138021860024400

Names of 138021860024400

• Cardinal: 138021860024400 can be written as One hundred thirty-eight trillion, twenty-one billion, eight hundred sixty million, twenty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.380218600244 × 10¹⁴

Factors of 138021860024400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 9744916

Divisors of 138021860024400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 33 37 40 44 48 50 55 58 60 66 74 75 80 87 88 100 110 111 116 120 132 145 148 150 165 174 176 185 200 220 222 232 240 264 275 290 296 300 319 330 348 370 400 407 435 440 444 464 528 550 555 580 592 600 638 660 696 725 740 814 825 870 880 888 925 957 1073 1100 1110 1160 1200 1221 1276 1320 1392 1450 1480 1595 1628 1650 1740 1776 1850 1914 2035 2146 2175 2200 2220 2320 2442 2552 2640 2775 2900 2960 3190 3219 3256 3300 3480 3700 3828 4070 4292 4350 4400 4440 4785 4884 5104 5365 5550 5800 6105 6380 6438 6512 6600 6960 7400 7656 7975 8140 8584 8700 8880 9570 9768 10175 10730 11100 11600 11803 12210 12760 12876 13200 14800 15312 15950 16095 16280 17168 17400 19140 19536 20350 21460 22200 23606 23925 24420 25520 25752 26825 30525 31900 32190 32560 34800 35409 38280 40700 42920 44400 47212 47850 48840 51504 53650 59015 61050 63800 64380 70818 76560 80475 81400 85840 94424 95700 97680 107300 118030 122100 127600 128760 141636 160950 162800 177045 188848 191400 214600 236060 244200 257520 283272 295075 321900 354090 382800 429200 472120 488400 566544 590150 643800 708180 885225 944240 1180300 1287600 1416360 1770450 2360600 2832720 3540900 4721200 7081800 9744829 14163600 19489658 29234487 38979316 48724145 58468974 77958632 97448290 107193119 116937948 146172435 155917264 194896580 214386238 233875896 243620725 282600041 292344870 321579357 360558673 389793160 428772476 467751792 487241450 535965595 565200082 584689740 643158714 721117346 730862175 779586320 847800123 857544952 974482900 1071931190 1081676019 1130400164 1169379480 1286317428 1413000205 1442234692 1461724350 1607896785 1695600246 1715089904 1802793365 1948965800 2143862380 2163352038 2260800328 2338758960 2572634856 2679827975 2826000410 2884469384 2923448700 3108600451 3215793570 3391200492 3605586730 3897931600 3966145403 4239000615 4287724760 4326704076 4521600656 5145269712 5359655950 5408380095 5652000820 5768938768 5846897400 6217200902 6431587140 6782400984 7065001025 7211173460 7932290806 8039483925 8478001230 8575449520 8653408152 9013966825 9325801353 10456201517 10719311900 10816760190 11304001640 11693794800 11898436209 12434401804 12863174280 13564801968 14130002050 14422346920 15543002255 15864581612 16078967850 16956002460 17306816304 18027933650 18651602706 19830727015 20912403034 21195003075 21438623800 21633520380 22608003280 23796872418 24868803608 25726348560 27041900475 28260004100 28844693840 31086004510 31368604551 31729163224 32157935700 33912004920 36055867300 37303205412 39661454030 41824806068 42390006150 42877247600 43267040760 46629006765 47593744836 49737607216 52281007585 54083800950 56520008200 59492181045 62172009020 62737209102 63458326448 64315871400 67824009840 72111734600 74606410824 77715011275 79322908060 83649612136 84780012300 86534081520 93258013530 95187489672 99153635075 104562015170 108167601900 113040016400 115018216687 118984362090 124344018040 125474418204 128631742800 144223469200 149212821648 155430022550 156843022755 158645816120 167299224272 169560024600 186516027060 190374979344 198307270150 209124030340 216335203800 230036433374 233145033825 237968724180 248688036080 250948836408 261405037925 297460905225 310860045100 313686045510 317291632240 339120049200 345054650061 373032054120 396614540300 418248060680 432670407600 460072866748 466290067650 475937448360 501897672816 522810075850 575091083435 594921810450 621720090200 627372091020 690109300122 746064108240 784215113775 793229080600 836496121360 920145733496 932580135300 951874896720 1045620151700 1150182166870 1189843620900 1243440180400 1254744182040 1380218600244 1568430227550 1586458161200 1725273250305 1840291466992 1865160270600 2091240303400 2300364333740 2379687241800 2509488364080 2760437200488 2875455417175 3136860455100 3450546500610 3730320541200 4182480606800 4600728667480 4759374483600 5520874400976 5750910834350 6273720910200 6901093001220 8626366251525 9201457334960 11501821668700 12547441820400 13802186002440 17252732503050 23003643337400 27604372004880 34505465006100 46007286674800 69010930012200 138021860024400
• Sum of all divisors σ(n): 512440850793600
• Sum of proper divisors (its aliquot sum) s(n): 374418990769200
• 138021860024400 is an abundant number, because the sum of its proper divisors (374418990769200) is greater than itself. Its abundance is 236397130744800

Bases of 138021860024400

• Binary: 11111011000011110110111111100000010000001010000₂
• Hexadecimal: 0x7D87B7F02050
• Base-36: 1CXAD7U89C

Squares and roots of 138021860024400

• 138021860024400 squared (138021860024400²) is 19050033844595066768595360000
• 138021860024400 cubed (138021860024400³) is 2629321104758782888033840803723326784000000
• The square root of 138021860024400 is 11748270.5120541039
• The cube root of 138021860024400 is 51679.2210012811

Scales and comparisons

• 138,021,860,024,400 seconds is equal to 4,388,668 years, 11 weeks, 2 days, 18 hours, 20 minutes.
• To count from 1 to 138,021,860,024,400 would take you about ten million, nine hundred seventy-one thousand, six hundred seventy 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 138021860024400 cubic inches would be around 4306.6 feet tall.

Recreational maths with 138021860024400

• 138021860024400 backwards is 004420068120831
• The number of decimal digits it has is: 15
• The sum of 138021860024400's digits is 39
• More coming soon!