137382023504000

Names of 137382023504000

• Cardinal: 137382023504000 can be written as One hundred thirty-seven trillion, three hundred eighty-two billion, twenty-three million, five hundred four thousand.

Scientific notation

• Scientific notation: 1.37382023504 × 10¹⁴

Factors of 137382023504000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 16717

Divisors of 137382023504000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 121 125 128 152 160 176 190 200 209 220 227 242 250 275 304 320 352 380 400 418 440 454 475 484 500 550 605 608 640 704 760 800 836 880 908 950 968 1000 1045 1100 1135 1210 1216 1375 1408 1520 1600 1672 1760 1816 1900 1936 2000 2090 2200 2270 2299 2375 2420 2432 2497 2750 3025 3040 3200 3344 3520 3632 3800 3872 4000 4180 4313 4400 4540 4598 4750 4840 4994 5225 5500 5675 6050 6080 6688 7040 7264 7600 7744 8000 8360 8626 8800 9080 9196 9500 9680 9988 10450 11000 11350 11495 12100 12160 12485 13376 14528 15125 15200 15488 16000 16453 16720 17252 17600 18160 18392 19000 19360 19976 20900 21565 22000 22700 22990 24200 24970 26125 26752 27467 28375 29056 30250 30400 32906 33440 34504 35200 36320 36784 38000 38720 39952 41800 43130 44000 45400 45980 47443 48400 49940 52250 54934 56750 57475 60500 60800 62425 65812 66880 69008 72640 73568 76000 77440 79904 82265 83600 86260 88000 90800 91960 94886 96800 99880 104500 107825 109868 113500 114950 121000 124850 131624 133760 137335 138016 145280 147136 152000 159808 164530 167200 172520 176000 180983 181600 183920 189772 193600 199760 209000 215650 219736 227000 229900 237215 242000 249700 263248 274670 276032 287375 294272 304000 312125 312607 319616 329060 334400 345040 361966 363200 367840 379544 387200 399520 411325 418000 431300 439472 454000 459800 474430 484000 499400 521873 526496 539125 549340 552064 574750 624250 625214 658120 668800 686675 690080 723932 726400 735680 759088 799040 822650 836000 862600 878944 904915 908000 919600 948860 968000 998800 1043746 1052992 1078250 1098680 1149500 1186075 1248500 1250428 1316240 1373350 1380160 1447864 1471360 1518176 1563035 1598080 1645300 1672000 1725200 1757888 1809830 1816000 1839200 1897720 1936000 1990813 1997600 2056625 2087492 2105984 2156500 2197360 2299000 2372150 2497000 2500856 2609365 2632480 2746700 2760320 2895728 3036352 3126070 3290600 3344000 3433375 3438677 3450400 3515776 3619660 3632000 3678400 3734831 3795440 3981626 3995200 4113250 4174984 4313000 4394720 4524575 4598000 4744300 4994000 5001712 5218730 5264960 5493400 5791456 5930375 6072704 6252140 6581200 6866750 6877354 6900800 7239320 7356800 7469662 7590880 7815175 7963252 7990400 8226500 8349968 8626000 8789440 9049150 9196000 9488600 9954065 9988000 10003424 10437460 10529920 10986800 11582912 11860750 12504280 13046825 13162400 13733500 13754708 13801600 14478640 14939324 15181760 15630350 15926504 16453000 16699936 17193385 17252000 17578880 18098300 18392000 18674155 18977200 19908130 19976000 20006848 20874920 21973600 22622875 23165824 23721500 25008560 26093650 26324800 27467000 27509416 28957280 29878648 30363520 31260700 31853008 32906000 33399872 34386770 34504000 36196600 36784000 37348310 37825447 37954400 39075875 39816260 39952000 40013696 41083141 41749840 43947200 45245750 47443000 49770325 50017120 52187300 52649600 54934000 55018832 57914560 59757296 62521400 63706016 65234125 65812000 66799744 68773540 69008000 70961789 72393200 74696620 75650894 75908800 78151750 79632520 82166282 83499680 85966925 87894400 90491500 93370775 94886000 99540650 100034240 104374600 109868000 110037664 115829120 119514592 125042800 127412032 130468250 131624000 137547080 141923578 144786400 149393240 151301788 151817600 156303500 159265040 164332564 166999360 171933850 180983000 186741550 189127235 189772000 199081300 200068480 205415705 208749200 219736000 220075328 239029184 248851625 250085600 254824064 260936500 263248000 275094160 283847156 289572800 298786480 302603576 312607000 318530080 328665128 333998720 343867700 354808945 361966000 373483100 378254470 379544000 398162600 410831410 417498400 429834625 439472000 440150656 451914551 