490972164133001600

Names of 490972164133001600

• Cardinal: 490972164133001600 can be written as Four hundred ninety quadrillion, nine hundred seventy-two trillion, one hundred sixty-four billion, one hundred thirty-three million, one thousand, six hundred.

Scientific notation

• Scientific notation: 4.909721641330016 × 10¹⁷

Factors of 490972164133001600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 140161345

Divisors of 490972164133001600

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 95 100 112 128 133 140 152 160 175 190 200 224 266 280 304 320 350 380 400 448 475 532 560 608 640 665 700 760 800 896 950 1064 1120 1216 1330 1400 1520 1600 1900 2128 2240 2432 2660 2800 3040 3200 3325 3800 4256 4480 5320 5600 6080 6650 7600 8231 8512 10640 11200 12160 13300 15200 16462 17024 21280 22400 26600 30400 32924 41155 42560 53200 57617 60800 65848 82310 85120 106400 115234 131696 156389 164620 205775 212800 230468 263392 288085 312778 329240 411550 425600 460936 526784 576170 625556 658480 781945 823100 921872 1053568 1094723 1152340 1251112 1316960 1440425 1563890 1646200 1843744 2189446 2304680 2502224 2633920 2880850 3127780 3292400 3687488 3909725 4378892 4609360 5004448 5267840 5473615 5761700 6255560 6584800 7374976 7819450 8757784 9218720 10008896 10947230 11523400 12511120 13169600 15638900 17515568 18437440 20017792 21894460 23046800 25022240 26339200 27368075 31277800 35031136 36874880 43788920 46093600 50044480 54736150 62555600 70062272 87577840 92187200 100088960 109472300 125111200 140124544 140153081 175155680 184374400 218944600 250222400 280306162 350311360 437889200 500444800 560612324 700622720 700765405 875778400 981071567 1121224648 1401530810 1751556800 1962143134 2242449296 2662908539 2803061620 3503113600 3503827025 3924286268 4484898592 4905357835 5325817078 5606123240 7007654050 7848572536 8969797184 9810715670 10651634156 11212246480 13314542695 14015308100 15697145072 17939594368 18640359773 19621431340 21303268312 22424492960 24526789175 26629085390 28030616200 31394290144 37280719546 39242862680 42606536624 44848985920 49053578350 53258170780 56061232400 62788580288 66572713475 74561439092 78485725360 85213073248 89697971840 93201798865 98107156700 106516341560 112122464800 125577160576 133145426950 149122878184 156971450720 170426146496 186403597730 196214313400 213032683120 224244929600 266290853900 298245756368 313942901440 340852292992 372807195460 392428626800 426065366240 448489859200 466008994325 532581707800 596491512736 627885802880 745614390920 784857253600 852130732480 932017988650 1065163415600 1153600009711 1192983025472 1491228781840 1569714507200 1704261464960 1864035977300 2130326831200 2307200019422 2385966050944 2982457563680 3139429014400 3728071954600 4260653662400 4614400038844 5768000048555 5964915127360 7456143909200 8075200067977 8521307324800 9228800077688 11536000097110 11929830254720 14912287818400 16150400135954 18457600155376 21918400184509 23072000194220 28840000242775 29824575636800 32300800271908 36915200310752 40376000339885 43836800369018 46144000388440 57680000485550 59649151273600 64601600543816 73830400621504 80752000679770 87673600738036 92288000776880 109592000922545 115360000971100 129203201087632 147660801243008 153428801291563 161504001359540 175347201476072 184576001553760 201880001699425 219184001845090 230720001942200 258406402175264 306857602583126 323008002719080 350694402952144 369152003107520 403760003398850 438368003690180 461440003884400 516812804350528 547960004612725 613715205166252 646016005438160 701388805904288 738304006215040 767144006457815 807520006797700 876736007380360 922880007768800 1033625608701056 1095920009225450 1227430410332504 1292032010876320 1402777611808576 1534288012915630 1615040013595400 1753472014760720 1845760015537600 2191840018450900 2454860820665008 2584064021752640 2805555223617152 3068576025831260 3230080027190800 3506944029521440 3691520031075200 3835720032289075 4383680036901800 4909721641330016 5168128043505280 6137152051662520 6460160054381600 7013888059042880 7671440064578150 8767360073803600 9819443282660032 12274304103325040 12920320108763200 14027776118085760 15342880129156300 17534720147607200 19638886565320064 24548608206650080 25840640217526400 30685760258312600 35069440295214400 49097216413300160 61371520516625200 70138880590428800 98194432826600320 122743041033250400 245486082066500800 490972164133001600
• Sum of all divisors σ(n): 1459250568311155200
• Sum of proper divisors (its aliquot sum) s(n): 968278404178153600
• 490972164133001600 is an abundant number, because the sum of its proper divisors (968278404178153600) is greater than itself. Its abundance is 477306240045152000

Bases of 490972164133001600

• Binary: 11011010000010010001001010011111101110000001001100110000000₂
• Hexadecimal: 0x6D04894FDC09980
• Base-36: 3QAB3UGF60ZK

Squares and roots of 490972164133001600

• 490972164133001600 squared (490972164133001600²) is 241053665953443062752614225602560000
• 490972164133001600 cubed (490972164133001600³) is 118350640045355587028112255856271183327741444096000000
• The square root of 490972164133001600 is 700694058.8680637587
• The cube root of 490972164133001600 is 788894.5517847211

Scales and comparisons

• 490,972,164,133,001,600 seconds is equal to 15,611,396,142 years, 42 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 490,972,164,133,001,600 would take you about forty-six billion, eight hundred thirty-four million, one hundred eighty-eight thousand, four 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 490972164133001600 cubic inches would be around 65741.2 feet tall.

Recreational maths with 490972164133001600

• 490972164133001600 backwards is 006100331461279094
• 490972164133001600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 490972164133001600's digits is 56
• More coming soon!