137109083734016000

Names of 137109083734016000

• Cardinal: 137109083734016000 can be written as One hundred thirty-seven quadrillion, one hundred nine trillion, eighty-three billion, seven hundred thirty-four million, sixteen thousand.

Scientific notation

• Scientific notation: 1.37109083734016 × 10¹⁷

Factors of 137109083734016000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 310

Divisors of 137109083734016000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 100 116 125 128 136 145 160 170 200 232 250 256 257 272 290 320 340 400 425 464 493 500 512 514 544 580 640 680 725 800 850 928 986 1000 1024 1028 1088 1160 1280 1285 1360 1450 1600 1700 1856 1972 2000 2048 2056 2125 2176 2320 2465 2560 2570 2720 2900 3200 3400 3625 3712 3944 4000 4096 4112 4250 4352 4369 4640 4930 5120 5140 5440 5800 6400 6425 6800 7250 7424 7453 7888 8000 8192 8224 8500 8704 8738 9280 9860 10240 10280 10880 11600 12325 12800 12850 13600 14500 14848 14906 15776 16000 16384 16448 17000 17408 17476 18560 19720 20480 20560 21760 21845 23200 24650 25600 25700 27200 29000 29696 29812 31552 32000 32125 32768 32896 34000 34816 34952 37120 37265 39440 40960 41120 43520 43690 46400 49300 51200 51400 54400 58000 59392 59624 61625 63104 64000 64250 65536 65792 66049 68000 69632 69904 74240 74530 78880 81920 82240 87040 87380 92800 98600 102400 102800 108800 109225 116000 118784 119248 123250 126208 126701 128000 128500 131072 131584 132098 136000 139264 139808 148480 149060 157760 163840 164480 174080 174760 185600 186325 197200 204800 205600 217600 218450 232000 237568 238496 246500 252416 253402 256000 257000 263168 264196 272000 278528 279616 296960 298120 315520 327680 328960 330245 348160 349520 371200 372650 394400 409600 411200 435200 436900 464000 475136 476992 493000 504832 506804 512000 514000 526336 528392 544000 546125 557056 559232 593920 596240 631040 633505 655360 657920 660490 696320 699040 742400 745300 788800 819200 822400 870400 873800 928000 931625 950272 953984 986000 1009664 1013608 1024000 1028000 1052672 1056784 1088000 1092250 1114112 1118464 1122833 1187840 1192480 1262080 1267010 1315840 1320980 1392640 1398080 1484800 1490600 1577600 1638400 1644800 1651225 1740800 1747600 1856000 1863250 1900544 1907968 1915421 1972000 2019328 2027216 2048000 2056000 2105344 2113568 2176000 2184500 2228224 2236928 2245666 2375680 2384960 2524160 2534020 2631680 2641960 2785280 2796160 2969600 2981200 3155200 3167525 3276800 3289600 3302450 3481600 3495200 3712000 3726500 3801088 3815936 3830842 3944000 4038656 4054432 4096000 4112000 4210688 4227136 4352000 4369000 4473856 4491332 4751360 4769920 5048320 5068040 5263360 5283920 5570560 5592320 5614165 5939200 5962400 6310400 6335050 6579200 6604900 6963200 6990400 7424000 7453000 7631872 7661684 7888000 8077312 8108864 8192000 8224000 8256125 8421376 8454272 8704000 8738000 8947712 8982664 9502720 9539840 9577105 10096640 10136080 10526720 10567840 11141120 11184640 11228330 11878400 11924800 12620800 12670100 13158400 13209800 13926400 13980800 14848000 14906000 15263744 15323368 15776000 15837625 16154624 16217728 16384000 16448000 16512250 16842752 16908544 16974593 17408000 17476000 17895424 17965328 19005440 19079680 19154210 20193280 20272160 21053440 21135680 22369280 22456660 23756800 23849600 25241600 25340200 26316800 26419600 27852800 27961600 28070825 29696000 29812000 30527488 30646736 31552000 31675250 32309248 32435456 32562157 32896000 33024500 33685504 33817088 33949186 34816000 34952000 35790848 35930656 38159360 38308420 40386560 40544320 42106880 42271360 44738560 44913320 47513600 47699200 47885525 50483200 50680400 52633600 52839200 55705600 55923200 56141650 59392000 59624000 61054976 61293472 63104000 63350500 64618496 64870912 65124314 65792000 66049000 67634176 67898372 69632000 69904000 71581696 71861312 76318720 76616840 80773120 81088640 84213760 84542720 84872965 89477120 89826640 95027200 95398400 95771050 100966400 101360800 105267200 105678400 111846400 112283300 118784000 119248000 122109952 122586944 126208000 126701000 129741824 130248628 131584000 132098000 135268352 135796744 139264000 139808000 140354125 143163392 143722624 152637440 153233680 161546240 162177280 162810785 168427520 169085440 169745930 178954240 179653280 190796800 191542100 201932800 202721600 210534400 211356800 223692800 224566600 237568000 238496000 239427625 244219904 245173888 252416000 253402000 259483648 260497256 263168000 264196000 270536704 271593488 