138148416000

Names of 138148416000

• Cardinal: 138148416000 can be written as One hundred thirty-eight billion, one hundred forty-eight million, four hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.38148416 × 10¹¹

Factors of 138148416000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 64

Divisors of 138148416000

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 47 48 50 54 56 60 63 64 70 72 75 80 81 84 90 94 96 100 105 108 112 120 125 126 128 135 140 141 144 150 160 162 168 175 180 188 189 192 200 210 216 224 225 235 240 243 250 252 256 270 280 282 288 300 315 320 324 329 336 350 360 375 376 378 384 400 405 420 423 432 448 450 470 480 486 500 504 512 525 540 560 564 567 576 600 630 640 648 658 672 675 700 705 720 729 750 752 756 768 800 810 840 846 864 875 896 900 940 945 960 972 987 1000 1008 1050 1080 1120 1125 1128 1134 1152 1175 1200 1215 1260 1269 1280 1296 1316 1344 1350 1400 1410 1440 1458 1500 1504 1512 1536 1575 1600 1620 1645 1680 1692 1701 1728 1750 1792 1800 1880 1890 1920 1944 1974 2000 2016 2025 2100 2115 2160 2187 2240 2250 2256 2268 2304 2350 2400 2430 2520 2538 2560 2592 2625 2632 2688 2700 2800 2820 2835 2880 2916 2961 3000 3008 3024 3150 3200 3240 3290 3360 3375 3384 3402 3456 3500 3525 3584 3600 3645 3760 3780 3807 3840 3888 3948 4000 4032 4050 4200 4230 4320 4374 4480 4500 4512 4536 4608 4700 4725 4800 4860 4935 5040 5076 5103 5184 5250 5264 5376 5400 5600 5640 5670 5760 5832 5875 5922 6000 6016 6048 6075 6300 6345 6400 6480 6561 6580 6720 6750 6768 6804 6912 7000 7050 7200 7290 7520 7560 7614 7680 7776 7875 7896 8000 8064 8100 8225 8400 8460 8505 8640 8748 8883 8960 9000 9024 9072 9400 9450 9600 9720 9870 10080 10125 10152 10206 10368 10500 10528 10575 10752 10800 10935 11200 11280 11340 11421 11520 11664 11750 11844 12000 12032 12096 12150 12600 12690 12800 12960 13122 13160 13440 13500 13536 13608 13824 14000 14100 14175 14400 14580 14805 15040 15120 15228 15309 15552 15750 15792 16000 16128 16200 16450 16800 16920 17010 17280 17496 17625 17766 17920 18000 18048 18144 18225 18800 18900 19035 19200 19440 19740 20160 20250 20304 20412 20736 21000 21056 21150 21600 21870 22400 22560 22680 22842 23040 23328 23500 23625 23688 24000 24064 24192 24300 24675 25200 25380 25515 25920 26244 26320 26649 26880 27000 27072 27216 28000 28200 28350 28800 29160 29610 30080 30240 30375 30456 30618 31104 31500 31584 31725 32000 32256 32400 32805 32900 33600 33840 34020 34263 34560 34992 35250 35532 36000 36096 36288 36450 37600 37800 38070 38400 38880 39480 40320 40500 40608 40824 41125 41472 42000 42112 42300 42525 43200 43740 44415 44800 45120 45360 45684 45927 46656 47000 47250 47376 48000 48384 48600 49350 50400 50760 51030 51840 52488 52640 52875 53298 53760 54000 54144 54432 54675 56000 56400 56700 57105 57600 58320 59220 60160 60480 60750 60912 61236 62208 63000 63168 63450 64000 64800 65610 65800 67200 67680 68040 68526 69120 69984 70500 70875 71064 72000 72192 72576 72900 74025 75200 75600 76140 76545 77760 78960 79947 80640 81000 81216 81648 82250 84000 84224 84600 85050 86400 87480 88830 89600 90240 90720 91125 91368 91854 93312 94000 94500 94752 95175 96000 96768 97200 98700 100800 101520 102060 102789 103680 104976 105280 105750 106596 108000 108288 108864 109350 112000 112800 113400 114210 115200 116640 118440 120320 120960 121500 121824 122472 123375 124416 126000 126336 126900 127575 129600 131220 131600 133245 134400 135360 136080 137052 139968 141000 141750 142128 144000 145152 145800 148050 150400 151200 152280 153090 155520 157920 158625 159894 161280 162000 162432 163296 164025 164500 168000 168448 169200 170100 171315 172800 174960 177660 180480 181440 182250 182736 183708 186624 188000 189000 189504 190350 192000 194400 197400 201600 203040 204120 205578 207360 209952 210560 211500 212625 213192 216000 216576 217728 218700 222075 224000 225600 226800 228420 