138137479072448000
138,137,479,072,448,000 is an even composite number composed of eight prime numbers multiplied together.
138137479072448000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138137479072448000:
29 × 53 × 19 × 23 × 89 × 193 × 421 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 23 × 89 × 193 × 421 × 683)See below for interesting mathematical facts about the number 138137479072448000 from the Numbermatics database.
Names of 138137479072448000
- Cardinal: 138137479072448000 can be written as One hundred thirty-eight quadrillion, one hundred thirty-seven trillion, four hundred seventy-nine billion, seventy-two million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38137479072448 × 1017
Factors of 138137479072448000
Divisors of 138137479072448000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 50 64 76 80 89 92 95 100 115 125 128 152 160 178 184 190 193 200 230 250 256 304 320 356 368 380 386 400 421 437 445 460 475 500 512 575 608 640 683 712 736 760 772 800 842 874 890 920 950 965 1000 1150 1216 1280 1366 1424 1472 1520 1544 1600 1684 1691 1748 1780 1840 1900 1930 2000 2047 2105 2185 2225 2300 2375 2432 2560 2732 2848 2875 2944 3040 3088 3200 3368 3382 3415 3496 3560 3667 3680 3800 3860 4000 4094 4210 4370 4439 4450 4600 4750 4825 4864 5464 5696 5750 5888 6080 6176 6400 6736 6764 6830 6992 7120 7334 7360 7600 7720 7999 8000 8188 8420 8455 8740 8878 8900 9200 9500 9650 9683 9728 10235 10525 10925 10928 11125 11392 11500 11776 12160 12352 12800 12977 13472 13528 13660 13984 14240 14668 14720 15200 15440 15709 15998 16000 16376 16840 16910 17075 17177 17480 17756 17800 18335 18400 19000 19300 19366 20470 21050 21850 21856 22195 22250 22784 23000 24125 24320 24704 25954 26944 27056 27320 27968 28480 29336 29440 30400 30880 31418 31996 32000 32752 33680 33820 34150 34354 34960 35512 35600 36670 36800 37469 38000 38600 38732 38893 39995 40940 42100 42275 43700 43712 44390 44500 45568 46000 48250 48415 48640 49408 51175 51908 52625 53888 54112 54625 54640 55936 56960 58672 58880 60787 60800 61760 62836 63992 64000 64885 65504 67360 67640 68300 68708 69920 71024 71200 73340 73600 74938 76000 77200 77464 77786 78545 79990 81253 81880 84200 84341 84550 85375 85885 87400 87424 88780 89000 91675 92000 96500 96830 98816 102350 103816 105250 107776 108224 109250 109280 110975 111872 113920 117344 121574 121600 123520 125672 127984 129770 131008 131819 134720 135280 136600 137416 139840 142048 142400 146680 147200 149876 152000 154400 154928 155572 157090 159980 162506 163760 168400 168682 169100 170750 171770 174800 174848 177560 178000 183350 183977 184000 187345 193000 193660 194465 199975 204700 207632 210500 211375 215552 216448 218500 218560 221950 223744 227840 234688 242075 243148 243200 247040 251344 255875 255968 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28399975138250 28629529341440 29081574541568 30029886754880 31042130128640 31119053632000 31610407110400 32811752748800 33741445792000 34534369768112 35786911676800 36351968176960 37537358443600 37670433344000 38802662660800 39513008888000 40450213491200 40844908064000 41014690936000 43167962210140 44733639596000 45439960221200 46921698054500 48047818807808 48503328326000 50562766864000 53959952762675 56799950276500 58163149083136 60059773509760 62084260257280 63220814220800 65623505497600 67482891584000 69068739536224 71573823353600 72703936353920 75074716887200 77605325321600 79026017776000 81689816128000 82029381872000 86335924420280 89467279192000 90879920442400 93843396109000 97006656652000 101125533728000 107919905525350 113599900553000 120119547019520 138137479072448 143147646707200 145407872707840 150149433774400 155210650643200 158052035552000 164058763744000 172671848840560 178934558384000 181759840884800 187686792218000 194013313304000 202251067456000 215839811050700 227199801106000 240239094039040 269799763813375 276274958144896 290815745415680 300298867548800 310421301286400 316104071104000 328117527488000 345343697681120 357869116768000 363519681769600 375373584436000 388026626608000 431679622101400 454399602212000 539599527626750 552549916289792 600597735097600 690687395362240 715738233536000 727039363539200 750747168872000 776053253216000 863359244202800 908799204424000 1079199055253500 1105099832579584 1201195470195200 1381374790724480 1454078727078400 1501494337744000 1552106506432000 1726718488405600 1817598408848000 2158398110507000 2762749581448960 3002988675488000 3453436976811200 3635196817696000 4316796221014000 5525499162897920 6005977350976000 6906873953622400 7270393635392000 8633592442028000 13813747907244800 17267184884056000 27627495814489600 34534369768112000 69068739536224000 138137479072448000
- Sum of all divisors σ(n): 386059515666739200
- Sum of proper divisors (its aliquot sum) s(n): 247922036594291200
- 138137479072448000 is an abundant number, because the sum of its proper divisors (247922036594291200) is greater than itself. Its abundance is 109784557521843200
Bases of 138137479072448000
- Binary: 1111010101100001101001110001010100100011111111110000000002
- Hexadecimal: 0x1EAC34E2A47FE00
- Base-36: 11S5NDTFPVCW
Squares and roots of 138137479072448000
- 138137479072448000 squared (1381374790724480002) is 19081963124491009162432712704000000
- 138137479072448000 cubed (1381374790724480003) is 2635934281770601228307481071861758385979392000000000
-
The
square root of 138137479072448000 is 371668506.9688417923 -
The
cube root of 138137479072448000 is 516936.4730227951
Scales and comparisons
How big is 138137479072448000?- 138,137,479,072,448,000 seconds is equal to 4,392,344,547 years, 11 weeks, 5 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,137,479,072,448,000 would take you about thirteen billion, one hundred seventy-seven million, thirty-three thousand, six hundred forty-one 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 138137479072448000 cubic inches would be around 43078 feet tall.
Recreational maths with 138137479072448000
- 138137479072448000 backwards is 000844270974731831
- The number of decimal digits it has is: 18
- The sum of 138137479072448000's digits is 68
- More coming soon!
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"Number 138137479072448000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138137479072448000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138137479072448000/
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The information we have on file for 138137479072448000 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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