138516874568816704

Names of 138516874568816704

• Cardinal: 138516874568816704 can be written as One hundred thirty-eight quadrillion, five hundred sixteen trillion, eight hundred seventy-four billion, five hundred sixty-eight million, eight hundred sixteen thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.38516874568816704 × 10¹⁷

Factors of 138516874568816704

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 285

Divisors of 138516874568816704

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 4 8 16 17 32 34 64 68 103 136 163 206 272 289 326 412 544 578 652 824 1088 1156 1304 1648 1751 2312 2608 2771 3296 3502 4624 5216 5542 6592 7004 9248 10432 10609 11084 14008 16789 18496 21218 22168 26569 28016 29767 33578 42436 44336 47107 53138 56032 59534 67156 84872 88672 94214 106276 112064 119068 134312 169744 177344 180353 188428 212552 238136 268624 285413 339488 360706 376856 425104 451673 476272 537248 570826 678976 721412 753712 850208 903346 952544 1074496 1141652 1442824 1507424 1700416 1729267 1806692 1905088 2283304 2736607 2885648 3014848 3066001 3458534 3613384 4330747 4566608 4852021 5473214 5771296 6132002 6917068 7226768 7678441 8661494 9133216 9704042 10946428 11542592 12264004 13834136 14453536 15356882 17322988 18266432 19408084 21892856 24528008 27668272 28907072 29397539 30713764 34645976 38816168 43785712 46522319 49056016 55336544 58795078 61427528 69291952 73622699 77632336 87571424 93044638 98112032 110673088 117590156 122855056 138583904 147245398 155264672 175142848 186089276 196224064 235180312 245710112 277167808 281870521 294490796 310529344 372178552 446066941 470360624 491420224 499758163 563741042 588981592 705911761 744357104 790879423 892133882 940721248 999516326 1127482084 1177963184 1251585883 1411823522 1488714208 1581758846 1784267764 1881442496 1999032652 2254964168 2355926368 2503171766 2823647044 2977428416 3163517692 3568535528 3998065304 4509928336 4711852736 4791798857 5006343532 5647294088 6327035384 7137071056 7583137997 7996130608 9019856672 9583597714 10012687064 11294588176 12000499937 12654070768 14274142112 15166275994 15992261216 18039713344 19167195428 20025374128 22589176352 24000999874 25308141536 28548284224 30332551988 31984522432 38334390856 40050748256 45178352704 45944894923 48001999748 50616283072 60665103976 72708911383 76668781712 80101496512 81460580569 91889789846 96003999496 121330207952 128913345949 145417822766 153337563424 162921161138 183779579692 192007998992 204008498929 242660415904 257826691898 290835645532 306675126848 325842322276 367559159384 384015997984 408016997858 485320831808 515653383796 581671291064 651684644552 735118318768 768031995968 781063213691 816033995716 1031306767592 1163342582128 1236051493511 1303369289104 1470236637536 1562126427382 1632067991432 2062613535184 2326685164256 2472102987022 2606738578208 2940473275072 3124252854764 3264135982864 4125227070368 4653370328512 4944205974044 5213477156416 6248505709528 6528271965728 7489017872449 8250454140736 9888411948088 12497011419056 13056543931456 13278074632747 14978035744898 19776823896176 21012875389687 24994022838112 26556149265494 29956071489796 39553647792352 42025750779374 49988045676224 53112298530988 59912142979592 79107295584704 84051501558748 106224597061976 119824285959184 127313303831633 168103003117496 212449194123952 239648571918368 254626607663266 336206006234992 424898388247904 479297143836736 509253215326532 672412012469984 849796776495808 1018506430653064 1344824024939968 2037012861306128 2164326165137761 4074025722612256 4328652330275522 8148051445224512 8657304660551044 17314609321102088 34629218642204176 69258437284408352 138516874568816704
• Sum of all divisors σ(n): 296671760516319837
• Sum of proper divisors (its aliquot sum) s(n): 158154885947503133
• 138516874568816704 is an abundant number, because the sum of its proper divisors (158154885947503133) is greater than itself. Its abundance is 19638011378686429

Bases of 138516874568816704

• Binary: 111101100000111000101110100010000000100100101100001000000₂
• Hexadecimal: 0x1EC1C5D10125840
• Base-36: 11VW4TPAJZGG

Squares and roots of 138516874568816704

• 138516874568816704 squared (138516874568816704²) is 19186924540313299757679034749423616
• 138516874568816704 cubed (138516874568816704³) is 2657712819911928439976383684354519826164991152881664
• 138516874568816704 is a perfect square number. Its square root is 372178552
• The cube root of 138516874568816704 is 517409.2968916419

Scales and comparisons

• 138,516,874,568,816,704 seconds is equal to 4,404,408,150 years, 24 weeks, 17 hours, 5 minutes, 4 seconds.
• To count from 1 to 138,516,874,568,816,704 would take you about thirteen billion, two hundred thirteen million, two hundred twenty-four thousand, four hundred fifty-one 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 138516874568816704 cubic inches would be around 43117.4 feet tall.

Recreational maths with 138516874568816704

• 138516874568816704 backwards is 407618865478615831
• The number of decimal digits it has is: 18
• The sum of 138516874568816704's digits is 88
• More coming soon!