668814677132800

Names of 668814677132800

• Cardinal: 668814677132800 can be written as Six hundred sixty-eight trillion, eight hundred fourteen billion, six hundred seventy-seven million, one hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 6.688146771328 × 10¹⁴

Factors of 668814677132800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 59

Divisors of 668814677132800

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 64 80 82 88 100 110 128 160 164 176 200 205 220 256 275 320 328 352 400 410 440 451 512 550 640 656 704 800 820 880 902 1025 1100 1280 1312 1408 1600 1640 1681 1760 1804 2050 2200 2255 2560 2624 2816 3200 3280 3362 3520 3608 4100 4400 4510 5248 5632 6400 6560 6724 7040 7216 8200 8405 8800 9020 10496 11275 12800 13120 13448 14080 14432 16400 16810 17600 18040 18491 20992 22550 26240 26896 28160 28864 32800 33620 35200 36080 36982 42025 45100 52480 53792 57728 65600 67240 68921 70400 72160 73964 84050 90200 92455 104960 107584 115456 131200 134480 137842 140800 144320 147928 168100 180400 184910 215168 230912 262400 268960 275684 288640 295856 336200 344605 360800 369820 430336 462275 524800 537920 551368 577280 591712 672400 689210 721600 739640 758131 860672 924550 1075840 1102736 1154560 1183424 1344800 1378420 1443200 1479280 1516262 1723025 1849100 2151680 2205472 2366848 2689600 2756840 2825761 2886400 2958560 3032524 3446050 3698200 3790655 4303360 4410944 4733696 5379200 5513680 5651522 5772800 5917120 6065048 6892100 7396400 7581310 8821888 9467392 10758400 11027360 11303044 11834240 12130096 13784200 14128805 14792800 15162620 17643776 18953275 21516800 22054720 22606088 23668480 24260192 27568400 28257610 29585600 30325240 31083371 35287552 37906550 44109440 45212176 47336960 48520384 55136800 56515220 59171200 60650480 62166742 70644025 75813100 88218880 90424352 97040768 110273600 113030440 115856201 118342400 121300960 124333484 141288050 151626200 155416855 176437760 180848704 194081536 220547200 226060880 231712402 236684800 242601920 248666968 282576100 303252400 310833710 361697408 388163072 441094400 452121760 463424804 485203840 497333936 565152200 579281005 606504800 621667420 723394816 777084275 882188800 904243520 926849608 970407680 994667872 1130304400 1158562010 1213009600 1243334840 1274418211 1446789632 1554168550 1808487040 1853699216 1940815360 1989335744 2260608800 2317124020 2426019200 2486669680 2548836422 2896405025 3108337100 3616974080 3707398432 3978671488 4521217600 4634248040 4750104241 4852038400 4973339360 5097672844 5792810050 6216674200 6372091055 7233948160 7414796864 7957342976 9042435200 9268496080 9500208482 9704076800 9946678720 10195345688 11585620100 12433348400 12744182110 14829593728 15914685952 18084870400 18536992160 19000416964 19893357440 20390691376 23171240200 23750521205 24866696800 25488364220 29659187456 31860455275 36169740800 37073984320 38000833928 39786714880 40781382752 46342480400 47501042410 49733393600 50976728440 52251146651 59318374912 63720910550 74147968640 76001667856 79573429760 81562765504 92684960800 95002084820 99466787200 101953456880 104502293302 118752606025 127441821100 148295937280 152003335712 163125531008 185369921600 190004169640 198933574400 203906913760 209004586604 237505212050 254883642200 261255733255 296591874560 304006671424 326251062016 370739843200 380008339280 397867148800 407813827520 418009173208 475010424100 509767284400 522511466510 608013342848 652502124032 741479686400 760016678560 815627655040 836018346416 950020848200 1019534568800 1045022933020 1216026685696 1306278666275 1482959372800 1520033357120 1631255310080 1672036692832 1900041696400 2039069137600 2090045866040 2432053371392 2612557332550 3040066714240 3262510620160 3344073385664 3800083392800 4078138275200 4180091732080 5225114665100 6080133428480 6688146771328 7600166785600 8156276550400 8360183464160 10450229330200 12160266856960 13376293542656 15200333571200 16312553100800 16720366928320 20900458660400 26752587085312 30400667142400 33440733856640 41800917320800 60801334284800 66881467713280 83601834641600 133762935426560 167203669283200 334407338566400 668814677132800
• Sum of all divisors σ(n): 1852872686266932
• Sum of proper divisors (its aliquot sum) s(n): 1184058009134132
• 668814677132800 is an abundant number, because the sum of its proper divisors (1184058009134132) is greater than itself. Its abundance is 515243332001332

Bases of 668814677132800

• Binary: 10011000000100100010001101010000000100011000000000₂
• Hexadecimal: 0x260488D404600
• Base-36: 6L2P7YHC74

Squares and roots of 668814677132800

• 668814677132800 squared (668814677132800²) is 447313072348251507228835840000
• 668814677132800 cubed (668814677132800³) is 299169548059876639329864807575613079552000000
• The square root of 668814677132800 is 25861451.5666232471
• The cube root of 668814677132800 is 87451.7688862873
• Being both a perfect square and a perfect cube, 668814677132800 is also a perfect sixth number.

Scales and comparisons

• 668,814,677,132,800 seconds is equal to 21,266,237 years, 49 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 668,814,677,132,800 would take you about fifty-three million, one hundred sixty-five thousand, five hundred ninety-four 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 668814677132800 cubic inches would be around 7287.6 feet tall.

Recreational maths with 668814677132800

• 668814677132800 backwards is 008231776418866
• The number of decimal digits it has is: 15
• The sum of 668814677132800's digits is 67
• More coming soon!