229635 233280 236880 239841 241920 243000 243648 244944 246750 252000 252672 253800 255150 259200 262440 263200 266490 268800 270720 272160 273375 274104 279936 282000 283500 284256 285525 288000 290304 291600 296100 300800 302400 304560 306180 308367 311040 315840 317250 319788 324000 324864 326592 328050 329000 336000 338400 340200 342630 345600 349920 355320 360960 362880 364500 365472 367416 370125 373248 376000 378000 379008 380700 382725 388800 394800 399735 403200 406080 408240 411156 419904 421120 423000 425250 426384 432000 435456 437400 444150 448000 451200 453600 456840 459270 466560 473760 475875 479682 483840 486000 487296 489888 493500 504000 505344 507600 510300 513945 518400 524880 526400 532980 541440 544320 546750 548208 559872 564000 567000 568512 571050 576000 583200 592200 601600 604800 609120 612360 616734 622080 631680 634500 637875 639576 648000 649728 653184 656100 658000 666225 672000 676800 680400 685260 699840 710640 719523 725760 729000 730944 734832 740250 752000 756000 758016 761400 765450 777600 789600 799470 806400 812160 816480 820125 822312 839808 842240 846000 850500 852768 856575 864000 870912 874800 888300 902400 907200 913680 918540 933120 947520 951750 959364 972000 974592 979776 987000 1008000 1015200 1020600 1027890 1036800 1049760 1052800 1065960 1082880 1088640 1093500 1096416 1110375 1119744 1128000 1134000 1137024 1142100 1148175 1166400 1184400 1199205 1209600 1218240 1224720 1233468 1263360 1269000 1275750 1279152 1296000 1306368 1312200 1316000 1332450 1344000 1353600 1360800 1370520 1399680 1421280 1427625 1439046 1451520 1458000 1461888 1469664 1480500 1504000 1512000 1516032 1522800 1530900 1541835 1555200 1579200 1598940 1624320 1632960 1640250 1644624 1679616 1692000 1701000 1705536 1713150 1728000 1749600 1776600 1804800 1814400 1827360 1837080 1866240 1895040 1903500 1913625 1918728 1944000 1949184 1959552 1974000 1998675 2016000 2030400 2041200 2055780 2099520 2105600 2131920 2158569 2177280 2187000 2192832 2220750 2256000 2268000 2274048 2284200 2296350 2332800 2368800 2398410 2419200 2436480 2449440 2466936 2526720 2538000 2551500 2558304 2569725 2592000 2612736 2624400 2632000 2664900 2707200 2721600 2741040 2799360 2842560 2855250 2878092 2916000 2923776 2939328 2961000 3008000 3024000 3045600 3061800 3083670 3110400 3158400 3197880 3248640 3265920 3280500 3289248 3331125 3359232 3384000 3402000 3411072 3426300 3499200 3553200 3597615 3628800 3654720 3674160 3790080 3807000 3827250 3837456 3888000 3919104 3948000 3997350 4032000 4060800 4082400 4111560 4199040 4211200 4263840 4282875 4317138 4354560 4374000 4385664 4441500 4512000 4536000 4548096 4568400 4592700 4665600 4737600 4796820 4872960 4898880 4933872 5076000 5103000 5116608 5139450 5184000 5248800 5264000 5329800 5414400 5443200 5482080 5598720 5685120 5710500 5740875 5756184 5832000 5847552 5878656 5922000 5996025 6048000 6091200 6123600 6167340 6316800 6395760 6531840 6561000 6578496 6662250 6768000 6804000 6822144 6852600 6998400 7106400 7195230 7257600 7309440 7348320 7580160 7614000 7654500 7674912 7709175 7776000 7838208 7896000 7994700 8121600 8164800 8223120 8398080 8527680 8565750 8634276 8748000 8771328 8883000 9024000 9072000 9136800 9185400 9331200 9475200 9593640 9745920 9797760 9867744 9993375 10152000 10206000 10233216 10278900 10497600 10528000 10659600 10792845 10886400 10964160 11370240 11421000 11481750 11512368 11664000 11757312 11844000 11992050 12096000 12182400 12247200 12334680 12633600 12791520 12848625 13063680 13122000 13156992 13324500 13536000 13608000 13644288 13705200 13996800 14212800 14390460 14618880 14696640 15228000 15309000 15349824 15418350 15552000 15792000 15989400 16243200 16329600 16446240 16796160 17055360 17131500 17268552 17496000 17542656 17766000 17988075 18144000 18273600 18370800 18950400 19187280 19595520 19735488 19986750 20304000 20412000 