138763323284352

Names of 138763323284352

• Cardinal: 138763323284352 can be written as One hundred thirty-eight trillion, seven hundred sixty-three billion, three hundred twenty-three million, two hundred eighty-four thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 1.38763323284352 × 10¹⁴

Factors of 138763323284352

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2902

Divisors of 138763323284352

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 183 192 208 244 312 366 384 416 421 488 601 624 732 793 832 842 976 1202 1248 1263 1464 1586 1664 1684 1801 1803 1952 2379 2404 2496 2526 2928 3172 3368 3602 3606 3904 4758 4808 4992 5052 5403 5473 5856 6344 6736 7204 7212 7808 7813 9516 9616 10104 10806 10946 11712 12688 13472 14408 14424 15626 16419 19032 19232 20208 21612 21892 23413 23424 23439 25376 25681 26944 28816 28848 31252 32838 36661 38064 38464 40416 43224 43784 46826 46878 50752 51362 53888 57632 57696 62504 65676 70239 73322 76128 76928 77043 80832 86448 87568 93652 93756 101504 102724 109861 109983 115264 115392 125008 131352 140478 146644 152256 154086 161664 172896 175136 187304 187512 205448 219722 219966 230528 230784 250016 253021 262704 280956 293288 304512 308172 329583 333853 345792 350272 374608 375024 410896 439444 439932 476593 500032 506042 525408 561912 586576 616344 659166 667706 691584 700544 749216 750048 758221 759063 821792 878888 879864 953186 1000064 1001559 1012084 1050816 1082401 1123824 1173152 1232688 1318332 1335412 1428193 1429779 1498432 1500096 1516442 1518126 1643584 1757776 1759728 1906372 2003118 2024168 2101632 2164802 2247648 2274663 2346304 2465376 2636664 2670824 2856386 2859558 2996864 3000192 3032884 3036252 3247203 3287168 3289273 3515552 3519456 3812744 4006236 4048336 4284579 4329604 4495296 4549326 4692608 4930752 5273328 5341648 5712772 5719116 6065768 6072504 6494406 6578546 7031104 7038912 7625488 8012472 8096672 8569158 8659208 8990592 9098652 9856873 9861504 9867819 10546656 10683296 11425544 11438232 12131536 12145008 12988812 13157092 14062208 14071213 14077824 15250976 15434281 16024944 16193344 17138316 17318416 18197304 19713746 19735638 21093312 21366592 22851088 22876464 24263072 24290016 25977624 26314184 28142426 29570619 30501952 30868562 32049888 32386688 34276632 34636832 36394608 39427492 39471276 42186624 42213639 42733184 45702176 45752928 46251481 46302843 48526144 48580032 51955248 52628368 56284852 59141238 61003904 61737124 64099776 66026461 68553264 69273664 72789216 78854984 78942552 84427278 91404352 91505856 92502962 92605686 97052288 97160064 103910496 105256736 112569704 118282476 123474248 128199552 132052922 137106528 138547328 138754443 145578432 157709968 157885104 168854556 182808704 183011712 185005924 185211372 198079383 200645653 207820992 210513472 225139408 236564952 246948496 264105844 274213056 277508886 291156864 315419936 315770208 337709112 370011848 370422744 396158766 401291306 415641984 421026944 450278816 455690821 473129904 493896992 528211688 548426112 555017772 601269253 601936959 630839872 631540416 675418224 740023696 740845488 792317532 802582612 858343993 900557632 911381642 946259808 987793984 1056423376 1110035544 1202538506 1203873918 1261679744 1263080832 1350836448 1367072463 1480047392 1481690976 1584635064 1605165224 1716687986 1801115264 1803807759 1822763284 1892519616 1975587968 2112846752 2220071088 2405077012 2407747836 2575031979 2701672896 2734144926 2960094784 2963381952 3169270128 3210330448 3433375972 3607615518 3645526568 3785039232 4225693504 4440142176 4810154024 4815495672 5150063958 5403345792 5468289852 5920189568 5923980673 5926763904 6338540256 6420660896 6866751944 7215231036 7291053136 8451387008 8880284352 9620308048 9630991344 10300127916 10936579704 11847961346 12677080512 12841321792 13733503888 14430462072 14582106272 17760568704 17771942019 19240616096 19261982688 20600255832 21873159408 23695922692 25354161024 25682643584 27467007776 27797140081 28860924144 29164212544 35543884038 38481232192 38523965376 41200511664 43746318816 47391845384 54934015552 55594280162 57721848288 58328425088 71087768076 76962464384 77047930752 82401023328 83391420243 87492637632 94783690768 109868031104 111188560324 115443696576 142175536152 164802046656 166782840486 174985275264 189567381536 222377120648 230887393152 284351072304 329604093312 333565680972 361362821053 379134763072 444754241296 568702144608 667131361944 722725642106 758269526144 889508482592 1084088463159 1137404289216 1334262723888 1445451284212 1779016965184 2168176926318 2274808578432 2668525447776 2890902568424 3558033930368 4336353852636 5337050895552 5781805136848 8672707705272 10674101791104 11563610273696 17345415410544 23127220547392 34690830821088 46254441094784 69381661642176 138763323284352
• Sum of all divisors σ(n): 405306553303680
• Sum of proper divisors (its aliquot sum) s(n): 266543230019328
• 138763323284352 is an abundant number, because the sum of its proper divisors (266543230019328) is greater than itself. Its abundance is 127779906734976

Bases of 138763323284352

• Binary: 11111100011010001011010100101111001101110000000₂
• Hexadecimal: 0x7E345A979B80
• Base-36: 1D6QZNX56O

Squares and roots of 138763323284352

• 138763323284352 squared (138763323284352²) is 19255259888917585924248059904
• 138763323284352 cubed (138763323284352³) is 2671923852890086755920180461313885321822208
• The square root of 138763323284352 is 11779784.5177385143
• The cube root of 138763323284352 is 51771.5972659555

Scales and comparisons

• 138,763,323,284,352 seconds is equal to 4,412,244 years, 23 weeks, 5 days, 10 hours, 59 minutes, 12 seconds.
• To count from 1 to 138,763,323,284,352 would take you about eleven million, thirty thousand, six hundred eleven 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 138763323284352 cubic inches would be around 4314.3 feet tall.

Recreational maths with 138763323284352

• 138763323284352 backwards is 253482323367831
• The number of decimal digits it has is: 15
• The sum of 138763323284352's digits is 60
• More coming soon!