138109403939901696

Names of 138109403939901696

• Cardinal: 138109403939901696 can be written as One hundred thirty-eight quadrillion, one hundred nine trillion, four hundred three billion, nine hundred thirty-nine million, nine hundred one thousand, six hundred ninety-six.

Scientific notation

• Scientific notation: 1.38109403939901696 × 10¹⁷

Factors of 138109403939901696

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 35431

Divisors of 138109403939901696

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 256 288 292 324 384 432 438 576 584 648 657 768 864 876 1152 1168 1296 1314 1728 1752 1971 2304 2336 2592 2628 3456 3504 3942 4672 5184 5256 5329 5913 6912 7008 7884 9344 10368 10512 10658 11826 14016 15768 15987 18688 20736 21024 21316 23652 28032 31536 31974 35353 42048 42632 47304 47961 56064 63072 63948 70706 84096 85264 94608 95922 106059 126144 127896 141412 143883 168192 170528 189216 191844 212118 252288 255792 282824 287766 318177 341056 378432 383688 424236 431649 504576 511584 565648 575532 636354 682112 756864 767376 848472 863298 954531 1023168 1131296 1151064 1272708 1364224 1513728 1534752 1696944 1726596 1909062 2046336 2262592 2302128 2545416 2580769 2863593 3069504 3393888 3453192 3818124 4092672 4525184 4604256 5090832 5161538 5727186 6139008 6787776 6906384 7636248 7742307 9050368 9208512 10181664 10323076 11454372 12278016 13575552 13812768 15272496 15484614 18417024 20363328 20646152 22908744 23226921 27151104 27625536 30544992 30969228 36834048 40726656 41292304 45817488 46453842 55251072 61089984 61938456 69680763 81453312 82584608 91634976 92907684 110502144 122179968 123876912 139361526 165169216 183269952 185815368 188396137 209042289 244359936 247753824 278723052 330338432 366539904 371630736 376792274 418084578 495507648 557446104 565188411 660676864 733079808 743261472 753584548 836169156 991015296 1114892208 1130376822 1249834609 1486522944 1507169096 1672338312 1695565233 1982030592 2229784416 2260753644 2499669218 2973045888 3014338192 3344676624 3391130466 3749503827 4459568832 4521507288 4999338436 5086695699 5946091776 6028676384 6689353248 6782260932 7499007654 8919137664 9043014576 9998676872 10173391398 11248511481 12057352768 13378706496 13564521864 14998015308 15260087097 17838275328 18086029152 19997353744 20346782796 22497022962 24114705536 26757412992 27129043728 29996030616 30520174194 33745534443 36172058304 39994707488 40693565592 44994045924 48229411072 53514825984 54258087456 59992061232 61040348388 67491068886 72344116608 79989414976 81387131184 89988091848 91237926457 101236603329 108516174912 119984122464 122080696776 134982137772 144688233216 159978829952 162774262368 179976183696 182475852914 202473206658 217032349824 239968244928 244161393552 269964275544 273713779371 319957659904 325548524736 359952367392 364951705828 404946413316 434064699648 479936489856 488322787104 539928551088 547427558742 651097049472 719904734784 729903411656 809892826632 821141338113 959872979712 976645574208 1079857102176 1094855117484 1302194098944 1439809469568 1459806823312 1619785653264 1642282676226 1953291148416 2159714204352 2189710234968 2463424014339 2879618939136 2919613646624 3239571306528 3284565352452 3906582296832 4319428408704 4379420469936 4926848028678 5839227293248 6479142613056 6569130704904 6660368631361 7390272043017 8638856817408 8758840939872 9853696057356 11678454586496 12958285226112 13138261409808 13320737262722 14780544086034 17517681879744 19707392114712 19981105894083 23356909172992 25916570452224 26276522819616 26641474525444 29561088172068 35035363759488 39414784229424 39962211788166 52553045639232 53282949050888 59122176344136 59943317682249 70070727518976 78829568458848 79924423576332 105106091278464 106565898101776 118244352688272 119886635364498 157659136917696 159848847152664 179829953046747 210212182556928 213131796203552 236488705376544 239773270728996 315318273835392 319697694305328 359659906093494 426263592407104 472977410753088 479546541457992 539489859140241 630636547670784 639395388610656 719319812186988 852527184814208 945954821506176 959093082915984 1078979718280482 1278790777221312 1438639624373976 1705054369628416 1891909643012352 1918186165831968 2157959436560964 2557581554442624 2877279248747952 3836372331663936 4315918873121928 5115163108885248 5754558497495904 7672744663327872 8631837746243856 11509116994991808 15345489326655744 17263675492487712 23018233989983616 34527350984975424 46036467979967232 69054701969950848 138109403939901696
• Sum of all divisors σ(n): 417547674413212959
• Sum of proper divisors (its aliquot sum) s(n): 279438270473311263
• 138109403939901696 is an abundant number, because the sum of its proper divisors (279438270473311263) is greater than itself. Its abundance is 141328866533409567

Bases of 138109403939901696

• Binary: 111101010101010011100010101101001111110101001000100000000₂
• Hexadecimal: 0x1EAA9C569FA9100
• Base-36: 11RVP4A2OG00

Squares and roots of 138109403939901696

• 138109403939901696 squared (138109403939901696²) is 19074207456634934109910174143676416
• 138109403939901696 cubed (138109403939901696³) is 2634327422461879077211051557362009124236459073601536
• 138109403939901696 is a perfect square number. Its square root is 371630736
• The cube root of 138109403939901696 is 516901.4498381131

Scales and comparisons

• 138,109,403,939,901,696 seconds is equal to 4,391,451,844 years, 44 weeks, 2 days, 15 hours, 21 minutes, 36 seconds.
• To count from 1 to 138,109,403,939,901,696 would take you about thirteen billion, one hundred seventy-four million, three hundred fifty-five thousand, five hundred thirty-four 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 138109403939901696 cubic inches would be around 43075.1 feet tall.

Recreational maths with 138109403939901696

• 138109403939901696 backwards is 696109939304901831
• 138109403939901696 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138109403939901696's digits is 81
• More coming soon!