138271578719638747201

Names of 138271578719638747201

• Cardinal: 138271578719638747201 can be written as One hundred thirty-eight quintillion, two hundred seventy-one quadrillion, five hundred seventy-eight trillion, seven hundred nineteen billion, six hundred thirty-eight million, seven hundred forty-seven thousand, two hundred one.

Scientific notation

• Scientific notation: 1.38271578719638747201 × 10²⁰

Factors of 138271578719638747201

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 16585

Divisors of 138271578719638747201

• Number of divisors d(n): 243
• Complete list of divisors:
  1 7 13 49 53 91 149 169 371 637 689 1043 1183 1937 2597 2809 4823 7301 7897 8281 8957 13559 16363 19663 22201 25181 33761 36517 55279 62699 94913 102661 114541 137641 155407 176267 212719 255619 288613 386953 418541 438893 474721 718627 801787 867239 1087849 1176653 1233869 1334593 1489033 1789333 2020291 2438087 2765347 2929787 3323047 3751969 5030389 5441033 6070673 8236571 9342151 10423231 11274107 14142037 15296489 17066609 19357429 20508509 23261329 26263783 31695131 38087231 42494711 45963667 57655997 62362609 65395057 70733429 78918749 107075423 119466263 129218611 135502003 146563391 183846481 198854357 221865917 266610617 267747769 321745669 363274963 412036703 436538263 495134003 552431243 597527671 749527961 810713917 904530277 1025943737 1391980499 1553061419 1679841943 1874234383 2252219683 2542924741 2884256921 3055767841 3465938021 3480720997 4182693697 4722574519 5674997419 6331711939 6848586383 7181606159 7767859723 9743863493 10539280921 11758893601 13119640681 14190631757 17800473187 19253573039 20189798447 21837945259 24365046979 29278855879 33058021633 39724981933 39894417581 45249372961 47940104681 54375018061 61393468747 73774966447 82312255207 89031622979 99334422299 134775011273 152865616813 170555328853 184478212841 231406151431 250296449507 279260923067 316745610727 335580732767 380625126427 429754281229 516424765129 518627428553 623221360853 695340956093 752103483121 943425078911 1020439371067 1070059317691 1157411098727 1291347489887 1752075146549 1954826461469 2114404131793 2217219275089 2398216766933 3008279968603 3253853843591 3630391999871 4362549525971 5264724381847 5944268219569 6742156571189 7143075597469 8101877691089 9039432429209 9777345280573 12264526025843 13265711823871 14800828922551 16787517368531 22776976905137 25412743999097 27487253713309 36853070672929 41609877536983 47195095998323 50001529182283 56713143837623 68441416964011 77275486854397 92859982767097 103605802457857 112063418985029 117512621579717 127105488647449 159438838335959 172454253710323 192410775993163 291269142758881 315046215637157 330365671988261 357334298273017 479089918748077 540928407980779 650019879369679 784443932895203 889738420532143 1004581329107161 1207179775972261 1346875431952141 1456824446805377 2205323509460099 2501340087911119 3786498855865453 4095600803283041 5491107530266421 6228168943725001 7032069303750127 8450258431805827 10197771127637639 15437264566220693 16697449428769321 17509380615377833 18938717808469901 28669205622981287 49224485126250889 53242810442679533 71384397893463473 116882146001385247 132571024659289307 200684439360869009 217066842574001173 372699673098756731 818175022009696729 927997172615025149 1519467898018008211 2608897711691297117 2821868953462015249 10636275286126057477 19753082674234106743 138271578719638747201
• Sum of all divisors σ(n): 178729670540482687899
• Sum of proper divisors (its aliquot sum) s(n): 40458091820843940698
• 138271578719638747201 is a deficient number, because the sum of its proper divisors (40458091820843940698) is less than itself. Its deficiency is 97813486898794806503

Bases of 138271578719638747201

• Binary: 1110111111011100111010101000100000001010100100001110111100001000001₂
• Hexadecimal: 0x77EE7544054877841
• Base-36: T6ITBWP55Q2IP

Squares and roots of 138271578719638747201

• 138271578719638747201 squared (138271578719638747201²) is 19119029481621254848730632829024785334401
• 138271578719638747201 cubed (138271578719638747201³) is 2643618390011087330127040191921920643490202903404293487761601
• 138271578719638747201 is a perfect square number. Its square root is 11758893601
• The cube root of 138271578719638747201 is 5171036.9430514343

Scales and comparisons

• 138,271,578,719,638,747,201 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,271,578,719,638,747,201 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 138271578719638747201 cubic inches would be around 430919.7 feet tall.

Recreational maths with 138271578719638747201

• 138271578719638747201 backwards is 102747836917875172831
• The number of decimal digits it has is: 21
• The sum of 138271578719638747201's digits is 97
• More coming soon!