4168981588408000

Names of 4168981588408000

• Cardinal: 4168981588408000 can be written as Four quadrillion, one hundred sixty-eight trillion, nine hundred eighty-one billion, five hundred eighty-eight million, four hundred eight thousand.

Scientific notation

• Scientific notation: 4.168981588408 × 10¹⁵

Factors of 4168981588408000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 174789

Divisors of 4168981588408000

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 130 140 160 175 182 200 208 224 250 260 280 320 325 350 364 400 416 448 455 500 520 560 650 700 728 800 832 875 910 1000 1040 1120 1300 1400 1456 1600 1625 1750 1820 2000 2080 2240 2275 2600 2800 2912 3250 3500 3640 4000 4160 4550 5200 5600 5824 6500 7000 7280 8000 9100 10400 11200 11375 13000 14000 14560 18200 20800 22750 26000 28000 29120 36400 43691 45500 52000 56000 72800 87382 91000 104000 131071 145600 174764 182000 218455 262142 305837 349528 364000 436910 524284 567983 611674 655355 699056 728000 873820 917497 1048568 1092275 1135966 1223348 1310710 1398112 1529185 1703923 1747640 1834994 2097136 2184550 2271932 2446696 2621420 2796224 2839915 3058370 3276775 3407846 3495280 3669988 3975881 4194272 4369100 4543864 4587485 4893392 5242840 5461375 5679830 6116740 6553550 6815692 6990560 7339976 7645925 7951762 8388544 8519615 8738200 9087728 9174970 9786784 10485680 10922750 11359660 11927461 12233480 13107100 13631384 13981120 14199575 14679952 15291850 15903524 16383875 17039230 17476400 18175456 18349940 19573568 19879405 20971360 21845500 22719320 22937425 23854922 24466960 26214200 27262768 28399150 29359904 30583700 31807048 32767750 34078460 34952800 36350912 36699880 38229625 39758810 41942720 42598075 43691000 45438640 45874850 47709844 48933920 52428400 54525536 56798300 58719808 59637305 61167400 63614096 65535500 68156920 69905600 70997875 73399760 76459250 79517620 85196150 87382000 90877280 91749700 95419688 97867840 99397025 104856800 109051072 113596600 114687125 119274610 122334800 127228192 131071000 136313840 141995750 146799520 152918500 159035240 170392300 174764000 181754560 183499400 190839376 198794050 209713600 212990375 227193200 229374250 238549220 244669600 254456384 262142000 272627680 283991500 293599040 298186525 305837000 318070480 340784600 349528000 366998800 381678752 397588100 425980750 454386400 458748500 477098440 489339200 496985125 524284000 545255360 567983000 596373050 611674000 636140960 681569200 733997600 763357504 795176200 851961500 908772800 917497000 954196880 993970250 1048568000 1135966000 1192746100 1223348000 1272281920 1363138400 1467995200 1490932625 1590352400 1703923000 1834994000 1908393760 1987940500 2271932000 2385492200 2446696000 2726276800 2981865250 3180704800 3407846000 3669988000 3816787520 3975881000 4543864000 4770984400 5726623061 5963730500 6361409600 6815692000 7339976000 7951762000 9541968800 11453246122 11927461000 13631384000 15903524000 19083937600 22906492244 23854922000 28633115305 31807048000 40086361427 45812984488 47709844000 57266230610 74446099793 80172722854 91625968976 95419688000 114532461220 143165576525 148892199586 160345445708 183251937952 200431807135 229064922440 286331153050 297784399172 320690891416 366503875904 372230498965 400863614270 458129844880 521122698551 572662306100 595568798344 641381782832 715827882625 744460997930 801727228540 916259689760 1002159035675 1042245397102 1145324612200 1191137596688 1282763565664 1431655765250 1488921995860 1603454457080 1832519379520 1861152494825 2004318071350 2084490794204 2290649224400 2382275193376 2565527131328 2605613492755 2863311530500 2977843991720 3206908914160 3722304989650 4008636142700 4168981588408 4581298448800 4764550386752 5010795178375 5211226985510 5726623061000 5955687983440 6413817828320 7444609979300 8017272285400 8337963176816 9162596897600 9305762474125 10021590356750 10422453971020 11453246122000 11911375966880 12827635656640 13028067463775 14889219958600 16034544570800 16675926353632 18611524948250 20043180713500 20844907942040 22906492244000 23822751933760 26056134927550 29778439917200 32069089141600 33351852707264 37223049896500 40086361427000 41689815884080 45812984488000 52112269855100 59556879834400 64138178283200 65140337318875 74446099793000 80172722854000 83379631768160 104224539710200 119113759668800 130280674637750 148892199586000 160345445708000 166759263536320 208449079420400 260561349275500 297784399172000 320690891416000 416898158840800 521122698551000 595568798344000 833796317681600 1042245397102000 2084490794204000 4168981588408000
• Sum of all divisors σ(n): 12707443670777856
• Sum of proper divisors (its aliquot sum) s(n): 8538462082369856
• 4168981588408000 is an abundant number, because the sum of its proper divisors (8538462082369856) is greater than itself. Its abundance is 4369480493961856

Bases of 4168981588408000

• Binary: 1110110011111010101010101010101001101111011011000000₂
• Hexadecimal: 0xECFAAAAA6F6C0
• Base-36: 151S3P9TN0G

Squares and roots of 4168981588408000

• 4168981588408000 squared (4168981588408000²) is 17380407484484890719974464000000
• 4168981588408000 cubed (4168981588408000³) is 72458598801846111329435439659918413312000000000
• The square root of 4168981588408000 is 64567651.2536115101
• The cube root of 4168981588408000 is 160944.6923486871

Scales and comparisons

• 4,168,981,588,408,000 seconds is equal to 132,560,719 years, 1 day, 16 hours, 26 minutes, 40 seconds.
• To count from 1 to 4,168,981,588,408,000 would take you about three hundred ninety-seven million, six hundred eighty-two thousand, one hundred fifty-seven 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 4168981588408000 cubic inches would be around 13412.1 feet tall.

Recreational maths with 4168981588408000

• 4168981588408000 backwards is 0008048851898614
• 4168981588408000 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4168981588408000's digits is 70
• More coming soon!