1338083128279040
1,338,083,128,279,040 is an even composite number composed of seven prime numbers multiplied together.
1338083128279040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 1338083128279040:
215 × 5 × 112 × 13 × 19 × 23 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 19 × 23 × 109 × 109)See below for interesting mathematical facts about the number 1338083128279040 from the Numbermatics database.
Names of 1338083128279040
- Cardinal: 1338083128279040 can be written as One quadrillion, three hundred thirty-eight trillion, eighty-three billion, one hundred twenty-eight million, two hundred seventy-nine thousand and forty.
Scientific notation
- Scientific notation: 1.33808312827904 × 1015
Factors of 1338083128279040
Divisors of 1338083128279040
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 23 26 32 38 40 44 46 52 55 64 65 76 80 88 92 95 104 109 110 115 121 128 130 143 152 160 176 184 190 208 209 218 220 230 242 247 253 256 260 286 299 304 320 352 368 380 416 418 436 437 440 460 484 494 506 512 520 545 572 598 605 608 640 704 715 736 760 832 836 872 874 880 920 968 988 1012 1024 1040 1045 1090 1144 1196 1199 1210 1216 1235 1265 1280 1408 1417 1430 1472 1495 1520 1573 1664 1672 1744 1748 1760 1840 1936 1976 2024 2048 2071 2080 2090 2180 2185 2288 2299 2392 2398 2420 2432 2470 2507 2530 2560 2717 2783 2816 2834 2860 2944 2990 3040 3146 3289 3328 3344 3488 3496 3520 3680 3872 3952 4048 4096 4142 4160 4180 4360 4370 4576 4598 4784 4796 4807 4840 4864 4940 5014 5060 5120 5434 5566 5632 5668 5681 5720 5888 5980 5995 6080 6292 6578 6656 6688 6976 6992 7040 7085 7360 7744 7865 7904 8096 8192 8284 8320 8360 8720 8740 9152 9196 9568 9592 9614 9680 9728 9880 10028 10120 10240 10355 10868 11132 11264 11336 11362 11440 11495 11776 11881 11960 11990 12160 12535 12584 13156 13189 13312 13376 13585 13915 13952 13984 14080 14170 14720 15488 15587 15730 15808 16192 16384 16445 16568 16640 16720 17440 17480 18304 18392 19136 19184 19228 19360 19456 19760 20056 20240 20480 20710 21736 22264 22528 22672 22724 22781 22880 22990 23552 23762 23920 23980 24035 24320 25070 25168 26312 26378 26624 26752 26923 27170 27577 27830 27904 27968 28160 28340 28405 29440 29887 30976 31174 31460 31616 32384 32591 32768 32890 33136 33280 33440 34880 34960 36179 36608 36784 38272 38368 38456 38720 38912 39520 40112 40480 40960 41420 43472 44528 45056 45344 45448 45562 45760 45980 47104 47524 47633 47840 47960 48070 48640 50140 50336 52624 52756 52877 53248 53504 53846 54340 55154 55660 55808 55936 56320 56680 56810 58880 59405 59774 61952 62348 62491 62920 63232 64768 65182 65780 65945 66272 66560 66880 69760 69920 72358 73216 73568 76544 76736 76912 77440 77824 77935 79040 80224 80960 81920 82840 86944 89056 90112 90688 90896 91124 91520 91960 94208 95048 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3041098018816 3061975121920 3068998000640 3201155809280 3216545981440 3521271390208 3636095457280 3801372523520 4181509775872 4401589237760 4475194408960 4678612336640 5146473570304 5226887219840 5288866119680 5417340600320 5529269125120 5817752731648 6082196037632 6137996001280 6402311618560 6433091962880 7042542780416 7272190914560 7602745047040 8363019551744 8803178475520 9357224673280 10292947140608 10453774439680 11058538250240 11635505463296 12164392075264 12275992002560 12866183925760 14085085560832 14544381829120 15205490094080 16726039103488 17606356951040 20585894281216 20907548879360 24328784150528 25732367851520 29088763658240 30410980188160 33452078206976 35212713902080 41815097758720 51464735703040 58177527316480 60821960376320 66904156413952 70425427804160 83630195517440 102929471406080 121643920752640 133808312827904 167260391034880 267616625655808 334520782069760 669041564139520 1338083128279040
- Sum of all divisors σ(n): 4214061516873600
- Sum of proper divisors (its aliquot sum) s(n): 2875978388594560
- 1338083128279040 is an abundant number, because the sum of its proper divisors (2875978388594560) is greater than itself. Its abundance is 1537895260315520
Bases of 1338083128279040
- Binary: 1001100000011111010110000011000101010000000000000002
- Hexadecimal: 0x4C0FAC18A8000
- Base-36: D6B6WIAM0W
Squares and roots of 1338083128279040
- 1338083128279040 squared (13380831282790402) is 1790466458185021816152103321600
- 1338083128279040 cubed (13380831282790403) is 2395792959446906954996995823924800875659264000
-
The
square root of 1338083128279040 is 36579818.5927574003 -
The
cube root of 1338083128279040 is 110194.7823865067
Scales and comparisons
How big is 1338083128279040?- 1,338,083,128,279,040 seconds is equal to 42,546,904 years, 26 weeks, 5 days, 23 hours, 17 minutes, 20 seconds.
-
To count from 1 to 1,338,083,128,279,040 would take you about one hundred twenty-seven million, six hundred forty thousand, seven hundred thirteen 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 1338083128279040 cubic inches would be around 9182.9 feet tall.
Recreational maths with 1338083128279040
- 1338083128279040 backwards is 0409728213808331
- The number of decimal digits it has is: 16
- The sum of 1338083128279040's digits is 59
- More coming soon!
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"Number 1338083128279040 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 1338083128279040 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/1338083128279040/
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The information we have on file for 1338083128279040 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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