137714338409403321648

Names of 137714338409403321648

• Cardinal: 137714338409403321648 can be written as One hundred thirty-seven quintillion, seven hundred fourteen quadrillion, three hundred thirty-eight trillion, four hundred nine billion, four hundred three million, three hundred twenty-one thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.37714338409403321648 × 10²⁰

Factors of 137714338409403321648

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 9905443

Divisors of 137714338409403321648

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 361 432 456 486 513 648 684 722 912 972 1026 1083 1296 1368 1444 1539 1944 2052 2166 2736 2888 3078 3249 3888 4104 4332 4617 5776 6156 6498 8208 8664 9234 9747 12312 12996 17328 18468 19494 24624 25992 29241 36936 38988 51984 58482 73872 77976 87723 116964 155952 175446 233928 350892 467856 701784 1403568 9905419 19810838 29716257 39621676 59432514 79243352 89148771 118865028 158486704 178297542 188202961 237730056 267446313 356595084 376405922 475460112 534892626 564608883 713190168 752811844 802338939 1069785252 1129217766 1426380336 1505623688 1604677878 1693826649 2139570504 2258435532 2407016817 3011247376 3209355756 3387653298 3575856259 4279141008 4516871064 4814033634 5081479947 6418711512 6775306596 7151712518 9033742128 9628067268 10162959894 10727568777 12837423024 13550613192 14303425036 15244439841 19256134536 20325919788 21455137554 27101226384 28606850072 30488879682 32182706331 38512269072 40651839576 42910275108 45733319523 57213700144 60977759364 64365412662 81303679152 85820550216 91466639046 96548118993 121955518728 128730825324 171641100432 182933278092 193096237986 243911037456 257461650648 289644356979 365866556184 386192475972 514923301296 579288713958 731733112368 772384951944 868933070937 1158577427916 1544769903888 1737866141874 2317154855832 3475732283748 4634309711664 6951464567496 13902929134992 98117325565561 196234651131122 294351976696683 392469302262244 588703953393366 784938604524488 883055930090049 1177407906786732 1569877209048976 1766111860180098 1864229185745659 2354815813573464 2649167790270147 3532223720360196 3728458371491318 4709631627146928 5298335580540294 5592687557236977 7064447440720392 7456916742982636 7947503370810441 10596671161080588 11185375114473954 14128894881440784 14913833485965272 15895006741620882 16778062671710931 21193342322161176 22370750228947908 23842510112431323 29827666971930544 31790013483241764 33556125343421862 35420354529167521 42386684644322352 44741500457895816 47685020224862646 50334188015132793 63580026966483528 67112250686843724 70840709058335042 89483000915791632 95370040449725292 100668376030265586 106261063587502563 127160053932967056 134224501373687448 141681418116670084 151002564045398379 190740080899450584 201336752060531172 212522127175005126 268449002747374896 283362836233340168 302005128090796758 318783190762507689 381480161798901168 402673504121062344 425044254350010252 453007692136195137 566725672466680336 604010256181593516 637566381525015378 805347008242124688 850088508700020504 906015384272390274 956349572287523067 1208020512363187032 1275132763050030756 1700177017400041008 1812030768544780548 1912699144575046134 2416041024726374064 2550265526100061512 2869048716862569201 3624061537089561096 3825398289150092268 5100531052200123024 5738097433725138402 7248123074179122192 7650796578300184536 8607146150587707603 11476194867450276804 15301593156600369072 17214292301175415206 22952389734900553608 34428584602350830412 45904779469801107216 68857169204701660824 137714338409403321648
• Sum of all divisors σ(n): 421826441126183399124
• Sum of proper divisors (its aliquot sum) s(n): 284112102716780077476
• 137714338409403321648 is an abundant number, because the sum of its proper divisors (284112102716780077476) is greater than itself. Its abundance is 146397764307376755828

Bases of 137714338409403321648

• Binary: 1110111011100101011100111010010010000111010011010110000110100110000₂
• Hexadecimal: 0x7772B9D243A6B0D30
• Base-36: T2AEIPCN20300

Squares and roots of 137714338409403321648

• 137714338409403321648 squared (137714338409403321648²) is 18965239003539658999121857824415745435904
• 137714338409403321648 cubed (137714338409403321648³) is 2611785342148675639707151255361258327918645727923093279649792
• The square root of 137714338409403321648 is 11735175261.1285410511
• The cube root of 137714338409403321648 is 5164081.0913467443

Scales and comparisons

• 137,714,338,409,403,321,648 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,714,338,409,403,321,648 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 137714338409403321648 cubic inches would be around 430340.1 feet tall.

Recreational maths with 137714338409403321648

• 137714338409403321648 backwards is 846123304904833417731
• 137714338409403321648 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137714338409403321648's digits is 81
• More coming soon!