278528000 279616000 280708250 286326784 287445248 288568081 305274880 306467360 323092480 324354560 325621570 338170880 339491860 357908480 359306560 381593600 383084200 403865600 405443200 421068800 422713600 424364825 447385600 449133200 475136000 476992000 478855250 488439808 490347776 492263197 504832000 506804000 518967296 520994512 526336000 528392000 541073408 543186976 559232000 561416500 572653568 574890496 577136162 610549760 612934720 648709120 651243140 676341760 678983720 715816960 718613120 763187200 766168400 807731200 810886400 814053925 842137600 845427200 848729650 894771200 898266400 953984000 957710500 976879616 980695552 984526394 1009664000 1013608000 1037934592 1041989024 1052672000 1056784000 1082146816 1086373952 1118464000 1122833000 1149780992 1154272324 1221099520 1225869440 1297418240 1302486280 1352683520 1357967440 1431633920 1437226240 1442840405 1526374400 1532336800 1615462400 1621772800 1628107850 1690854400 1697459300 1789542400 1796532800 1907968000 1915421000 1961391104 1969052788 2019328000 2027216000 2075869184 2083978048 2105344000 2113568000 2121824125 2164293632 2172747904 2236928000 2245666000 2299561984 2308544648 2442199040 2451738880 2461315985 2594836480 2604972560 2705367040 2715934880 2863267840 2874452480 2885680810 3052748800 3064673600 3243545600 3256215700 3381708800 3394918600 3579084800 3593065600 3815936000 3830842000 3922782208 3938105576 4038656000 4054432000 4070269625 4151738368 4167956096 4210688000 4227136000 4243648250 4328587264 4345495808 4473856000 4491332000 4599123968 4617089296 4884398080 4903477760 4922631970 5189672960 5209945120 5410734080 5431869760 5748904960 5771361620 6105497600 6129347200 6487091200 6512431400 6763417600 6789837200 7158169600 7186131200 7214202025 7631872000 7661684000 7845564416 7876211152 8077312000 8108864000 8140539250 8303476736 8335912192 8368474349 8454272000 8487296500 8657174528 8690991616 8947712000 8982664000 9198247936 9234178592 9806955520 9845263940 10379345920 10419890240 10821468160 10863739520 11497809920 11542723240 12210995200 12258694400 12306579925 12974182400 13024862800 13526835200 13579674400 14316339200 14372262400 14428404050 15263744000 15323368000 15691128832 15752422304 16217728000 16281078500 16606953472 16671824384 16736948698 16908544000 16974593000 17381983232 17895424000 17965328000 18396495872 18468357184 19613911040 19690527880 20758691840 20839780480 21642936320 21727479040 22995619840 23085446480 24421990400 24517388800 24613159850 25948364800 26049725600 27053670400 27159348800 28744524800 28856808100 30527488000 30646736000 31382257664 31504844608 32435456000 32562157000 33343648768 33473897396 33817088000 33949186000 34763966464 35790848000 35930656000 36071010125 36792991744 36936714368 39227822080 39381055760 41517383680 41679560960 41842371745 43285872640 43454958080 45991239680 46170892960 49034777600 49226319700 51896729600 52099451200 54107340800 54318697600 57489049600 57713616200 61054976000 61293472000 61532899625 62764515328 63009689216 64870912000 65124314000 66687297536 66947794792 67634176000 67898372000 69527932928 71581696000 71861312000 72142020250 73585983488 73873428736 78455644160 78762111520 83034767360 83359121920 83684743490 86909916160 91982479360 92341785920 98069555200 98452639400 103793459200 104198902400 108214681600 108637395200 114978099200 115427232400 122109952000 122586944000 123065799250 125529030656 126019378432 129741824000 130248628000 133374595072 133895589584 135268352000 135796744000 139055865856 143722624000 144284040500 147171966976 147746857472 156911288320 157524223040 166718243840 167369486980 173819832320 183964958720 184683571840 196139110400 196905278800 207586918400 208397804800 209211858725 216429363200 217274790400 229956198400 230854464800 245173888000 246131598500 251058061312 252038756864 259483648000 260497256000 266749190144 267791179168 270536704000 271593488000 278111731712 287445248000 288568081000 295493714944 313822576640 315048446080 333436487680 334738973960 347639664640 367929917440 369367143680 392278220800 393810557600 415173836800 416795609600 418423717450 434549580800 459912396800 461708929600 490347776000 492263197000 504077513728 518967296000 520994512000 533498380288 535582358336 541073408000 543186976000 556223463424 574890496000 577136162000 590987429888 627645153280 630096892160 666872975360 669477947920 695279329280 735859834880 738734287360 784556441600 787621115200 833591219200 836847434900 