137575997972006958

Names of 137575997972006958

• Cardinal: 137575997972006958 can be written as One hundred thirty-seven quadrillion, five hundred seventy-five trillion, nine hundred ninety-seven billion, nine hundred seventy-two million, six thousand, nine hundred fifty-eight.

Scientific notation

• Scientific notation: 1.37575997972006958 × 10¹⁷

Factors of 137575997972006958

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3693014631

Divisors of 137575997972006958

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 49 54 57 63 78 81 91 98 114 117 126 133 147 162 171 182 189 234 247 266 273 294 342 351 361 378 399 441 494 513 546 567 637 702 722 741 798 819 882 931 1026 1053 1083 1134 1197 1274 1323 1482 1539 1638 1729 1862 1911 2106 2166 2223 2394 2457 2527 2646 2793 3078 3249 3458 3591 3822 3969 4446 4693 4914 5054 5187 5586 5733 6498 6669 7182 7371 7581 7938 8379 9386 9747 10374 10773 11466 12103 13338 14079 14742 15162 15561 16758 17199 17689 19494 20007 21546 22743 24206 25137 28158 29241 31122 32851 34398 35378 36309 40014 42237 45486 46683 50274 51597 53067 58482 65702 68229 72618 75411 84474 93366 98553 103194 106134 108927 126711 136458 140049 150822 159201 197106 204687 217854 229957 253422 280098 295659 318402 326781 380133 409374 459914 477603 591318 653562 689871 760266 886977 955206 980343 1379742 1432809 1773954 1960686 2069613 2660931 2865618 4139226 5321862 6208839 12417678 18626517 37253034 3693014587 7386029174 11079043761 22158087522 25851102109 33237131283 48009189631 51702204218 66474262566 70167277153 77553306327 96018379262 99711393849 140334554306 144027568893 155106612654 180957714763 199422787698 210501831459 232659918981 288055137786 299134181547 336064327417 361915429526 421003662918 432082706679 465319837962 491170940071 542873144289 598268363094 631505494377 672128654834 697979756943 864165413358 912174602989 982341880142 1008192982251 1085746288578 1263010988754 1296248120037 1333178265907 1395959513886 1473512820213 1628619432867 1824349205978 1894516483131 2016385964502 2093939270829 2352450291919 2592496240074 2666356531814 2736523808967 2947025640426 3024578946753 3257238865734 3438196580497 3789032966262 3888744360111 3999534797721 4187878541658 4420538460639 4704900583838 4885858298601 5473047617934 5683549449393 6049157893506 6385222220923 6876393160994 7057350875757 7777488720222 7999069595442 8209571426901 8841076921278 9073736840259 9332247861349 9771716597202 10314589741491 11367098898786 11998604393163 12770444441846 13261615381917 14114701751514 14657574895803 16419142853802 17331317456791 18147473680518 18664495722698 19155666662769 20629179482982 21172052627271 23997208786326 24628714280703 26523230763834 27221210520777 27996743584047 29315149791606 30943769224473 34662634913582 35995813179489 38311333325538 39784846145751 42344105254542 44696555546461 49257428561406 51993952370373 54442421041554 55993487168094 57466999988307 61887538448946 63516157881813 65325735029443 71991626358978 73886142842109 79569692291502 83990230752141 89393111092922 92831307673419 103987904740746 107987439538467 114933999976614 121319222197537 127032315763626 130651470058886 134089666639383 147772285684218 155981857111119 167980461504282 172400999964921 185662615346838 190548473645439 195977205088329 215974879076934 242638444395074 251970692256423 268179333278766 278493923020257 311963714222238 344801999929842 363957666592611 381096947290878 391954410176658 402268999918149 467945571333357 503941384512846 517202999894763 556987846040514 587931615264987 727915333185222 755912076769269 804537999836298 849234555382759 935891142666714 1034405999789526 1091872999777833 1175863230529974 1206806999754447 1403836714000071 1511824153538538 1698469110765518 1763794845794961 2183745999555666 2413613999508894 2547703666148277 2807673428000142 3275618999333499 3527589691589922 3620420999263341 5095407332296554 5291384537384883 6551237998666998 7240841998526682 7643110998444831 9826856998000497 10582769074769766 15286221996889662 19653713996000994 22929332995334493 45858665990668986 68787998986003479 137575997972006958
• Sum of all divisors σ(n): 407582487258202872
• Sum of proper divisors (its aliquot sum) s(n): 270006489286195914
• 137575997972006958 is an abundant number, because the sum of its proper divisors (270006489286195914) is greater than itself. Its abundance is 132430491314188956

Bases of 137575997972006958

• Binary: 111101000110001001010010000101000101111011100100000101110₂
• Hexadecimal: 0x1E8C4A428BDC82E
• Base-36: 11MMMCYLJ0VI

Squares and roots of 137575997972006958

• 137575997972006958 squared (137575997972006958²) is 18927155217993662620371778400413764
• 137575997972006958 cubed (137575997972006958³) is 2603922267886557041715126791005869946858996686969912
• The square root of 137575997972006958 is 370912385.8433510953
• The cube root of 137575997972006958 is 516235.1325719431

Scales and comparisons

• 137,575,997,972,006,958 seconds is equal to 4,374,491,185 years, 2 days, 16 hours, 9 minutes, 18 seconds.
• To count from 1 to 137,575,997,972,006,958 would take you about thirteen billion, one hundred twenty-three million, four hundred seventy-three thousand, five hundred fifty-five 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 137575997972006958 cubic inches would be around 43019.6 feet tall.

Recreational maths with 137575997972006958

• 137575997972006958 backwards is 859600279799575731
• The number of decimal digits it has is: 18
• The sum of 137575997972006958's digits is 99
• More coming soon!