138609178368000

Names of 138609178368000

• Cardinal: 138609178368000 can be written as One hundred thirty-eight trillion, six hundred nine billion, one hundred seventy-eight million, three hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.38609178368 × 10¹⁴

Factors of 138609178368000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 12205

Divisors of 138609178368000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 125 128 138 150 160 184 192 200 230 240 250 256 276 300 320 345 368 375 384 400 460 480 500 512 552 575 600 640 683 690 736 750 768 800 920 960 1000 1024 1104 1150 1200 1280 1366 1380 1472 1500 1536 1600 1725 1840 1920 2000 2048 2049 2208 2300 2400 2560 2732 2760 2875 2944 3000 3072 3200 3415 3450 3680 3840 4000 4098 4416 4600 4800 5120 5464 5520 5750 5888 6000 6144 6400 6830 6900 7360 7680 8000 8196 8625 8832 9200 9600 10240 10245 10928 11040 11489 11500 11776 12000 12800 13660 13800 14720 15360 15709 16000 16392 17075 17250 17664 18400 19200 20490 21856 22080 22978 23000 23552 24000 25600 27320 27600 29440 30720 31418 32000 32784 34150 34467 34500 35328 36800 38400 40980 43712 44160 45956 46000 47104 47127 48000 51200 51225 54640 55200 57445 58880 62836 64000 65568 68300 68934 69000 70656 73600 76800 78545 81960 85375 87424 88320 91912 92000 94254 96000 102450 109280 110400 114890 117760 125672 128000 131136 136600 137868 138000 141312 147200 153600 157090 163920 170750 172335 174848 176640 183824 184000 188508 192000 204900 218560 220800 229780 235520 235635 251344 256000 256125 262272 264247 273200 275736 276000 287225 294400 314180 327840 341500 344670 349696 353280 367648 368000 377016 384000 392725 409800 437120 441600 459560 471270 502688 512250 524544 528494 546400 551472 552000 574450 588800 628360 655680 683000 689340 699392 706560 735296 736000 754032 768000 785450 792741 819600 861675 874240 883200 919120 942540 1005376 1024500 1049088 1056988 1092800 1102944 1104000 1148900 1177600 1178175 1256720 1311360 1321235 1366000 1378680 1398784 1436125 1470592 1472000 1508064 1570900 1585482 1639200 1723350 1748480 1766400 1838240 1885080 1963625 2010752 2049000 2098176 2113976 2185600 2205888 2208000 2297800 2356350 2513440 2622720 2642470 2732000 2757360 2872250 2941184 2944000 3016128 3141800 3170964 3278400 3446700 3496960 3532800 3676480 3770160 3927250 3963705 4021504 4098000 4196352 4227952 4308375 4371200 4411776 4416000 4595600 4712700 5026880 5245440 5284940 5464000 5514720 5744500 5882368 5888000 5890875 6032256 6283600 6341928 6556800 6606175 6893400 6993920 7352960 7540320 7846987 7854500 7927410 8043008 8196000 8455904 8616750 8742400 8823552 8832000 9191200 9425400 10053760 10490880 10569880 10928000 11029440 11489000 11764736 11781750 12064512 12567200 12683856 13113600 13212350 13786800 14705920 15080640 15693974 15709000 15854820 16086016 16392000 16911808 17233500 17484800 17647104 17664000 18382400 18850800 19818525 20107520 20981760 21139760 21856000 22058880 22978000 23529472 23540961 23563500 24129024 25134400 25367712 26227200 26424700 27573600 29411840 30161280 31387948 31418000 31709640 32172032 32784000 33030875 33823616 34467000 34969600 35294208 36764800 37701600 39234935 39637050 40215040 42279520 43712000 44117760 45956000 47081922 47127000 48258048 50268800 50735424 52454400 52849400 55147200 58823680 60322560 62775896 62836000 63419280 65568000 66061750 67647232 68934000 70588416 73529600 75403200 78469870 79274100 80430080 84559040 87424000 88235520 91912000 94163844 94254000 96516096 99092625 100537600 101470848 104908800 105698800 110294400 117647360 117704805 120645120 125551792 125672000 126838560 131136000 132123500 135294464 137868000 147059200 150806400 156939740 158548200 160860160 169118080 174848000 176471040 180480701 183824000 188327688 188508000 196174675 198185250 201075200 202941696 211397600 220588800 235409610 241290240 251103584 251344000 253677120 262272000 264247000 270588928 275736000 294118400 301612800 313879480 317096400 338236160 352942080 360961402 367648000 376655376 377016000 392349350 396370500 402150400 405883392 422795200 441177600 470819220 