138322023474017175

Names of 138322023474017175

• Cardinal: 138322023474017175 can be written as One hundred thirty-eight quadrillion, three hundred twenty-two trillion, twenty-three billion, four hundred seventy-four million, seventeen thousand, one hundred seventy-five.

Scientific notation

• Scientific notation: 1.38322023474017175 × 10¹⁷

Factors of 138322023474017175

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 603

Divisors of 138322023474017175

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 5 13 15 25 39 41 65 75 123 169 195 205 325 507 533 541 615 845 975 1025 1599 1623 1681 2535 2665 2705 3075 4225 5043 6929 7033 7995 8115 8405 12675 13325 13525 20787 21099 21853 22181 25215 34645 35165 39975 40575 42025 65559 66543 68921 91429 103935 105495 109265 110905 126075 173225 175825 206763 274287 284089 288353 292681 327795 332715 344605 457145 519675 527475 546325 554525 852267 865059 878043 895973 909421 1033815 1371435 1420445 1441765 1463405 1638975 1663575 1723025 2285725 2687919 2728263 3748589 3804853 4261335 4325295 4390215 4479865 4547105 5169075 6857175 7102225 7208825 7317025 11245767 11414559 11647649 11822473 11999921 13439595 13641315 18742945 19024265 21306675 21626475 21951075 22399325 22735525 34942947 35467419 35999763 37286261 49463089 56228835 57072795 58238245 59112365 59999605 67197975 68206575 93714725 95121325 111858783 148389267 153692149 155998973 158340421 174714735 177337095 179998815 186431305 247315445 281144175 285363975 291191225 295561825 299998025 461076447 467996919 475021263 484721393 491996761 559293915 741946335 768460745 779994865 791702105 873573675 886685475 899994075 932156525 1236577225 1454164179 1475990283 2027986649 2058425473 2305382235 2339984595 2375106315 2423606965 2459983805 2796469575 3709731675 3842303725 3899974325 3958510525 6083959947 6175276419 6301378109 6395957893 6491957261 7270820895 7379951415 10139933245 10292127365 11526911175 11699922975 11875531575 12118034825 12299919025 18904134327 19187873679 19475871783 20171867201 26759531149 30419799735 30876382095 31506890545 31979789465 32459786305 36354104475 36899757075 50699666225 51460636825 60515601603 80278593447 83147452609 84395444393 94520671635 95939368395 97379358915 100859336005 133797655745 152098998675 154381910475 157534452725 159898947325 162298931525 249442357827 253186333179 262234273613 266170247701 302578008015 401392967235 415737263045 421977221965 472603358175 479696841975 486896794575 504296680025 668988278725 786702820839 798510743103 1097140777109 1247211789135 1265931665895 1311171368065 1330851238505 1512890040075 2006964836175 2078686315225 2109886109825 3291422331327 3409045556969 3460213220113 3933514104195 3992553715515 5485703885545 6236058945675 6329658329475 6555856840325 6654256192525 10227136670907 10380639660339 10912980155741 16457111656635 17045227784845 17301066100565 19667570520975 19962768577575 27428519427725 32738940467223 44982771861469 51135683354535 51903198301695 54564900778705 82285558283175 85226138924225 86505330502825 134948315584407 141868742024633 163694702336115 224913859307345 255678416772675 259515991508475 272824503893525 425606226073899 674741577922035 709343710123165 818473511680575 1124569296536725 1844293646320229 2128031130369495 3373707889610175 3546718550615825 5532880938960687 9221468231601145 10640155651847475 27664404694803435 46107341158005725 138322023474017175
• Sum of all divisors σ(n): 254298241709733312
• Sum of proper divisors (its aliquot sum) s(n): 115976218235716137
• 138322023474017175 is a deficient number, because the sum of its proper divisors (115976218235716137) is less than itself. Its deficiency is 22345805238301038

Bases of 138322023474017175

• Binary: 111101011011010110010010111000001110010000011001110010111₂
• Hexadecimal: 0x1EB6B25C1C83397
• Base-36: 11TZ2CCFM8IF

Squares and roots of 138322023474017175

• 138322023474017175 squared (138322023474017175²) is 19132982177946558390182332194980625
• 138322023474017175 cubed (138322023474017175³) is 2646512809945876103733218437154527337780640042234375
• The square root of 138322023474017175 is 371916688.8888117307
• The cube root of 138322023474017175 is 517166.5705606225

Scales and comparisons

• 138,322,023,474,017,175 seconds is equal to 4,398,212,488 years, 18 weeks, 6 days, 2 hours, 6 minutes, 15 seconds.
• To count from 1 to 138,322,023,474,017,175 would take you about thirteen billion, one hundred ninety-four million, six hundred thirty-seven thousand, four hundred sixty-five 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 138322023474017175 cubic inches would be around 43097.2 feet tall.

Recreational maths with 138322023474017175

• 138322023474017175 backwards is 571710474320223831
• The number of decimal digits it has is: 18
• The sum of 138322023474017175's digits is 60
• More coming soon!