137729499922812000

Names of 137729499922812000

• Cardinal: 137729499922812000 can be written as One hundred thirty-seven quadrillion, seven hundred twenty-nine trillion, four hundred ninety-nine billion, nine hundred twenty-two million, eight hundred twelve thousand.

Scientific notation

• Scientific notation: 1.37729499922812 × 10¹⁷

Factors of 137729499922812000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3076654

Divisors of 137729499922812000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 79 80 84 96 100 105 112 120 125 140 150 158 160 168 175 200 210 224 237 240 250 280 300 316 336 350 375 395 400 420 474 480 500 525 553 560 600 632 672 700 750 790 800 840 875 948 1000 1050 1106 1120 1185 1200 1264 1400 1500 1580 1659 1680 1750 1896 1975 2000 2100 2212 2370 2400 2528 2625 2765 2800 3000 3160 3318 3360 3500 3792 3950 4000 4200 4424 4740 5250 5530 5600 5925 6000 6320 6636 6761 7000 7584 7900 8295 8400 8848 9480 9875 10500 11060 11850 12000 12640 13272 13522 13825 14000 15800 16590 16800 17696 18960 19750 20283 21000 22120 23700 26544 27044 27650 28000 29625 31600 33180 33805 37920 39500 40566 41475 42000 44240 47327 47400 53088 54088 55300 59250 63200 66360 67610 69125 79000 81132 82950 84000 88480 94654 94800 101415 108176 110600 118500 132720 135220 138250 141981 158000 162264 165900 169025 189308 189600 202830 207375 216352 221200 236635 237000 265440 270440 276500 283962 316000 324528 331800 338050 378616 405660 414750 442400 473270 474000 507075 534119 540880 553000 567924 649056 663600 676100 709905 757232 811320 829500 845125 946540 948000 1014150 1068238 1081760 1106000 1135848 1183175 1327200 1352200 1419810 1514464 1602357 1622640 1659000 1690250 1893080 2028300 2136476 2212000 2271696 2366350 2535375 2670595 2704400 2839620 3069797 3204714 3245280 3318000 3380500 3549525 3738833 3786160 4056600 4272952 4543392 4732700 5070750 5341190 5408800 5679240 5915875 6139594 6409428 6636000 6761000 7099050 7477666 7572320 8011785 8113200 8545904 9209391 9465400 10141500 10682380 11216499 11358480 11831750 12279188 12818856 13352975 13522000 14198100 14955332 15348985 16023570 16226400 17091808 17747625 18418782 18694165 18930800 20283000 21364760 21488579 22432998 22716960 23663500 24558376 25637712 26705950 27044000 28396200 29910664 30697970 32047140 35495250 36837564 37388330 37861600 40058925 40566000 42729520 42977158 44865996 46046955 47327000 49116752 51275424 53411900 56082495 56792400 59821328 61395940 64094280 64465737 66764875 70990500 73675128 74776660 76744925 80117850 81132000 85459040 85954316 89731992 92093910 93470825 94654000 98233504 106823800 107442895 112164990 113584800 119642656 122791880 128188560 128931474 133529750 141981000 147350256 149553320 153489850 160235700 171908632 179463984 184187820 186941650 189308000 200294625 213647600 214885790 224329980 230234775 242513963 245583760 256377120 257862948 267059500 280412475 283962000 294700512 299106640 306979700 320471400 322328685 343817264 358927968 368375640 373883300 383724625 400589250 427295200 429771580 448659960 460469550 467354125 485027926 491167520 515725896 534119000 537214475 560824950 567924000 598213280 613959400 640942800 644657370 687634528 727541889 736751280 747766600 767449250 801178500 859543160 897319920 920939100 934708250 970055852 1031451792 1068238000 1074428950 1121649900 1151173875 1212569815 1227918800 1281885600 1289314740 1402062375 1455083778 1473502560 1495533200 1534898500 1602357000 1611643425 1697597741 1719086320 1794639840 1841878200 1869416500 1940111704 2062903584 2136476000 2148857900 2243299800 2302347750 2425139630 2455837600 2578629480 2686072375 2804124750 2910167556 2991066400 3069797000 3204714000 3223286850 3395195482 3438172640 3637709445 3683756400 3738833000 3880223408 4297715800 4486599600 4604695500 4850279260 5092793223 5157258960 5372144750 5608249500 5820335112 6062849075 6139594000 6409428000 6446573700 6790390964 7275418890 7367512800 7477666000 7760446816 8058217125 8487988705 8595431600 8973199200 9209391000 9700558520 10185586446 10314517920 10744289500 11216499000 11640670224 12125698150 12279188000 12893147400 13580781928 14550837780 14955332000 16116434250 16975977410 17190863200 18188547225 18418782000 19401117040 20371172892 20754897517 21488579000 22432998000 23281340448 24251396300 25463966115 25786294800 27161563856 29101675560 30314245375 32232868500 33951954820 36377094450 36837564000 38802234080 40742345784 41509795034 42439943525 42977158000 44865996000 48502792600 50927932230 51572589600 54323127712 58203351120 60628490750 62264692551 64465737000 67903909640 72754188900 81484691568 83019590068 84879887050 85954316000 90942736125 97005585200 101855864460 103774487585 116406702240 121256981500 124529385102 127319830575 128931474000 135807819280 