40135288128000
40,135,288,128,000 is an even composite number composed of five prime numbers multiplied together.
40135288128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 40135288128000:
29 × 3 × 53 × 135 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 563)See below for interesting mathematical facts about the number 40135288128000 from the Numbermatics database.
Names of 40135288128000
- Cardinal: 40135288128000 can be written as Forty trillion, one hundred thirty-five billion, two hundred eighty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.0135288128 × 1013
Factors of 40135288128000
Divisors of 40135288128000
- Number of divisors d(n): 960
-
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 96 100 104 120 125 128 130 150 156 160 169 192 195 200 208 240 250 256 260 300 312 320 325 338 375 384 390 400 416 480 500 507 512 520 563 600 624 640 650 676 750 768 780 800 832 845 960 975 1000 1014 1040 1126 1200 1248 1280 1300 1352 1500 1536 1560 1600 1625 1664 1689 1690 1920 1950 2000 2028 2080 2197 2252 2400 2496 2535 2560 2600 2704 2815 3000 3120 3200 3250 3328 3378 3380 3840 3900 4000 4056 4160 4225 4394 4504 4800 4875 4992 5070 5200 5408 5630 6000 6240 6400 6500 6591 6656 6756 6760 7319 7680 7800 8000 8112 8320 8445 8450 8788 9008 9600 9750 9984 10140 10400 10816 10985 11260 12000 12480 12675 12800 13000 13182 13512 13520 14075 14638 15600 16000 16224 16640 16890 16900 17576 18016 19200 19500 19968 20280 20800 21125 21632 21957 21970 22520 24000 24960 25350 26000 26364 27024 27040 28150 28561 29276 31200 32000 32448 32955 33280 33780 33800 35152 36032 36595 38400 39000 40560 41600 42225 42250 43264 43914 43940 45040 48000 49920 50700 52000 52728 54048 54080 54925 56300 57122 58552 62400 63375 64000 64896 65910 67560 67600 70304 70375 72064 73190 78000 81120 83200 84450 84500 85683 86528 87828 87880 90080 95147 96000 99840 101400 104000 105456 108096 108160 109785 109850 112600 114244 117104 124800 126750 129792 131820 135120 135200 140608 140750 142805 144128 146380 156000 162240 164775 166400 168900 169000 171366 175656 175760 180160 182975 190294 192000 202800 208000 210912 211125 216192 216320 219570 219700 225200 228488 234208 249600 253500 259584 263640 270240 270400 274625 281216 281500 285441 285610 288256 292760 312000 324480 329550 337800 338000 342732 351312 351520 360320 365950 371293 380588 405600 416000 421824 422250 428415 432384 432640 439140 439400 450400 456976 468416 475735 499200 507000 527280 540480 540800 548925 549250 562432 563000 570882 571220 585520 624000 648960 659100 675600 676000 685464 702624 703040 714025 720640 731900 742586 761176 811200 823875 832000 843648 844500 856830 864768 878280 878800 900800 913952 914875 936832 951470 1014000 1054560 1080960 1081600 1097850 1098500 1113879 1124864 1126000 1141764 1142440 1171040 1236911 1248000 1297920 1318200 1351200 1352000 1370928 1405248 1406080 1427205 1428050 1441280 1463800 1485172 1522352 1622400 1647750 1687296 1689000 1713660 1756560 1757600 1801600 1827904 1829750 1856465 1873664 1902940 2028000 2109120 2142075 2161920 2163200 2195700 2197000 2227758 2252000 2283528 2284880 2342080 2378675 2473822 2496000 2636400 2702400 2704000 2741856 2744625 2810496 2812160 2854410 2856100 2927600 2970344 3044704 3244800 3295500 3374592 3378000 3427320 3513120 3515200 3570125 3603200 3655808 3659500 3710733 3712930 3747328 3805880 4056000 4218240 4284150 4323840 4391400 4394000 4455516 4504000 4567056 4569760 4684160 4757350 4947644 5272800 5404800 5408000 5483712 5489250 5569395 5620992 5624320 5708820 5712200 5855200 5940688 6089408 6184555 6489600 6591000 6756000 6854640 7026240 7030400 7136025 7140250 7206400 7311616 7319000 7421466 7425860 7611760 8112000 8436480 8568300 8782800 8788000 8911032 9008000 9134112 9139520 9282325 9368320 9514700 9895288 10545600 10710375 10809600 10816000 10967424 10978500 11138790 11241984 11417640 11424400 11710400 11881376 11893375 12178816 12369110 13182000 13512000 13709280 14052480 14060800 14272050 14280500 14623232 14638000 14842932 14851720 15223520 16079843 16224000 16872960 17136600 17565600 17576000 17822064 18016000 18268224 18279040 18553665 18564650 18736640 19029400 19790576 21091200 21420750 21619200 21934848 21957000 22277580 22835280 22848800 23420800 23762752 23786750 24357632 24738220 26364000 27024000 27418560 27846975 28104960 28121600 28544100 28561000 29276000 29685864 29703440 30447040 30922775 32159686 32448000 34273200 35131200 35152000 35644128 35680125 36032000 36536448 36558080 37107330 37129300 38058800 39581152 42182400 42841500 43869696 43914000 44555160 45670560 45697600 46411625 46841600 47525504 47573500 48239529 48715264 49476440 52728000 54048000 54837120 55693950 56209920 57088200 57122000 58552000 59371728 59406880 60894080 61845550 64319372 68546400 70262400 70304000 71288256 71360250 73072896 73116160 74214660 74258600 76117600 79162304 80399215 84364800 85683000 87828000 89110320 91341120 91395200 92768325 