138177921313575

Names of 138177921313575

• Cardinal: 138177921313575 can be written as One hundred thirty-eight trillion, one hundred seventy-seven billion, nine hundred twenty-one million, three hundred thirteen thousand, five hundred seventy-five.

Scientific notation

• Scientific notation: 1.38177921313575 × 10¹⁴

Factors of 138177921313575

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 103

Divisors of 138177921313575

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 5 9 11 13 15 25 33 39 45 55 65 71 75 99 117 143 165 169 195 213 225 275 325 355 429 495 507 585 639 715 781 825 845 923 975 1065 1287 1521 1775 1859 2145 2197 2343 2475 2535 2769 2925 3195 3575 3905 4225 4615 5041 5325 5577 6435 6591 7029 7605 8307 9295 10153 10725 10985 11715 11999 12675 13845 15123 15975 16731 19525 19773 23075 24167 25205 27885 30459 32175 32955 35145 35997 38025 41535 45369 46475 50765 54925 55451 58575 59995 65533 69225 72501 75615 83655 91377 98865 107991 120835 126025 131989 139425 152295 155987 164775 166353 175725 179985 196599 207675 217503 226845 253825 277255 299975 327665 357911 362505 378075 395967 418275 456885 467961 494325 499059 539955 589797 604175 659945 720863 761475 779935 831765 851929 899925 982995 1073733 1087515 1134225 1187901 1386275 1403883 1638325 1715857 1789555 1812525 1979835 2162589 2284425 2339805 2495295 2555787 2699775 2948985 3221199 3299725 3604315 3899675 3937021 4158825 4259645 4652843 4914975 5147571 5368665 5437575 5939505 6487767 7019415 7667361 8579285 8947775 9371219 9899175 10812945 11075077 11699025 11811063 12476475 12778935 13958529 14744925 15442713 16105995 18021575 19685105 21298225 23264215 25411681 25737855 26843325 28113657 29697525 32438835 33225231 35097075 35433189 38336805 41875587 42896425 46856095 51181273 54064725 55375385 59055315 60486959 63894675 69792645 76235043 77213565 80529975 84340971 98425525 99675693 116321075 121825847 127058405 128689275 140568285 153543819 162194175 166126155 177165945 181460877 191684025 209377935 228705129 234280475 255906365 276876925 279528491 295276575 302434795 330351853 348963225 365477541 381175215 386067825 421704855 460631457 498378465 544382631 609129235 635292025 665356549 702841425 767719095 786330467 830630775 838585473 885829725 907304385 991055559 1046889675 1096432623 1143525645 1279531825 1397642455 1512173975 1651759265 1827387705 1905876075 1996069647 2108524275 2303157285 2358991401 2491892325 2515756419 2721913155 2973166677 3045646175 3326782745 3633870383 3838595475 3931652335 4192927365 4294574089 4536521925 4955277795 5482163115 5717628225 5988208941 6988212275 7076974203 8258796325 8649635137 9136938525 9980348235 10901611149 11515786425 11794957005 12578782095 12883722267 13609565775 14865833385 16633913725 18169351915 19658261675 20964636825 21472870445 24776388975 25948905411 27410815575 29941044705 32704833447 35384871015 38651166801 43248175685 47240314979 49901741175 54508055745 55829463157 58974785025 62893910475 64418611335 74329166925 77846716233 90846759575 107364352225 129744527055 141720944937 149705223525 163524167235 167488389471 176924355075 193255834005 216240878425 236201574895 272540278725 279147315785 322093056675 389233581165 425162834811 502465168413 614124094727 648722635275 708604724685 817620836175 837441947355 966279170025 1181007874475 1395736578925 1842372284181 1946167905825 2125814174055 2512325842065 3070620473635 3543023623425 4187209736775 5527116852543 9211861420905 10629070870275 12561629210325 15353102368175 27635584262715 46059307104525 138177921313575
• Sum of all divisors σ(n): 296658606644400
• Sum of proper divisors (its aliquot sum) s(n): 158480685330825
• 138177921313575 is an abundant number, because the sum of its proper divisors (158480685330825) is greater than itself. Its abundance is 20302764017250

Bases of 138177921313575

• Binary: 11111011010110000001101111010100110101100100111₂
• Hexadecimal: 0x7DAC0DEA6B27
• Base-36: 1CZA26P9NR

Squares and roots of 138177921313575

• 138177921313575 squared (138177921313575²) is 19093137938540524253479280625
• 138177921313575 cubed (138177921313575³) is 2638250111700886144673688906122846046984375
• The square root of 138177921313575 is 11754910.5191649587
• The cube root of 138177921313575 is 51698.6915595783

Scales and comparisons

• 138,177,921,313,575 seconds is equal to 4,393,630 years, 25 weeks, 1 day, 16 hours, 26 minutes, 15 seconds.
• To count from 1 to 138,177,921,313,575 would take you about ten million, nine hundred eighty-four thousand and seventy-six 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 138177921313575 cubic inches would be around 4308.2 feet tall.

Recreational maths with 138177921313575

• 138177921313575 backwards is 575313129771831
• The number of decimal digits it has is: 15
• The sum of 138177921313575's digits is 63
• More coming soon!