135838825346760704

Names of 135838825346760704

• Cardinal: 135838825346760704 can be written as One hundred thirty-five quadrillion, eight hundred thirty-eight trillion, eight hundred twenty-five billion, three hundred forty-six million, seven hundred sixty thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.35838825346760704 × 10¹⁷

Factors of 135838825346760704

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 6880

Divisors of 135838825346760704

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2744 3136 3584 4096 5488 6272 6871 7168 8192 10976 12544 13742 14336 16384 21952 25088 27484 28672 32768 43904 48097 50176 54968 57344 65536 87808 96194 100352 109936 114688 131072 175616 192388 200704 219872 229376 262144 336679 351232 384776 401408 439744 458752 524288 673358 702464 769552 802816 879488 917504 1048576 1346716 1404928 1539104 1605632 1758976 1835008 2097152 2356753 2693432 2809856 3078208 3211264 3517952 3670016 4194304 4713506 5386864 5619712 6156416 6422528 7035904 7340032 8388608 9427012 10773728 11239424 12312832 12845056 14071808 14680064 18854024 21547456 22478848 24625664 25690112 28143616 29360128 37708048 43094912 44957696 47210641 49251328 51380224 56287232 58720256 75416096 86189824 89915392 94421282 98502656 102760448 112574464 150832192 172379648 179830784 188842564 197005312 205520896 225148928 301664384 330474487 344759296 359661568 377685128 394010624 411041792 450297856 603328768 660948974 689518592 719323136 755370256 788021248 900595712 1206657536 1321897948 1379037184 1438646272 1510740512 1576042496 1801191424 2313321409 2413315072 2643795896 2758074368 2877292544 3021481024 3152084992 3602382848 4626642818 4826630144 5287591792 5516148736 6042962048 6304169984 7204765696 9253285636 9653260288 10575183584 11032297472 12085924096 12608339968 14409531392 16193249863 18506571272 19306520576 21150367168 22064594944 24171848192 25216679936 28819062784 32386499726 37013142544 38613041152 42300734336 44129189888 48343696384 50433359872 57638125568 64772999452 74026285088 77226082304 84601468672 88258379776 96687392768 100866719744 129545998904 148052570176 154452164608 169202937344 176516759552 193374785536 201733439488 259091997808 296105140352 308904329216 338405874688 353033519104 386749571072 403466878976 518183995616 592210280704 617808658432 676811749376 706067038208 773499142144 1036367991232 1184420561408 1235617316864 1353623498752 1412134076416 1546998284288 2072735982464 2368841122816 2471234633728 2707246997504 2824268152832 3093996568576 4145471964928 4737682245632 4942469267456 5414493995008 6187993137152 8290943929856 9475364491264 9884938534912 10828987990016 12375986274304 16581887859712 18950728982528 19769877069824 21657975980032 24751972548608 33163775719424 37901457965056 43315951960064 49503945097216 66327551438848 75802915930112 86631903920128 99007890194432 132655102877696 151605831860224 173263807840256 198015780388864 265310205755392 303211663720448 346527615680512 396031560777728 530620411510784 606423327440896 693055231361024 1061240823021568 1212846654881792 1386110462722048 2122481646043136 2425693309763584 2772220925444096 4244963292086272 4851386619527168 8489926584172544 9702773239054336 16979853168345088 19405546478108672 33959706336690176 67919412673380352 135838825346760704
• Sum of all divisors σ(n): 316871346946518000
• Sum of proper divisors (its aliquot sum) s(n): 181032521599757296
• 135838825346760704 is an abundant number, because the sum of its proper divisors (181032521599757296) is greater than itself. Its abundance is 45193696252996592

Bases of 135838825346760704

• Binary: 111100010100110001011000100100011100000000000000000000000₂
• Hexadecimal: 0x1E298B123800000
• Base-36: 115IUEVGXAM8

Squares and roots of 135838825346760704

• 135838825346760704 squared (135838825346760704²) is 18452186471587758295308585838575616
• 135838825346760704 cubed (135838825346760704³) is 2506523335379870142445768376986796473720110961393664
• The square root of 135838825346760704 is 368563190.4392524981
• The cube root of 135838825346760704 is 514053.0881122589

Scales and comparisons

• 135,838,825,346,760,704 seconds is equal to 4,319,254,468 years, 49 weeks, 3 days, 14 hours, 51 minutes, 44 seconds.
• To count from 1 to 135,838,825,346,760,704 would take you about twelve billion, nine hundred fifty-seven million, seven hundred sixty-three thousand, four hundred six 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 135838825346760704 cubic inches would be around 42837.8 feet tall.

Recreational maths with 135838825346760704

• 135838825346760704 backwards is 407067643528838531
• The number of decimal digits it has is: 18
• The sum of 135838825346760704's digits is 80
• More coming soon!