2148438816000
2,148,438,816,000 is an even composite number composed of four prime numbers multiplied together.
2148438816000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 2148438816000:
28 × 311 × 53 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 379)See below for interesting mathematical facts about the number 2148438816000 from the Numbermatics database.
Names of 2148438816000
- Cardinal: 2148438816000 can be written as Two trillion, one hundred forty-eight billion, four hundred thirty-eight million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.148438816 × 1012
Factors of 2148438816000
Divisors of 2148438816000
- Number of divisors d(n): 864
-
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 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 379 384 400 405 432 450 480 486 500 540 576 600 640 648 675 720 729 750 758 768 800 810 864 900 960 972 1000 1080 1125 1137 1152 1200 1215 1280 1296 1350 1440 1458 1500 1516 1600 1620 1728 1800 1895 1920 1944 2000 2025 2160 2187 2250 2274 2304 2400 2430 2592 2700 2880 2916 3000 3032 3200 3240 3375 3411 3456 3600 3645 3790 3840 3888 4000 4050 4320 4374 4500 4548 4800 4860 5184 5400 5685 5760 5832 6000 6064 6075 6400 6480 6561 6750 6822 6912 7200 7290 7580 7776 8000 8100 8640 8748 9000 9096 9475 9600 9720 10125 10233 10368 10800 10935 11370 11520 11664 12000 12128 12150 12960 13122 13500 13644 14400 14580 15160 15552 16000 16200 17055 17280 17496 18000 18192 18225 18950 19200 19440 19683 20250 20466 20736 21600 21870 22740 23328 24000 24256 24300 25920 26244 27000 27288 28425 28800 29160 30320 30375 30699 31104 32000 32400 32805 34110 34560 34992 36000 36384 36450 37900 38880 39366 40500 40932 43200 43740 45480 46656 47375 48000 48512 48600 51165 51840 52488 54000 54576 54675 56850 57600 58320 59049 60640 60750 61398 62208 64800 65610 68220 69984 72000 72768 72900 75800 77760 78732 81000 81864 85275 86400 87480 90960 91125 92097 93312 94750 96000 97024 97200 98415 102330 103680 104976 108000 109152 109350 113700 116640 118098 121280 121500 122796 129600 131220 136440 139968 142125 144000 145536 145800 151600 153495 155520 157464 162000 163728 164025 170550 172800 174960 177147 181920 182250 184194 186624 189500 194400 196830 204660 209952 216000 218304 218700 227400 233280 236196 242560 243000 245592 255825 259200 262440 272880 273375 276291 279936 284250 288000 291072 291600 295245 303200 306990 311040 314928 324000 327456 328050 341100 349920 354294 363840 364500 368388 379000 388800 393660 409320 419904 426375 432000 436608 437400 454800 460485 466560 472392 485120 486000 491184 492075 511650 518400 524880 545760 546750 552582 559872 568500 583200 590490 606400 613980 629856 648000 654912 656100 682200 699840 708588 727680 729000 736776 758000 767475 777600 787320 818640 820125 828873 839808 852750 864000 873216 874800 885735 909600 920970 933120 944784 972000 982368 984150 1023300 1049760 1091520 1093500 1105164 1137000 1166400 1180980 1212800 1227960 1259712 1279125 1296000 1309824 1312200 1364400 1381455 1399680 1417176 1455360 1458000 1473552 1476225 1516000 1534950 1555200 1574640 1637280 1640250 1657746 1679616 1705500 1749600 1771470 1819200 1841940 1889568 1944000 1964736 1968300 2046600 2099520 2183040 2187000 2210328 2274000 2302425 2332800 2361960 2425600 2455920 2460375 2486619 2519424 2558250 2592000 2619648 2624400 2728800 2762910 2799360 2834352 2916000 2947104 2952450 3032000 3069900 3149280 3274560 3280500 3315492 3411000 3499200 3542940 3638400 3683880 3779136 3837375 3888000 3929472 3936600 4093200 4144365 4199040 4366080 4374000 4420656 4428675 4548000 4604850 4665600 4723920 4911840 4920750 4973238 5038848 5116500 5248800 5457600 5525820 5668704 5832000 5894208 5904900 6064000 6139800 6298560 6549120 6561000 6630984 6822000 6907275 6998400 7085880 7276800 7367760 7381125 7459857 7558272 7674750 7776000 7858944 7873200 8186400 8288730 8398080 8748000 8841312 8857350 9096000 9209700 9447840 9823680 9841500 9946476 10233000 10497600 10915200 11051640 11337408 11512125 11664000 11788416 11809800 12128000 12279600 12433095 12597120 13098240 13122000 13261968 13644000 13814550 13996800 14171760 14735520 14762250 14919714 15116544 15349500 15746400 16372800 16577460 17496000 17682624 17714700 18192000 18419400 18895680 19647360 19683000 19892952 20466000 