137714638897448068096

Names of 137714638897448068096

• Cardinal: 137714638897448068096 can be written as One hundred thirty-seven quintillion, seven hundred fourteen quadrillion, six hundred thirty-eight trillion, eight hundred ninety-seven billion, four hundred forty-eight million, sixty-eight thousand and ninety-six.

Scientific notation

• Scientific notation: 1.37714638897448068096 × 10²⁰

Factors of 137714638897448068096

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 192211

Divisors of 137714638897448068096

• Number of divisors d(n): 297
• Complete list of divisors:
  1 2 4 8 16 23 32 46 64 83 92 128 166 184 256 332 368 512 529 664 736 1024 1058 1328 1472 1909 2116 2656 2944 3818 4232 5312 5888 6889 7636 8464 10624 11776 13778 15272 16928 21248 23552 27556 30544 33856 42496 43907 55112 61088 67712 84992 87814 110224 122176 135424 158447 175628 192103 220448 244352 270848 316894 351256 384206 440896 488704 541696 633788 702512 768412 881792 977408 1267576 1405024 1536824 1763584 1954816 2535152 2810048 3073648 3527168 3644281 4418369 5070304 5620096 6147296 7054336 7288562 8836738 10140608 11240192 12294592 14577124 15944549 17673476 20281216 22480384 24589184 29154248 31889098 35346952 40562432 44960768 49178368 58308496 63778196 70693904 81124864 98356736 101622487 116616992 127556392 141387808 162249728 196713472 203244974 233233984 255112784 282775616 366724627 406489948 466467968 510225568 565551232 733449254 812979896 932935936 1020451136 1131102464 1323397567 1466898508 1625959792 1865871872 2040902272 2262204928 2646795134 2933797016 3251919584 3731743744 4081804544 4524409856 5293590268 5867594032 6503839168 8163609088 8434666421 10587180536 11735188064 13007678336 16327218176 16869332842 21174361072 23470376128 26015356672 30438144041 33738665684 36903562609 42348722144 46940752256 52030713344 60876288082 67477331368 73807125218 84697444288 93881504512 104061426688 121752576164 134954662736 147614250436 169394888576 187763009024 243505152328 269909325472 295228500872 338789777152 375526018048 487010304656 539818650944 590457001744 677579554304 700077312943 848781940007 974020609312 1079637301888 1180914003488 1355159108608 1400154625886 1697563880014 1948041218624 2159274603776 2361828006976 2800309251772 3062995696547 3395127760028 3896082437248 4318549207552 4723656013952 5600618503544 6125991393094 6790255520056 7792164874496 8637098415104 9447312027904 11201237007088 12251982786188 13580511040112 15584329748992 18894624055808 19521984620161 22402474014176 24503965572376 27161022080224 31168659497984 37789248111616 39043969240322 44804948028352 49007931144752 54322044160448 70448901020581 78087938480644 89609896056704 98015862289504 108644088320896 140897802041162 156175876961288 179219792113408 196031724579008 217288176641792 254228642813401 281795604082324 312351753922576 358439584226816 392063449158016 434576353283584 508457285626802 563591208164648 624703507845152 716879168453632 784126898316032 869152706567168 1016914571253604 1127182416329296 1249407015690304 1568253796632064 1620324723473363 2033829142507208 2254364832658592 2498814031380608 3136507593264128 3240649446946726 4067658285014416 4508729665317184 4997628062761216 5847258784708223 6481298893893452 8135316570028832 9017459330634368 9995256125522432 11694517569416446 12962597787786904 16270633140057664 18034918661268736 19990512251044864 23389035138832892 25925195575573808 32541266280115328 36069837322537472 46778070277665784 51850391151147616 65082532560230656 72139674645074944 93556140555331568 103700782302295232 130165065120461312 134486952048289129 187112281110663136 207401564604590464 260330130240922624 268973904096578258 374224562221326272 414803129209180928 537947808193156516 748449124442652544 829606258418361856 1075895616386313032 1496898248885305088 1659212516836723712 2151791232772626064 2993796497770610176 4303582465545252128 5987592995541220352 8607164931090504256 17214329862181008512 34428659724362017024 68857319448724034048 137714638897448068096
• Sum of all divisors σ(n): 291295110017829344259
• Sum of proper divisors (its aliquot sum) s(n): 153580471120381276163
• 137714638897448068096 is an abundant number, because the sum of its proper divisors (153580471120381276163) is greater than itself. Its abundance is 15865832222933208067

Bases of 137714638897448068096

• Binary: 1110111011100101100101011100110111100001101100101011010010000000000₂
• Hexadecimal: 0x7772CAE6F0D95A400
• Base-36: T2AHH7UXXH0XS

Squares and roots of 137714638897448068096

• 137714638897448068096 squared (137714638897448068096²) is 18965321766654516448693013425242653065216
• 137714638897448068096 cubed (137714638897448068096³) is 2611802438668738584099917416939031631692422545203671896948736
• 137714638897448068096 is a perfect square number. Its square root is 11735188064
• The cube root of 137714638897448068096 is 5164084.8472943079

Scales and comparisons

• 137,714,638,897,448,068,096 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,714,638,897,448,068,096 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137714638897448068096 cubic inches would be around 430340.4 feet tall.

Recreational maths with 137714638897448068096

• 137714638897448068096 backwards is 690860844798836417731
• The number of decimal digits it has is: 21
• The sum of 137714638897448068096's digits is 109
• More coming soon!