138666689024000

Names of 138666689024000

• Cardinal: 138666689024000 can be written as One hundred thirty-eight trillion, six hundred sixty-six billion, six hundred eighty-nine million, twenty-four thousand.

Scientific notation

• Scientific notation: 1.38666689024 × 10¹⁴

Factors of 138666689024000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1318

Divisors of 138666689024000

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 181 185 200 250 256 296 320 362 370 400 500 512 592 640 724 740 800 905 925 1000 1024 1093 1184 1280 1369 1448 1480 1600 1810 1850 2000 2048 2186 2368 2560 2738 2896 2960 3200 3620 3700 4000 4096 4372 4525 4625 4736 5120 5465 5476 5792 5920 6400 6697 6845 7240 7400 8000 8744 9050 9250 9472 10240 10930 10952 11584 11840 12800 13394 13690 14480 14800 16000 17488 18100 18500 18944 20480 21860 21904 22625 23168 23680 25600 26788 27325 27380 28960 29600 32000 33485 34225 34976 36200 37000 37888 40441 43720 43808 45250 46336 47360 51200 53576 54650 54760 57920 59200 64000 66970 68450 69952 72400 74000 75776 80882 87440 87616 90500 92672 94720 102400 107152 109300 109520 115840 118400 128000 133940 136625 136900 139904 144800 148000 151552 161764 167425 171125 174880 175232 181000 185344 189440 197833 202205 214304 218600 219040 231680 236800 247789 256000 267880 273250 273800 279808 289600 296000 323528 334850 342250 349760 350464 362000 370688 378880 395666 404410 428608 437200 438080 463360 473600 495578 512000 535760 546500 547600 559616 579200 592000 647056 669700 684500 699520 700928 724000 741376 757760 791332 808820 837125 857216 874400 876160 926720 947200 989165 991156 1011025 1071520 1093000 1095200 1119232 1158400 1184000 1238945 1294112 1339400 1369000 1399040 1401856 1448000 1496317 1582664 1617640 1674250 1714432 1748800 1752320 1853440 1894400 1978330 1982312 2022050 2143040 2186000 2190400 2238464 2316800 2368000 2477890 2588224 2678800 2738000 2798080 2803712 2896000 2992634 3165328 3235280 3348500 3428864 3497600 3504640 3706880 3788800 3956660 3964624 4044100 4286080 4372000 4380800 4476928 4633600 4736000 4945825 4955780 5055125 5176448 5357600 5476000 5596160 5607424 5792000 5985268 6194725 6330656 6470560 6697000 6857728 6995200 7009280 7319821 7481585 7913320 7929248 8088200 8572160 8744000 8761600 9267200 9472000 9891650 9911560 10110250 10352896 10715200 10952000 11192320 11584000 11970536 12389450 12661312 12941120 13394000 13715456 13990400 14018560 14639642 14963170 15826640 15858496 16176400 17144320 17488000 17523200 18534400 18944000 19783300 19823120 20220500 20705792 21430400 21904000 22384640 23168000 23941072 24729125 24778900 25322624 25882240 26788000 27430912 27980800 28037120 29279284 29926340 30973625 31653280 31716992 32352800 34288640 34976000 35046400 36599105 37407925 39566600 39646240 40441000 41411584 42860800 43808000 46336000 47882144 49458250 49557800 50645248 51764480 53576000 55961600 58558568 59852680 61947250 63306560 63433984 64705600 68577280 69952000 70092800 73198210 74815850 79133200 79292480 80882000 82823168 85721600 87616000 92672000 95764288 98916500 99115600 101290496 103528960 107152000 111923200 117117136 119705360 123894500 126613120 126867968 129411200 137154560 139904000 140185600 146396420 149631700 158266400 158584960 161764000 165646336 171443200 175232000 182995525 187039625 191528576 197833000 198231200 202580992 207057920 214304000 234234272 239410720 247789000 253226240 253735936 258822400 270833377 279808000 292792840 299263400 316532800 317169920 323528000 342886400 350464000 365991050 374079250 383057152 395666000 396462400 405161984 414115840 428608000 468468544 478821440 495578000 506452480 507471872 517644800 541666754 559616000 585585680 598526800 633065600 634339840 647056000 685772800 700928000 731982100 748158500 766114304 791332000 792924800 810323968 828231680 857216000 914977625 936937088 957642880 991156000 1012904960 1014943744 1035289600 1083333508 1171171360 1197053600 1266131200 1268679680 1294112000 1354166885 1463964200 1496317000 1532228608 1582664000 1585849600 1714432000 1829955250 1873874176 1915285760 1982312000 2025809920 2070579200 2166667016 2342342720 2394107200 2532262400 2537359360 2588224000 2708333770 2927928400 2992634000 3064457216 3165328000 3171699200 3428864000 3659910500 3747748352 3830571520 3964624000 4051619840 4141158400 4333334032 4684685440 4788214400 5064524800 5074718720 5176448000 5416667540 5855856800 5985268000 6128914432 6330656000 6343398400 6770834425 7319821000 7495496704 7661143040 7929248000 8666668064 9369370880 9576428800 10129049600 10352896000 10833335080 11711713600 11970536000 12661312000 12686796800 13541668850 14639642000 14990993408 15322286080 15858496000 17333336128 18738741760 19152857600 20258099200 20705792000 21666670160 23423427200 23941072000 25322624000 25373593600 27083337700 29279284000 29981986816 30644572160 31716992000 33854172125 34666672256 37477483520 38305715200 43333340320 46846854400 47882144000 50645248000 54166675400 58558568000 63433984000 67708344250 69333344512 74954967040 76611430400 86666680640 93693708800 95764288000 101290496000 108333350800 117117136000 126867968000 135416688500 138666689024 149909934080 153222860800 173333361280 187387417600 191528576000 216666701600 234234272000 270833377000 277333378048 346666722560 374774835200 383057152000 433333403200 468468544000 541666754000 554666756096 693333445120 749549670400 766114304000 866666806400 936937088000 1083333508000 1109333512192 1386666890240 1733333612800 1873874176000 2166667016000 2773333780480 3466667225600 3747748352000 4333334032000 5546667560960 6933334451200 8666668064000 13866668902400 17333336128000 27733337804800 34666672256000 69333344512000 138666689024000
• Sum of all divisors σ(n): 357968104196976
• Sum of proper divisors (its aliquot sum) s(n): 219301415172976
• 138666689024000 is an abundant number, because the sum of its proper divisors (219301415172976) is greater than itself. Its abundance is 80634726148976

Bases of 138666689024000

• Binary: 11111100001110111011010101111011101000000000000₂
• Hexadecimal: 0x7E1DDABDD000
• Base-36: 1D5ILIDKOW

Squares and roots of 138666689024000

• 138666689024000 squared (138666689024000²) is 19228450644878722072576000000
• 138666689024000 cubed (138666689024000³) is 2666345585986730011832420950605824000000000
• The square root of 138666689024000 is 11775682.1044048229
• The cube root of 138666689024000 is 51759.5766261205

Scales and comparisons

• 138,666,689,024,000 seconds is equal to 4,409,171 years, 40 weeks, 6 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 138,666,689,024,000 would take you about eleven million, twenty-two thousand, nine 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 138666689024000 cubic inches would be around 4313.3 feet tall.

Recreational maths with 138666689024000

• 138666689024000 backwards is 000420986666831
• The number of decimal digits it has is: 15
• The sum of 138666689024000's digits is 59
• More coming soon!