137187715064055012

Names of 137187715064055012

• Cardinal: 137187715064055012 can be written as One hundred thirty-seven quadrillion, one hundred eighty-seven trillion, seven hundred fifteen billion, sixty-four million, fifty-five thousand and twelve.

Scientific notation

• Scientific notation: 1.37187715064055012 × 10¹⁷

Factors of 137187715064055012

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 616318662

Divisors of 137187715064055012

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 223 233 238 252 306 357 446 466 476 612 669 699 714 892 932 1071 1338 1398 1428 1561 1631 2007 2097 2142 2676 2796 3122 3262 3791 3961 4014 4194 4284 4683 4893 6244 6524 7582 7922 8028 8388 9366 9786 11373 11883 14049 14679 15164 15844 18732 19572 22746 23766 26537 27727 28098 29358 34119 35649 45492 47532 51959 53074 55454 56196 58716 68238 71298 79611 83181 103918 106148 110908 136476 142596 155877 159222 166362 207836 238833 249543 311754 318444 332724 363713 467631 477666 499086 623508 727426 883303 935262 955332 998172 1091139 1454852 1766606 1870524 2182278 2649909 3273417 3533212 4364556 5299818 6183121 6546834 7949727 10599636 12366242 13093668 15899454 18549363 24732484 31798908 37098726 55648089 74197452 111296178 222592356 616318177 1232636354 1848954531 2465272708 3697909062 4314227239 5546863593 7395818124 8628454478 10477409009 11093727186 12942681717 17256908956 20954818018 22187454372 25885363434 31432227027 38828045151 41909636036 51770726868 62864454054 73341863063 77656090302 94296681081 125728908108 137438953471 143602135241 146683726126 155312180604 188593362162 220025589189 274877906942 287204270482 293367452252 377186724324 412316860413 430806405723 440051178378 549755813884 574408540964 660076767567 824633720826 861612811446 880102356756 962072674297 1005214946687 1236950581239 1292419217169 1320153535134 1649267441652 1723225622892 1924145348594 2010429893374 2336462209007 2441236299097 2473901162478 2584838434338 2640307070268 2886218022891 3015644840061 3848290697188 4020859786748 4672924418014 4882472598194 4947802324956 5169676868676 5772436045782 6031289680122 7009386627021 7323708897291 8658654068673 9046934520183 9345848836028 9764945196388 11544872091564 12062579360244 14018773254042 14647417794582 16355235463049 17088654093679 17317308137346 18093869040366 21028159881063 21971126691873 28037546508084 29294835589164 32023276158743 32710470926098 34177308187358 34634616274692 36187738080732 42056319762126 43942253383746 49065706389147 51265962281037 64046552317486 65420941852196 68354616374716 84112639524252 87884506767492 96069828476229 98131412778294 102531924562074 128093104634972 147197119167441 153797886843111 192139656952458 196262825556588 205063849124148 224162933111201 288209485428687 294394238334882 307595773686222 384279313904916 448325866222402 544395694698631 576418970857374 588788476669764 615191547372444 672488799333603 896651732444804 1088791389397262 1152837941714748 1344977598667206 1633187084095893 2017466398000809 2177582778794524 2689955197334412 3266374168191786 3810769862890417 4034932796001618 4899561252287679 6532748336383572 7621539725780834 8069865592003236 9799122504575358 11432309588671251 15243079451561668 19598245009150716 22864619177342502 34296928766013753 45729238354685004 68593857532027506 137187715064055012
• Sum of all divisors σ(n): 423323850130900992
• Sum of proper divisors (its aliquot sum) s(n): 286136135066845980
• 137187715064055012 is an abundant number, because the sum of its proper divisors (286136135066845980) is greater than itself. Its abundance is 148948420002790968

Bases of 137187715064055012

• Binary: 111100111011000110111111111111111111100001100010011100100₂
• Hexadecimal: 0x1E7637FFFF0C4E4
• Base-36: 11ISZI97AUP0

Squares and roots of 137187715064055012

• 137187715064055012 squared (137187715064055012²) is 18820469164496346465258204562320144
• 137187715064055012 cubed (137187715064055012³) is 2581937161110758275594543415695547530168831571761728
• The square root of 137187715064055012 is 370388600.0730246719
• The cube root of 137187715064055012 is 515749.0154416759

Scales and comparisons

• 137,187,715,064,055,012 seconds is equal to 4,362,144,989 years, 29 weeks, 5 days, 8 hours, 10 minutes, 12 seconds.
• To count from 1 to 137,187,715,064,055,012 would take you about thirteen billion, eighty-six million, four hundred thirty-four thousand, nine hundred sixty-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 137187715064055012 cubic inches would be around 42979.1 feet tall.

Recreational maths with 137187715064055012

• 137187715064055012 backwards is 210550460517781731
• 137187715064055012 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137187715064055012's digits is 63
• More coming soon!