138304271664000
138,304,271,664,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138304271664000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2560 divisors.
138304271664000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138304271664000:
27 × 34 × 53 × 13 × 17 × 29 × 16651
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 29 × 16651)See below for interesting mathematical facts about the number 138304271664000 from the Numbermatics database.
Names of 138304271664000
- Cardinal: 138304271664000 can be written as One hundred thirty-eight trillion, three hundred four billion, two hundred seventy-one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38304271664 × 1014
Factors of 138304271664000
Divisors of 138304271664000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 29 30 32 34 36 39 40 45 48 50 51 52 54 58 60 64 65 68 72 75 78 80 81 85 87 90 96 100 102 104 108 116 117 120 125 128 130 135 136 144 145 150 153 156 160 162 170 174 180 192 195 200 204 208 216 221 225 232 234 240 250 255 260 261 270 272 288 290 300 306 312 320 324 325 340 348 351 360 375 377 384 390 400 405 408 416 425 432 435 442 450 459 464 468 480 493 500 510 520 522 540 544 576 580 585 600 612 624 640 648 650 663 675 680 696 702 720 725 750 754 765 780 783 800 810 816 832 850 864 870 884 900 918 928 936 960 975 986 1000 1020 1040 1044 1053 1080 1088 1105 1125 1131 1152 1160 1170 1200 1224 1248 1275 1296 1300 1305 1326 1350 1360 1377 1392 1404 1440 1450 1479 1500 1508 1530 1560 1566 1600 1620 1625 1632 1664 1700 1728 1740 1755 1768 1800 1836 1856 1872 1885 1920 1950 1972 1989 2000 2025 2040 2080 2088 2106 2125 2160 2175 2176 2210 2250 2262 2295 2320 2340 2349 2400 2448 2465 2496 2550 2592 2600 2610 2652 2700 2720 2754 2784 2808 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162710907840 166231095750 169490529000 170746014400 172880339580 176633808000 177313168800 180789897600 183427416000 184405695552 190764512640 192089266200 197014632000 198713034000 203388634800 204895217280 208603728000 212775802560 213432518000 216100424475 221641461000 225987372000 230507119440 236417558400 238455640800 240111582750 254235793500 256119021600 264950712000 265969753200 271184846400 276608543328 280536048000 288133899300 295521948000 298069551000 301316496000 307342825920 312905592000 317940854400 320148777000 325421815680 332462191500 338981058000 341492028800 345760679160 354626337600 360167374125 366854832000 368811391104 384178532400 394029264000 397426068000 406777269600 425551605120 426865036000 432200848950 443282922000 451974744000 461014238880 476911281600 480223165500 508471587000 512238043200 529901424000 531939506400 542369692800 553217086656 576267798600 591043896000 596139102000 614685651840 625811184000 640297554000 664924383000 677962116000 691521358320 709252675200 720334748250 768357064800 794852136000 813554539200 853730072000 864401697900 886565844000 903949488000 922028477760 953822563200 960446331000 1016943174000 1024476086400 1063879012800 1080502122375 1106434173312 1152535597200 1182087792000 1192278204000 1280595108000 1329848766000 1355924232000 1383042716640 1440669496500 1536714129600 1589704272000 1627109078400 1707460144000 1728803395800 1773131688000 1844056955520 1920892662000 2033886348000 2127758025600 2161004244750 2305071194400 2384556408000 2561190216000 2659697532000 2711848464000 2766085433280 2881338993000 3073428259200 3457606791600 3546263376000 3841785324000 4067772696000 4322008489500 4610142388800 4769112816000 5122380432000 5319395064000 5532170866560 5762677986000 6915213583200 7683570648000 8135545392000 8644016979000 9220284777600 10638790128000 11525355972000 13830427166400 15367141296000 17288033958000 23050711944000 27660854332800 34576067916000 46101423888000 69152135832000 138304271664000
- Sum of all divisors σ(n): 605952172425600
- Sum of proper divisors (its aliquot sum) s(n): 467647900761600
- 138304271664000 is an abundant number, because the sum of its proper divisors (467647900761600) is greater than itself. Its abundance is 329343629097600
Bases of 138304271664000
- Binary: 111110111001001011110001111101111000011100000002
- Hexadecimal: 0x7DC978FBC380
- Base-36: 1D0W3SFS00
Squares and roots of 138304271664000
- 138304271664000 squared (1383042716640002) is 19128071560509513328896000000
- 138304271664000 cubed (1383042716640003) is 2645494005513140145696061365202944000000000
-
The
square root of 138304271664000 is 11760283.6557627299 -
The
cube root of 138304271664000 is 51714.4445774697
Scales and comparisons
How big is 138304271664000?- 138,304,271,664,000 seconds is equal to 4,397,648 years, 1 week, 6 days.
-
To count from 1 to 138,304,271,664,000 would take you about ten million, nine hundred ninety-four thousand, one hundred twenty 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 138304271664000 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138304271664000
- 138304271664000 backwards is 000466172403831
- 138304271664000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138304271664000's digits is 45
- More coming soon!
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The information we have on file for 138304271664000 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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