1338283629648
1,338,283,629,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 1338283629648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
1338283629648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 1338283629648:
24 × 32 × 7 × 181 × 307 × 23893
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 181 × 307 × 23893)See below for interesting mathematical facts about the number 1338283629648 from the Numbermatics database.
Names of 1338283629648
- Cardinal: 1338283629648 can be written as One trillion, three hundred thirty-eight billion, two hundred eighty-three million, six hundred twenty-nine thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.338283629648 × 1012
Factors of 1338283629648
Divisors of 1338283629648
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 181 252 307 336 362 504 543 614 724 921 1008 1086 1228 1267 1448 1629 1842 2149 2172 2456 2534 2763 2896 3258 3684 3801 4298 4344 4912 5068 5526 6447 6516 7368 7602 8596 8688 10136 11052 11403 12894 13032 14736 15204 17192 19341 20272 22104 22806 23893 25788 26064 30408 34384 38682 44208 45612 47786 51576 55567 60816 71679 77364 91224 95572 103152 111134 143358 154728 166701 167251 182448 191144 215037 222268 286716 309456 333402 334502 382288 388969 430074 444536 500103 501753 573432 666804 669004 777938 860148 889072 1000206 1003506 1146864 1166907 1333608 1338008 1505259 1555876 1720296 2000412 2007012 2333814 2667216 2676016 3010518 3111752 3440592 3500721 4000824 4014024 4324633 4667628 6021036 6223504 7001442 7335151 8001648 8028048 8649266 9335256 12042072 12973899 14002884 14670302 17298532 18670512 22005453 24084144 25947798 28005768 29340604 30272431 34597064 38921697 44010906 51346057 51895596 56011536 58681208 60544862 66016359 69194128 77843394 88021812 90817293 102692114 103791192 117362416 121089724 132032718 154038171 155686788 176043624 181634586 205384228 207582384 242179448 264065436 272451879 308076342 311373576 352087248 363269172 410768456 462114513 484358896 528130872 544903758 616152684 622747152 726538344 821536912 924229026 1056261744 1089807516 1232305368 1327662331 1453076688 1848458052 2179615032 2464610736 2655324662 3696916104 3982986993 4359230064 5310649324 7393832208 7965973986 9293636317 10621298648 11948960979 15931947972 18587272634 21242597296 23897921958 27880908951 31863895944 37174545268 47795843916 55761817902 63727791888 74349090536 83642726853 95591687832 111523635804 148698181072 167285453706 191183375664 223047271608 334570907412 446094543216 669141814824 1338283629648
- Sum of all divisors σ(n): 4318232254336
- Sum of proper divisors (its aliquot sum) s(n): 2979948624688
- 1338283629648 is an abundant number, because the sum of its proper divisors (2979948624688) is greater than itself. Its abundance is 1641664995040
Bases of 1338283629648
- Binary: 100110111100101111110101110011100010100002
- Hexadecimal: 0x13797EB9C50
- Base-36: H2SRIPG0
Squares and roots of 1338283629648
- 1338283629648 squared (13382836296482) is 1791003073383825224603904
- 1338283629648 cubed (13382836296483) is 2396870093758828923037371478230945792
-
The
square root of 1338283629648 is 1156842.0936532349 -
The
cube root of 1338283629648 is 11020.0286055847
Scales and comparisons
How big is 1338283629648?- 1,338,283,629,648 seconds is equal to 42,553 years, 14 weeks, 3 days, 20 hours, 40 minutes, 48 seconds.
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To count from 1 to 1,338,283,629,648 would take you about one hundred six thousand, three hundred eighty-three 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 1338283629648 cubic inches would be around 918.3 feet tall.
Recreational maths with 1338283629648
- 1338283629648 backwards is 8469263828331
- 1338283629648 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1338283629648's digits is 63
- More coming soon!
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