137088283818213

Names of 137088283818213

• Cardinal: 137088283818213 can be written as One hundred thirty-seven trillion, eighty-eight billion, two hundred eighty-three million, eight hundred eighteen thousand, two hundred thirteen.

Scientific notation

• Scientific notation: 1.37088283818213 × 10¹⁴

Factors of 137088283818213

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1490

Divisors of 137088283818213

• Number of divisors d(n): 640
• Complete list of divisors:
  1 3 7 9 13 17 21 27 39 41 51 59 63 81 91 117 119 123 153 177 189 221 273 287 351 357 369 413 459 531 533 567 617 663 697 733 767 819 861 1003 1053 1071 1107 1239 1377 1547 1593 1599 1851 1989 2091 2199 2301 2419 2457 2583 3009 3213 3321 3717 3731 4319 4641 4779 4797 4879 5131 5369 5553 5967 6273 6597 6903 7021 7257 7371 7749 8021 9027 9061 9529 9639 10489 11151 11193 12461 12957 13039 13923 14391 14637 15393 16107 16659 16933 17901 18819 19791 20709 21063 21771 23247 24063 25297 27081 27183 28587 30053 31447 31467 33453 33579 36403 37383 38871 39117 41123 41769 43173 43247 43911 46179 48321 49977 50799 56147 56457 59373 62127 63189 63427 65313 66703 72189 73423 75891 81243 81549 85761 87227 90159 91273 94341 94401 100737 109209 112149 116613 117351 123369 125307 129741 131733 136357 138537 144963 152397 161993 168441 177079 189567 190281 195939 200109 210371 216567 220129 220269 227673 244647 254821 257283 261681 270477 273819 283023 283203 287861 302211 302729 327627 328861 336447 349839 352053 370107 389223 390689 395199 409071 415611 430049 434889 452261 457191 473239 485979 505323 510901 531237 534599 562211 568701 570843 600327 618851 631113 649701 660387 660807 683019 733941 735199 764463 771849 785043 811431 821457 849069 849609 863583 908187 954499 982881 986583 1009341 1056159 1110321 1133951 1167669 1172067 1227213 1290147 1356783 1371573 1419717 1457937 1492523 1515969 1532703 1593711 1603797 1686633 1712529 1773127 1800981 1856553 1893339 1981161 1982421 2049057 2205597 2293389 2302027 2355129 2434293 2464371 2547207 2590749 2724561 2734823 2863497 2948643 2959749 3010343 3165827 3312673 3330963 3401853 3503007 3516201 3576307 3681639 3742193 3870441 3935477 4070349 4259151 4331957 4373811 4477569 4547907 4598109 4781133 4811391 5059899 5137587 5146393 5319381 5402943 5569659 5590637 5680017 5879393 5943483 5947263 6616791 6641713 6880167 6906081 7065387 7393113 7688437 7772247 8045063 8173683 8204469 8590491 8879247 9031029 9497481 9557587 9938019 10205559 10447661 10548603 10728921 11044917 11226579 11611323 11806431 12211047 12411889 12777453 12995871 13121433 13432707 13794327 14343399 14434173 15179697 15439179 15958143 16708977 16771911 17040051 17638179 17830449 18542701 19402799 19850373 19925139 20640501 20718243 23050651 23065311 23316741 24135189 24521049 24613407 25372891 25771473 26637741 26683399 27093087 28492443 28672761 29814057 30143159 30616677 31342983 31645809 32186763 33679737 34833969 35419293 36633141 37235667 38332359 38987613 39134459 40298121 41155751 41382981 43302519 45539091 46317537 46491991 47874429 50126931 50315733 52914537 53819059 55628103 56315441 58208397 59551119 59775417 62154729 66903109 69151953 69195933 72405567 73840221 76118673 77314419 80050197 81279261 85477329 86018283 89442171 90429477 91850031 94028949 96560289 99949681 101039211 106257879 111707001 116962839 117403377 120894363 123467253 129798907 135819593 138952611 139475973 143623287 150947199 158743611 161354557 161457177 166884309 168946323 174625191 177610237 179326251 186464187 186783793 200709327 207455859 207587799 211002113 217216701 221520663 228356019 240150591 241055113 243837783 