137906227831204508936624

Names of 137906227831204508936624

• Cardinal: 137906227831204508936624 can be written as One hundred thirty-seven sextillion, nine hundred six quintillion, two hundred twenty-seven quadrillion, eight hundred thirty-one trillion, two hundred four billion, five hundred eight million, nine hundred thirty-six thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.37906227831204508936624 × 10²³

Factors of 137906227831204508936624

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 6342632855

Divisors of 137906227831204508936624

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 661 728 784 1274 1322 1456 2548 2644 4627 5096 5288 8593 9254 10192 10576 17186 18508 32389 34372 37016 60151 64778 68744 74032 120302 129556 137488 240604 259112 421057 481208 518224 842114 962416 1684228 3229049 3368456 6458098 6736912 12916196 22603343 25832392 41977637 45206686 51664784 83955274 90413372 158223401 167910548 180826744 293843459 316446802 335821096 361653488 587686918 632893604 671642192 1175373836 1265787208 2056904213 2134401389 2350747672 2531574416 4113808426 4268802778 4701495344 6339403123 8227616852 8537605556 12678806246 14940809723 16455233704 17075211112 25357612492 27747218057 29881619446 32910467408 34150422224 44375821861 50715224984 55494436114 59763238892 82412240599 88751643722 101430449968 104585668061 110988872228 119526477784 164824481198 177503287444 194230526399 209171336122 221977744456 239052955568 310630753027 329648962396 355006574888 388461052798 418342672244 443955488912 576885684193 621261506054 659297924792 710013149776 776922105596 836685344488 1153771368386 1242523012108 1318595849584 1359613684793 1553844211192 1673370688976 2307542736772 2485046024216 2719227369586 3107688422384 4038199789351 4190345464303 4615085473544 4970092048432 5438454739172 8076399578702 8380690928606 9230170947088 10876909478344 16152799157404 16761381857212 21753818956688 29332418250121 32305598314808 33522763714424 54474491035939 58664836500242 64611196629616 67045527428848 108948982071878 117329673000484 205326927750847 217897964143756 234659346000968 381321437251573 410653855501694 435795928287512 469318692001936 762642874503146 821307711003388 871591856575024 1525285749006292 1642615422006776 2669250060761011 3050571498012584 3285230844013552 5338500121522022 6101142996025168 10677000243044044 20470243314920027 21354000486088088 40940486629840054 42708000972176176 81880973259680108 143291703204440189 163761946519360216 266113163093960351 286583406408880378 327523893038720432 532226326187920702 573166812817760756 1003041922431081323 1064452652375841404 1146333625635521512 1862792141657722457 2006083844862162646 2128905304751682808 2292667251271043024 3725584283315444914 4012167689724325292 4257810609503365616 7451168566630889828 8024335379448650584 13039544991604057199 13530830831162137847 14902337133261779656 16048670758897301168 26079089983208114398 27061661662324275694 29804674266523559312 52158179966416228796 54123323324648551388 94715815818134964929 104316359932832457592 108246646649297102776 175900800805107792011 189431631636269929858 208632719865664915184 216493293298594205552 351801601610215584022 378863263272539859716 663010710726944754503 703603203220431168044 757726526545079719432 1231305605635754544077 1326021421453889509006 1407206406440862336088 1515453053090159438864 2462611211271509088154 2652042842907779018012 2814412812881724672176 4925222422543018176308 5304085685815558036024 8619139239450281808539 9850444845086036352616 10608171371631116072048 17238278478900563617078 19700889690172072705232 34476556957801127234156 68953113915602254468312 137906227831204508936624
• Sum of all divisors σ(n): 335232189850884426223200
• Sum of proper divisors (its aliquot sum) s(n): 197325962019679917286576
• 137906227831204508936624 is an abundant number, because the sum of its proper divisors (197325962019679917286576) is greater than itself. Its abundance is 59419734188475408349952

Bases of 137906227831204508936624

• Binary: 11101001100111110100101011110000000011111100010001001000010010010100110110000₂
• Hexadecimal: 0x1D33E95E01F8890929B0
• Base-36: MGG2V7N78RE5CQ8

Squares and roots of 137906227831204508936624

• 137906227831204508936624 squared (137906227831204508936624²) is 19018127674632085076576131591870247079248517376
• 137906227831204508936624 cubed (137906227831204508936624³) is 2622718248020747940740201558304537485383741226117179547601594346778624
• The square root of 137906227831204508936624 is 371357277875.6389324367
• The cube root of 137906227831204508936624 is 51664784.9999999989

Scales and comparisons

• 137,906,227,831,204,508,936,624 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,906,227,831,204,508,936,624 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 137906227831204508936624 cubic inches would be around 4305398.8 feet tall.

Recreational maths with 137906227831204508936624

• 137906227831204508936624 backwards is 426639805402138722609731
• 137906227831204508936624 is a Harshad number.
• The number of decimal digits it has is: 24
• The sum of 137906227831204508936624's digits is 98
• More coming soon!