137979972141614127

Names of 137979972141614127

• Cardinal: 137979972141614127 can be written as One hundred thirty-seven quadrillion, nine hundred seventy-nine trillion, nine hundred seventy-two billion, one hundred forty-one million, six hundred fourteen thousand, one hundred twenty-seven.

Scientific notation

• Scientific notation: 1.37979972141614127 × 10¹⁷

Factors of 137979972141614127

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 268

Divisors of 137979972141614127

• Number of divisors d(n): 390
• Complete list of divisors:
  1 3 7 9 21 27 29 63 81 87 189 203 229 243 261 567 609 687 729 783 841 1603 1701 1827 2061 2187 2349 2523 4809 5103 5481 5887 6183 6561 6641 7047 7569 14427 15309 16443 17661 18549 19683 19923 21141 22707 24389 43281 45927 46487 49329 52441 52983 55647 59049 59769 63423 68121 73167 129843 137781 139461 147987 157323 158949 166941 170723 177147 179307 190269 192589 204363 219501 367087 389529 413343 418383 443961 471969 476847 500823 512169 531441 537921 570807 577767 613089 658503 707281 1101261 1168587 1240029 1255149 1331883 1348123 1415907 1430541 1502469 1520789 1536507 1613763 1712421 1733301 1839267 1975509 2121843 3303783 3505761 3720087 3765447 3995649 4044369 4247721 4291623 4507407 4562367 4609521 4841289 4950967 5137263 5199903 5517801 5585081 5926527 6365529 9911349 10517283 10645523 11296341 11986947 12133107 12743163 12874869 13522221 13687101 13828563 14523867 14852901 15411789 15599709 16553403 16755243 17779581 19096587 29734047 31551849 31936569 33889023 35960841 36399321 38229489 38624607 39095567 40566663 41061303 41485689 43571601 44102881 44558703 46799127 49660209 50265729 53338743 57289761 89202141 94655547 95809707 101667069 107882523 109197963 114688467 115873821 117286701 121699989 123183909 124457067 130714803 132308643 133676109 140397381 148980627 150797187 160016229 161967349 171869283 267606423 283966641 287429121 305001207 308720167 327593889 344065401 347621463 351860103 369551727 373371201 392144409 396925929 401028327 421192143 446941881 452391561 480048687 485902047 515607849 802819269 851899923 862287363 915003621 926160501 982781667 1032196203 1042864389 1055580309 1108655181 1120113603 1133771443 1176433227 1190777787 1203084981 1263576429 1278983549 1357174683 1440146061 1457706141 1546823547 2408457807 2586862089 2745010863 2778481503 2948345001 3096588609 3128593167 3166740927 3325965543 3360340809 3401314329 3529299681 3572333361 3609254943 3790729287 3836950647 4071524049 4320438183 4373118423 4640470641 7225373421 7760586267 8235032589 8335444509 8845035003 8952884843 9289765827 9500222781 9977896629 10081022427 10203942987 10717000083 10827764829 11372187861 11510851941 12214572147 12961314549 13119355269 13921411923 21676120263 23281758801 24705097767 25006333527 26535105009 26858654529 27869297481 28500668343 29933689887 30243067281 30611828961 32151000249 32483294487 34116563583 34532555823 36643716441 37090522921 39358065807 41764235769 65028360789 69845276403 75019000581 79605315027 80575963587 85502005029 89801069661 90729201843 91835486883 96453000747 97449883461 102349690749 103597667469 109931149323 111271568763 118074197421 125292707307 195085082367 209535829209 225057001743 238815945081 241727890761 256506015087 259633660447 269403208983 275506460649 289359002241 292349650383 310793002407 329793447969 333814706289 354222592263 375878121921 628607487627 675171005229 716447835243 725183672283 769518045261 778900981341 808209626949 826519381947 868077006723 877048951149 932379007221 989380343907 1001444118867 1062667776789 1885822462881 2025513015687 2175551016849 2308554135783 2336702944023 2479558145841 2604231020169 2631146853447 2797137021663 2968141031721 3004332356601 3188003330367 5657467388643 6076539047061 6526653050547 6925662407349 7010108832069 7438674437523 7812693060507 8391411064989 9012997069803 9564009991101 18229617141183 19579959151641 20776987222047 21030326496207 22316023312569 23438079181521 25174233194967 27038991209409 28692029973303 54688851423549 58739877454923 63090979488621 66948069937707 75522699584901 81116973628227 86076089919909 164066554270647 176219632364769 189272938465863 200844209813121 226568098754703 243350920884681 528658897094307 567818815397589 602532629439363 679704296264109 730052762654043 1585976691282921 1703456446192767 2190158287962129 4757930073848763 5110369338578301 6570474863886387 15331108015734903 19711424591659161 45993324047204709 137979972141614127
• Sum of all divisors σ(n): 246059156625246168
• Sum of proper divisors (its aliquot sum) s(n): 108079184483632041
• 137979972141614127 is a deficient number, because the sum of its proper divisors (108079184483632041) is less than itself. Its deficiency is 29900787657982086

Bases of 137979972141614127

• Binary: 111101010001101000000110110111001100111101000010000101111₂
• Hexadecimal: 0x1EA340DB99E842F
• Base-36: 11QLTG4RT3XR

Squares and roots of 137979972141614127

• 137979972141614127 squared (137979972141614127²) is 19038472712200610576583448965972129
• 137979972141614127 cubed (137979972141614127³) is 2626927934448320998291499859658095080165583754666383
• The square root of 137979972141614127 is 371456554.8507848407
• The cube root of 137979972141614127 is 516739.9247642283

Scales and comparisons

• 137,979,972,141,614,127 seconds is equal to 4,387,336,314 years, 1 week, 2 days, 17 hours, 15 minutes, 27 seconds.
• To count from 1 to 137,979,972,141,614,127 would take you about thirteen billion, one hundred sixty-two million, eight thousand, nine hundred forty-two 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 137979972141614127 cubic inches would be around 43061.7 feet tall.

Recreational maths with 137979972141614127

• 137979972141614127 backwards is 721416141279979731
• 137979972141614127 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137979972141614127's digits is 81
• More coming soon!