138014409600
138,014,409,600 is an even composite number composed of five prime numbers multiplied together.
138014409600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138014409600:
27 × 34 × 52 × 47 × 11329
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 47 × 11329)See below for interesting mathematical facts about the number 138014409600 from the Numbermatics database.
Names of 138014409600
- Cardinal: 138014409600 can be written as One hundred thirty-eight billion, fourteen million, four hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.380144096 × 1011
Factors of 138014409600
Divisors of 138014409600
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 47 48 50 54 60 64 72 75 80 81 90 94 96 100 108 120 128 135 141 144 150 160 162 180 188 192 200 216 225 235 240 270 282 288 300 320 324 360 376 384 400 405 423 432 450 470 480 540 564 576 600 640 648 675 705 720 752 800 810 846 864 900 940 960 1080 1128 1152 1175 1200 1269 1296 1350 1410 1440 1504 1600 1620 1692 1728 1800 1880 1920 2025 2115 2160 2256 2350 2400 2538 2592 2700 2820 2880 3008 3200 3240 3384 3456 3525 3600 3760 3807 4050 4230 4320 4512 4700 4800 5076 5184 5400 5640 5760 6016 6345 6480 6768 7050 7200 7520 7614 8100 8460 8640 9024 9400 9600 10152 10368 10575 10800 11280 11329 12690 12960 13536 14100 14400 15040 15228 16200 16920 17280 18048 18800 19035 20304 21150 21600 22560 22658 25380 25920 27072 28200 28800 30080 30456 31725 32400 33840 33987 37600 38070 40608 42300 43200 45120 45316 50760 51840 54144 56400 56645 60912 63450 64800 67680 67974 75200 76140 81216 84600 86400 90240 90632 95175 101520 101961 112800 113290 121824 126900 129600 135360 135948 150400 152280 162432 169200 169935 181264 190350 203040 203922 225600 226580 243648 253800 259200 270720 271896 283225 304560 305883 338400 339870 362528 380700 406080 407844 451200 453160 487296 507600 509805 532463 543792 566450 609120 611766 676800 679740 725056 761400 812160 815688 849675 906320 917649 1015200 1019610 1064926 1087584 1132900 1218240 1223532 1353600 1359480 1450112 1522800 1529415 1597389 1631376 1699350 1812640 1835298 2030400 2039220 2129852 2175168 2265800 2436480 2447064 2549025 2662315 2718960 3045600 3058830 3194778 3262752 3398700 3625280 3670596 4060800 4078440 4259704 4350336 4531600 4588245 4792167 4894128 5098050 5324630 5437920 6091200 6117660 6389556 6525504 6797400 7250560 7341192 7647075 7986945 8156880 8519408 9063200 9176490 9584334 9788256 10196100 10649260 10875840 12182400 12235320 12779112 13051008 13311575 13594800 14376501 14682384 15294150 15973890 16313760 17038816 18126400 18352980 19168668 19576512 20392200 21298520 21751680 22941225 23960835 24470640 25558224 26623150 27189600 28753002 29364768 30588300 31947780 32627520 34077632 36252800 36705960 38337336 39153024 39934725 40784400 42597040 43129503 45882450 47921670 48941280 51116448 53246300 54379200 57506004 58729536 61176600 63895560 65255040 68155264 71882505 73411920 76674672 79869450 81568800 85194080 86259006 91764900 95843340 97882560 102232896 106492600 108758400 115012008 117459072 119804175 122353200 127791120 143765010 146823840 153349344 159738900 163137600 170388160 172518012 183529800 191686680 195765120 204465792 212985200 215647515 230024016 239608350 244706400 255582240 287530020 293647680 306698688 319477800 326275200 340776320 345036024 359412525 367059600 383373360 425970400 431295030 460048032 479216700 489412800 511164480 575060040 587295360 613397376 638955600 690072048 718825050 734119200 766746720 851940800 862590060 920096064 958433400 978825600 1022328960 1078237575 1150120080 1277911200 1380144096 1437650100 1468238400 1533493440 1703881600 1725180120 1840192128 1916866800 2156475150 2300240160 2555822400 2760288192 2875300200 2936476800 3066986880 3450360240 3833733600 4312950300 4600480320 5111644800 5520576384 5750600400 6900720480 7667467200 8625900600 9200960640 11501200800 13801440960 15334934400 17251801200 23002401600 27602881920 34503602400 46004803200 69007204800 138014409600
- Sum of all divisors σ(n): 520185679200
- Sum of proper divisors (its aliquot sum) s(n): 382171269600
- 138014409600 is an abundant number, because the sum of its proper divisors (382171269600) is greater than itself. Its abundance is 244156860000
Bases of 138014409600
- Binary: 100000001000100100110011000011100000002
- Hexadecimal: 0x20224CC380
- Base-36: 1REI7S00
Squares and roots of 138014409600
- 138014409600 squared (1380144096002) is 19047977257236572160000
- 138014409600 cubed (1380144096003) is 2628895335231732834190196736000000
-
The
square root of 138014409600 is 371502.9065835151 -
The
cube root of 138014409600 is 5167.8291102551
Scales and comparisons
How big is 138014409600?- 138,014,409,600 seconds is equal to 4,388 years, 22 weeks, 3 days.
-
To count from 1 to 138,014,409,600 would take you about eight thousand, seven hundred seventy-six 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 138014409600 cubic inches would be around 430.7 feet tall.
Recreational maths with 138014409600
- 138014409600 backwards is 006904410831
- 138014409600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138014409600's digits is 36
- More coming soon!
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