137572753844421315

Names of 137572753844421315

• Cardinal: 137572753844421315 can be written as One hundred thirty-seven quadrillion, five hundred seventy-two trillion, seven hundred fifty-three billion, eight hundred forty-four million, four hundred twenty-one thousand, three hundred fifteen.

Scientific notation

• Scientific notation: 1.37572753844421315 × 10¹⁷

Factors of 137572753844421315

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5676

Divisors of 137572753844421315

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 5 7 9 15 21 29 35 45 63 87 105 131 145 203 261 315 393 435 609 655 841 917 1015 1179 1305 1827 1965 2523 2751 3045 3799 4205 4585 5501 5887 5895 7569 8253 9135 11397 12615 13755 16503 17161 17661 18995 26593 27505 29435 34191 37845 38507 41265 49509 51483 52983 56985 79779 82515 85805 88305 110171 115521 120127 132965 154449 159529 170955 192535 239337 247545 257415 264915 330513 346563 360381 398895 478587 497669 550855 577605 600635 720631 771197 772245 797645 991539 1081143 1116703 1196685 1435761 1493007 1652565 1732815 1801905 2161893 2313591 2392935 2488345 3350109 3483683 3603155 3855985 4479021 4626341 4957695 5044417 5405715 5583515 6485679 6940773 7178805 7465035 10050327 10451049 10809465 11567955 13879023 14432401 15133251 16750545 17418415 20898299 22395105 23131705 25222085 30261001 31353147 32384387 32428395 34703865 41637069 43297203 45399753 50251635 52255245 62694897 69395115 72162005 75666255 90783003 94402661 97153161 101026807 104491495 129891609 146288093 151305005 156765735 161921935 188084691 208185345 211827007 216486015 226998765 272349009 283207983 291459483 303080421 313474485 438864279 453915015 472013305 485765805 505134035 606050671 635481021 649458045 660818627 731440465 849623949 877569029 909241263 940423455 1059135035 1316592837 1361745045 1416039915 1457297415 1515402105 1818152013 1906443063 1982455881 2194321395 2632707087 2737677169 3030253355 3177405105 3304093135 3964191131 4242354697 4248119745 4387845145 4546206315 5454456039 5947367643 6142983203 6582964185 7898121261 8213031507 9090760065 9532215315 9912279405 11892573393 12727064091 13163535435 13688385845 18428949609 19163740183 19820955655 21211773485 24639094521 25449501841 27272280195 27749337917 29736838215 30714916015 35677720179 38181192273 39490606305 41065157535 55286848827 57491220549 59462866965 63635320455 76348505523 79392637901 83248013751 92144748045 95818700915 114961542799 123195472605 127247509205 138746689585 172473661647 178146512887 178388600895 190905961365 229045516569 238177913703 249744041253 276434244135 287456102745 344884628397 381742527615 396963189505 416240068755 519309038161 534439538661 555748465307 574807713995 714533741109 804730799593 862368308235 890732564435 1034653885191 1145227582845 1190889568515 1248720206265 1557927114483 1603318615983 1667245395921 1724423141985 2414192398779 2596545190805 2672197693305 2778742326535 3333884741171 3572668705545 3635163267127 4023653997965 4673781343449 5001736187763 5173269425955 7242577196337 7789635572415 8016593079915 8336226979605 10001654223513 10905489801381 12070961993895 15059962106669 16669423705855 18175816335635 23337193188197 23368906717245 25008680938815 30004962670539 32716469404143 36212885981685 45179886320007 50008271117565 54527449006905 70011579564591 75299810533345 105419734746683 116685965940985 135539658960021 150024813352695 163582347020715 210034738693773 225899431600035 316259204240049 350057897822955 436738901093401 527098673733415 677698294800105 948777612720147 1050173693468865 1310216703280203 1581296021200245 2183694505467005 3057172307653807 3930650109840609 4743888063600735 6551083516401015 9171516922961421 15285861538269035 19653250549203045 27514550768884263 45857584614807105 137572753844421315
• Sum of all divisors σ(n): 284469252466532016
• Sum of proper divisors (its aliquot sum) s(n): 146896498622110701
• 137572753844421315 is an abundant number, because the sum of its proper divisors (146896498622110701) is greater than itself. Its abundance is 9323744777689386

Bases of 137572753844421315

• Binary: 111101000110000011011000011010011101010110100001011000011₂
• Hexadecimal: 0x1E8C1B0D3AB42C3
• Base-36: 11MLGYMNQ3ER

Squares and roots of 137572753844421315

• 137572753844421315 squared (137572753844421315²) is 18926262600337739705907747226329225
• 137572753844421315 cubed (137572753844421315³) is 2603738065911141134151652756544558749150951797430875
• The square root of 137572753844421315 is 370908012.6452127685
• The cube root of 137572753844421315 is 516231.0748248969

Scales and comparisons

• 137,572,753,844,421,315 seconds is equal to 4,374,388,031 years, 40 weeks, 5 days, 16 hours, 35 minutes, 15 seconds.
• To count from 1 to 137,572,753,844,421,315 would take you about thirteen billion, one hundred twenty-three million, one hundred sixty-four thousand and ninety-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 137572753844421315 cubic inches would be around 43019.3 feet tall.

Recreational maths with 137572753844421315

• 137572753844421315 backwards is 513124448357275731
• The number of decimal digits it has is: 18
• The sum of 137572753844421315's digits is 72
• More coming soon!