20466432 20557800 20995200 21056000 21319200 21585690 21772800 21928320 22740480 22842000 22963500 23024736 23328000 23514624 23688000 23984100 24364800 24494400 24669360 25583040 25697250 26244000 26313984 26649000 27072000 27216000 27410400 27993600 28425600 28780920 29237760 29393280 29980125 30456000 30618000 30699648 30836700 31584000 31978800 32659200 32892480 34110720 34263000 34537104 34992000 35532000 35976150 36288000 36547200 36741600 37900800 38374560 38545875 39191040 39470976 39973500 40608000 40824000 40932864 41115600 41990400 42638400 43171380 43856640 45684000 45927000 46049472 46656000 47376000 47968200 48729600 48988800 49338720 51166080 51394500 52488000 52627968 53298000 53964225 54432000 54820800 56851200 57561840 58786560 59960250 60912000 61236000 61399296 61673400 63168000 63957600 65318400 65784960 68221440 68526000 69074208 69984000 71064000 71952300 73094400 73483200 76749120 77091750 78941952 79947000 81216000 81648000 82231200 83980800 85276800 86342760 87713280 89940375 91368000 91854000 92098944 94752000 95936400 97977600 98677440 102332160 102789000 104976000 106596000 107928450 108864000 109641600 113702400 115123680 117573120 119920500 121824000 122472000 122798592 123346800 127915200 131569920 137052000 138148416 139968000 142128000 143904600 146188800 146966400 153498240 154183500 157883904 159894000 163296000 164462400 170553600 172685520 179880750 182736000 183708000 184197888 189504000 191872800 195955200 197354880 204664320 205578000 209952000 213192000 215856900 219283200 230247360 239841000 243648000 244944000 246693600 255830400 263139840 269821125 274104000 276296832 284256000 287809200 293932800 306996480 308367000 319788000 326592000 328924800 341107200 345371040 359761500 365472000 367416000 368395776 383745600 394709760 411156000 419904000 426384000 431713800 438566400 460494720 479682000 489888000 493387200 511660800 539642250 548208000 552593664 568512000 575618400 587865600 613992960 616734000 639576000 657849600 690742080 719523000 730944000 734832000 767491200 789419520 822312000 852768000 863427600 920989440 959364000 979776000 986774400 1023321600 1079284500 1096416000 1105187328 1151236800 1233468000 1279152000 1315699200 1381484160 1439046000 1469664000 1534982400 1644624000 1705536000 1726855200 1841978880 1918728000 1973548800 2158569000 2192832000 2302473600 2466936000 2558304000 2762968320 2878092000 2939328000 3069964800 3289248000 3453710400 3837456000 3947097600 4317138000 4604947200 4933872000 5116608000 5525936640 5756184000 6578496000 6907420800 7674912000 8634276000 9209894400 9867744000 11512368000 13814841600 15349824000 17268552000 19735488000 23024736000 27629683200 34537104000 46049472000 69074208000 138148416000
• Sum of all divisors σ(n): 603074115072
• Sum of proper divisors (its aliquot sum) s(n): 464925699072
• 138148416000 is an abundant number, because the sum of its proper divisors (464925699072) is greater than itself. Its abundance is 326777283072

Bases of 138148416000

• Binary: 10000000101010010010011000101000000000₂
• Hexadecimal: 0x202A498A00
• Base-36: 1RGQ0000

Squares and roots of 138148416000

• 138148416000 squared (138148416000²) is 19084984843309056000000
• 138148416000 cubed (138148416000³) is 2636560425487154284855296000000000
• The square root of 138148416000 is 371683.2199602235
• The cube root of 138148416000 is 5169.5011534395

Scales and comparisons

• 138,148,416,000 seconds is equal to 4,392 years, 36 weeks.
• To count from 1 to 138,148,416,000 would take you about eight thousand, seven hundred eighty-five 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 138148416000 cubic inches would be around 430.8 feet tall.

Recreational maths with 138148416000

• 138148416000 backwards is 000614841831
• 138148416000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138148416000's digits is 36
• More coming soon!