138712928256000

Names of 138712928256000

• Cardinal: 138712928256000 can be written as One hundred thirty-eight trillion, seven hundred twelve billion, nine hundred twenty-eight million, two hundred fifty-six thousand.

Scientific notation

• Scientific notation: 1.38712928256 × 10¹⁴

Factors of 138712928256000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 537564

Divisors of 138712928256000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 256 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 512 525 560 576 600 630 640 672 700 720 750 768 800 840 875 896 900 960 1000 1008 1024 1050 1120 1125 1152 1200 1260 1280 1344 1400 1440 1500 1536 1575 1600 1680 1750 1792 1800 1920 2000 2016 2048 2100 2240 2250 2304 2400 2520 2560 2625 2688 2800 2880 3000 3072 3150 3200 3360 3500 3584 3600 3840 4000 4032 4096 4200 4480 4500 4608 4800 5040 5120 5250 5376 5600 5760 6000 6144 6300 6400 6720 7000 7168 7200 7680 7875 8000 8064 8192 8400 8960 9000 9216 9600 10080 10240 10500 10752 11200 11520 12000 12288 12600 12800 13440 14000 14336 14400 15360 15750 16000 16128 16384 16800 17920 18000 18432 19200 20160 20480 21000 21504 22400 23040 24000 24576 25200 25600 26880 28000 28672 28800 30720 31500 32000 32256 32768 33600 35840 36000 36864 38400 40320 40960 42000 43008 44800 46080 48000 49152 50400 51200 53760 56000 57344 57600 61440 63000 64000 64512 67200 71680 72000 73728 76800 80640 81920 84000 86016 89600 92160 96000 98304 100800 102400 107520 112000 114688 115200 122880 126000 128000 129024 134400 143360 144000 147456 153600 161280 163840 168000 172032 179200 184320 192000 201600 204800 215040 224000 229376 230400 245760 252000 256000 258048 268800 286720 288000 294912 307200 322560 336000 344064 358400 368640 384000 403200 409600 430080 448000 460800 491520 504000 512000 516096 537547 537600 573440 576000 614400 645120 672000 688128 716800 737280 768000 806400 819200 860160 896000 921600 1008000 1024000 1032192 1075094 1075200 1146880 1152000 1228800 1290240 1344000 1433600 1474560 1536000 1612641 1612800 1720320 1792000 1843200 2016000 2048000 2064384 2150188 2150400 2304000 2457600 2580480 2687735 2688000 2867200 3072000 3225282 3225600 3440640 3584000 3686400 3762829 4032000 4096000 4300376 4300800 4608000 4837923 5160960 5375470 5376000 5734400 6144000 6450564 6451200 7168000 7372800 7525658 8063205 8064000 8600752 8601600 9216000 9675846 10321920 10750940 10752000 11288487 12288000 12901128 12902400 13438675 14336000 15051316 16126410 16128000 17201504 17203200 18432000 18814145 19351692 21501880 21504000 22576974 24189615 25802256 25804800 26877350 28672000 30102632 32252820 32256000 33865461 34403008 36864000 37628290 38703384 40316025 43003760 43008000 45153948 48379230 51604512 51609600 53754700 56442435 60205264 64505640 64512000 67193375 67730922 68806016 75256580 77406768 80632050 86007520 86016000 90307896 94070725 96758460 103209024 107509400 112884870 120410528 120948075 129011280 129024000 134386750 135461844 137612032 150513160 154813536 161264100 169327305 172015040 180615792 188141450 193516920 201580125 206418048 215018800 225769740 240821056 241896150 258022560 258048000 268773500 270923688 275224064 282212175 301026320 309627072 322528200 338654610 344030080 361231584 376282900 387033840 403160250 412836096 430037600 451539480 470353625 481642112 483792300 516045120 537547000 541847376 550448128 564424350 602052640 604740375 619254144 645056400 677309220 688060160 722463168 752565800 774067680 806320500 825672192 846636525 860075200 903078960 940707250 963284224 967584600 1032090240 1075094000 1083694752 1100896256 1128848700 1204105280 1209480750 1238508288 1290112800 1354618440 1376120320 1411060875 1444926336 1505131600 1548135360 1612641000 1651344384 1693273050 1720150400 1806157920 1881414500 1926568448 1935169200 2064180480 2150188000 2167389504 2201792512 2257697400 2408210560 2418961500 2477016576 2580225600 2709236880 2752240640 2822121750 2889852672 3010263200 3096270720 3225282000 3302688768 3386546100 3440300800 3612315840 3762829000 