145284282619 145508377800 162969383136 166039180136 169759774100 181885472250 194011170400 203711728920 207548975170 212199717625 242513963000 249058770204 254639661150 257862948000 271615638560 290568565238 291016755600 311323462755 332078360272 339519548200 363770944500 407423457840 415097950340 424399435250 435852847857 485027926000 498117540408 509279322300 518872437925 581137130476 582033511200 622646925510 636599152875 664156720544 679039096400 726421413095 727541889000 814846915680 830195900680 848798870500 871705695714 970055852000 996235080816 1018558644600 1037744875850 1162274260952 1245293851020 1273198305750 1358078192800 1452842826190 1455083778000 1556617313775 1639636903843 1660391801360 1697597741000 1743411391428 1992470161632 2037117289200 2075489751700 2179264239285 2324548521904 2490587702040 2546396611500 2594362189625 2905685652380 2910167556000 3113234627550 3279273807686 3320783602720 3395195482000 3486822782856 3632107065475 4074234578400 4150979503400 4358528478570 4649097043808 4918910711529 4981175404080 5092793223000 5188724379250 5811371304760 6226469255100 6558547615372 6790390964000 6973645565712 7264214130950 7783086568875 8198184519215 8301959006800 8717056957140 9837821423058 9962350808160 10185586446000 10377448758500 10896321196425 11477458326901 11622742609520 12452938510200 13117095230744 13947291131424 14528428261900 15566173137750 16396369038430 16603918013600 17434113914280 18160535327375 19675642846116 20371172892000 20754897517000 21792642392850 22954916653802 23245485219040 24594553557645 24905877020400 26234190461488 29056856523800 31132346275500 32792738076860 34432374980703 34868227828560 36321070654750 39351285692232 40990922596075 41509795034000 43585284785700 45909833307604 49189107115290 49811754040800 52468380922976 54481605982125 57387291634505 58113713047600 62264692551000 65585476153720 68864749961406 69736455657120 72642141309500 78702571384464 81981845192150 83019590068000 87170569571400 91819666615208 98378214230580 108963211964250 114774583269010 116227426095200 122972767788225 124529385102000 131170952307440 137729499922812 145284282619000 157405142768928 163963690384300 172161874903515 174341139142800 183639333230416 196756428461160 204954612980375 217926423928500 229549166538020 245945535576450 249058770204000 262341904614880 275458999845624 286936458172525 290568565238000 327927380768600 344323749807030 348682278285600 367278666460832 393512856922320 409909225960750 435852847857000 459098333076040 491891071152900 550917999691248 573872916345050 581137130476000 614863838941125 655854761537200 688647499614060 787025713844640 819818451921500 860809374517575 871705695714000 918196666152080 983782142305800 1101835999382496 1147745832690100 1229727677882250 1311709523074400 1377294999228120 1434682290862625 1639636903843000 1721618749035150 1743411391428000 1836393332304160 1967564284611600 2295491665380200 2459455355764500 2754589998456240 2869364581725250 3279273807686000 3443237498070300 3935128569223200 4304046872587875 4590983330760400 4918910711529000 5509179996912480 5738729163450500 6558547615372000 6886474996140600 8608093745175750 9181966661520800 9837821423058000 11477458326901000 13772949992281200 17216187490351500 19675642846116000 22954916653802000 27545899984562400 34432374980703000 45909833307604000 68864749961406000 137729499922812000
• Sum of all divisors σ(n): 522263985200455680
• Sum of proper divisors (its aliquot sum) s(n): 384534485277643680
• 137729499922812000 is an abundant number, because the sum of its proper divisors (384534485277643680) is greater than itself. Its abundance is 246804985354831680

Bases of 137729499922812000

• Binary: 111101001010100000100000000011101111111011100110001100000₂
• Hexadecimal: 0x1E950401DFDCC60
• Base-36: 11O516S7QGDC

Squares and roots of 137729499922812000

• 137729499922812000 squared (137729499922812000²) is 18969415148987870713957987344000000
• 137729499922812000 cubed (137729499922812000³) is 2612648062298313722978000853226458872891328000000000
• The square root of 137729499922812000 is 371119252.9670375373
• The cube root of 137729499922812000 is 516427.0595728329

Scales and comparisons

• 137,729,499,922,812,000 seconds is equal to 4,379,372,072 years, 11 weeks, 6 days, 19 hours, 20 minutes.
• To count from 1 to 137,729,499,922,812,000 would take you about thirteen billion, one hundred thirty-eight million, one hundred sixteen thousand, two hundred sixteen 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 137729499922812000 cubic inches would be around 43035.6 feet tall.

Recreational maths with 137729499922812000

• 137729499922812000 backwards is 000218229994927731
• 137729499922812000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137729499922812000's digits is 75
• More coming soon!