138728323200
138,728,323,200 is an even composite number composed of six prime numbers multiplied together.
138728323200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138728323200:
27 × 3 × 52 × 172 × 31 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 31 × 1613)See below for interesting mathematical facts about the number 138728323200 from the Numbermatics database.
Names of 138728323200
- Cardinal: 138728323200 can be written as One hundred thirty-eight billion, seven hundred twenty-eight million, three hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.387283232 × 1011
Factors of 138728323200
Divisors of 138728323200
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 75 80 85 93 96 100 102 120 124 128 136 150 155 160 170 186 192 200 204 240 248 255 272 289 300 310 320 340 372 384 400 408 425 465 480 496 510 527 544 578 600 620 640 680 744 775 800 816 850 867 930 960 992 1020 1054 1088 1156 1200 1240 1275 1360 1445 1488 1550 1581 1600 1613 1632 1700 1734 1860 1920 1984 2040 2108 2176 2312 2325 2400 2480 2550 2635 2720 2890 2976 3100 3162 3200 3226 3264 3400 3468 3720 3968 4080 4216 4335 4624 4650 4800 4839 4960 5100 5270 5440 5780 5952 6200 6324 6452 6528 6800 6936 7225 7440 7905 8065 8160 8432 8670 8959 9248 9300 9600 9678 9920 10200 10540 10880 11560 11904 12400 12648 12904 13175 13600 13872 14450 14880 15810 16130 16320 16864 17340 17918 18496 18600 19356 19840 20400 21080 21675 23120 24195 24800 25296 25808 26350 26877 27200 27421 27744 28900 29760 31620 32260 32640 33728 34680 35836 36992 37200 38712 39525 40325 40800 42160 43350 44795 46240 48390 49600 50003 50592 51616 52700 53754 54400 54842 55488 57800 59520 63240 64520 67456 69360 71672 74400 77424 79050 80650 81600 82263 84320 86700 89590 92480 96780 99200 100006 101184 103232 105400 107508 109684 110976 115600 120975 126480 129040 134385 137105 138720 143344 148800 150009 154848 158100 161300 163200 164526 168640 173400 179180 184960 193560 200012 202368 206464 210800 215016 219368 223975 231200 241950 250015 252960 258080 268770 274210 277440 286688 297600 300018 309696 316200 322600 329052 337280 346800 358360 387120 400024 411315 421600 430032 438736 447950 462400 466157 483900 500030 505920 516160 537540 548420 554880 573376 600036 619392 632400 645200 658104 671925 685525 693600 716720 750045 774240 800048 822630 843200 850051 860064 877472 895900 924800 932314 967800 1000060 1011840 1032320 1075080 1096840 1146752 1200072 1250075 1264800 1290400 1316208 1343850 1371050 1387200 1398471 1433440 1500090 1548480 1600096 1645260 1686400 1700102 1720128 1754944 1791800 1864628 1935600 2000120 2056575 2150160 2193680 2330785 2400144 2500150 2529600 2550153 2580800 2632416 2687700 2742100 2774400 2796942 2866880 3000180 3096960 3200192 3290520 3400204 3440256 3509888 3583600 3729256 3750225 3871200 4000240 4113150 4250255 4300320 4387360 4661570 4800288 5000300 5059200 5100306 5161600 5264832 5375400 5484200 5593884 5733760 6000360 6400384 6581040 6800408 6992355 7167200 7458512 7500450 7742400 8000480 8226300 8500510 8600640 8774720 9323140 9600576 10000600 10200612 10529664 10750800 10968400 11187768 11653925 12000720 12750765 13162080 13600816 13984710 14334400 14450867 14917024 15000900 15484800 16000960 16452600 17001020 17201280 17549440 18646280 19201152 20001200 20401224 21251275 21501600 21936800 22375536 23307850 24001440 25501530 26324160 27201632 27969420 28668800 28901734 29834048 30001800 32001920 32905200 34002040 34961775 37292560 40002400 40802448 42502550 43003200 43352601 43873600 44751072 46615700 48002880 51003060 52648320 54403264 55938840 57803468 59668096 60003600 63753825 65810400 68004080 69923550 72254335 74585120 80004800 81604896 85005100 86006400 86705202 87747200 89502144 93231400 96005760 102006120 108806528 111877680 115606936 120007200 127507650 131620800 136008160 139847100 144508670 149170240 160009600 163209792 170010200 173410404 179004288 186462800 204012240 216763005 223755360 231213872 240014400 255015300 263241600 272016320 279694200 289017340 298340480 326419584 340020400 346820808 361271675 372925600 408024480 433526010 447510720 462427744 480028800 510030600 544032640 559388400 578034680 680040800 693641616 722543350 745851200 816048960 867052020 895021440 924855488 1020061200 1083815025 1118776800 1156069360 1360081600 1387283232 1445086700 1491702400 1632097920 1734104040 1849710976 2040122400 2167630050 2237553600 2312138720 2720163200 2774566464 2890173400 3468208080 4080244800 4335260100 4475107200 4624277440 5549132928 5780346800 6936416160 8160489600 8670520200 9248554880 11560693600 13872832320 17341040400 23121387200 27745664640 34682080800 46242774400 69364161600 138728323200
- Sum of all divisors σ(n): 501364696320
- Sum of proper divisors (its aliquot sum) s(n): 362636373120
- 138728323200 is an abundant number, because the sum of its proper divisors (362636373120) is greater than itself. Its abundance is 223908049920
Bases of 138728323200
- Binary: 100000010011001101101000111000100000002
- Hexadecimal: 0x204CDA3880
- Base-36: 1RQB9F9C
Squares and roots of 138728323200
- 138728323200 squared (1387283232002) is 19245547657883658240000
- 138728323200 cubed (1387283232003) is 2669902555643887168317063168000000
-
The
square root of 138728323200 is 372462.5124760879 -
The
cube root of 138728323200 is 5176.7244140079
Scales and comparisons
How big is 138728323200?- 138,728,323,200 seconds is equal to 4,411 years, 6 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 138,728,323,200 would take you about eight thousand, eight hundred twenty-two 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 138728323200 cubic inches would be around 431.4 feet tall.
Recreational maths with 138728323200
- 138728323200 backwards is 002323827831
- The number of decimal digits it has is: 12
- The sum of 138728323200's digits is 39
- More coming soon!
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