3853136896 3870338400 4128360960 4233182625 4300376000 4334779008 4403585024 4515394800 4816421120 4837923000 4954033152 5160451200 5418473760 5504481280 5644243500 5779705344 6020526400 6192541440 6450564000 6605377536 6773092200 6880601600 7224631680 7525658000 7706273792 7740676800 8256721920 8466365250 8600752000 8669558016 8807170048 9030789600 9632842240 9675846000 9908066304 10320902400 10836947520 11008962560 11288487000 11559410688 12041052800 12385082880 12901128000 13210755072 13546184400 13761203200 14449263360 15051316000 15412547584 15481353600 16513443840 16932730500 17201504000 17339116032 17614340096 18061579200 19265684480 19351692000 19816132608 20641804800 21673895040 22017925120 22576974000 23118821376 24082105600 24770165760 25802256000 26421510144 27092368800 27522406400 28898526720 30102632000 30825095168 30962707200 33026887680 33865461000 34403008000 34678232064 36123158400 38531368960 38703384000 39632265216 41283609600 43347790080 44035850240 45153948000 46237642752 48164211200 49540331520 51604512000 52843020288 54184737600 55044812800 57797053440 60205264000 61650190336 61925414400 66053775360 67730922000 68806016000 69356464128 72246316800 77062737920 77406768000 79264530432 82567219200 86695580160 88071700480 90307896000 92475285504 96328422400 99080663040 103209024000 108369475200 110089625600 115594106880 120410528000 123300380672 123850828800 132107550720 135461844000 137612032000 138712928256 144492633600 154125475840 154813536000 158529060864 165134438400 173391160320 180615792000 184950571008 192656844800 198161326080 206418048000 216738950400 220179251200 231188213760 240821056000 247701657600 264215101440 270923688000 275224064000 277425856512 288985267200 308250951680 309627072000 330268876800 346782320640 361231584000 369901142016 385313689600 396322652160 412836096000 433477900800 440358502400 462376427520 481642112000 495403315200 541847376000 550448128000 554851713024 577970534400 616501903360 619254144000 660537753600 693564641280 722463168000 770627379200 792645304320 825672192000 866955801600 924752855040 963284224000 990806630400 1083694752000 1100896256000 1109703426048 1155941068800 1238508288000 1321075507200 1387129282560 1444926336000 1541254758400 1651344384000 1733911603200 1849505710080 1926568448000 1981613260800 2167389504000 2201792512000 2311882137600 2477016576000 2774258565120 2889852672000 3082509516800 3302688768000 3467823206400 3853136896000 3963226521600 4334779008000 4623764275200 4954033152000 5548517130240 5779705344000 6605377536000 6935646412800 7706273792000 8669558016000 9247528550400 9908066304000 11559410688000 13871292825600 15412547584000 17339116032000 19816132608000 23118821376000 27742585651200 34678232064000 46237642752000 69356464128000 138712928256000
• Sum of all divisors σ(n): 571542449512320
• Sum of proper divisors (its aliquot sum) s(n): 432829521256320
• 138712928256000 is an abundant number, because the sum of its proper divisors (432829521256320) is greater than itself. Its abundance is 294116593000320

Bases of 138712928256000

• Binary: 11111100010100010011110110100001000000000000000₂
• Hexadecimal: 0x7E289ED08000
• Base-36: 1D63U80SG0

Squares and roots of 138712928256000

• 138712928256000 squared (138712928256000²) is 19241276465354203201536000000
• 138712928256000 cubed (138712928256000³) is 2669013801892538858322708677001216000000000
• The square root of 138712928256000 is 11777645.2763699757
• The cube root of 138712928256000 is 51765.3291662951

Scales and comparisons

• 138,712,928,256,000 seconds is equal to 4,410,642 years, 2 weeks, 4 days, 16 hours.
• To count from 1 to 138,712,928,256,000 would take you about eleven million, twenty-six thousand, six hundred five 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 138712928256000 cubic inches would be around 4313.8 feet tall.

Recreational maths with 138712928256000

• 138712928256000 backwards is 000652829217831
• The number of decimal digits it has is: 15
• The sum of 138712928256000's digits is 54
• More coming soon!