138084268748216

Names of 138084268748216

• Cardinal: 138084268748216 can be written as One hundred thirty-eight trillion, eighty-four billion, two hundred sixty-eight million, seven hundred forty-eight thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.38084268748216 × 10¹⁴

Factors of 138084268748216

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7016

Divisors of 138084268748216

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 14 28 43 49 56 61 67 86 98 122 134 172 196 244 268 301 307 344 392 427 469 488 536 602 614 854 938 1204 1228 1708 1876 2107 2149 2408 2456 2623 2881 2989 3283 3416 3752 4087 4214 4298 5246 5762 5978 6529 6566 8174 8428 8596 10492 11524 11956 13058 13132 13201 15043 16348 16856 17192 18361 18727 20167 20569 20984 23048 23912 26116 26264 26402 28609 30086 32696 36722 37454 40334 41138 45703 52232 52804 57218 60172 73444 74908 80668 82276 91406 92407 105608 114436 120344 128527 131089 141169 143983 146888 149816 161336 164552 175741 182812 184814 200263 228872 257054 262178 280747 282338 287966 319921 351482 365624 369628 398269 400526 437443 514108 524356 561494 564676 575932 639842 646849 702964 739256 796538 801052 805261 874886 884467 917623 1007881 1028216 1048712 1122988 1129352 1151864 1230187 1254709 1279684 1293698 1405928 1593076 1602104 1610522 1749772 1768934 1835246 1965229 2004403 2015762 2245976 2460374 2509418 2559368 2587396 2787883 3062101 3186152 3221044 3499544 3537868 3670492 3930458 4008806 4031524 4920748 5018836 5174792 5575766 5636827 6124202 6191269 6442088 7075736 7340984 7860916 8017612 8063048 8611309 8782963 9841496 10037672 11151532 11273654 12248404 12382538 13756603 14030821 15721832 16035224 17125567 17222618 17565926 18810049 19515181 21434707 22303064 22547308 24496808 24765076 26684023 27513206 28061642 34251134 34445236 35131852 37620098 39030362 39457789 42869414 43338883 45094616 49530152 53368046 53952487 55026412 56123284 61480741 68502268 68890472 70263704 75240196 78060724 78915578 85738828 86189329 86677766 98215747 106736092 107904974 110052824 112246568 119878969 122268583 122961482 131670343 134295001 137004536 150480392 156121448 157831156 171477656 172378658 173355532 186788161 196431494 213472184 215809948 239757938 244537166 245922964 263340686 268590002 315662312 344757316 346711064 373576322 377667409 392862988 431619896 479515876 489074332 491845928 526681372 537180004 603325303 689514632 747152644 755334818 785725976 839152783 855880081 921692401 940065007 959031752 978148664 1053362744 1074360008 1147412989 1206650606 1307517127 1494305288 1510669636 1678305566 1711760162 1843384802 1880130014 2294825978 2413301212 2615034254 2643671863 3021339272 3356611132 3423520324 3686769604 3760260028 4223277121 4589651956 4826602424 5230068508 5257549069 5287343726 5774685043 5991160567 6580455049 6713222264 6847040648 7373539208 7520520056 8031890923 8191995061 8446554242 9179303912 10460137016 10515098138 10574687452 11549370086 11982321134 13160910098 16063781846 16383990122 16893108484 21030196276 21149374904 23098740172 23964642268 26321820196 32127563692 32767980244 33786216968 36802843483 40422795301 42060392552 46197480344 47929284536 52643640392 56223236461 57343965427 64255127384 65535960488 73605686966 80845590602 112446472922 114687930854 147211373932 161691181204 224892945844 229375861708 257619904381 282959567107 294422747864 323382362408 352255787623 401407757989 449785891688 458751723416 515239808762 565919134214 704511575246 802815515978 1030479617524 1131838268428 1409023150492 1605631031956 2060959235048 2263676536856 2465790513361 2818046300984 3211262063912 4931581026722 9863162053444 17260533593527 19726324106888 34521067187054 69042134374108 138084268748216
• Sum of all divisors σ(n): 318994570540800
• Sum of proper divisors (its aliquot sum) s(n): 180910301792584
• 138084268748216 is an abundant number, because the sum of its proper divisors (180910301792584) is greater than itself. Its abundance is 42826033044368

Bases of 138084268748216

• Binary: 11111011001011000111111110010011010110110111000₂
• Hexadecimal: 0x7D963FC9ADB8
• Base-36: 1CY31CDRQW

Squares and roots of 138084268748216

• 138084268748216 squared (138084268748216²) is 19067265275729541891603182656
• 138084268748216 cubed (138084268748216³) is 2632889382627364913622615739491822722141696
• The square root of 138084268748216 is 11750926.2931998685
• The cube root of 138084268748216 is 51687.0090145683

Scales and comparisons

• 138,084,268,748,216 seconds is equal to 4,390,652 years, 32 weeks, 2 days, 22 hours, 56 minutes, 56 seconds.
• To count from 1 to 138,084,268,748,216 would take you about ten million, nine hundred seventy-six thousand, six hundred thirty-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 138084268748216 cubic inches would be around 4307.3 feet tall.

Recreational maths with 138084268748216

• 138084268748216 backwards is 612847862480831
• The number of decimal digits it has is: 15
• The sum of 138084268748216's digits is 68
• More coming soon!