4142780431920
4,142,780,431,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 4142780431920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
4142780431920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 4142780431920:
24 × 32 × 5 × 133 × 67 × 39089
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 67 × 39089)See below for interesting mathematical facts about the number 4142780431920 from the Numbermatics database.
Names of 4142780431920
- Cardinal: 4142780431920 can be written as Four trillion, one hundred forty-two billion, seven hundred eighty million, four hundred thirty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.14278043192 × 1012
Factors of 4142780431920
Divisors of 4142780431920
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 67 72 78 80 90 104 117 120 130 134 144 156 169 180 195 201 208 234 240 260 268 312 335 338 360 390 402 468 507 520 536 585 603 624 670 676 720 780 804 845 871 936 1005 1014 1040 1072 1170 1206 1340 1352 1521 1560 1608 1690 1742 1872 2010 2028 2197 2340 2412 2535 2613 2680 2704 3015 3042 3120 3216 3380 3484 4020 4056 4355 4394 4680 4824 5070 5226 5360 6030 6084 6591 6760 6968 7605 7839 8040 8112 8710 8788 9360 9648 10140 10452 10985 11323 12060 12168 13065 13182 13520 13936 15210 15678 16080 17420 17576 19773 20280 20904 21970 22646 24120 24336 26130 26364 30420 31356 32955 33969 34840 35152 39089 39195 39546 40560 41808 43940 45292 48240 52260 52728 56615 60840 62712 65910 67938 69680 78178 78390 79092 87880 90584 98865 101907 104520 105456 113230 117267 121680 125424 131820 135876 147199 156356 156780 158184 169845 175760 181168 195445 197730 203814 209040 226460 234534 263640 271752 294398 312712 313560 316368 339690 351801 390890 395460 407628 441597 452920 469068 508157 509535 527280 543504 586335 588796 625424 627120 679380 703602 735995 781780 790920 815256 883194 905840 938136 1016314 1019070 1172670 1177592 1324791 1358760 1407204 1471990 1524471 1563560 1581840 1630512 1759005 1766388 1876272 2032628 2038140 2207985 2345340 2355184 2540785 2618963 2649582 2717520 2814408 2943980 3048942 3127120 3518010 3532776 4065256 4076280 4415970 4573413 4690680 5081570 5237926 5299164 5628816 5887960 6097884 6606041 6623955 7036020 7065552 7622355 7856889 8130512 8152560 8831940 9146826 9381360 10163140 10475852 10598328 11775920 12195768 13094815 13212082 13247910 14072040 15244710 15713778 17663880 18293652 19818123 20326280 20951704 21196656 22867065 23570667 24391536 26189630 26424164 26495820 28144080 30489420 31427556 33030205 34046519 35327760 36587304 39284445 39636246 40652560 41903408 45734130 47141334 52379260 52848328 52991640 59454369 60978840 62855112 66060410 68093038 73174608 78568890 79272492 85878533 91468260 94282668 99090615 102139557 104758520 105696656 105983280 117853335 118908738 121957680 125710224 132120820 136186076 157137780 158544984 170232595 171757066 182936520 188565336 198181230 204279114 209517040 235706670 237817476 257635599 264241640 272372152 297271845 306418671 314275560 317089968 340465190 343514132 365873040 377130672 396362460 408558228 429392665 442604747 471413340 475634952 510697785 515271198 528483280 544744304 594543690 612837342 628551120 680930380 687028264 772906797 792724920 817116456 858785330 885209494 942826680 951269904 1021395570 1030542396 1189087380 1225674684 1288177995 1327814241 1361860760 1374056528 1532093355 1545813594 1585449840 1634232912 1717570660 1770418988 1885653360 2042791140 2061084792 2213023735 2378174760 2451349368 2576355990 2655628482 2723721520 3064186710 3091627188 3435141320 3540837976 3864533985 3983442723 4085582280 4122169584 4426047470 4756349520 4902698736 5152711980 5311256964 5753861711 6128373420 6183254376 6639071205 6870282640 7081675952 7729067970 7966885446 8171164560 8852094940 10305423960 10622513928 11507723422 12256746840 12366508752 13278142410 15458135940 15933770892 17261585133 17704189880 19917213615 20610847920 21245027856 23015446844 24513493680 26556284820 28769308555 30916271880 31867541784 34523170266 35408379760 39834427230 46030893688 51784755399 53112569640 57538617110 61832543760 63735083568 69046340532 79668854460 86307925665 92061787376 103569510798 106225139280 115077234220 138092681064 159337708920 172615851330 207139021596 230154468440 258923776995 276185362128 318675417840 345231702660 414278043192 460308936880 517847553990 690463405320 828556086384 1035695107980 1380926810640 2071390215960 4142780431920
- Sum of all divisors σ(n): 15297055300800
- Sum of proper divisors (its aliquot sum) s(n): 11154274868880
- 4142780431920 is an abundant number, because the sum of its proper divisors (11154274868880) is greater than itself. Its abundance is 7011494436960
Bases of 4142780431920
- Binary: 1111000100100100001111010010111110001100002
- Hexadecimal: 0x3C490F4BE30
- Base-36: 1GV60I7G0
Squares and roots of 4142780431920
- 4142780431920 squared (41427804319202) is 17162629707099261754886400
- 4142780431920 cubed (41427804319203) is 71101006510859702703221417362533888000
-
The
square root of 4142780431920 is 2035382.1341261695 -
The
cube root of 4142780431920 is 16060.6815888335
Scales and comparisons
How big is 4142780431920?- 4,142,780,431,920 seconds is equal to 131,727 years, 31 weeks, 2 days, 14 hours, 12 minutes.
-
To count from 1 to 4,142,780,431,920 would take you about three hundred twenty-nine thousand, three hundred nineteen 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 4142780431920 cubic inches would be around 1338.4 feet tall.
Recreational maths with 4142780431920
- 4142780431920 backwards is 0291340872414
- 4142780431920 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4142780431920's digits is 45
- More coming soon!
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