138216960960000
138,216,960,960,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138216960960000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1500 divisors.
138216960960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred divisors.
Prime factorization of 138216960960000:
29 × 3 × 54 × 134 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 71 × 71)See below for interesting mathematical facts about the number 138216960960000 from the Numbermatics database.
Names of 138216960960000
- Cardinal: 138216960960000 can be written as One hundred thirty-eight trillion, two hundred sixteen billion, nine hundred sixty million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3821696096 × 1014
Factors of 138216960960000
Divisors of 138216960960000
- Number of divisors d(n): 1500
-
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 71 75 78 80 96 100 104 120 125 128 130 142 150 156 160 169 192 195 200 208 213 240 250 256 260 284 300 312 320 325 338 355 375 384 390 400 416 426 480 500 507 512 520 568 600 624 625 640 650 676 710 750 768 780 800 832 845 852 923 960 975 1000 1014 1040 1065 1136 1200 1248 1250 1280 1300 1352 1420 1500 1536 1560 1600 1625 1664 1690 1704 1775 1846 1875 1920 1950 2000 2028 2080 2130 2197 2272 2400 2496 2500 2535 2560 2600 2704 2769 2840 3000 3120 3200 3250 3328 3380 3408 3550 3692 3750 3840 3900 4000 4056 4160 4225 4260 4394 4544 4615 4800 4875 4992 5000 5041 5070 5200 5325 5408 5538 5680 6000 6240 6400 6500 6591 6656 6760 6816 7100 7384 7500 7680 7800 8000 8112 8125 8320 8450 8520 8788 8875 9088 9230 9600 9750 9984 10000 10082 10140 10400 10650 10816 10985 11076 11360 11999 12000 12480 12675 12800 13000 13182 13520 13632 13845 14200 14768 15000 15123 15600 16000 16224 16250 16640 16900 17040 17576 17750 18176 18460 19200 19500 19968 20000 20164 20280 20800 21125 21300 21632 21970 22152 22720 23075 23998 24000 24375 24960 25205 25350 26000 26364 26625 27040 27264 27690 28400 28561 29536 30000 30246 31200 32000 32448 32500 32955 33280 33800 34080 35152 35500 35997 36352 36920 38400 39000 40000 40328 40560 41600 42250 42600 43264 43940 44304 44375 45440 46150 47996 48000 48750 49920 50410 50700 52000 52728 53250 54080 54528 54925 55380 56800 57122 59072 59995 60000 60492 62400 63375 64000 64896 65000 65533 65910 67600 68160 69225 70304 71000 71994 73840 75615 78000 80000 80656 81120 83200 84500 85200 85683 86528 87880 88608 88750 90880 92300 95992 96000 97500 99840 100820 101400 104000 105456 105625 106500 108160 109056 109850 110760 113600 114244 115375 118144 119990 120000 120984 124800 126025 126750 129792 130000 131066 131820 133125 135200 136320 138450 140608 142000 142805 143988 147680 151230 155987 156000 160000 161312 162240 164775 166400 169000 170400 171366 175760 177216 177500 179985 181760 184600 191984 192000 195000 196599 201640 202800 208000 210912 211250 213000 216320 219700 221520 227200 228488 230750 236288 239980 240000 241968 249600 252050 253500 259584 260000 262132 263640 266250 270400 272640 274625 276900 281216 284000 285610 287976 295360 299975 302460 311974 312000 316875 320000 322624 324480 327665 329550 338000 340800 342732 346125 351520 354432 355000 359970 369200 378075 383968 390000 393198 403280 405600 416000 421824 422500 426000 428415 432640 439400 443040 454400 456976 461500 467961 472576 479960 480000 483936 499200 504100 507000 520000 524264 527280 532500 540800 545280 549250 553800 562432 568000 571220 575952 576875 590720 599950 604920 623948 624000 630125 633750 645248 648960 655330 659100 676000 681600 685464 692250 703040 708864 710000 714025 719940 738400 756150 767936 779935 780000 786396 806560 811200 823875 832000 843648 845000 851929 852000 856830 878800 886080 899925 908800 913952 923000 935922 959920 960000 967872 982995 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276433921920 287952002000 324452960000 332252310000 345542402400 354402464000 359940002500 368578562560 389343552000 408925920000 425282956800 431928003000 443003080000 460723203200 486679440000 531603696000 539910003750 552867843840 575904004000 648905920000 664504620000 691084804800 708804928000 719880005000 817851840000 863856006000 886006160000 921446406400 973358880000 1063207392000 1079820007500 1105735687680 1151808008000 1329009240000 1382169609600 1439760010000 1727712012000 1772012320000 1842892812800 1946717760000 2126414784000 2159640015000 2303616016000 2658018480000 2764339219200 2879520020000 3455424024000 3544024640000 4319280030000 4607232032000 5316036960000 5528678438400 5759040040000 6910848048000 8638560060000 9214464064000 10632073920000 11518080080000 13821696096000 17277120120000 23036160160000 27643392192000 34554240240000 46072320320000 69108480480000 138216960960000
- Sum of all divisors σ(n): 505588046470716
- Sum of proper divisors (its aliquot sum) s(n): 367371085510716
- 138216960960000 is an abundant number, because the sum of its proper divisors (367371085510716) is greater than itself. Its abundance is 229154124550716
Bases of 138216960960000
- Binary: 111110110110101001001001101110000100110000000002
- Hexadecimal: 0x7DB524DC2600
- Base-36: 1CZRZTWDMO
Squares and roots of 138216960960000
- 138216960960000 squared (1382169609600002) is 19103928297018164121600000000
- 138216960960000 cubed (1382169609600003) is 2640486911611598874806059892736000000000000
-
The
square root of 138216960960000 is 11756570.9694621417 -
The
cube root of 138216960960000 is 51703.5599412801
Scales and comparisons
How big is 138216960960000?- 138,216,960,960,000 seconds is equal to 4,394,871 years, 42 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 138,216,960,960,000 would take you about ten million, nine hundred eighty-seven thousand, one 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 138216960960000 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138216960960000
- 138216960960000 backwards is 000069069612831
- The number of decimal digits it has is: 15
- The sum of 138216960960000's digits is 51
- More coming soon!
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The information we have on file for 138216960960000 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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