42414228415840
42,414,228,415,840 is an even composite number composed of five prime numbers multiplied together.
What does the number 42414228415840 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
42414228415840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 42414228415840:
25 × 5 × 192 × 313 × 1572
(2 × 2 × 2 × 2 × 2 × 5 × 19 × 19 × 31 × 31 × 31 × 157 × 157)See below for interesting mathematical facts about the number 42414228415840 from the Numbermatics database.
Names of 42414228415840
- Cardinal: 42414228415840 can be written as Forty-two trillion, four hundred fourteen billion, two hundred twenty-eight million, four hundred fifteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.241422841584 × 1013
Factors of 42414228415840
Divisors of 42414228415840
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 157 160 190 248 304 310 314 361 380 496 589 608 620 628 722 760 785 961 992 1178 1240 1256 1444 1520 1570 1805 1922 2356 2480 2512 2888 2945 2983 3040 3140 3610 3844 4712 4805 4867 4960 5024 5776 5890 5966 6280 7220 7688 9424 9610 9734 11191 11552 11780 11932 12560 14440 14915 15376 18259 18848 19220 19468 22382 23560 23864 24335 24649 25120 28880 29791 29830 30752 36518 38440 38936 44764 47120 47728 48670 49298 55955 56677 57760 59582 59660 73036 76880 77872 89528 91295 92473 94240 95456 97340 98596 111910 113354 119164 119320 123245 146072 148955 150877 153760 155744 179056 182590 184946 194680 197192 223820 226708 238328 238640 246490 283385 292144 297910 301754 346921 358112 365180 369892 389360 394384 447640 453416 462365 468331 476656 477280 492980 566029 566770 584288 595820 603508 693842 730360 739784 754385 764119 778720 788768 895280 906832 924730 936662 953312 985960 1132058 1133540 1191640 1207016 1387684 1460720 1479568 1508770 1528238 1734605 1756987 1790560 1813664 1849460 1873324 1971920 2264116 2267080 2341655 2383280 2414032 2775368 2830145 2866663 2921440 2959136 3017540 3056476 3469210 3513974 3698920 3746648 3820595 3943840 4528232 4534160 4677187 4683310 4766560 4828064 5550736 5660290 5733326 6035080 6112952 6938420 7027948 7397840 7493296 7641190 8784935 8898289 9056464 9068320 9354374 9366620 10754551 11101472 11320580 11466652 12070160 12225904 13876840 14055896 14333315 14518261 14795680 14986592 15282380 17569870 17796578 18112928 18708748 18733240 21509102 22641160 22933304 23385935 23687689 24140320 24451808 27753680 28111792 28666630 29036522 30564760 35139740 35593156 37417496 37466480 43018204 44491445 45282320 45866608 46771870 47375378 53772755 54466597 55507360 56223584 57333260 58073044 61129520 70279480 71186312 72591305 74834992 74932960 86036408 88866553 88982890 90564640 91733216 93543740 94750756 107545510 108933194 114666520 116146088 118438445 122259040 140558960 142372624 145182610 149669984 172072816 177733106 177965780 187087480 189501512 215091020 217866388 229333040 232292176 236876890 272332985 275846959 281117920 284745248 290365220 344145632 355466212 355931560 374174960 379003024 430182040 435732776 444332765 450066091 458666080 464584352 473753780 544665970 551693918 580730440 710932424 711863120 734318359 748349920 758006048 860364080 871465552 888665530 900132182 947507560 1089331940 1103387836 1161460880 1379234795 1421864848 1423726240 1468636718 1688464507 1720728160 1742931104 1777331060 1800264364 1895015120 2178663880 2206775672 2250330455 2322921760 2758469590 2843729696 2937273436 3376929014 3554662120 3600528728 3671591795 3790030240 4357327760 4413551344 4500660910 5516939180 5874546872 6753858028 7109324240 7201057456 7343183590 8442322535 8551255729 8714655520 8827102688 9001321820 11033878360 11749093744 13507716056 13952048821 14218648480 14402114912 14686367180 16884645070 17102511458 18002643640 22067756720 23498187488 27015432112 27904097642 29372734360 33769290140 34205022916 36005287280 42756278645 44135513440 54030864224 55808195284 58745468720 67538580280 68410045832 69760244105 72010574560 85512557290 111616390568 117490937440 135077160560 136820091664 139520488210 171025114580 223232781136 265088927599 270154321120 273640183328 279040976420 342050229160 446465562272 530177855198 558081952840 684100458320 1060355710396 1116163905680 1325444637995 1368200916640 2120711420792 2232327811360 2650889275990 4241422841584 5301778551980 8482845683168 10603557103960 21207114207920 42414228415840
- Sum of all divisors σ(n): 109980596928384
- Sum of proper divisors (its aliquot sum) s(n): 67566368512544
- 42414228415840 is an abundant number, because the sum of its proper divisors (67566368512544) is greater than itself. Its abundance is 25152140096704
Bases of 42414228415840
- Binary: 10011010010011010101010000010010100101011000002
- Hexadecimal: 0x26935504A560
- Base-36: F18TSHUN4
Squares and roots of 42414228415840
- 42414228415840 squared (424142284158402) is 1798966772111049315962905600
- 42414228415840 cubed (424142284158403) is 76301787584824429521153465210891464704000
-
The
square root of 42414228415840 is 6512620.7025927743 -
The
cube root of 42414228415840 is 34874.1681289641
Scales and comparisons
How big is 42414228415840?- 42,414,228,415,840 seconds is equal to 1,348,641 years, 13 weeks, 6 days, 11 hours, 30 minutes, 40 seconds.
-
To count from 1 to 42,414,228,415,840 would take you about three million, three hundred seventy-one thousand, six hundred three 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 42414228415840 cubic inches would be around 2906.2 feet tall.
Recreational maths with 42414228415840
- 42414228415840 backwards is 04851482241424
- The number of decimal digits it has is: 14
- The sum of 42414228415840's digits is 49
- More coming soon!
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