92823250 93683200 95051008 95147000 96479058 98952880 105456000 108096000 109674240 111387900 114176400 114244000 117104000 118743456 118813760 121788160 123691100 128638744 137092800 139234875 140524800 140608000 142576512 142720500 146145792 148429320 148517200 152235200 154613875 158324608 160798430 171366000 175656000 178220640 182682240 182790400 185536650 185646500 190102016 190294000 192958116 197905760 209037959 210912000 219348480 222775800 228352800 228488000 234208000 237486912 237627520 241197645 243576320 247382200 257277488 274185600 278469750 281049600 285153024 285441000 296858640 297034400 304470400 309227750 316649216 321596860 342732000 351312000 356441280 365364480 365580800 371073300 371293000 380588000 385916232 395811520 401996075 418075918 421824000 445551600 456705600 456976000 463841625 468416000 474973824 475255040 482395290 494764400 514554976 548371200 556939500 570306048 570882000 593717280 594068800 608940800 618455500 627113877 633298432 643193720 685464000 702624000 712882560 730728960 742146600 742586000 761176000 771832464 791623040 803992150 836151836 891103200 913411200 913952000 927683250 949947648 950510080 964790580 989528800 1029109952 1045189795 1096742400 1113879000 1141764000 1187434560 1188137600 1205988225 1217881600 1236911000 1254227754 1286387440 1370928000 1405248000 1425765120 1484293200 1485172000 1522352000 1543664928 1583246080 1607984300 1672303672 1782206400 1826822400 1827904000 1855366500 1899895296 1929581160 1979057600 2009980375 2058219904 2090379590 2227758000 2283528000 2374869120 2376275200 2411976450 2473822000 2508455508 2572774880 2741856000 2851530240 2968586400 2970344000 3044704000 3087329856 3135569385 3166492160 3215968600 3344607344 3564412800 3653644800 3710733000 3859162320 3958115200 4019960750 4116439808 4180759180 4455516000 4567056000 4749738240 4752550400 4823952900 4947644000 5016911016 5145549760 5225948975 5483712000 5937172800 5940688000 6029941125 6089408000 6174659712 6271138770 6431937200 6689214688 7128825600 7421466000 7718324640 7916230400 8039921500 8232879616 8361518360 8911032000 9134112000 9499476480 9647905800 9895288000 10033822032 10291099520 10451897950 11874345600 11881376000 12059882250 12349319424 12542277540 12863874400 13378429376 14257651200 14842932000 15436649280 15677846925 15832460800 16079843000 16723036720 17822064000 18268224000 19295811600 19790576000 20067644064 20582199040 20903795900 23748691200 23762752000 24119764500 24698638848 25084555080 25727748800 26129744875 26756858752 29685864000 30873298560 31355693850 32159686000 33446073440 35644128000 38591623200 39581152000 40135288128 41164398080 41807591800 47497382400 48239529000 50169110160 51455497600 52259489750 53513717504 59371728000 61746597120 62711387700 64319372000 66892146880 71288256000 77183246400 78389234625 79162304000 80270576256 83615183600 96479058000 100338220320 102910995200 104518979500 107027435008 118743456000 123493194240 125422775400 128638744000 133784293760 154366492800 156778469250 160541152512 167230367200 192958116000 200676440640 205821990400 209037959000 237486912000 250845550800 257277488000 267568587520 308732985600 313556938500 321082305024 334460734400 385916232000 401352881280 418075918000 501691101600 514554976000 535137175040 617465971200 627113877000 668921468800 771832464000 802705762560 836151836000 1003382203200 1029109952000 1254227754000 1337842937600 1543664928000 1605411525120 1672303672000 2006764406400 2508455508000 2675685875200 3087329856000 3344607344000 4013528812800 5016911016000 6689214688000 8027057625600 10033822032000 13378429376000 20067644064000 40135288128000
- Sum of all divisors σ(n): 144816519399552
- Sum of proper divisors (its aliquot sum) s(n): 104681231271552
- 40135288128000 is an abundant number, because the sum of its proper divisors (104681231271552) is greater than itself. Its abundance is 64545943143552
Bases of 40135288128000
- Binary: 10010010000000101110011001011110000010000000002
- Hexadecimal: 0x2480B9978200
- Base-36: E85WAAEIO
Squares and roots of 40135288128000
- 40135288128000 squared (401352881280002) is 1610841353117577744384000000
- 40135288128000 cubed (401352881280003) is 64651581835871373832292173873152000000000
-
The
square root of 40135288128000 is 6335241.7576600815 -
The
cube root of 40135288128000 is 34238.0321204303
Scales and comparisons
How big is 40135288128000?- 40,135,288,128,000 seconds is equal to 1,276,178 years, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 40,135,288,128,000 would take you about three million, one hundred ninety thousand, four hundred forty-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 40135288128000 cubic inches would be around 2853.2 feet tall.
Recreational maths with 40135288128000
- 40135288128000 backwards is 00082188253104
- The number of decimal digits it has is: 14
- The sum of 40135288128000's digits is 42
- More coming soon!
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