138108547294817311697408001

Names of 138108547294817311697408001

• Cardinal: 138108547294817311697408001 can be written as One hundred thirty-eight septillion, one hundred eight sextillion, five hundred forty-seven quintillion, two hundred ninety-four quadrillion, eight hundred seventeen trillion, three hundred eleven billion, six hundred ninety-seven million, four hundred eight thousand and one.

Scientific notation

• Scientific notation: 1.38108547294817311697408001 × 10²⁶

Factors of 138108547294817311697408001

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 14705

Divisors of 138108547294817311697408001

• Number of divisors d(n): 180
• Complete list of divisors:
  1 3 9 13 27 39 81 117 169 351 507 1053 1521 3331 4231 4563 7127 9993 12693 13689 21381 29979 38079 43303 55003 64143 89937 92651 114237 129909 165009 192429 269811 277953 342711 389727 495027 562939 577287 715039 833859 1169181 1204463 1485081 1688817 2145117 2501577 3507543 3613389 4455243 5066451 6435351 7504731 10840167 14093461 15199353 19306053 23740037 30154337 32520501 42280383 45598059 50794129 57918159 71220111 90463011 97561503 126841149 152382387 183214993 213660333 271389033 308620481 380523447 392006381 457147161 549644979 640980999 660323677 814167099 925861443 1141570341 1176019143 1371441483 1648934937 1922942997 1980971031 2381794909 2442501297 2777584329 3528057429 4012066253 4114324449 4946804811 5096082953 5942913093 7145384727 8332752987 8584207801 10584172287 12036198759 14840414433 15288248859 17828739279 21436154181 24998258961 25752623403 31752516861 36108596277 45864746577 53486217837 64308462543 77257870209 100444096547 108325788831 137594239731 169195243699 192925387629 214909959799 231773610627 301332289641 324977366493 412782719193 507585731097 644729879397 695320831881 903996868923 1305773255111 1522757193291 1934189638191 2199538168087 2711990606769 2793829477387 3917319765333 4568271579873 5802568914573 6598614504261 8135971820307 8381488432161 11751959295999 13704814739619 16975052316443 17407706743719 19795843512783 25144465296483 28593996185131 35255877887997 36319783206031 50925156949329 59387530538349 75433395889449 85781988555393 105767633663991 108959349618093 152775470847987 178162591615047 226300187668347 257345965666179 326878048854279 458326412543961 715865076090469 772037896998537 980634146562837 1374979237631883 2147595228271407 2316113690995611 2941902439688511 6442785684814221 9306245989176097 19328357054442663 27918737967528291 57985071163327989 83756213902584873 120981197859289261 251268641707754619 362943593577867783 753805925123263857 1088830780733603349 3266492342200810047 9799477026602430141
• Sum of all divisors σ(n): 138108553357472670631438884
• Sum of proper divisors (its aliquot sum) s(n): 6062655358934030883
• 138108547294817311697408001 is a deficient number, because the sum of its proper divisors (6062655358934030883) is less than itself. Its deficiency is 138108541232161952763377118

Bases of 138108547294817311697408001

• Binary: 111001000111101100111110101100111001101100100000011100111010001100010000001000000000001₂
• Hexadecimal: 0x723D9F59CD9039D1881001
• Base-36: HCPSPNFZZ8RT47F29

Squares and roots of 138108547294817311697408001

• 138108547294817311697408001 squared (138108547294817311697408001²) is 19073970835884790184867492645055718535788541858816001
• 138108547294817311697408001 cubed (138108547294817311697408001³) is 2634278403287760637062226816630369683079185894734303411550555995055002484224001
• 138108547294817311697408001 is a perfect square number. Its square root is 11751959295999
• The cube root of 138108547294817311697408001 is 516900381.1153253777

Scales and comparisons

• 138,108,547,294,817,311,697,408,001 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,108,547,294,817,311,697,408,001 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 138108547294817311697408001 cubic inches would be around 43075031.8 feet tall.

Recreational maths with 138108547294817311697408001

• 138108547294817311697408001 backwards is 100804796113718492745801831
• The number of decimal digits it has is: 27
• The sum of 138108547294817311697408001's digits is 108
• More coming soon!