4142038828819680

Names of 4142038828819680

• Cardinal: 4142038828819680 can be written as Four quadrillion, one hundred forty-two trillion, thirty-eight billion, eight hundred twenty-eight million, eight hundred nineteen thousand, six hundred eighty.

Scientific notation

• Scientific notation: 4.14203882881968 × 10¹⁵

Factors of 4142038828819680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 486744

Divisors of 4142038828819680

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 811 864 1080 1296 1440 1620 1622 2160 2433 2592 3240 3244 4055 4320 4866 6480 6488 7299 8110 9732 12165 12960 12976 14598 16220 19464 21897 24330 25952 29196 32440 36495 38928 43794 48660 58392 64880 65691 72990 77856 87588 97320 109485 116784 129760 131382 145980 175176 194640 218970 233568 262764 291960 328455 350352 389280 437940 485923 525528 583920 656910 657721 700704 875880 971846 1051056 1167840 1313820 1315442 1457769 1751760 1943692 1973163 2102112 2429615 2627640 2630884 2915538 3288605 3503520 3887384 3946326 4373307 4859230 5255280 5261768 5831076 5919489 6577210 7288845 7774768 7892652 8746614 9718460 9865815 10510560 10523536 11662152 11838978 13119921 13154420 14577690 15549536 15785304 17493228 17758467 19436920 19731630 21047072 21866535 23324304 23677956 26239842 26308840 29155380 29597445 31570608 34986456 35516934 38873840 39359763 39463260 43733070 46648608 47355912 52479684 52617680 53275401 58310760 59194890 63141216 65599605 69972912 71033868 77747680 78719526 78926520 87466140 88792335 94711824 104959368 105235360 106550802 116621520 118389780 131199210 139945824 142067736 157439052 157853040 174932280 177584670 189423648 196798815 209918736 213101604 233243040 236779560 262398420 266377005 284135472 314878104 315706080 349864560 355169340 393597630 394083553 419837472 426203208 473559120 524796840 532754010 568270944 629756208 699729120 710338680 787195260 788167106 852406416 947118240 1049593680 1065508020 1182250659 1259512416 1420677360 1574390520 1576334212 1704812832 1970417765 2099187360 2131016040 2364501318 2841354720 3148781040 3152668424 3546751977 3940835530 4262032080 4729002636 5911253295 6297562080 6305336848 7093503954 7881671060 8524064160 9458005272 10640255931 11822506590 12610673696 14187007908 15763342120 17733759885 18916010544 21280511862 23645013180 28374015816 31526684240 31920767793 35467519770 37832021088 42561023724 47290026360 53201279655 56748031632 63053368480 63841535586 70935039540 85122047448 94580052720 106402559310 113496063264 127683071172 141870079080 159603838965 170244094896 189160105440 212805118620 255366142344 283740158160 319207677930 319601761483 340488189792 425610237240 510732284688 567480316320 638415355860 639203522966 851220474480 958805284449 1021464569376 1276830711720 1278407045932 1598008807415 1702440948960 1917610568898 2553661423440 2556814091864 2876415853347 3196017614830 3835221137796 4794026422245 5107322846880 5113628183728 5752831706694 6392035229660 7670442275592 8629247560041 9588052844490 10227256367456 11505663413388 12784070459320 14382079266735 15340884551184 17258495120082 19176105688980 23011326826776 25568140918640 25887742680123 28764158533470 30681769102368 34516990240164 38352211377960 43146237800205 46022653653552 51136281837280 51775485360246 57528317066940 69033980480328 76704422755920 86292475600410 92045307307104 103550970720492 115056634133880 129438713400615 138067960960656 153408845511840 172584951200820 207101941440984 230113268267760 258877426801230 276135921921312 345169902401640 414203882881968 460226536535520 517754853602460 690339804803280 828407765763936 1035509707204920 1380679609606560 2071019414409840 4142038828819680
• Sum of all divisors σ(n): 14636022305385096
• Sum of proper divisors (its aliquot sum) s(n): 10493983476565416
• 4142038828819680 is an abundant number, because the sum of its proper divisors (10493983476565416) is greater than itself. Its abundance is 6351944647745736

Bases of 4142038828819680

• Binary: 1110101101110010100110010001000010011010010011100000₂
• Hexadecimal: 0xEB7299109A4E0
• Base-36: 14S8ADAEM00

Squares and roots of 4142038828819680

• 4142038828819680 squared (4142038828819680²) is 17156485659449906357741955302400
• 4142038828819680 cubed (4142038828819680³) is 71062829767529525420069136510495207509471232000
• The square root of 4142038828819680 is 64358673.2990952821
• The cube root of 4142038828819680 is 160597.2318563565

Scales and comparisons

• 4,142,038,828,819,680 seconds is equal to 131,704,022 years, 30 weeks, 4 days, 10 hours, 48 minutes.
• To count from 1 to 4,142,038,828,819,680 would take you about three hundred ninety-five million, one hundred twelve thousand and sixty-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 4142038828819680 cubic inches would be around 13383.1 feet tall.

Recreational maths with 4142038828819680

• 4142038828819680 backwards is 0869188288302414
• 4142038828819680 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4142038828819680's digits is 72
• More coming soon!