138053980800
138,053,980,800 is an even composite number composed of six prime numbers multiplied together.
138053980800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138053980800:
27 × 33 × 52 × 17 × 193 × 487
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 193 × 487)See below for interesting mathematical facts about the number 138053980800 from the Numbermatics database.
Names of 138053980800
- Cardinal: 138053980800 can be written as One hundred thirty-eight billion, fifty-three million, nine hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380539808 × 1011
Factors of 138053980800
Divisors of 138053980800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 160 170 180 192 193 200 204 216 225 240 255 270 272 288 300 306 320 340 360 384 386 400 408 425 432 450 459 480 487 510 540 544 576 579 600 612 640 675 680 720 765 772 800 816 850 864 900 918 960 965 974 1020 1080 1088 1152 1158 1200 1224 1275 1350 1360 1440 1461 1530 1544 1600 1632 1700 1728 1737 1800 1836 1920 1930 1948 2040 2160 2176 2295 2316 2400 2435 2448 2550 2700 2720 2880 2895 2922 3060 3088 3200 3264 3281 3400 3456 3474 3600 3672 3825 3860 3896 4080 4320 4383 4590 4632 4800 4825 4870 4896 5100 5211 5400 5440 5760 5790 5844 6120 6176 6528 6562 6800 6948 7200 7305 7344 7650 7720 7792 8160 8279 8640 8685 8766 9180 9264 9600 9650 9740 9792 9843 10200 10422 10800 10880 11475 11580 11688 12175 12240 12352 13124 13149 13600 13896 14400 14475 14610 14688 15300 15440 15584 16320 16405 16558 17280 17370 17532 18360 18528 19300 19480 19584 19686 20400 20844 21600 21915 22950 23160 23376 24350 24480 24704 24837 26055 26248 26298 27200 27792 28800 28950 29220 29376 29529 30600 30880 31168 32640 32810 33116 34740 35064 36525 36720 37056 38600 38960 39372 40800 41395 41688 43200 43425 43830 45900 46320 46752 48700 48960 49215 49674 52110 52496 52596 54400 55584 57900 58440 58752 59058 61200 61760 62336 65620 65745 66232 69480 70128 73050 73440 74112 74511 77200 77920 78744 81600 82025 82790 83376 86400 86850 87660 88587 91800 92640 93504 93991 97400 97920 98430 99348 104220 104992 105192 109575 111168 115800 116880 118116 122400 123520 124185 130275 131240 131490 132464 138960 140256 146100 146880 147645 149022 154400 155840 157488 163200 164050 165580 166752 173700 175320 177174 183600 185280 187008 187982 194800 196860 198696 206975 208440 209984 210384 219150 222336 223533 231600 233760 236232 244800 246075 248370 260550 262480 262980 264928 277920 280512 281973 292200 293760 295290 298044 308800 311680 314976 328100 328725 331160 333504 347400 350640 354348 367200 370560 372555 375964 389600 393720 397392 413950 416880 419968 420768 438300 442935 447066 463200 467520 469955 472464 489600 492150 496740 521100 524960 525960 529856 555840 561024 563946 584400 590580 596088 617600 620925 629952 656200 657450 662320 667008 694800 701280 708696 734400 738225 745110 751928 779200 787440 794784 827900 833760 841536 845919 876600 885870 894132 926400 935040 939910 944928 984300 993480 1042200 1049920 1051920 1059712 1111680 1117665 1127892 1168800 1181160 1192176 1241850 1259904 1312400 1314900 1324640 1389600 1402560 1409865 1417392 1468800 1476450 1490220 1503856 1558400 1574880 1589568 1597847 1655800 1667520 1683072 1691838 1753200 1771740 1788264 1852800 1862775 1879820 1889856 1968600 1986960 2084400 2099840 2103840 2214675 2235330 2255784 2337600 2349775 2362320 2384352 2483700 2537757 2624800 2629800 2649280 2779200 2805120 2819730 2834784 2952900 2980440 3007712 3149760 3179136 3195694 3311600 3335040 3383676 3506400 3543480 3576528 3725550 3759640 3779712 