869099161600 919824793600 923417859200 980695552000 984526394000 1008155027456 1037934592000 1041989024000 1046059293625 1066996760576 1071164716672 1082146816000 1086373952000 1112446926848 1149780992000 1154272324000 1181974859776 1255290306560 1260193784320 1333745950720 1338955895840 1390558658560 1477468574720 1569112883200 1575242230400 1667182438400 1673694869800 1738198323200 1839649587200 1846835718400 1961391104000 1969052788000 2016310054912 2075869184000 2083978048000 2092118587250 2133993521152 2142329433344 2172747904000 2224893853696 2299561984000 2308544648000 2363949719552 2520387568640 2667491901440 2677911791680 2781117317120 2954937149440 3138225766400 3150484460800 3334364876800 3347389739600 3476396646400 3679299174400 3693671436800 3922782208000 3938105576000 4032620109824 4167956096000 4184237174500 4267987042304 4284658866688 4345495808000 4599123968000 4617089296000 4727899439104 5040775137280 5334983802880 5355823583360 5562234634240 5909874298880 6276451532800 6300968921600 6668729753600 6694779479200 6952793292800 7387342873600 7845564416000 7876211152000 8065240219648 8335912192000 8368474349000 8569317733376 8690991616000 9198247936000 9234178592000 9455798878208 10081550274560 10669967605760 10711647166720 11124469268480 11819748597760 12601937843200 13337459507200 13389558958400 13905586585600 14774685747200 15691128832000 15752422304000 16130480439296 16671824384000 16736948698000 17138635466752 17381983232000 18396495872000 18468357184000 18911597756416 20163100549120 21339935211520 21423294333440 23639497195520 25203875686400 26674919014400 26779117916800 27811173171200 29549371494400 31382257664000 31504844608000 32260960878592 33343648768000 33473897396000 34277270933504 34763966464000 36936714368000 37823195512832 40326201098240 42846588666880 47278994391040 50407751372800 53349838028800 53558235833600 55622346342400 59098742988800 63009689216000 64521921757184 66687297536000 66947794792000 68554541867008 69527932928000 73873428736000 80652402196480 85693177333760 94557988782080 100815502745600 106699676057600 107116471667200 118197485977600 126019378432000 133374595072000 133895589584000 137109083734016 139055865856000 147746857472000 161304804392960 171386354667520 189115977564160 201631005491200 214232943334400 236394971955200 252038756864000 266749190144000 267791179168000 274218167468032 278111731712000 295493714944000 322609608785920 342772709335040 403262010982400 428465886668800 472789943910400 504077513728000 533498380288000 535582358336000 548436334936064 590987429888000 685545418670080 806524021964800 856931773337600 945579887820800 1008155027456000 1071164716672000 1096872669872128 1181974859776000 1371090837340160 1613048043929600 1713863546675200 2016310054912000 2142329433344000 2363949719552000 2742181674680320 3427727093350400 4032620109824000 4284658866688000 4727899439104000 5484363349360640 6855454186700800 8065240219648000 8569317733376000 13710908373401600 17138635466752000 27421816746803200 34277270933504000 68554541867008000 137109083734016000
• Sum of all divisors σ(n): 376312939126488000
• Sum of proper divisors (its aliquot sum) s(n): 239203855392472000
• 137109083734016000 is an abundant number, because the sum of its proper divisors (239203855392472000) is greater than itself. Its abundance is 102094771658456000

Bases of 137109083734016000

• Binary: 111100111000110111111110000110111011100100000000000000000₂
• Hexadecimal: 0x1E71BFC37720000
• Base-36: 11I143IRLHQ8

Squares and roots of 137109083734016000

• 137109083734016000 squared (137109083734016000²) is 18798900842381410873435488256000000
• 137109083734016000 cubed (137109083734016000³) is 2577500069705536781824402538113052595716096000000000
• The square root of 137109083734016000 is 370282437.7877190113
• The cube root of 137109083734016000 is 515650.4600145051

Scales and comparisons

• 137,109,083,734,016,000 seconds is equal to 4,359,644,756 years, 25 weeks, 6 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 137,109,083,734,016,000 would take you about thirteen billion, seventy-eight million, nine hundred thirty-four thousand, two hundred sixty-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 137109083734016000 cubic inches would be around 42970.9 feet tall.

Recreational maths with 137109083734016000

• 137109083734016000 backwards is 000610437380901731
• The number of decimal digits it has is: 18
• The sum of 137109083734016000's digits is 53
• More coming soon!