138238956564800
138,238,956,564,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138238956564800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138238956564800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138238956564800:
26 × 52 × 72 × 13 × 29 × 571 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 29 × 571 × 8191)See below for interesting mathematical facts about the number 138238956564800 from the Numbermatics database.
Names of 138238956564800
- Cardinal: 138238956564800 can be written as One hundred thirty-eight trillion, two hundred thirty-eight billion, nine hundred fifty-six million, five hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382389565648 × 1014
Factors of 138238956564800
Divisors of 138238956564800
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 64 65 70 80 91 98 100 104 112 116 130 140 145 160 175 182 196 200 203 208 224 232 245 260 280 290 320 325 350 364 377 392 400 406 416 448 455 464 490 520 560 571 580 637 650 700 725 728 754 784 800 812 832 910 928 980 1015 1040 1120 1142 1160 1225 1274 1300 1400 1421 1450 1456 1508 1568 1600 1624 1820 1856 1885 1960 2030 2080 2240 2275 2284 2320 2450 2548 2600 2639 2800 2842 2855 2900 2912 3016 3136 3185 3248 3640 3770 3920 3997 4060 4160 4550 4568 4640 4900 5075 5096 5200 5278 5600 5684 5710 5800 5824 6032 6370 6496 7105 7280 7423 7540 7840 7994 8120 8191 9100 9136 9280 9425 9800 10150 10192 10400 10556 11200 11368 11420 11600 12064 12740 12992 13195 14210 14275 14560 14846 15080 15680 15925 15988 16240 16382 16559 18200 18272 18473 18850 19600 19985 20300 20384 20800 21112 22736 22840 23200 24128 25480 26390 27979 28420 28550 29120 29692 30160 31850 31976 32480 32764 33118 35525 36400 36544 36946 37115 37700 39200 39970 40600 40768 40955 42224 45472 45680 46400 50960 51961 52780 55958 56840 57100 57337 59384 60320 63700 63952 64960 65528 65975 66236 71050 72800 73892 74230 75400 78400 79940 81200 81910 82795 84448 90944 91360 92365 99925 101920 103922 105560 106483 111916 113680 114200 114674 115913 118768 120640 127400 127904 131056 131950 132472 139895 142100 145600 147784 148460 150800 159880 162400 163820 165590 168896 182720 184730 185575 199850 203840 204775 207844 211120 212966 215267 223832 227360 228400 229348 231826 237536 237539 254800 255808 259805 262112 263900 264944 279790 284200 286685 295568 296920 301600 319760 324800 327640 331180 363727 369460 371150 399700 401359 409550 413975 415688 422240 425932 430534 447664 454720 456800 458696 461825 463652 475072 475078 509600 519610 524224 527800 529888 532415 559580 568400 573370 579565 591136 593840 603200 639520 655280 662360 699475 727454 738920 742300 745381 799400 802718 811391 819100 827950 831376 844480 851864 861068 895328 913600 917392 923650 927304 950156 1019200 1039220 1055600 1059776 1064830 1076335 1119160 1136800 1146740 1159130 1182272 1187680 1187695 1279040 1299025 1310560 1324720 1398950 1433425 1454908 1477840 1484600 1490762 1506869 1598800 1605436 1622782 1638200 1655900 1662752 1662773 1703728 1722136 1790656 1818635 1834784 1847300 1854608 1900312 2006795 2078440 2111200 2129660 2152670 2238320 2273600 2293480 2318260 2375360 2375390 2598050 2621120 2649440 2662075 2797900 2866850 2897825 2909816 2955680 2969200 2981524 3013738 3088007 3197600 3210872 3245564 3276400 3311800 3325504 3325546 3407456 3444272 3637270 3669568 3694600 3709216 3726905 3800624 4013590 4056955 4156880 4222400 4259320 4305340 4476640 4586960 4636520 4677061 4750780 5196100 5217667 5298880 5324150 5381675 5595800 5733700 5795650 5819632 5911360 5938400 5938475 5963048 6027476 6176014 6395200 6421744 6491128 6552800 6623600 6651092 6814912 6888544 7274540 7389200 7418432 7453810 7534345 7601248 8027180 8113910 8313760 8313865 8518640 8610680 8953280 9093175 9173920 9273040 9354122 9501560 10033975 10392200 10435334 10548083 10648300 10763350 11191600 11467400 11591300 11639264 11639411 11876800 11876950 11926096 12054952 12352028 12843488 12982256 13105600 13247200 13302184 13777088 14549080 14778400 14907620 15068690 15202496 15440035 16054360 16227820 16627520 16627730 17037280 17221360 18186350 18347840 18546080 18634525 18708244 19003120 20067950 20284775 20784400 20870668 21096166 21296600 21526700 21616049 22383200 22934800 23182600 23278528 23278822 23385305 23753900 23852192 24109904 24704056 25686976 25964512 26088335 26494400 26604368 29098160 29556800 29815240 30137380 30880070 32108720 32455640 32739427 33255460 34074560 34442720 36372700 37092160 37269050 37416488 37671725 38006240 40135900 40569550 41568800 41569325 41741336 42192332 42593200 43053400 43232098 44766400 45869600 46365200 46557644 46770610 47507800 47704384 48219808 49408112 51929024 52176670 52740415 53208736 58196320 58197055 59630480 60274760 60801793 61760140 64217440 64911280 65478854 66510920 68885440 72745400 74538100 74832976 75343450 76012480 77200175 80271800 81139100 83137600 83138650 83482672 84384664 85186400 86106800 86464196 91739200 92730400 93115288 93541220 95015600 96439616 98816224 104353340 105480830 106417472 108080245 116392640 116394110 116926525 119260960 120549520 121603586 123520280 128434880 129822560 130441675 130957708 133021840 135634769 145490800 149076200 149665952 150686900 151312343 154400350 160543600 162278200 163697135 166277300 166965344 168769328 170372800 172213600 172928392 185460800 186230576 187082440 190031200 197632448 208706680 210961660 216160490 229175989 232788220 233853050 238521920 241099040 243207172 