137307098054925568

Names of 137307098054925568

• Cardinal: 137307098054925568 can be written as One hundred thirty-seven quadrillion, three hundred seven trillion, ninety-eight billion, fifty-four million, nine hundred twenty-five thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37307098054925568 × 10¹⁷

Factors of 137307098054925568

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 182600

Divisors of 137307098054925568

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 121 128 133 152 154 176 209 224 242 256 266 304 308 352 418 448 484 532 608 616 704 836 847 896 968 1064 1216 1232 1408 1463 1672 1694 1792 1936 2128 2299 2432 2464 2816 2926 3344 3388 3872 4256 4598 4864 4928 5852 6688 6776 7744 8512 9196 9856 11704 13376 13552 15488 16093 17024 18392 19712 23408 26752 27104 30976 32186 34048 36784 46816 53504 54208 64372 73568 93632 108416 128744 147136 182561 187264 216832 257488 294272 365122 374528 514976 588544 730244 1029952 1277927 1460488 2008171 2059904 2555854 2920976 3468659 4016342 4119808 5111708 5841952 6937318 8032684 10223416 11683904 13874636 14057197 16065368 20446832 22089881 23367808 24280613 27749272 28114394 32130736 38155249 40893664 44179762 46735616 48561226 55498544 56228788 64261472 76310498 81787328 88359524 97122452 110997088 112457576 128522944 152620996 154629167 163574656 176719048 194244904 221994176 224915152 257045888 267086743 305241992 309258334 327149312 353438096 388489808 419707739 443988352 449830304 514091776 534173486 610483984 618516668 706876192 776979616 839415478 887976704 899660608 1068346972 1220967968 1237033336 1413752384 1553959232 1678830956 1799321216 2136693944 2441935936 2474066672 2827504768 2937954173 3107918464 3357661912 3598642432 4273387888 4883871872 4948133344 5655009536 5875908346 6215836928 6715323824 8546775776 9767743744 9896266688 11751816692 13430647648 17093551552 19792533376 23503633384 26861295296 33328518721 34187103104 39585066752 47007266768 53722590592 66657037442 68374206208 94014533536 107445181184 133314074884 188029067072 233299631047 266628149768 366613705931 376058134144 466599262094 533256299536 633241855699 733227411862 752116268288 933198524188 1066512599072 1266483711398 1466454823724 1866397048376 2133025198144 2532967422796 2566295941517 2932909647448 3732794096752 4032750765241 4266050396288 4432692989893 5065934845592 5132591883034 5865819294896 6965660412689 7465588193504 8065501530482 8532100792576 8865385979786 10131869691184 10265183766068 11731638589792 13931320825378 14931176387008 16131003060964 17730771959572 20263739382368 20530367532136 23463277179584 27862641650756 28229255356687 29862352774016 32262006121928 35461543919144 40527478764736 41060735064272 46926554359168 48759622888823 55725283301512 56458510713374 59724705548032 64524012243856 70923087838288 76622264539579 81054957529472 82121470128544 93853108718336 97519245777646 111450566603024 112917021426748 129048024487712 141846175676576 153244529079158 162109915058944 164242940257088 195038491555292 222901133206048 225834042853496 258096048975424 283692351353152 306489058158316 328485880514176 390076983110584 445802266412096 451668085706992 516192097950848 536355851777053 567384702706304 612978116316632 656971761028352 780153966221168 891604532824192 903336171413984 1032384195901696 1072711703554106 1134769405412608 1225956232633264 1560307932442336 1783209065648384 1806672342827968 2145423407108212 2451912465266528 3120615864884672 3613344685655936 4290846814216424 4903824930533056 6241231729769344 7226689371311872 8581693628432848 9807649861066112 12482463459538688 17163387256865696 19615299722132224 34326774513731392 68653549027462784 137307098054925568
• Sum of all divisors σ(n): 362418964047444640
• Sum of proper divisors (its aliquot sum) s(n): 225111865992519072
• 137307098054925568 is an abundant number, because the sum of its proper divisors (225111865992519072) is greater than itself. Its abundance is 87804767937593504

Bases of 137307098054925568

• Binary: 111100111110100000001010000000100101101000001110100000000₂
• Hexadecimal: 0x1E7D01404B41D00
• Base-36: 11JZAY1LOS1S

Squares and roots of 137307098054925568

• 137307098054925568 squared (137307098054925568²) is 18853239176264944699180146020122624
• 137307098054925568 cubed (137307098054925568³) is 2588683560228374906171113035330345760063326552850432
• The square root of 137307098054925568 is 370549724.1328423497
• The cube root of 137307098054925568 is 515898.5764729033

Scales and comparisons

• 137,307,098,054,925,568 seconds is equal to 4,365,940,999 years, 21 weeks, 20 hours, 39 minutes, 28 seconds.
• To count from 1 to 137,307,098,054,925,568 would take you about thirteen billion, ninety-seven million, eight hundred twenty-two thousand, nine hundred ninety-eight 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 137307098054925568 cubic inches would be around 42991.5 feet tall.

Recreational maths with 137307098054925568

• 137307098054925568 backwards is 865529450890703731
• The number of decimal digits it has is: 18
• The sum of 137307098054925568's digits is 82
• More coming soon!