138676978086400
138,676,978,086,400 is an even composite number composed of seven prime numbers multiplied together.
138676978086400 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 138676978086400:
29 × 52 × 13 × 17 × 29 × 197 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 29 × 197 × 8581)See below for interesting mathematical facts about the number 138676978086400 from the Numbermatics database.
Names of 138676978086400
- Cardinal: 138676978086400 can be written as One hundred thirty-eight trillion, six hundred seventy-six billion, nine hundred seventy-eight million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.386769780864 × 1014
Factors of 138676978086400
Divisors of 138676978086400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 128 130 136 145 160 170 197 200 208 221 232 256 260 272 290 320 325 340 377 394 400 416 425 442 464 493 512 520 544 580 640 650 680 725 754 788 800 832 850 884 928 985 986 1040 1088 1105 1160 1280 1300 1360 1450 1508 1576 1600 1664 1700 1768 1856 1885 1970 1972 2080 2176 2210 2320 2465 2560 2561 2600 2720 2900 3016 3152 3200 3328 3349 3400 3536 3712 3770 3940 3944 4160 4352 4420 4640 4925 4930 5122 5200 5440 5525 5713 5800 6032 6304 6400 6409 6656 6698 6800 7072 7424 7540 7880 7888 8320 8581 8704 8840 9280 9425 9850 9860 10244 10400 10880 11050 11426 11600 12064 12325 12608 12800 12805 12818 13396 13600 14144 14848 15080 15760 15776 16640 16745 17162 17680 18560 18850 19700 19720 20488 20800 21760 22100 22852 23200 24128 24650 25216 25610 25636 26792 27200 28288 28565 30160 31520 31552 32045 33280 33490 34324 35360 37120 37700 39400 39440 40976 41600 42905 43520 43537 44200 45704 46400 48256 49300 50432 51220 51272 53584 54400 56576 57130 60320 63040 63104 64025 64090 66980 68648 70720 74240 74269 75400 78800 78880 81952 83200 83725 85810 87074 88400 91408 92800 96512 97121 98600 100864 102440 102544 107168 108800 111553 113152 114260 120640 126080 126208 128050 128180 133960 137296 141440 142825 145877 148538 150800 157600 157760 160225 163904 166400 167450 171620 174148 176800 182816 185600 193024 194242 197200 204880 205088 214336 214525 217600 217685 223106 228520 241280 248849 252160 252416 256100 256360 267920 274592 282880 285650 291754 297076 301600 315200 315520 320450 327808 334900 343240 348296 353600 365632 371200 371345 388484 394400 409760 410176 428672 429050 435370 446212 457040 482560 485605 497698 504320 512200 512720 535840 549184 557765 565760 571300 583508 594152 603200 630400 631040 640900 655616 669800 686480 696592 707200 729385 731264 742690 776968 788800 819520 820352 857344 858100 870740 892424 914080 965120 971210 995396 1024400 1025440 1071680 1088425 1098368 1115530 1142600 1167016 1188304 1206400 1244245 1260800 1262080 1262573 1281800 1311232 1339600 1372960 1393184 1414400 1458770 1462528 1485380 1553936 1577600 1639040 1640704 1690457 1714688 1716200 1741480 1784848 1828160 1856725 1896401 1942420 1990792 2048800 2050880 2143360 2176850 2196736 2231060 2285200 2334032 2376608 2412800 2428025 2488490 2521600 2525146 2563600 2679200 2745920 2786368 2788825 2828800 2917540 2925056 2970760 3107872 3155200 3235037 3278080 3281408 3380914 3432400 3482960 3569696 3646925 3656320 3713450 3792802 3884840 3981584 4097600 4101760 4230433 4286720 4353700 4393472 4462120 4570400 4668064 4753216 4825600 4856050 4976980 5050292 5127200 5358400 5491840 5572736 5577650 5835080 5941520 6215744 6221225 6310400 6312865 6470074 6556160 6761828 6864800 6965920 7139392 7293850 7312640 7426900 7585604 7769680 7963168 8195200 8203520 8452285 8460866 8573440 8707400 8924240 9140800 9336128 9482005 9506432 9712100 9953960 10100584 10254400 10716800 10983680 11145472 11155300 11670160 11883040 12431488 12442450 12625730 12940148 13523656 13729600 13931840 14278784 14587700 14625280 14853800 15171208 15539360 15926336 16175185 16390400 16407040 16904570 16921732 17414800 17848480 18281600 18672256 18964010 19012864 19424200 19907920 20201168 20508800 21152165 21433600 21967360 21975941 22290944 22310600 23340320 23766080 24862976 24884900 25251460 25880296 27047312 27459200 27863680 28557568 28737769 29175400 29707600 30342416 31078720 31564325 31852672 32350370 32780800 33809140 33843464 34829600 35696960 36563200 37344512 37928020 38025728 38848400 39815840 40402336 41017600 42261425 42304330 42867200 43951882 44621200 46680640 47410025 47532160 49023253 49725952 49769800 50502920 51760592 54094624 54918400 54995629 55727360 57115136 57475538 58350800 59415200 60684832 62157440 63128650 63705344 64700740 67618280 67686928 69659200 71393920 73126400 74689024 75856040 77696800 79631680 80804672 80875925 82035200 84522850 84608660 87903764 89242400 93361280 94820050 95064320 98046506 99539600 101005840 103521184 105760825 108189248 109836800 109879705 109991258 111454720 114951076 116701600 118830400 121369664 124314880 126257300 127410688 129401480 135236560 135373856 139318400 142787840 143688845 151712080 155393600 159263360 161609344 161751850 169045700 169217320 175807528 178484800 186722560 189640100 190128640 196093012 199079200 202011680 207042368 211521650 216378496 219759410 219982516 229902152 233403200 237660800 242739328 245116265 248629760 