314947409195040768

Names of 314947409195040768

• Cardinal: 314947409195040768 can be written as Three hundred fourteen quadrillion, nine hundred forty-seven trillion, four hundred nine billion, one hundred ninety-five million, forty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.14947409195040768 × 10¹⁷

Factors of 314947409195040768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 45
• Sum of prime factors: 108

Divisors of 314947409195040768

• Number of divisors d(n): 492
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 512 576 618 768 824 864 927 1024 1152 1236 1536 1648 1728 1854 2048 2304 2472 2781 3072 3296 3456 3708 4096 4608 4944 5562 6144 6592 6912 7416 8192 9216 9888 10609 11124 12288 13184 13824 14832 16384 18432 19776 21218 22248 24576 26368 27648 29664 31827 32768 36864 39552 42436 44496 49152 52736 55296 59328 63654 65536 73728 79104 84872 88992 95481 98304 105472 110592 118656 127308 131072 147456 158208 169744 177984 190962 196608 210944 221184 237312 254616 262144 286443 294912 316416 339488 355968 381924 393216 421888 442368 474624 509232 524288 572886 589824 632832 678976 711936 763848 786432 843776 884736 949248 1018464 1048576 1145772 1179648 1265664 1357952 1423872 1527696 1572864 1687552 1769472 1898496 2036928 2097152 2291544 2359296 2531328 2715904 2847744 3055392 3145728 3375104 3538944 3796992 4073856 4194304 4583088 4718592 5062656 5431808 5695488 6110784 6291456 6750208 7077888 7593984 8147712 8388608 9166176 9437184 10125312 10863616 11390976 12221568 12582912 13500416 14155776 15187968 16295424 16777216 18332352 18874368 20250624 21727232 22781952 24443136 25165824 27000832 28311552 30375936 32590848 33554432 36664704 37748736 40501248 43454464 45563904 48886272 50331648 54001664 56623104 60751872 65181696 67108864 73329408 75497472 81002496 86908928 91127808 97772544 100663296 108003328 113246208 121503744 130363392 134217728 146658816 150994944 162004992 173817856 182255616 195545088 201326592 216006656 226492416 243007488 260726784 268435456 293317632 301989888 324009984 347635712 364511232 391090176 402653184 432013312 452984832 486014976 521453568 536870912 586635264 603979776 648019968 695271424 729022464 782180352 805306368 864026624 905969664 972029952 1042907136 1073741824 1173270528 1207959552 1296039936 1390542848 1458044928 1564360704 1610612736 1728053248 1811939328 1944059904 2085814272 2147483648 2346541056 2415919104 2592079872 2781085696 2916089856 3128721408 3221225472 3456106496 3623878656 3888119808 4171628544 4294967296 4693082112 4831838208 5184159744 5562171392 5832179712 6257442816 6442450944 6912212992 7247757312 7776239616 8343257088 8589934592 9386164224 9663676416 10368319488 11124342784 11664359424 12514885632 12884901888 13824425984 14495514624 15552479232 16686514176 17179869184 18772328448 19327352832 20736638976 22248685568 23328718848 25029771264 25769803776 27648851968 28991029248 31104958464 33373028352 34359738368 37544656896 38654705664 41473277952 44497371136 46657437696 50059542528 51539607552 55297703936 57982058496 62209916928 66746056704 68719476736 75089313792 77309411328 82946555904 88994742272 93314875392 100119085056 103079215104 110595407872 115964116992 124419833856 133492113408 137438953472 150178627584 154618822656 165893111808 177989484544 186629750784 200238170112 206158430208 221190815744 231928233984 248839667712 266984226816 274877906944 300357255168 309237645312 331786223616 355978969088 373259501568 400476340224 412316860416 442381631488 463856467968 497679335424 533968453632 549755813888 600714510336 618475290624 663572447232 711957938176 746519003136 800952680448 824633720832 884763262976 927712935936 995358670848 1067936907264 1099511627776 1201429020672 1236950581248 1327144894464 1423915876352 1493038006272 1601905360896 1649267441664 1769526525952 1855425871872 1990717341696 2135873814528 2402858041344 2473901162496 2654289788928 2847831752704 2986076012544 3203810721792 3298534883328 3539053051904 3710851743744 3981434683392 4271747629056 4805716082688 4947802324992 5308579577856 5695663505408 5972152025088 6407621443584 7078106103808 7421703487488 7962869366784 8543495258112 9611432165376 9895604649984 10617159155712 11391327010816 11944304050176 12815242887168 14156212207616 14843406974976 15925738733568 17086990516224 19222864330752 21234318311424 22782654021632 23888608100352 25630485774336 28312424415232 29686813949952 31851477467136 34173981032448 38445728661504 42468636622848 45565308043264 47777216200704 51260971548672 56624848830464 63702954934272 68347962064896 76891457323008 84937273245696 91130616086528 95554432401408 102521943097344 113249697660928 127405909868544 136695924129792 153782914646016 169874546491392 182261232173056 191108864802816 205043886194688 254811819737088 273391848259584 307565829292032 339749092982784 364522464346112 382217729605632 410087772389376 509623639474176 546783696519168 615131658584064 729044928692224 764435459211264 820175544778752 1019247278948352 1093567393038336 1230263317168128 1458089857384448 1528870918422528 1640351089557504 2187134786076672 2460526634336256 2916179714768896 3057741836845056 3280702179115008 4374269572153344 4921053268672512 5832359429537792 6561404358230016 8748539144306688 9842106537345024 11664718859075584 13122808716460032 17497078288613376 19684213074690048 26245617432920064 34994156577226752 39368426149380096 52491234865840128 78736852298760192 104982469731680256 157473704597520384 314947409195040768
• Sum of all divisors σ(n): 942325445468714520
• Sum of proper divisors (its aliquot sum) s(n): 627378036273673752
• 314947409195040768 is an abundant number, because the sum of its proper divisors (627378036273673752) is greater than itself. Its abundance is 312430627078632984

Bases of 314947409195040768

• Binary: 10001011110111010110000000000000000000000000000000000000000₂
• Hexadecimal: 0x45EEB0000000000
• Base-36: 2E53JEDXLHC0

Squares and roots of 314947409195040768

• 314947409195040768 squared (314947409195040768²) is 99191870558668450099981125182029824
• 314947409195040768 cubed (314947409195040768³) is 31240222645662469462154129889854941870533252671864832
• The square root of 314947409195040768 is 561201754.4475790107
• The cube root of 314947409195040768 is 680371.3435956309

Scales and comparisons

• 314,947,409,195,040,768 seconds is equal to 10,014,353,416 years, 5 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 314,947,409,195,040,768 would take you about thirty billion, forty-three million, sixty thousand, two hundred forty-eight 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 314947409195040768 cubic inches would be around 56697.6 feet tall.

Recreational maths with 314947409195040768

• 314947409195040768 backwards is 867040591904749413
• The number of decimal digits it has is: 18
• The sum of 314947409195040768's digits is 81
• More coming soon!