138463728000
138,463,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138463728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
138463728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138463728000:
27 × 3 × 53 × 134 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 101)See below for interesting mathematical facts about the number 138463728000 from the Numbermatics database.
Names of 138463728000
- Cardinal: 138463728000 can be written as One hundred thirty-eight billion, four hundred sixty-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38463728 × 1011
Factors of 138463728000
Divisors of 138463728000
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 101 104 120 125 128 130 150 156 160 169 192 195 200 202 208 240 250 260 300 303 312 320 325 338 375 384 390 400 404 416 480 500 505 507 520 600 606 624 640 650 676 750 780 800 808 832 845 960 975 1000 1010 1014 1040 1200 1212 1248 1300 1313 1352 1500 1515 1560 1600 1616 1625 1664 1690 1920 1950 2000 2020 2028 2080 2197 2400 2424 2496 2525 2535 2600 2626 2704 3000 3030 3120 3200 3232 3250 3380 3900 3939 4000 4040 4056 4160 4225 4394 4800 4848 4875 4992 5050 5070 5200 5252 5408 6000 6060 6240 6464 6500 6565 6591 6760 7575 7800 7878 8000 8080 8112 8320 8450 8788 9600 9696 9750 10100 10140 10400 10504 10816 10985 12000 12120 12480 12625 12675 12928 13000 13130 13182 13520 15150 15600 15756 16000 16160 16224 16900 17069 17576 19392 19500 19695 20200 20280 20800 21008 21125 21632 21970 24000 24240 24960 25250 25350 26000 26260 26364 27040 28561 30300 31200 31512 32320 32448 32825 32955 33800 34138 35152 37875 38784 39000 39390 40400 40560 41600 42016 42250 43940 48000 48480 50500 50700 51207 52000 52520 52728 54080 54925 57122 60600 62400 63024 63375 64640 64896 65650 65910 67600 68276 70304 75750 78000 78780 80800 81120 84032 84500 85345 85683 87880 96960 98475 101000 101400 102414 104000 105040 105456 108160 109850 114244 121200 124800 126048 126750 131300 131820 135200 136552 140608 142805 151500 156000 157560 161600 162240 164125 164775 168064 169000 170690 171366 175760 193920 196950 202000 202800 204828 208000 210080 210912 219700 221897 228488 242400 252096 253500 256035 262600 263640 270400 273104 274625 281216 285610 303000 312000 315120 323200 324480 328250 329550 338000 341380 342732 351520 393900 404000 405600 409656 420160 421824 426725 428415 439400 443794 456976 484800 492375 504192 507000 512070 525200 527280 540800 546208 549250 571220 606000 624000 630240 656500 659100 665691 676000 682760 685464 703040 714025 787800 808000 811200 819312 823875 840320 843648 853450 856830 878800 887588 913952 969600 984750 1014000 1024140 1050400 1054560 1092416 1098500 1109485 1142440 1212000 1260480 1280175 1313000 1318200 1331382 1352000 1365520 1370928 1406080 1428050 1575600 1616000 1622400 1638624 1647750 1706900 1713660 1757600 1775176 1827904 1969500 2028000 2048280 2100800 2109120 2133625 2142075 2184832 2197000 2218970 2284880 2424000 2520960 2560350 2626000 2636400 2662764 2704000 2731040 2741856 2856100 2884661 3151200 3277248 3295500 3328455 3413800 3427320 3515200 3550352 3570125 3655808 3939000 4056000 4096560 4201600 4218240 4267250 4284150 4394000 4437940 4569760 4848000 5120700 5252000 5272800 5325528 5462080 5483712 5547425 5712200 5769322 6302400 6400875 6554496 6591000 6656910 6827600 6854640 7030400 7100704 7140250 7878000 8112000 8193120 8534500 8568300 8653983 8788000 8875880 9139520 10241400 10504000 10545600 10651056 10710375 10924160 10967424 11094850 11424400 11538644 12604800 12801750 13182000 13313820 13655200 13709280 14201408 14280500 14423305 15756000 16386240 16642275 17069000 17136600 17307966 17576000 17751760 18279040 20482800 21008000 21091200 21302112 21420750 22189700 22848800 23077288 25603500 26364000 26627640 27310400 27418560 27737125 28402816 28561000 28846610 31512000 32772480 33284550 34138000 34273200 34615932 35152000 35503520 40965600 42604224 42841500 43269915 44379400 45697600 46154576 51207000 52728000 53255280 54620800 54837120 55474250 57122000 57693220 63024000 66569100 68276000 68546400 69231864 71007040 72116525 81931200 83211375 85208448 85683000 86539830 88758800 91395200 92309152 102414000 105456000 106510560 110948500 114244000 115386440 133138200 136552000 137092800 138463728 142014080 144233050 163862400 166422750 171366000 173079660 177517600 184618304 204828000 213021120 216349575 221897000 228488000 230772880 266276400 273104000 274185600 276927456 288466100 332845500 342732000 346159320 355035200 360582625 369236608 409656000 426042240 432699150 443794000 456976000 461545760 532552800 553854912 576932200 665691000 685464000 692318640 710070400 721165250 819312000 865398300 887588000 923091520 1065105600 1081747875 1107709824 1153864400 1331382000 1370928000 1384637280 1442330500 1730796600 1775176000 1846183040 2130211200 2163495750 2307728800 2662764000 2769274560 2884661000 3461593200 3550352000 4326991500 4615457600 5325528000 5538549120 5769322000 6923186400 8653983000 9230915200 10651056000 11538644000 13846372800 17307966000 23077288000 27692745600 34615932000 46154576000 69231864000 138463728000
- Sum of all divisors σ(n): 502179855840
- Sum of proper divisors (its aliquot sum) s(n): 363716127840
- 138463728000 is an abundant number, because the sum of its proper divisors (363716127840) is greater than itself. Its abundance is 225252399840
Bases of 138463728000
- Binary: 100000001111010001010011010001100000002
- Hexadecimal: 0x203D14D180
- Base-36: 1RLXQ8AO
Squares and roots of 138463728000
- 138463728000 squared (1384637280002) is 19172203971657984000000
- 138463728000 cubed (1384637280003) is 2654654835892170805604352000000000
-
The
square root of 138463728000 is 372107.1458598987 -
The
cube root of 138463728000 is 5173.4311471097
Scales and comparisons
How big is 138463728000?- 138,463,728,000 seconds is equal to 4,402 years, 37 weeks, 2 days, 10 hours, 40 minutes.
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To count from 1 to 138,463,728,000 would take you about eight thousand, eight hundred 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 138463728000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138463728000
- 138463728000 backwards is 000827364831
- The number of decimal digits it has is: 12
- The sum of 138463728000's digits is 42
- More coming soon!
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The information we have on file for 138463728000 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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