20721825 20995200 21830400 22103280 22143375 22379571 22674816 23024250 23328000 23576832 23619600 24559200 24866190 25194240 26244000 26523936 27288000 27629100 28343520 29471040 29524500 29839428 30699000 31492800 32745600 33154920 34536375 34992000 35365248 35429400 36384000 36838800 37299285 37791360 39294720 39366000 39785904 40932000 41443650 41990400 44206560 44286750 44759142 45349632 46048500 47239200 49118400 49732380 52488000 53047872 54576000 55258200 56687040 58942080 59049000 59678856 61398000 62165475 62985600 65491200 66309840 67138713 69072750 69984000 70730496 70858800 73677600 74598570 75582720 78732000 79571808 81864000 82887300 88413120 88573500 89518284 92097000 94478400 98236800 99464760 103609125 104976000 106095744 109152000 110516400 111897855 113374080 117884160 118098000 119357712 122796000 124330950 125971200 132619680 134277426 138145500 141717600 147355200 149197140 157464000 159143616 163728000 165774600 176826240 177147000 179036568 184194000 186496425 188956800 196473600 198929520 207218250 209952000 212191488 221032800 223795710 226748160 236196000 238715424 245592000 248661900 265239360 268554852 276291000 283435200 294710400 298394280 310827375 314928000 318287232 327456000 331549200 335693565 353652480 354294000 358073136 368388000 372992850 377913600 397859040 414436500 442065600 447591420 472392000 477430848 491184000 497323800 530478720 537109704 552582000 559489275 566870400 589420800 596788560 621654750 629856000 636574464 663098400 671387130 708588000 716146272 736776000 745985700 795718080 828873000 884131200 895182840 932482125 944784000 954861696 982368000 994647600 1060957440 1074219408 1105164000 1118978550 1133740800 1193577120 1243309500 1326196800 1342774260 1417176000 1432292544 1473552000 1491971400 1591436160 1657746000 1678467825 1768262400 1790365680 1864964250 1889568000 1909723392 1989295200 2148438816 2210328000 2237957100 2387154240 2486619000 2652393600 2685548520 2797446375 2834352000 2864585088 2947104000 2983942800 3182872320 3315492000 3356935650 3580731360 3729928500 3978590400 4296877632 4420656000 4475914200 4774308480 4973238000 5304787200 5371097040 5594892750 5668704000 5729170176 5967885600 6630984000 6713871300 7161462720 7459857000 7957180800 8392339125 8593755264 8841312000 8951828400 9548616960 9946476000 10742194080 11189785500 11935771200 13261968000 13427742600 14322925440 14919714000 15914361600 16784678250 17187510528 17903656800 19892952000 21484388160 22379571000 23871542400 26523936000 26855485200 28645850880 29839428000 33569356500 35807313600 39785904000 42968776320 44759142000 47743084800 53710970400 59678856000 67138713000 71614627200 79571808000 85937552640 89518284000 107421940800 119357712000 134277426000 143229254400 179036568000 214843881600 238715424000 268554852000 358073136000 429687763200 537109704000 716146272000 1074219408000 2148438816000
- Sum of all divisors σ(n): 8049211497600
- Sum of proper divisors (its aliquot sum) s(n): 5900772681600
- 2148438816000 is an abundant number, because the sum of its proper divisors (5900772681600) is greater than itself. Its abundance is 3752333865600
Bases of 2148438816000
- Binary: 111110100001110001110111010110101000000002
- Hexadecimal: 0x1F438EEB500
- Base-36: REZ90000
Squares and roots of 2148438816000
- 2148438816000 squared (21484388160002) is 4615789346095481856000000
- 2148438816000 cubed (21484388160003) is 9916740997630791261654122496000000000
-
The
square root of 2148438816000 is 1465755.3738601813 -
The
cube root of 2148438816000 is 12903.5040778333
Scales and comparisons
How big is 2148438816000?- 2,148,438,816,000 seconds is equal to 68,313 years, 36 weeks, 6 days.
-
To count from 1 to 2,148,438,816,000 would take you about one hundred seventy thousand, seven hundred eighty-four 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 2148438816000 cubic inches would be around 1075.3 feet tall.
Recreational maths with 2148438816000
- 2148438816000 backwards is 0006188348412
- 2148438816000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2148438816000's digits is 45
- More coming soon!
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The information we have on file for 2148438816000 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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