252514600 258802960 270473120 270747712 274978145 278636800 285575680 287377690 303424160 310787200 318526720 323218688 323503700 338091400 338434640 351615056 356969600 373445120 373590997 379280200 392186024 398158400 404023360 414084736 423043300 432756992 439518820 439965032 459804304 466806400 475321600 485478656 490232530 505029200 517605920 540946240 541495424 549398525 549956290 557273600 574755380 606848320 621574400 637053440 637302289 646437376 647007400 676182800 676869280 703230112 713939200 718444225 747181994 758560400 784372048 796316800 808046720 828169472 833395301 846086600 865513984 879037640 879930064 919608608 933612800 950643200 970957312 980465060 1010058400 1035211840 1081892480 1082990848 1098797050 1099912580 1149510760 1213696640 1225581325 1243148800 1274604578 1294014800 1352365600 1353738560 1374890725 1406460224 1427878400 1436888450 1494363988 1517120800 1568744096 1592633600 1616093440 1656338944 1666790602 1692173200 1758075280 1759860128 1839217216 1867225600 1867954985 1960930120 2020116800 2070423680 2163784960 2165981696 2197594100 2199825160 2299021520 2427393280 2451162650 2549209156 2588029600 2704731200 2707477120 2749781450 2812920448 2873776900 2988727976 3034241600 3137488192 3185267200 3186511445 3232186880 3333581204 3384346400 3516150560 3519720256 3678434432 3735909970 3921860240 4040233600 4140847360 4166976505 4327569920 4395188200 4399650320 4598043040 4854786560 4902325300 5098418312 5176059200 5409462400 5414954240 5499562900 5625840896 5747553800 5977455952 6068483200 6274976384 6373022890 6667162408 6768692800 7032301120 7039440512 7356868864 7471819940 7843720480 8080467200 8281694720 8333953010 8790376400 8799300640 9196086080 9339774925 9804650600 10196836624 10352118400 10818924800 10829908480 10834138913 10999125800 11251681792 11495107600 11954911904 12136966400 12549952768 12746045780 13334324816 13537385600 14064602240 14078881024 14713737728 14943639880 15687440960 15932557225 16160934400 16667906020 17580752800 17598601280 18392172160 18679549850 19609301200 20393673248 20704236800 20834882525 21637849600 21668277826 21998251600 22990215200 23909823808 24273932800 25099905536 25492091560 26668649632 27074771200 28129204480 28157762048 29887279760 31374881920 31865114450 33335812040 35161505600 35197202560 36784344320 37359099700 39218602400 40787346496 41408473600 41669765050 43336555652 43996503200 45980430400 47819647616 50984183120 53337299264 54149542400 54170694565 56258408960 59774559520 62749763840 63730228900 66671624080 70323011200 70394405120 73568688640 74718199400 78437204800 81574692992 83339530100 86673111304 87993006400 91960860800 95639295232 101968366240 106674598528 108341389130 119549119040 125499527680 127460457800 133343248160 140646022400 140788810240 149436398800 156874409600 163149385984 166679060200 173346222608 175986012800 183921721600 191278590464 203936732480 213349197056 216682778260 239098238080 254920915600 266686496320 270853472825 281292044800 298872797600 313748819200 326298771968 333358120400 346692445216 351972025600 367843443200 407873464960 426698394112 433365556520 478196476160 509841831200 533372992640 541706945650 597745595200 627497638400 666716240800 693384890432 703944051200 815746929920 866731113040 956392952320 1019683662400 1066745985280 1083413891300 1195491190400 1333432481600 1386769780864 1631493859840 1733462226080 2039367324800 2133491970560 2166827782600 2390982380800 2666864963200 2773539561728 3466924452160 4078734649600 4333655565200 4781964761600 5333729926400 5547079123456 6933848904320 8157469299200 8667311130400 10667459852800 13867697808640 17334622260800 27735395617280 34669244521600 69338489043200 138676978086400
- Sum of all divisors σ(n): 407392306786080
- Sum of proper divisors (its aliquot sum) s(n): 268715328699680
- 138676978086400 is an abundant number, because the sum of its proper divisors (268715328699680) is greater than itself. Its abundance is 130038350613280
Bases of 138676978086400
- Binary: 111111000100000010000000000010001110010000000002
- Hexadecimal: 0x7E2040047200
- Base-36: 1D5NBO7W1S
Squares and roots of 138676978086400
- 138676978086400 squared (1386769780864002) is 19231304251175865805864960000
- 138676978086400 cubed (1386769780864003) is 2666939158213206703792482134517612544000000
-
The
square root of 138676978086400 is 11776118.9738555207 -
The
cube root of 138676978086400 is 51760.8567805831
Scales and comparisons
How big is 138676978086400?- 138,676,978,086,400 seconds is equal to 4,409,498 years, 49 weeks, 1 day, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,676,978,086,400 would take you about eleven million, twenty-three thousand, seven hundred forty-seven 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 138676978086400 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138676978086400
- 138676978086400 backwards is 004680879676831
- The number of decimal digits it has is: 15
- The sum of 138676978086400's digits is 73
- More coming soon!
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The information we have on file for 138676978086400 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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