668989474734080000

Names of 668989474734080000

• Cardinal: 668989474734080000 can be written as Six hundred sixty-eight quadrillion, nine hundred eighty-nine trillion, four hundred seventy-four billion, seven hundred thirty-four million, eighty thousand.

Scientific notation

• Scientific notation: 6.6898947473408 × 10¹⁷

Factors of 668989474734080000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 39
• Sum of prime factors: 360

Divisors of 668989474734080000

• Number of divisors d(n): 510
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 353 400 500 512 625 640 706 800 1000 1024 1250 1280 1412 1600 1765 2000 2048 2500 2560 2824 3200 3530 4000 4096 5000 5120 5648 6400 7060 8000 8192 8825 10000 10240 11296 12800 14120 16000 16384 17650 20000 20480 22592 25600 28240 32000 32768 35300 40000 40960 44125 45184 51200 56480 64000 65536 70600 80000 81920 88250 90368 102400 112960 124609 128000 131072 141200 160000 163840 176500 180736 204800 220625 225920 249218 256000 262144 282400 320000 327680 353000 361472 409600 441250 451840 498436 512000 524288 564800 623045 640000 655360 706000 722944 819200 882500 903680 996872 1024000 1048576 1129600 1246090 1280000 1310720 1412000 1445888 1638400 1765000 1807360 1993744 2048000 2097152 2259200 2492180 2560000 2621440 2824000 2891776 3115225 3276800 3530000 3614720 3987488 4096000 4194304 4518400 4984360 5120000 5242880 5648000 5783552 6230450 6553600 7060000 7229440 7974976 8192000 8388608 9036800 9968720 10240000 10485760 11296000 11567104 12460900 13107200 14120000 14458880 15576125 15949952 16384000 16777216 18073600 19937440 20480000 20971520 22592000 23134208 24921800 26214400 28240000 28917760 31152250 31899904 32768000 33554432 36147200 39874880 40960000 41943040 45184000 46268416 49843600 52428800 56480000 57835520 62304500 63799808 65536000 67108864 72294400 77880625 79749760 81920000 83886080 90368000 92536832 99687200 104857600 112960000 115671040 124609000 127599616 131072000 134217728 144588800 155761250 159499520 163840000 167772160 180736000 185073664 199374400 209715200 225920000 231342080 249218000 255199232 262144000 268435456 289177600 311522500 318999040 327680000 335544320 361472000 370147328 398748800 419430400 451840000 462684160 498436000 510398464 524288000 536870912 578355200 623045000 637998080 655360000 671088640 722944000 740294656 797497600 838860800 903680000 925368320 996872000 1020796928 1048576000 1073741824 1156710400 1246090000 1275996160 1310720000 1342177280 1445888000 1480589312 1594995200 1677721600 1807360000 1850736640 1993744000 2041593856 2097152000 2147483648 2313420800 2492180000 2551992320 2621440000 2684354560 2891776000 2961178624 3189990400 3355443200 3614720000 3701473280 3987488000 4083187712 4194304000 4294967296 4626841600 4984360000 5103984640 5242880000 5368709120 5783552000 5922357248 6379980800 6710886400 7229440000 7402946560 7974976000 8166375424 8388608000 8589934592 9253683200 9968720000 10207969280 10485760000 10737418240 11567104000 11844714496 12759961600 13421772800 14458880000 14805893120 15949952000 16332750848 16777216000 18507366400 19937440000 20415938560 20971520000 21474836480 23134208000 23689428992 25519923200 26843545600 28917760000 29611786240 31899904000 32665501696 33554432000 37014732800 39874880000 40831877120 41943040000 42949672960 46268416000 47378857984 51039846400 53687091200 57835520000 59223572480 63799808000 65331003392 67108864000 74029465600 79749760000 81663754240 83886080000 92536832000 94757715968 102079692800 107374182400 115671040000 118447144960 127599616000 130662006784 134217728000 148058931200 159499520000 163327508480 167772160000 185073664000 189515431936 204159385600 214748364800 231342080000 236894289920 255199232000 261324013568 268435456000 296117862400 318999040000 326655016960 335544320000 370147328000 379030863872 408318771200 462684160000 473788579840 510398464000 522648027136 536870912000 592235724800 637998080000 653310033920 671088640000 740294656000 758061727744 816637542400 925368320000 947577159680 1020796928000 1045296054272 1073741824000 1184471449600 1275996160000 1306620067840 1342177280000 1480589312000 1516123455488 1633275084800 1850736640000 1895154319360 2041593856000 2090592108544 2368942899200 2551992320000 2613240135680 2684354560000 2961178624000 3032246910976 3266550169600 3701473280000 3790308638720 4083187712000 4181184217088 4737885798400 5103984640000 5226480271360 5368709120000 5922357248000 6533100339200 7402946560000 7580617277440 8166375424000 8362368434176 9475771596800 10207969280000 10452960542720 11844714496000 13066200678400 14805893120000 15161234554880 16332750848000 16724736868352 18951543193600 20415938560000 20905921085440 23689428992000 26132401356800 29611786240000 32665501696000 33449473736704 37903086387200 40831877120000 41811842170880 47378857984000 52264802713600 59223572480000 65331003392000 66898947473408 75806172774400 81663754240000 83623684341760 94757715968000 104529605427200 118447144960000 130662006784000 133797894946816 163327508480000 167247368683520 189515431936000 209059210854400 236894289920000 261324013568000 267595789893632 326655016960000 334494737367040 379030863872000 418118421708800 473788579840000 522648027136000 535191579787264 653310033920000 668989474734080 836236843417600 947577159680000 1045296054272000 1070383159574528 1306620067840000 1337978949468160 1672473686835200 1895154319360000 2090592108544000 2613240135680000 2675957898936320 3344947373670400 4181184217088000 5226480271360000 5351915797872640 6689894747340800 8362368434176000 10452960542720000 13379789494681600 16724736868352000 20905921085440000 26759578989363200 33449473736704000 41811842170880000 66898947473408000 83623684341760000 133797894946816000 167247368683520000 334494737367040000 668989474734080000
• Sum of all divisors σ(n): 1676688282310593849
• Sum of proper divisors (its aliquot sum) s(n): 1007698807576513849
• 668989474734080000 is an abundant number, because the sum of its proper divisors (1007698807576513849) is greater than itself. Its abundance is 338709332842433849

Bases of 668989474734080000

• Binary: 100101001000101110100110001000000000000000000000000000000000₂
• Hexadecimal: 0x948BA6200000000
• Base-36: 52Z4Z5YKAN7K

Squares and roots of 668989474734080000

• 668989474734080000 squared (668989474734080000²) is 447546917304980262686713446400000000
• 668989474734080000 cubed (668989474734080000³) is 299404177126715484570406166528925800333312000000000000
• The square root of 668989474734080000 is 817917767.7090038615
• The cube root of 668989474734080000 is 874593.8685502423

Scales and comparisons

• 668,989,474,734,080,000 seconds is equal to 21,271,795,976 years, 12 weeks, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 668,989,474,734,080,000 would take you about sixty-three billion, eight hundred fifteen million, three hundred eighty-seven thousand, nine hundred twenty-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 668989474734080000 cubic inches would be around 72882.8 feet tall.

Recreational maths with 668989474734080000

• 668989474734080000 backwards is 000080437474989866
• The number of decimal digits it has is: 18
• The sum of 668989474734080000's digits is 83
• More coming soon!