3937200 3973920 4168800 4207680 4229595 4429350 4470660 4511568 4675200 4699550 4724640 4768704 4793541 4967400 5075514 5249600 5259600 5298560 5558400 5588325 5639460 5669568 5905800 5960880 6015424 6299520 6391388 6623200 6767352 7012800 7049325 7086960 7153056 7451100 7519280 7874400 7947840 7989235 8337600 8415360 8459190 8858700 8941320 9023136 9399100 9449280 9537408 9587082 9934800 10151028 10499200 10519200 11176650 11278920 11339136 11811600 11921760 12030848 12688785 12782776 13246400 13534704 14025600 14098650 14173920 14306112 14380623 14902200 15038560 15748800 15895680 15978470 16675200 16918380 17717400 17882640 18046272 18798200 18898560 19174164 19869600 20302056 21038400 21147975 22353300 22557840 23623200 23843520 23967705 25377570 25565552 26492800 27069408 28197300 28347840 28612224 28761246 29804400 30077120 31497600 31956940 33836760 35434800 35765280 36092544 37596400 38348328 39739200 39946175 40604112 42076800 42295950 43141869 44706600 45115680 47246400 47687040 47935410 50755140 51131104 54138816 56394600 56695680 57522492 59608800 60154240 63443925 63913880 67673520 70869600 71530560 71903115 75192800 76696656 79478400 79892350 81208224 84591900 86283738 89413200 90231360 94492800 95870820 101510280 102262208 108277632 112789200 115044984 119217600 119838525 126887850 127827760 135347040 141739200 143061120 143806230 150385600 153393312 159784700 162416448 169183800 172567476 178826400 180462720 191741640 203020560 204524416 215709345 225578400 230089968 238435200 239677050 253775700 255655520 270694080 283478400 287612460 300771200 306786624 319569400 324832896 338367600 345134952 357652800 359515575 383483280 406041120 431418690 451156800 460179936 479354100 507551400 511311040 541388160 575224920 613573248 639138800 676735200 690269904 715305600 719031150 766966560 812082240 862837380 902313600 920359872 958708200 1015102800 1022622080 1078546725 1150449840 1278277600 1353470400 1380539808 1438062300 1533933120 1624164480 1725674760 1840719744 1917416400 2030205600 2157093450 2300899680 2556555200 2706940800 2761079616 2876124600 3067866240 3451349520 3834832800 4060411200 4314186900 4601799360 5113110400 5522159232 5752249200 6902699040 7669665600 8120822400 8628373800 9203598720 11504498400 13805398080 15339331200 17256747600 23008996800 27610796160 34513495200 46017993600 69026990400 138053980800
- Sum of all divisors σ(n): 538835155200
- Sum of proper divisors (its aliquot sum) s(n): 400781174400
- 138053980800 is an abundant number, because the sum of its proper divisors (400781174400) is greater than itself. Its abundance is 262727193600
Bases of 138053980800
- Binary: 100000001001001010100010010010100000002
- Hexadecimal: 0x2024A89280
- Base-36: 1RF5RXC0
Squares and roots of 138053980800
- 138053980800 squared (1380539808002) is 19058901614726768640000
- 138053980800 cubed (1380539808003) is 2631157237588578315072602112000000
-
The
square root of 138053980800 is 371556.1610308729 -
The
cube root of 138053980800 is 5168.3229660745
Scales and comparisons
How big is 138053980800?- 138,053,980,800 seconds is equal to 4,389 years, 35 weeks, 6 days.
-
To count from 1 to 138,053,980,800 would take you about eight thousand, seven hundred seventy-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 138053980800 cubic inches would be around 430.7 feet tall.
Recreational maths with 138053980800
- 138053980800 backwards is 008089350831
- 138053980800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138053980800's digits is 45
- More coming soon!
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