272 3523208640 3544180120 3649037520 3721389126 3816809360 3892306688 3953123980 4026524160 4150780179 4253016144 4257210440 4362067840 4580171232 4697611520 4743748776 4865383360 4961852168 5108652528 5139061174 5234481408 5316270180 5534373572 5637133824 5670688192 5725214040 5838460032 5929685970 6106894976 6202315210 6324998368 6385815660 6543101760 6811536704 6917966965 7046417280 7088360240 7298075040 7442778252 7633618720 7708591761 7784613376 7906247960 8301560358 8506032288 8514420880 8724135680 9160342464 9303472815 9395223040 9487497552 9730766720 9923704336 10217305056 10278122348 10468962816 10632540360 11068747144 11341376384 11450428080 11676920064 11859371940 12213789952 12404630420 12649996736 12771631320 12847652935 13086203520 13623073408 13835933930 14092834560 14176720480 14596150080 14885556504 15267237440 15417183522 15812495920 16603120716 17012064576 17028841760 17448271360 17986714109 18320684928 18606945630 18974995104 19461533440 19847408672 20434610112 20556244696 20753900895 21265080720 22137494288 22682752768 22900856160 23353840128 23718743880 24427579904 24809260840 25299993472 25543262640 25695305870 26172407040 27246146816 27671867860 28185669120 28353440960 29192300160 29771113008 30534474880 30834367044 31624991840 33206241432 34024129152 34057683520 35973428218 36641369856 37213891260 37949990208 38542958805 38923066880 39694817344 40869220224 41112489392 41507801790 42530161440 44274988576 45365505536 45801712320 47437487760 49618521680 50599986944 51086525280 51390611740 52344814080 53960142327 54492293632 55343735720 56706881920 58384600320 59542226016 61068949760 61668734088 63249983680 66412482864 68048258304 68115367040 71946856436 73282739712 74427782520 75899980416 77085917610 79389634688 81738440448 82224978784 83015603580 85060322880 88549977152 89933570545 91603424640 94874975520 99237043360 101199973888 102173050560 102781223480 107920284654 110687471440 113413763840 116769200640 119084452032 122137899520 123337468176 126499967360 132824965728 136096516608 136230734080 143893712872 148855565040 151799960832 154171835220 158779269376 163476880896 164449957568 166031207160 170120645760 177099954304 179867141090 183206849280 189749951040 198474086720 204346101120 205562446960 215840569308 221374942880 226827527680 238168904064 246674936352 252999934720 265649931456 269800711635 272461468160 287787425744 297711130080 303599921664 308343670440 317558538752 328899915136 332062414320 340241291520 354199908608 359734282180 366413698560 379499902080 396948173440 408692202240 411124893920 431681138616 442749885760 476337808128 493349872704 505999869440 531299862912 539601423270 575574851488 595422260160 616687340880 657799830272 664124828640 680482583040 708399817216 719468564360 758999804160 793896346880 817384404480 822249787840 863362277232 885499771520 952675616256 986699745408 1062599725824 1079202846540 1151149702976 1190844520320 1233374681760 1315599660544 1328249657280 1438937128720 1517999608320 1587792693760 1644499575680 1726724554464 1770999543040 1973399490816 2125199451648 2158405693080 2302299405952 2381689040640 2466749363520 2656499314560 2877874257440 3288999151360 3453449108928 3541999086080 3946798981632 4316811386160 4604598811904 4763378081280 4933498727040 5312998629120 5755748514880 6577998302720 6906898217856 8633622772320 9209197623808 9866997454080 10625997258240 11511497029760 13813796435712 17267245544640 19733994908160 23022994059520 27627592871424 34534491089280 46045988119040 69068982178560 138137964357120
- Sum of all divisors σ(n): 565352249425920
- Sum of proper divisors (its aliquot sum) s(n): 427214285068800
- 138137964357120 is an abundant number, because the sum of its proper divisors (427214285068800) is greater than itself. Its abundance is 289076320711680
Bases of 138137964357120
- Binary: 111110110100010110000000100101110100110000000002
- Hexadecimal: 0x7DA2C04BA600
- Base-36: 1CYRPDD0QO
Squares and roots of 138137964357120
- 138137964357120 squared (1381379643571202) is 19082097196728955534894694400
- 138137964357120 cubed (1381379643571203) is 2635962062420843928332728639439794864128000
-
The
square root of 138137964357120 is 11753210.8105453465 -
The
cube root of 138137964357120 is 51693.7078364311
Scales and comparisons
How big is 138137964357120?- 138,137,964,357,120 seconds is equal to 4,392,359 years, 50 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 138,137,964,357,120 would take you about ten million, nine hundred eighty thousand, eight hundred ninety-nine 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 138137964357120 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138137964357120
- 138137964357120 backwards is 021753469731831
- 138137964357120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138137964357120's digits is 60
- More coming soon!
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The information we have on file for 138137964357120 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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