137123968412113875

Names of 137123968412113875

• Cardinal: 137123968412113875 can be written as One hundred thirty-seven quadrillion, one hundred twenty-three trillion, nine hundred sixty-eight billion, four hundred twelve million, one hundred thirteen thousand, eight hundred seventy-five.

Scientific notation

• Scientific notation: 1.37123968412113875 × 10¹⁷

Factors of 137123968412113875

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1137

Divisors of 137123968412113875

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 5 9 15 17 19 25 45 51 57 75 85 95 125 153 171 225 255 285 289 323 375 425 475 765 855 867 969 1093 1125 1275 1425 1445 1615 2125 2375 2601 2907 3279 3825 4275 4335 4845 4913 5465 5491 6375 7125 7225 8075 9837 13005 14535 14739 16395 16473 18581 19125 20767 21375 21675 24225 24565 27325 27455 36125 40375 44217 49185 49419 55743 62301 65025 72675 73695 81975 82365 92905 93347 103835 108375 121125 122825 136625 137275 167229 186903 221085 245925 247095 278715 280041 311505 315877 325125 353039 363375 368475 409875 411825 464525 466735 519175 614125 686375 836145 840123 934515 947631 1059117 1105425 1194649 1229625 1235475 1393575 1400205 1557525 1579385 1765195 1842375 2059125 2322625 2333675 2595875 2842893 3177351 3583947 4180725 4200615 4672575 4738155 5295585 5369909 5527125 5973245 6001663 6177375 6967875 7001025 7787625 7896925 8825975 10751841 11668375 14214465 15886755 16109727 17919735 18004989 20309033 20903625 21003075 22698331 23362875 23690775 26477925 26849545 29866225 30008315 35005125 39484625 44129875 48329181 53759205 54014967 60927099 68094993 71072325 79433775 80548635 89598675 90024945 101545165 102028271 105015375 113491655 118453875 132389625 134247725 149331125 150041575 182781297 204284979 241645905 268796025 270074835 304635495 306084813 340474965 345253561 355361625 385871627 397168875 402743175 447993375 450124725 507725825 510141355 567458275 671238625 750207875 913906485 918254439 1021424895 1035760683 1157614881 1208229525 1305751357 1343980125 1350374175 1523177475 1530424065 1702374825 1726267805 1929358135 2013715875 2250623625 2538629125 2550706775 2837291375 3107282049 3472844643 3917254071 4569532425 4591272195 5107124475 5178803415 5788074405 5869310537 6041147625 6528756785 6559817659 6751870875 7615887375 7652120325 8511874125 8631339025 9646790675 11751762213 12753533875 15536410245 17364223215 17607931611 19586270355 19679452977 22197773069 22847662125 22956360975 24809275783 25535622375 25894017075 28940372025 29346552685 32643783925 32799088295 38260601625 43156695125 48233953375 52823794833 58758811065 59038358931 66593319207 74427827349 77682051225 86821116075 88039658055 97931351775 98397264885 110988865345 111516900203 114781804875 124046378915 129470085375 144701860125 146732763425 163218919625 163995441475 199779957621 223283482047 264118974165 293794055325 295191794655 332966596035 334550700609 372139136745 377362142173 388410256125 421757688311 434105580375 440198290275 489656758875 491986324425 554944326725 557584501015 620231894575 733663817125 819977207375 998899788105 1003652101827 1116417410235 1132086426519 1265273064933 1320594870825 1468970276625 1475958973275 1664832980175 1672753503045 1860695683725 1886810710865 2108788441555 2200991451375 2459931622125 2774721633625 2787922505075 3101159472875 3396259279557 3795819194799 4994498940525 5018260509135 5582087051175 5660432132595 6326365324665 6415156416941 6602974354125 7169880701287 7379794866375 8324164900875 8363767515225 9303478418625 9434053554325 10543942207775 13939612525375 16981296397785 18979095973995 19245469250823 21509642103861 24972494702625 25091302545675 27910435255875 28302160662975 31631826623325 32075782084705 35849403506435 41818837576125 47170267771625 52719711038875 57736407752469 64528926311583 84906481988925 94895479869975 96227346254115 107548210519305 121887971921879 125456512728375 141510803314875 158159133116625 160378910423525 179247017532175 288682038762345 322644631557915 365663915765637 424532409944625 474477399349875 481136731270575 537741052596525 609439859609395 801894552117625 896235087660875 1096991747296911 1443410193811725 1613223157789575 1828319578828185 2405683656352875 2688705262982625 3047199298046975 5484958736484555 7217050969058625 8066115788947875 9141597894140925 15235996490234875 27424793682422775 45707989470704625 137123968412113875
• Sum of all divisors σ(n): 276711022242720000
• Sum of proper divisors (its aliquot sum) s(n): 139587053830606125
• 137123968412113875 is an abundant number, because the sum of its proper divisors (139587053830606125) is greater than itself. Its abundance is 2463085418492250

Bases of 137123968412113875

• Binary: 111100111001010011000010111010011011001010101101111010011₂
• Hexadecimal: 0x1E72985D3655BD3
• Base-36: 11I6E1G4MIMR

Squares and roots of 137123968412113875

• 137123968412113875 squared (137123968412113875²) is 18802982713086403785549845967515625
• 137123968412113875 cubed (137123968412113875³) is 2578339607602783281372867014732157629325988341796875
• The square root of 137123968412113875 is 370302536.3295718435
• The cube root of 137123968412113875 is 515669.1191559973

Scales and comparisons

• 137,123,968,412,113,875 seconds is equal to 4,360,118,043 years, 11 weeks, 3 days, 19 hours, 11 minutes, 15 seconds.
• To count from 1 to 137,123,968,412,113,875 would take you about thirteen billion, eighty million, three hundred fifty-four thousand, one hundred twenty-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 137123968412113875 cubic inches would be around 42972.4 feet tall.

Recreational maths with 137123968412113875

• 137123968412113875 backwards is 578311214869321731
• The number of decimal digits it has is: 18
• The sum of 137123968412113875's digits is 72
• More coming soon!