137081224295997696
137,081,224,295,997,696 is an even composite number composed of five prime numbers multiplied together.
137081224295997696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137081224295997696:
28 × 33 × 11 × 13 × 138687783581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 138687783581)See below for interesting mathematical facts about the number 137081224295997696 from the Numbermatics database.
Names of 137081224295997696
- Cardinal: 137081224295997696 can be written as One hundred thirty-seven quadrillion, eighty-one trillion, two hundred twenty-four billion, two hundred ninety-five million, nine hundred ninety-seven thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.37081224295997696 × 1017
Factors of 137081224295997696
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 138687783610
Divisors of 137081224295997696
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 104 108 117 128 132 143 144 156 176 192 198 208 216 234 256 264 286 288 297 312 351 352 384 396 416 429 432 468 528 572 576 594 624 702 704 768 792 832 858 864 936 1056 1144 1152 1188 1248 1287 1404 1408 1584 1664 1716 1728 1872 2112 2288 2304 2376 2496 2574 2808 2816 3168 3328 3432 3456 3744 3861 4224 4576 4752 4992 5148 5616 6336 6864 6912 7488 7722 8448 9152 9504 9984 10296 11232 12672 13728 14976 15444 18304 19008 20592 22464 25344 27456 29952 30888 36608 38016 41184 44928 54912 61776 76032 82368 89856 109824 123552 164736 247104 329472 494208 988416 138687783581 277375567162 416063350743 554751134324 832126701486 1109502268648 1248190052229 1525565619391 1664253402972 1802941186553 2219004537296 2496380104458 3051131238782 3328506805944 3605882373106 3744570156687 4438009074592 4576696858173 4992760208916 5408823559659 6102262477564 6657013611888 7211764746212 7489140313374 8876018149184 9153393716346 9985520417832 10817647119318 12204524955128 13314027223776 13730090574519 14423529492424 14978280626748 16226470678977 17752036298368 18306787432692 19832353052083 19971040835664 21635294238636 24409049910256 26628054447552 27460181149038 28847058984848 29956561253496 32452941357954 35504072596736 36613574865384 39664706104166 39942081671328 41190271723557 43270588477272 48679412036931 48818099820512 53256108895104 54920362298076 57694117969696 59497059156249 59913122506992 64905882715908 73227149730768 79329412208332 79884163342656 82380543447114 86541176954544 97358824073862 97636199641024 106512217790208 109840724596152 115388235939392 118994118312498 119826245013984 129811765431816 146454299461536 158658824416664 159768326685312 164761086894228 173082353909088 178491177468747 194717648147724 195272399282048 219681449192304 230776471878784 237988236624996 239652490027968 259623530863632 292908598923072 317317648833328 319536653370624 329522173788456 346164707818176 356982354937494 389435296295448 390544798564096 439362898384608 461552943757568 475976473249992 479304980055936 519247061727264 535473532406241 585817197846144 634635297666656 659044347576912 692329415636352 713964709874988 778870592590896 878725796769216 951952946499984 958609960111872 1038494123454528 1070947064812482 1171634395692288 1269270595333312 1318088695153824 1384658831272704 1427929419749976 1557741185181792 1757451593538432 1903905892999968 2076988246909056 2141894129624964 2538541190666624 2636177390307648 2855858839499952 3115482370363584 3514903187076864 3807811785999936 4153976493818112 4283788259249928 5077082381333248 5272354780615296 5711717678999904 6230964740727168 7615623571999872 8567576518499856 10544709561230592 11423435357999808 12461929481454336 15231247143999744 17135153036999712 22846870715999616 34270306073999424 45693741431999232 68540612147998848 137081224295997696
- Sum of all divisors σ(n): 476242753797901440
- Sum of proper divisors (its aliquot sum) s(n): 339161529501903744
- 137081224295997696 is an abundant number, because the sum of its proper divisors (339161529501903744) is greater than itself. Its abundance is 202080305205906048
Bases of 137081224295997696
- Binary: 1111001110000001010100101101011111000100111100001000000002
- Hexadecimal: 0x1E702A5AF89E100
- Base-36: 11HR8L2LIDC0
Squares and roots of 137081224295997696
- 137081224295997696 squared (1370812242959976962) is 18791262054489629025334444037308416
- 137081224295997696 cubed (1370812242959976963) is 2575929208496363315159929245387460395265413177409536
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The
square root of 137081224295997696 is 370244816.7037557543 -
The
cube root of 137081224295997696 is 515615.5323380693
Scales and comparisons
How big is 137081224295997696?- 137,081,224,295,997,696 seconds is equal to 4,358,758,912 years, 28 weeks, 2 days, 15 hours, 21 minutes, 36 seconds.
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To count from 1 to 137,081,224,295,997,696 would take you about thirteen billion, seventy-six million, two hundred seventy-six thousand, seven hundred thirty-seven 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 137081224295997696 cubic inches would be around 42968 feet tall.
Recreational maths with 137081224295997696
- 137081224295997696 backwards is 696799592422180731
- The number of decimal digits it has is: 18
- The sum of 137081224295997696's digits is 90
- More coming soon!
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