164122066944000
164,122,066,944,000 is an even composite number composed of six prime numbers multiplied together.
164122066944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 164122066944000:
223 × 33 × 53 × 11 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 31)See below for interesting mathematical facts about the number 164122066944000 from the Numbermatics database.
Names of 164122066944000
- Cardinal: 164122066944000 can be written as One hundred sixty-four trillion, one hundred twenty-two billion, sixty-six million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.64122066944 × 1014
Factors of 164122066944000
Divisors of 164122066944000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 31 32 33 34 36 40 44 45 48 50 51 54 55 60 62 64 66 68 72 75 80 85 88 90 93 96 99 100 102 108 110 120 124 125 128 132 135 136 144 150 153 155 160 165 170 176 180 186 187 192 198 200 204 216 220 225 240 248 250 255 256 264 270 272 275 279 288 297 300 306 310 320 330 340 341 352 360 372 374 375 384 396 400 408 425 432 440 450 459 465 480 495 496 500 510 512 527 528 540 544 550 558 561 576 594 600 612 620 640 660 675 680 682 704 720 744 748 750 765 768 775 792 800 816 825 837 850 864 880 900 918 930 935 960 990 992 1000 1020 1023 1024 1054 1056 1080 1088 1100 1116 1122 1125 1152 1188 1200 1224 1240 1275 1280 1320 1350 1360 1364 1375 1395 1408 1440 1485 1488 1496 1500 1530 1536 1550 1581 1584 1600 1632 1650 1674 1683 1700 1705 1728 1760 1800 1836 1860 1870 1920 1980 1984 2000 2040 2046 2048 2108 2112 2125 2160 2176 2200 2232 2244 2250 2295 2304 2325 2376 2400 2448 2475 2480 2550 2560 2635 2640 2700 2720 2728 2750 2790 2805 2816 2880 2970 2976 2992 3000 3060 3069 3072 3100 3162 3168 3200 3264 3300 3348 3366 3375 3400 3410 3456 3520 3600 3672 3720 3740 3825 3840 3875 3960 3968 4000 4080 4092 4096 4125 4185 4216 4224 4250 4320 4352 4400 4464 4488 4500 4590 4608 4650 4675 4743 4752 4800 4896 4950 4960 5049 5100 5115 5120 5270 5280 5400 5440 5456 5500 5580 5610 5632 5760 5797 5940 5952 5984 6000 6120 6138 6144 6200 6324 6336 6375 6400 6528 6600 6696 6732 6750 6800 6820 6912 6975 7040 7200 7344 7425 7440 7480 7650 7680 7750 7905 7920 7936 8000 8160 8184 8192 8250 8370 8415 8432 8448 8500 8525 8640 8704 8800 8928 8976 9000 9180 9207 9216 9300 9350 9486 9504 9600 9792 9900 9920 10098 10200 10230 10240 10540 10560 10800 10880 10912 11000 11160 11220 11264 11475 11520 11594 11625 11880 11904 11968 12000 12240 12276 12288 12375 12400 12648 12672 12750 12800 13056 13175 13200 13392 13464 13500 13600 13640 13824 13950 14025 14080 14229 14400 14688 14850 14880 14960 15300 15345 15360 15500 15810 15840 15872 16000 16320 16368 16384 16500 16740 16830 16864 16896 17000 17050 17280 17391 17408 17600 17856 17952 18000 18360 18414 18432 18600 18700 18972 19008 19125 19200 19584 19800 19840 20196 20400 20460 20480 20925 21080 21120 21600 21760 21824 22000 22320 22440 22528 22950 23040 23188 23250 23375 23715 23760 23808 23936 24000 24480 24552 24576 24750 24800 25245 25296 25344 25500 25575 25600 26112 26350 26400 26784 26928 27000 27200 27280 27648 27900 28050 28160 28458 28800 28985 29376 29700 29760 29920 30600 30690 30720 31000 31620 31680 31744 32000 32640 32736 32768 33000 33480 33660 33728 33792 34000 34100 34560 34782 34816 34875 35200 35712 35904 36000 36720 36828 36864 37125 37200 37400 37944 38016 38250 38400 39168 39525 39600 39680 40392 40800 40920 40960 41850 42075 42160 42240 42625 43200 43520 43648 44000 44640 44880 45056 45900 46035 46080 46376 46500 46750 47430 47520 47616 47872 48000 48960 49104 49152 49500 49600 50490 50592 50688 51000 51150 51200 52173 52224 52700 52800 53568 53856 54000 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373004697600 379912192000 386169569280 402259968000 410305167360 414449664000 427401216000 437658845184 438829056000 441188352000 455894630400 466255872000 481296384000 482711961600 497339596800 512881459200 529426022400 536346624000 547073556480 552599552000 569868288000 588251136000 596807516160 603389952000 607859507200 621674496000 641101824000 643615948800 656488267776 661782528000 683841945600 729431408640 746009395200 759824384000 804519936000 820610334720 828899328000 854802432000 877658112000 882376704000 911789260800 932511744000 965423923200 994679193600 1025762918400 1058852044800 1072693248000 1094147112960 1139736576000 1206779904000 1215719014400 1243348992000 1282203648000 1312976535552 1323565056000 1367683891200 1492018790400 1519648768000 1609039872000 1641220669440 1657798656000 1709604864000 1764753408000 1823578521600 1865023488000 1930847846400 2051525836800 2188294225920 2279473152000 2413559808000 2486697984000 2564407296000 2647130112000 2735367782400 2984037580800 3039297536000 3218079744000 3282441338880 3419209728000 3647157043200 3730046976000 4103051673600 4558946304000 4827119616000 4973395968000 5128814592000 5294260224000 5470735564800 6078595072000 6564882677760 6838419456000 7460093952000 8206103347200 9117892608000 9654239232000 10257629184000 10941471129600 13676838912000 14920187904000 16412206694400 18235785216000 20515258368000 27353677824000 32824413388800 41030516736000 54707355648000 82061033472000 164122066944000
- Sum of all divisors σ(n): 723616046899200
- Sum of proper divisors (its aliquot sum) s(n): 559493979955200
- 164122066944000 is an abundant number, because the sum of its proper divisors (559493979955200) is greater than itself. Its abundance is 395371913011200
Bases of 164122066944000
- Binary: 1001010101000100101001011000000000000000000000002
- Hexadecimal: 0x9544A5800000
- Base-36: 1M6CMX5HC0
Squares and roots of 164122066944000
- 164122066944000 squared (1641220669440002) is 26936052857970817499136000000
- 164122066944000 cubed (1641220669440003) is 4420800670363009033591605254160384000000000
-
The
square root of 164122066944000 is 12811013.5018272461 -
The
cube root of 164122066944000 is 54750.6138328627
Scales and comparisons
How big is 164122066944000?- 164,122,066,944,000 seconds is equal to 5,218,574 years, 3 weeks, 3 days.
-
To count from 1 to 164,122,066,944,000 would take you about thirteen million, forty-six thousand, four hundred thirty-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 164122066944000 cubic inches would be around 4562.6 feet tall.
Recreational maths with 164122066944000
- 164122066944000 backwards is 000449660221461
- 164122066944000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 164122066944000's digits is 45
- More coming soon!
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MLA style:
"Number 164122066944000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 164122066944000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/164122066944000/
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The information we have on file for 164122066944000 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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