482580480 502207168 502688000 507354240 524544000 528494000 541177856 541442103 551472000 588236800 588524025 603225600 627758960 634192800 676472320 721922804 735296000 753310752 754032000 784698700 792741000 804300800 811766784 845590400 882355200 902403505 941638440 980873375 1004414336 1005376000 1014708480 1056988000 1082884206 1102944000 1177048050 1206451200 1255517920 1268385600 1352944640 1443845608 1470592000 1506621504 1508064000 1569397400 1585482000 1623533568 1691180800 1764710400 1804807010 1883276880 1961746750 2008828672 2010752000 2029416960 2113976000 2165768412 2205888000 2354096100 2412902400 2511035840 2536771200 2705889280 2707210515 2887691216 2941184000 2942620125 3013243008 3016128000 3138794800 3170964000 3382361600 3609614020 3766553760 3923493500 4017657344 4021504000 4058833920 4227952000 4331536824 4411776000 4512017525 4708192200 5022071680 5073542400 5414421030 5775382432 5885240250 6026486016 6032256000 6277589600 6341928000 6764723200 7219228040 7533107520 7846987000 8035314688 8117667840 8455904000 8663073648 8823552000 9024035050 9416384400 10044143360 10147084800 10828842060 11550764864 11770480500 12052972032 12064512000 12555179200 12683856000 13529446400 13536052575 14438456080 15066215040 15693974000 16070629376 16911808000 17326147296 18048070100 18832768800 20088286720 20294169600 21657684120 22560087625 23101529728 23540961000 24105944064 25110358400 25367712000 27072105150 28876912160 30132430080 31387948000 33823616000 34652294592 36096140200 37665537600 40176573440 40588339200 43315368240 45120175250 46203059456 47081922000 48211888128 50220716800 50735424000 54144210300 57753824320 60264860160 62775896000 67647232000 67680262875 69304589184 72192280400 75331075200 80353146880 86630736480 90240350500 92406118912 94163844000 100441433600 101470848000 108288420600 115507648640 120529720320 125551792000 135360525750 138609178368 144384560800 150662150400 173261472960 180480701000 184812237824 188327688000 200882867200 202941696000 216576841200 231015297280 241059440640 251103584000 270721051500 277218356736 288769121600 301324300800 346522945920 360961402000 369624475648 376655376000 401765734400 433153682400 462030594560 502207168000 541442103000 554436713472 577538243200 602648601600 693045891840 721922804000 753310752000 866307364800 924061189120 1004414336000 1082884206000 1108873426944 1155076486400 1205297203200 1386091783680 1443845608000 1506621504000 1732614729600 1848122378240 2008828672000 2165768412000 2310152972800 2772183567360 2887691216000 3013243008000 3465229459200 4331536824000 4620305945600 5544367134720 5775382432000 6026486016000 6930458918400 8663073648000 9240611891200 11550764864000 13860917836800 17326147296000 23101529728000 27721835673600 34652294592000 46203059456000 69304589184000 138609178368000
• Sum of all divisors σ(n): 481976504755200
• Sum of proper divisors (its aliquot sum) s(n): 343367326387200
• 138609178368000 is an abundant number, because the sum of its proper divisors (343367326387200) is greater than itself. Its abundance is 204758148019200

Bases of 138609178368000

• Binary: 11111100001000001110110110101101101100000000000₂
• Hexadecimal: 0x7E1076D6D800
• Base-36: 1D4S6E0MIO

Squares and roots of 138609178368000

• 138609178368000 squared (138609178368000²) is 19212504327852039143424000000
• 138609178368000 cubed (138609178368000³) is 2663029439275215243943375150252032000000000
• The square root of 138609178368000 is 11773239.9265452839
• The cube root of 138609178368000 is 51752.4200435635

Scales and comparisons

• 138,609,178,368,000 seconds is equal to 4,407,343 years, 6 weeks, 3 days, 18 hours, 40 minutes.
• To count from 1 to 138,609,178,368,000 would take you about eleven million, eighteen thousand, three hundred fifty-seven 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 138609178368000 cubic inches would be around 4312.7 feet tall.

Recreational maths with 138609178368000

• 138609178368000 backwards is 000863871906831
• 138609178368000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138609178368000's digits is 60
• More coming soon!