137135770651131008

Names of 137135770651131008

• Cardinal: 137135770651131008 can be written as One hundred thirty-seven quadrillion, one hundred thirty-five trillion, seven hundred seventy billion, six hundred fifty-one million, one hundred thirty-one thousand and eight.

Scientific notation

• Scientific notation: 1.37135770651131008 × 10¹⁷

Factors of 137135770651131008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1704

Divisors of 137135770651131008

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 17 32 34 64 68 128 136 272 353 521 544 706 811 1042 1088 1412 1622 2084 2176 2824 3244 4168 5648 6001 6488 8336 8857 11296 12002 12976 13787 16672 17714 22592 24004 25952 27574 33344 35428 45184 48008 51904 55148 66688 70856 96016 103808 110296 141712 183913 192032 220592 271441 283424 286283 367826 384064 422531 441184 542882 566848 572566 657721 735652 768128 845062 882368 1085764 1133696 1145132 1315442 1471304 1690124 1764736 2171528 2290264 2630884 2942608 3126521 3380248 4343056 4580528 4614497 4866811 5261768 5885216 6253042 6760496 7183027 8686112 9161056 9228994 9733622 10523536 11181257 11770432 12506084 13520992 14366054 17372224 18322112 18457988 19467244 21047072 22362514 23540864 25012168 27041984 28732108 34744448 36644224 36915976 38934488 42094144 44725028 50024336 54083968 57464216 73831952 77868976 84188288 89450056 95818673 100048672 114928432 147663904 149153443 155737952 178900112 191637346 200097344 220138651 229856864 232175513 295327808 298306886 311475904 342672641 357800224 383274692 400194688 440277302 459713728 464351026 590655616 596613772 622951808 685345282 715600448 766549384 880554604 919427456 928702052 1193227544 1370690564 1431200896 1533098768 1628917441 1761109208 1857404104 2386455088 2535608531 2741381128 3066197536 3257834882 3522218416 3714808208 3742357067 3946983721 4772910176 5071217062 5482762256 5825434897 6132395072 6515669764 7044436832 7429616416 7484714134 7893967442 9545820352 10142434124 10965524512 11650869794 12264790144 13031339528 14088873664 14859232832 14969428268 15787934884 19091640704 20284868248 21931049024 23301739588 26062679056 28177747328 29718465664 29938856536 31575869768 40569736496 43862098048 46603479176 52125358112 59877713072 63151739536 77708943803 81139472992 93206958352 104250716224 119755426144 120963442273 126303479072 155417887606 162278945984 178532445961 186413916704 208501432448 239510852288 241926884546 252606958144 310835775212 324557891968 357064891922 372827833408 479021704576 483853769092 505213916288 621671550424 714129783844 745655666816 967707538184 1243343100848 1321052044651 1428259567688 1935415076368 2056378518641 2486686201696 2642104089302 2856519135376 3035051581337 3870830152736 4112757037282 4973372403392 5284208178604 5713038270752 6070103162674 7741660305472 8225514074564 9946744806784 10568416357208 11426076541504 12140206325348 15483320610944 16451028149128 21136832714416 22852153083008 24280412650696 32902056298256 42273665428832 48560825301392 63021953424233 65804112596512 84547330857664 97121650602784 126043906848466 131608225193024 169094661715328 194243301205568 252087813696932 263216450386048 388486602411136 504175627393864 1008351254787728 1071373208211961 2016702509575456 2142746416423922 4033405019150912 4285492832847844 8066810038301824 8570985665695688 17141971331391376 34283942662782752 68567885325565504 137135770651131008
• Sum of all divisors σ(n): 291006918177935940
• Sum of proper divisors (its aliquot sum) s(n): 153871147526804932
• 137135770651131008 is an abundant number, because the sum of its proper divisors (153871147526804932) is greater than itself. Its abundance is 16735376875673924

Bases of 137135770651131008

• Binary: 111100111001101000100000110111111101010001111110010000000₂
• Hexadecimal: 0x1E73441BFA8FC80
• Base-36: 11IAKNBL0EWW

Squares and roots of 137135770651131008

• 137135770651131008 squared (137135770651131008²) is 18806219592079604729883909579096064
• 137135770651131008 cubed (137135770651131008³) is 2579005416794235215588413794750592407826955881152512
• The square root of 137135770651131008 is 370318471.9280568211
• The cube root of 137135770651131008 is 515683.9132523379

Scales and comparisons

• 137,135,770,651,131,008 seconds is equal to 4,360,493,317 years, 47 weeks, 4 days, 10 hours, 10 minutes, 8 seconds.
• To count from 1 to 137,135,770,651,131,008 would take you about thirteen billion, eighty-one million, four hundred seventy-nine thousand, nine hundred fifty-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 137135770651131008 cubic inches would be around 42973.7 feet tall.

Recreational maths with 137135770651131008

• 137135770651131008 backwards is 800131156077531731
• The number of decimal digits it has is: 18
• The sum of 137135770651131008's digits is 59
• More coming soon!