668122893975025664

Names of 668122893975025664

• Cardinal: 668122893975025664 can be written as Six hundred sixty-eight quadrillion, one hundred twenty-two trillion, eight hundred ninety-three billion, nine hundred seventy-five million, twenty-five thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 6.68122893975025664 × 10¹⁷

Factors of 668122893975025664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 376

Divisors of 668122893975025664

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 367 392 448 512 734 784 896 1024 1468 1568 1792 2048 2569 2936 3136 3584 5138 5872 6272 7168 10276 11744 12544 14336 17983 20552 23488 25088 35966 41104 46976 50176 71932 82208 93952 100352 134689 143864 164416 187904 269378 287728 328832 375808 538756 575456 657664 751616 942823 1077512 1150912 1315328 1885646 2155024 2301824 2630656 3771292 4310048 4603648 5261312 6599761 7542584 8620096 9207296 13199522 15085168 17240192 18414592 26399044 30170336 34480384 36829184 49430863 52798088 60340672 68960768 98861726 105596176 120681344 137921536 197723452 211192352 241362688 275843072 346016041 395446904 422384704 482725376 692032082 790893808 844769408 965450752 1384064164 1581787616 1689538816 1930901504 2422112287 2768128328 3163575232 3379077632 4844224574 5536256656 6327150464 6758155264 9688449148 11072513312 12654300928 13516310528 18141126721 19376898296 22145026624 25308601856 36282253442 38753796592 44290053248 50617203712 72564506884 77507593184 88580106496 101234407424 126987887047 145129013768 155015186368 177160212992 253975774094 290258027536 310030372736 354320425984 507951548188 580516055072 620060745472 708640851968 888915209329 1015903096376 1161032110144 1240121490944 1777830418658 2031806192752 2322064220288 2480242981888 3555660837316 4063612385504 4644128440576 4960485963776 6657793506607 7111321674632 8127224771008 9288256881152 13315587013214 14222643349264 16254449542016 18576513762304 26631174026428 28445286698528 32508899084032 37153027524608 46604554546249 53262348052856 56890573397056 65017798168064 93209109092498 106524696105712 113781146794112 130035596336128 186418218184996 213049392211424 227562293588224 260071192672256 326231881823743 372836436369992 426098784422848 455124587176448 652463763647486 745672872739984 852197568845696 910249174352896 1304927527294972 1491345745479968 1704395137691392 1820498348705792 2609855054589944 2982691490959936 3408790275382784 5219710109179888 5965382981919872 6817580550765568 10439420218359776 11930765963839744 13635161101531136 20878840436719552 23861531927679488 41757680873439104 47723063855358976 83515361746878208 95446127710717952 167030723493756416 334061446987512832 668122893975025664
• Sum of all divisors σ(n): 1558274851867471920
• Sum of proper divisors (its aliquot sum) s(n): 890151957892446256
• 668122893975025664 is an abundant number, because the sum of its proper divisors (890151957892446256) is greater than itself. Its abundance is 222029063917420592

Bases of 668122893975025664

• Binary: 100101000101101001100011101101110001101011111111100000000000₂
• Hexadecimal: 0x945A63B71AFF800
• Base-36: 52QLSS96T1Q8

Squares and roots of 668122893975025664

• 668122893975025664 squared (668122893975025664²) is 446388201453563384712526949458640896
• 668122893975025664 cubed (668122893975025664³) is 298242176991461526277031883158190977297437908159954944
• The square root of 668122893975025664 is 817387847.9492007129
• The cube root of 668122893975025664 is 874216.0680336565

Scales and comparisons

• 668,122,893,975,025,664 seconds is equal to 21,244,241,388 years, 31 weeks, 2 days, 16 hours, 27 minutes, 44 seconds.
• To count from 1 to 668,122,893,975,025,664 would take you about sixty-three billion, seven hundred thirty-two million, seven hundred twenty-four thousand, one hundred sixty-five 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 668122893975025664 cubic inches would be around 72851.3 feet tall.

Recreational maths with 668122893975025664

• 668122893975025664 backwards is 466520579398221866
• The number of decimal digits it has is: 18
• The sum of 668122893975025664's digits is 89
• More coming soon!