138310866192826368

Names of 138310866192826368

• Cardinal: 138310866192826368 can be written as One hundred thirty-eight quadrillion, three hundred ten trillion, eight hundred sixty-six billion, one hundred ninety-two million, eight hundred twenty-six thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38310866192826368 × 10¹⁷

Factors of 138310866192826368

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 45
• Sum of prime factors: 1558

Divisors of 138310866192826368

• Number of divisors d(n): 410
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1553 1728 2048 2304 2592 3072 3106 3456 4096 4608 4659 5184 6144 6212 6912 8192 9216 9318 10368 12288 12424 13824 13977 16384 18432 18636 20736 24576 24848 27648 27954 32768 36864 37272 41472 41931 49152 49696 55296 55908 65536 73728 74544 82944 83862 98304 99392 110592 111816 125793 131072 147456 149088 165888 167724 196608 198784 221184 223632 251586 262144 294912 298176 331776 335448 393216 397568 442368 447264 503172 524288 589824 596352 663552 670896 786432 795136 884736 894528 1006344 1048576 1179648 1192704 1327104 1341792 1572864 1590272 1769472 1789056 2012688 2097152 2359296 2385408 2654208 2683584 3145728 3180544 3538944 3578112 4025376 4194304 4718592 4770816 5308416 5367168 6291456 6361088 7077888 7156224 8050752 8388608 9437184 9541632 10616832 10734336 12582912 12722176 14155776 14312448 16101504 16777216 18874368 19083264 21233664 21468672 25165824 25444352 28311552 28624896 32203008 33554432 37748736 38166528 42467328 42937344 50331648 50888704 56623104 57249792 64406016 67108864 75497472 76333056 84934656 85874688 100663296 101777408 113246208 114499584 128812032 134217728 150994944 152666112 169869312 171749376 201326592 203554816 226492416 228999168 257624064 268435456 301989888 305332224 339738624 343498752 402653184 407109632 452984832 457998336 515248128 536870912 603979776 610664448 679477248 686997504 805306368 814219264 905969664 915996672 1030496256 1073741824 1207959552 1221328896 1358954496 1373995008 1610612736 1628438528 1811939328 1831993344 2060992512 2147483648 2415919104 2442657792 2717908992 2747990016 3221225472 3256877056 3623878656 3663986688 4121985024 4294967296 4831838208 4885315584 5435817984 5495980032 6442450944 6513754112 7247757312 7327973376 8243970048 8589934592 9663676416 9770631168 10871635968 10991960064 12884901888 13027508224 14495514624 14655946752 16487940096 17179869184 19327352832 19541262336 21743271936 21983920128 25769803776 26055016448 28991029248 29311893504 32975880192 34359738368 38654705664 39082524672 43486543872 43967840256 51539607552 52110032896 57982058496 58623787008 65951760384 68719476736 77309411328 78165049344 86973087744 87935680512 103079215104 104220065792 115964116992 117247574016 131903520768 137438953472 154618822656 156330098688 173946175488 175871361024 206158430208 208440131584 231928233984 234495148032 263807041536 274877906944 309237645312 312660197376 347892350976 351742722048 412316860416 416880263168 463856467968 468990296064 527614083072 549755813888 618475290624 625320394752 695784701952 703485444096 824633720832 833760526336 927712935936 937980592128 1055228166144 1099511627776 1236950581248 1250640789504 1391569403904 1406970888192 1649267441664 1667521052672 1855425871872 1875961184256 2110456332288 2473901162496 2501281579008 2783138807808 2813941776384 3298534883328 3335042105344 3710851743744 3751922368512 4220912664576 4947802324992 5002563158016 5566277615616 5627883552768 6670084210688 7421703487488 7503844737024 8441825329152 9895604649984 10005126316032 11132555231232 11255767105536 13340168421376 14843406974976 15007689474048 16883650658304 20010252632064 22265110462464 22511534211072 26680336842752 29686813949952 30015378948096 33767301316608 40020505264128 44530220924928 45023068422144 53360673685504 60030757896192 67534602633216 80041010528256 89060441849856 90046136844288 106721347371008 120061515792384 135069205266432 160082021056512 180092273688576 213442694742016 240123031584768 270138410532864 320164042113024 360184547377152 426885389484032 480246063169536 540276821065728 640328084226048 720369094754304 853770778968064 960492126339072 1080553642131456 1280656168452096 1440738189508608 1707541557936128 1920984252678144 2161107284262912 2561312336904192 2881476379017216 3841968505356288 4322214568525824 5122624673808384 5762952758034432 7683937010712576 8644429137051648 11525905516068864 15367874021425152 17288858274103296 23051811032137728 34577716548206592 46103622064275456 69155433096413184 138310866192826368
• Sum of all divisors σ(n): 413491138834276734
• Sum of proper divisors (its aliquot sum) s(n): 275180272641450366
• 138310866192826368 is an abundant number, because the sum of its proper divisors (275180272641450366) is greater than itself. Its abundance is 136869406448623998

Bases of 138310866192826368

• Binary: 111101011011000010000000000000000000000000000000000000000₂
• Hexadecimal: 0x1EB610000000000
• Base-36: 11TV3YREGW00

Squares and roots of 138310866192826368

• 138310866192826368 squared (138310866192826368²) is 19129895707009919928611384196071424
• 138310866192826368 cubed (138310866192826368³) is 2645872445414972605318413725422304949274236558508032
• The square root of 138310866192826368 is 371901688.8813848449
• The cube root of 138310866192826368 is 517152.6650189111

Scales and comparisons

• 138,310,866,192,826,368 seconds is equal to 4,397,857,721 years, 17 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,310,866,192,826,368 would take you about thirteen billion, one hundred ninety-three million, five hundred seventy-three thousand, one hundred sixty-three 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 138310866192826368 cubic inches would be around 43096.1 feet tall.

Recreational maths with 138310866192826368

• 138310866192826368 backwards is 863628291668013831
• 138310866192826368 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138310866192826368's digits is 81
• More coming soon!