247040560 259645120 260883350 261915416 263702075 266043680 271269538 290981600 290985275 298152400 299331904 301373800 302624686 304008965 308800700 321087200 324556400 327394270 332554600 333930688 337538656 344427200 345856784 372461152 374164880 380062400 417413360 421923320 425612551 432320980 458351978 465576440 467706100 482198080 486414344 494081120 521766700 523830832 527404150 532087360 540401225 542539076 581963200 581970550 596304800 602747600 605249372 608017930 617601400 642174400 649112800 654788540 665109200 675077312 678173845 691713568 744922304 748329760 756561715 818485675 834826720 843846640 851225102 864641960 916703956 931152880 935412200 949443383 972828688 988162240 1043533400 1047661664 1054808300 1080802450 1085078152 1145879945 1163941100 1192609600 1205495200 1210498744 1216035860 1235202800 1298225600 1309577080 1330218400 1356347690 1383427136 1496659520 1513123430 1520044825 1636971350 1669653440 1687693280 1702450204 1729283920 1763251997 1833407912 1862305760 1870824400 1898886766 1945657376 2087066800 2095323328 2109616600 2128062755 2161604900 2170156304 2291759890 2327882200 2410990400 2420997488 2432071720 2470405600 2619154160 2660436800 2712695380 2979287857 3026246860 3040089650 3273942700 3375386560 3390869225 3404900408 3458567840 3526503994 3666815824 3724611520 3741648800 3782808575 3797773532 3891314752 4174133600 4219233200 4256125510 4323209800 4340312608 4583519780 4655764400 4747216915 4841994976 4864143440 4940811200 5238308320 5425390760 5729399725 5958575714 6052493720 6080179300 6547885400 6646103681 6781738450 6809800816 6917135680 7053007988 7333631648 7483297600 7565617150 7595547064 8348267200 8438466400 8512251020 8646419600 8680625216 8816259985 9167039560 9311528800 9494433830 9683989952 9728286880 10476616640 10640313775 10850781520 11458799450 11917151428 12104987440 12160358600 12342763979 13095770800 13292207362 13563476900 13619601632 14106015976 14667263296 14896439285 15131234300 15191094128 16876932800 17024502040 17292839200 17632519970 18334079120 18623057600 18988867660 19456573760 21280627550 21701563040 22917598900 23736084575 23834302856 24209974880 24320717200 24685527958 26191541600 26584414724 27126953800 27239203264 28212031952 29792878570 30262468600 30382188256 33230518405 34049004080 34585678400 35265039940 36668158240 37977735320 42561255100 43403126080 44081299925 45835197800 47472169150 47668605712 48419949760 48641434400 49371055916 52383083200 53168829448 54253907600 56424063904 59585757140 60524937200 60764376512 61713819895 66461036810 68098008160 70530079880 73336316480 74482196425 75955470640 85122510200 86399347853 88162599850 91670395600 94944338300 95337211424 97282868800 98742111832 106337658896 108507815200 112848127808 119171514280 121049874400 123427639790 132922073620 136196016320 141060159760 148964392850 151910941280 166152592025 170245020400 172798695706 176325199700 183340791200 189888676600 190674422848 197484223664 212675317792 217015630400 238343028560 242099748800 246855279580 265844147240 282120319520 297928785700 303821882560 308569099475 332305184050 340490040800 345597391412 352650399400 366681582400 379777353200 394968447328 425350635584 431996739265 476686057120 493710559160 531688294480 564240639040 595857571400 617138198950 664610368100 680980081600 691194782824 705300798800 759554706400 789936894656 863993478530 953372114240 987421118320 1063376588960 1191715142800 1234276397900 1329220736200 1382389565648 1410601597600 1519109412800 1727986957060 1974842236640 2126753177920 2159983696325 2383430285600 2468552795800 2658441472400 2764779131296 2821203195200 3455973914120 3949684473280 4319967392650 4766860571200 4937105591600 5316882944800 5529558262592 6911947828240 8639934785300 9874211183200 10633765889600 13823895656480 17279869570600 19748422366400 27647791312960 34559739141200 69119478282400 138238956564800
- Sum of all divisors σ(n): 441647252766720
- Sum of proper divisors (its aliquot sum) s(n): 303408296201920
- 138238956564800 is an abundant number, because the sum of its proper divisors (303408296201920) is greater than itself. Its abundance is 165169339637120
Bases of 138238956564800
- Binary: 111110110111010010000111110011001110001010000002
- Hexadecimal: 0x7DBA43E67140
- Base-36: 1D023LIIWW
Squares and roots of 138238956564800
- 138238956564800 squared (1382389565648002) is 19110009112124661016599040000
- 138238956564800 cubed (1382389565648003) is 2641747719603933227316558502377377792000000
-
The
square root of 138238956564800 is 11757506.3922925425 -
The
cube root of 138238956564800 is 51706.3024670935
Scales and comparisons
How big is 138238956564800?- 138,238,956,564,800 seconds is equal to 4,395,571 years, 11 weeks, 2 days, 4 hours, 53 minutes, 20 seconds.
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To count from 1 to 138,238,956,564,800 would take you about ten million, nine hundred eighty-eight thousand, nine hundred twenty-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 138238956564800 cubic inches would be around 4308.9 feet tall.
Recreational maths with 138238956564800
- 138238956564800 backwards is 008465659832831
- The number of decimal digits it has is: 15
- The sum of 138238956564800's digits is 68
- More coming soon!
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The information we have on file for 138238956564800 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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