138319706384262955008

Names of 138319706384262955008

• Cardinal: 138319706384262955008 can be written as One hundred thirty-eight quintillion, three hundred nineteen quadrillion, seven hundred six trillion, three hundred eighty-four billion, two hundred sixty-two million, nine hundred fifty-five thousand and eight.

Scientific notation

• Scientific notation: 1.38319706384262955008 × 10²⁰

Factors of 138319706384262955008

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2191683512993

Divisors of 138319706384262955008

• Number of divisors d(n): 204
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4096 4608 5136 6144 6848 7704 8192 9216 10272 12288 13696 15408 16384 18432 20544 24576 27392 30816 32768 36864 41088 49152 54784 61632 65536 73728 82176 98304 109568 123264 147456 164352 196608 219136 246528 294912 328704 438272 493056 589824 657408 876544 986112 1314816 1753088 1972224 2629632 3506176 3944448 5259264 7012352 7888896 10518528 15777792 21037056 31555584 63111168 2191683512881 4383367025762 6575050538643 8766734051524 13150101077286 17533468103048 19725151615929 26300202154572 35066936206096 39450303231858 52600404309144 70133872412192 78900606463716 105200808618288 140267744824384 157801212927432 210401617236576 234510135878267 280535489648768 315602425854864 420803234473152 469020271756534 561070979297536 631204851709728 703530407634801 841606468946304 938040543513068 1122141958595072 1262409703419456 1407060815269602 1683212937892608 1876081087026136 2110591222904403 2244283917190144 2524819406838912 2814121630539204 3366425875785216 3752162174052272 4221182445808806 4488567834380288 5049638813677824 5628243261078408 6732851751570432 7504324348104544 8442364891617612 8977135668760576 10099277627355648 11256486522156816 13465703503140864 15008648696209088 16884729783235224 17954271337521152 20198555254711296 22512973044313632 26931407006281728 30017297392418176 33769459566470448 35908542675042304 40397110509422592 45025946088627264 53862814012563456 60034594784836352 67538919132940896 71817085350084608 80794221018845184 90051892177254528 107725628025126912 120069189569672704 135077838265881792 143634170700169216 161588442037690368 180103784354509056 215451256050253824 240138379139345408 270155676531763584 323176884075380736 360207568709018112 430902512100507648 480276758278690816 540311353063527168 646353768150761472 720415137418036224 960553516557381632 1080622706127054336 1292707536301522944 1440830274836072448 1921107033114763264 2161245412254108672 2881660549672144896 3842214066229526528 4322490824508217344 5763321099344289792 7684428132459053056 8644981649016434688 11526642198688579584 15368856264918106112 17289963298032869376 23053284397377159168 34579926596065738752 46106568794754318336 69159853192131477504 138319706384262955008
• Sum of all divisors σ(n): 403321674202607097288
• Sum of proper divisors (its aliquot sum) s(n): 265001967818344142280
• 138319706384262955008 is an abundant number, because the sum of its proper divisors (265001967818344142280) is greater than itself. Its abundance is 126682261434081187272

Bases of 138319706384262955008

• Binary: 1110111111110010010010100000001101101110110010100110000000000000000₂
• Hexadecimal: 0x77F92501B76530000
• Base-36: T6VZ7QP1NI0W0

Squares and roots of 138319706384262955008

• 138319706384262955008 squared (138319706384262955008²) is 19132341174228714074453593887480232280064
• 138319706384262955008 cubed (138319706384262955008³) is 2646379813662860463366837462653120519958882452307622087360512
• The square root of 138319706384262955008 is 11760939859.7332753731
• The cube root of 138319706384262955008 is 5171636.8278704649

Scales and comparisons

• 138,319,706,384,262,955,008 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,319,706,384,262,955,008 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138319706384262955008 cubic inches would be around 430969.7 feet tall.

Recreational maths with 138319706384262955008

• 138319706384262955008 backwards is 800559262483607913831
• The number of decimal digits it has is: 21
• The sum of 138319706384262955008's digits is 90
• More coming soon!