256431987 258054849 268326513 271288431 282086847 289680867 299849043 303117633 315225917 318773637 329847583 335121003 346884187 350888517 352210131 370401759 389396721 391861067 407458779 416857833 418427919 452841597 453617783 476230833 484063671 484371531 500652927 506838969 523875573 532830711 537978753 560351379 602127981 622367577 622763397 633006339 651650103 685068057 699647767 720451773 723165339 774164547 813865293 846260541 899547129 945677751 989542749 1005363009 1040652561 1056630393 1094019359 1111205277 1168190163 1175583201 1222376337 1255283757 1360853349 1452191013 1453114593 1501958781 1520516907 1571626719 1598492133 1681054137 1687385791 1806383943 1867102731 1899019017 2055204171 2098943301 2161355319 2169496017 2206581419 2308933081 2428189309 2441595879 2698641387 2743027469 2837033253 2968628247 3121957683 3169891179 3175324481 3282058077 3333615831 3504570489 3526749603 3667129011 3765851271 4082560047 4097936921 4356573039 4359343779 4561550721 4795476399 5043162411 5062157373 5419151829 5697057051 5897031179 6296829903 6508488051 6619744257 6926799243 7284567927 7658135513 8095924161 8229082407 8511099759 8905884741 9365873049 9525973443 9846174231 10513711467 10580248809 11001387033 12247680141 12293810763 13069719117 14222251667 14386429197 15129487233 15186472119 17091171153 17691093537 18598329103 18890489709 19525464153 19859232771 20780397729 21853703781 22974406539 24687247221 25533299277 26717654223 28097619147 28577920329 28685558447 29538522693 31740746427 36743040423 36881432289 41279218253 42666755001 45559416357 53073280611 55794987309 56671469127 59577698313 62341193187 65561111343 68923219617 74061741663 85733760987 86056675341 88615568079 99555761669 110644296867 123837654759 128000265003 130188303721 136678249071 159219841833 167384961927 178733094939 187023579561 196683334029 206769658851 222185224989 241778278339 257201282961 258170026023 298667285007 331932890601 371512964277 384000795009 390564911163 477659525499 502154885781 620308976553 725334835017 774510078069 896001855021 1114538892831 1152002385027 1171694733489 1506464657343 1692447948373 2176004505051 2323530234207 2688005565063 3343616678493 3515084200467 5077343845119 6528013515153 8064016695189 10545252601401 15232031535357 19584040545459 45696094606071 137088283818213
• Sum of all divisors σ(n): 278843788016640
• Sum of proper divisors (its aliquot sum) s(n): 141755504198427
• 137088283818213 is an abundant number, because the sum of its proper divisors (141755504198427) is greater than itself. Its abundance is 4667220380214

Bases of 137088283818213

• Binary: 11111001010111001011010011101011011100011100101₂
• Hexadecimal: 0x7CAE5A75B8E5
• Base-36: 1CLDHKO5B9

Squares and roots of 137088283818213

• 137088283818213 squared (137088283818213²) is 18793197560222920266030513369
• 137088283818213 cubed (137088283818213³) is 2576327200987587791858702562994379862189597
• The square root of 137088283818213 is 11708470.6011593589
• The cube root of 137088283818213 is 51562.4383384447

Scales and comparisons

• 137,088,283,818,213 seconds is equal to 4,358,983 years, 19 weeks, 6 days, 14 hours, 23 minutes, 33 seconds.
• To count from 1 to 137,088,283,818,213 would take you about ten million, eight hundred ninety-seven thousand, four hundred fifty-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 137088283818213 cubic inches would be around 4296.9 feet tall.

Recreational maths with 137088283818213

• 137088283818213 backwards is 312818382880731
• 137088283818213 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137088283818213's digits is 63
• More coming soon!