466853875 478058368 497703250 500171200 521873000 550188320 567694312 579145600 597572960 605207152 625214000 637060160 657330256 687735400 709617890 723932000 746966200 756508940 759088000 780579679 796325200 821662820 834996800 859669250 903829102 933707750 945636175 995406500 1000342400 1027078525 1043746000 1100376640 1135388624 1195145920 1210414304 1250428000 1274120320 1314660512 1375470800 1419235780 1447864000 1493932400 1513017880 1561159358 1592650400 1643325640 1669993600 1719338500 1774044725 1807658204 1867415500 1891272350 1990813000 2054157050 2087492000 2200753280 2259572755 2270777248 2390291840 2420828608 2500856000 2629321024 2750941600 2838471560 2895728000 2987864800 3026035760 3122318716 3185300800 3286651280 3438677000 3548089450 3615316408 3734831000 3782544700 3902898395 3981626000 4108314100 4174984000 4519145510 4541554496 4728180875 4841657216 5001712000 5135392625 5258642048 5501883200 5676943120 5975729600 6052071520 6244637432 6370601600 6573302560 6877354000 7096178900 7230632816 7469662000 7565089400 7805796790 7963252000 8216628200 8349968000 8586376469 8870223625 9038291020 9083108992 9456361750 10270785250 11003766400 11297863775 11353886240 11951459200 12104143040 12489274864 13146605120 13754708000 14192357800 14461265632 14939324000 15130178800 15611593580 15926504000 16433256400 17172752938 17740447250 18076582040 18912723500 19514491975 20541570500 22595727550 22707772480 24208286080 24978549728 26293210240 27509416000 28384715600 28922531264 29878648000 30260357600 31223187160 31853008000 32866512800 34345505876 35480894500 36153164080 37825447000 39028983950 41083141000 42931882345 45191455100 45415544960 49957099456 55018832000 56489318875 56769431200 57845062528 59757296000 60520715200 62446374320 65733025600 68691011752 70961789000 72306328160 75650894000 78057967900 82166282000 85863764690 90382910200 97572459875 99914198912 112978637750 113538862400 121041430400 124892748640 131466051200 137382023504 141923578000 144612656320 151301788000 156115935800 164332564000 171727529380 180765820400 195144919750 214659411725 225957275500 227077724800 249785497280 274764047008 283847156000 289225312640 302603576000 312231871600 328665128000 343455058760 361531640800 390289839500 429318823450 451914551000 499570994560 549528094016 567694312000 605207152000 624463743200 657330256000 686910117520 723063281600 780579679000 858637646900 903829102000 1073297058625 1099056188032 1135388624000 1248927486400 1373820235040 1446126563200 1561159358000 1717275293800 1807658204000 2146594117250 2497854972800 2747640470080 3122318716000 3434550587600 3615316408000 4293188234500 5495280940160 6244637432000 6869101175200 7230632816000 8586376469000 12489274864000 13738202350400 17172752938000 27476404700800 34345505876000 68691011752000 137382023504000
• Sum of all divisors σ(n): 396965491977600
• Sum of proper divisors (its aliquot sum) s(n): 259583468473600
• 137382023504000 is an abundant number, because the sum of its proper divisors (259583468473600) is greater than itself. Its abundance is 122201444969600

Bases of 137382023504000

• Binary: 11111001111001010111110101101011010000010000000₂
• Hexadecimal: 0x7CF2BEB5A080
• Base-36: 1CP4FHP1FK

Squares and roots of 137382023504000

• 137382023504000 squared (137382023504000²) is 18873820382053608438016000000
• 137382023504000 cubed (137382023504000³) is 2592923635337563094219526839128064000000000
• The square root of 137382023504000 is 11721007.7853399619
• The cube root of 137382023504000 is 51599.2397560407

Scales and comparisons

• 137,382,023,504,000 seconds is equal to 4,368,323 years, 20 weeks, 4 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 137,382,023,504,000 would take you about ten million, nine hundred twenty thousand, eight hundred eight 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 137382023504000 cubic inches would be around 4299.9 feet tall.

Recreational maths with 137382023504000

• 137382023504000 backwards is 000405320283731
• 137382023504000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137382023504000's digits is 38
• More coming soon!