137360988891912401

Names of 137360988891912401

• Cardinal: 137360988891912401 can be written as One hundred thirty-seven quadrillion, three hundred sixty trillion, nine hundred eighty-eight billion, eight hundred ninety-one million, nine hundred twelve thousand, four hundred one.

Scientific notation

• Scientific notation: 1.37360988891912401 × 10¹⁷

Factors of 137360988891912401

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 112

Divisors of 137360988891912401

• Number of divisors d(n): 288
• Complete list of divisors:
  1 7 11 41 49 53 77 121 287 343 371 451 539 583 847 1331 1681 2009 2173 2401 2597 3157 3773 4081 4961 5929 6413 9317 11767 14063 15211 16807 18179 18491 22099 23903 26411 28567 34727 41503 44891 54571 65219 68921 70543 82369 89093 98441 106477 127253 129437 154693 167321 184877 199969 203401 243089 262933 290521 314237 381997 456533 482447 493801 576583 623651 689087 745339 758131 890771 906059 980023 1082851 1171247 1399783 1423807 1701623 1840531 2033647 2199659 2237411 2673979 2825761 2892263 3195731 3377129 3456607 3652813 4036081 4365557 5217373 5306917 6342413 6860161 7579957 8198729 8339441 9798481 9966649 10780253 11911361 12883717 15397613 15661877 18717853 19780327 20245841 22370117 23639903 24196249 25569691 28252567 30558899 31083371 36521611 37148419 40180943 44396891 48021127 57391103 58376087 69766543 75461771 83379527 90186019 91733851 107783291 109633139 115856201 118582783 131024971 138462289 141720887 149765333 165479321 169373743 178987837 213912293 217583597 260038933 281266601 310778237 336147889 341917081 401737721 408632609 441990373 488365801 528232397 631302133 642136957 767431973 810993407 830079481 917174797 969236023 992046209 1048357331 1158355247 1185616201 1252914859 1274418211 1497386051 1523085179 1647418663 1820272531 1968866207 2353035223 2393419567 2860428263 3093932611 3418560607 3697626779 3761087891 4419114931 4494958699 4861894103 5372023811 5676953849 5810556367 6140378653 6784652161 6944323463 7338501317 8770404013 8920927477 10661596253 11531930641 12741907717 13782063449 14018600321 16471246561 16753936969 18121605293 20022997841 21657528277 25883387453 26327615237 31464710893 34033258721 37604166677 39738676943 40673894569 42982650571 47492565127 48610264241 51369509219 61392828091 62446492339 67544165183 74631173771 80723514487 96474444143 98130202247 117277558783 126851237051 140160984887 151602697939 154204603531 181183712171 184293306659 199337658223 220252976251 238232811047 278170738601 284717261983 300878553997 359586564533 437125446373 472809156281 522418216397 565064601409 675321109001 686911415729 742985817013 820942911481 887958659357 1061218885573 1079432224717 1290053146613 1395363607561 1541770833757 1667629677329 1947195170207 1993020833881 2106149877979 2517105951731 3059878124611 3309664093967 3955452209863 4808379910103 5200900719091 5746600380367 6215710615499 7428532199011 7556025573019 8172843987143 9030372026291 9767545252927 11673407741303 14743049145853 21419146872277 23167648657769 27688165469041 33658659370721 36406305033637 43509974308493 52892179011133 57209907910001 63212604184037 68372816770489 81713854189121 103201344020971 162173540604383 235610615595047 254844135235459 304569820159451 370245253077931 400469355370007 478609717393423 1135214784230681 1783908946648213 2591716771545517 2803285487590049 3350268021753961 12487362626537491 19622998413130343 137360988891912401
• Sum of all divisors σ(n): 184081982838905088
• Sum of proper divisors (its aliquot sum) s(n): 46720993946992687
• 137360988891912401 is a deficient number, because the sum of its proper divisors (46720993946992687) is less than itself. Its deficiency is 90639994944919714

Bases of 137360988891912401

• Binary: 111101000000000010001011101110100111001100001100011010001₂
• Hexadecimal: 0x1E8011774E618D1
• Base-36: 11KIEN5ILYOH

Squares and roots of 137360988891912401

• 137360988891912401 squared (137360988891912401²) is 18868041269364082017132107057584801
• 137360988891912401 cubed (137360988891912401³) is 2591732807213264428311905287012841899062893121017201
• The square root of 137360988891912401 is 370622434.4152852291
• The cube root of 137360988891912401 is 515966.0616210765

Scales and comparisons

• 137,360,988,891,912,401 seconds is equal to 4,367,654,561 years, 17 weeks, 1 hour, 26 minutes, 41 seconds.
• To count from 1 to 137,360,988,891,912,401 would take you about thirteen billion, one hundred two million, nine hundred sixty-three thousand, six hundred eighty-three 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 137360988891912401 cubic inches would be around 42997.2 feet tall.

Recreational maths with 137360988891912401

• 137360988891912401 backwards is 104219198889063731
• The number of decimal digits it has is: 18
• The sum of 137360988891912401's digits is 80
• More coming soon!