242428810107120
242,428,810,107,120 is an even composite number composed of nine prime numbers multiplied together.
242428810107120 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 242428810107120:
24 × 3 × 5 × 73 × 13 × 67 × 79 × 127 × 337
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 67 × 79 × 127 × 337)See below for interesting mathematical facts about the number 242428810107120 from the Numbermatics database.
Names of 242428810107120
- Cardinal: 242428810107120 can be written as Two hundred forty-two trillion, four hundred twenty-eight billion, eight hundred ten million, one hundred seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.4242881010712 × 1014
Factors of 242428810107120
Divisors of 242428810107120
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 49 52 56 60 65 67 70 78 79 80 84 91 98 104 105 112 120 127 130 134 140 147 156 158 168 182 195 196 201 208 210 237 240 245 254 260 268 273 280 294 312 316 335 336 337 343 364 381 390 392 395 402 420 455 469 474 490 508 520 536 546 553 560 588 624 632 635 637 670 674 686 728 735 762 780 784 790 804 840 871 889 910 938 948 980 1005 1011 1016 1027 1029 1040 1072 1092 1106 1176 1185 1264 1270 1274 1340 1348 1365 1372 1407 1456 1470 1524 1560 1580 1608 1651 1659 1680 1685 1715 1742 1778 1820 1876 1896 1905 1911 1960 2010 2022 2032 2054 2058 2184 2212 2345 2352 2359 2370 2540 2548 2613 2667 2680 2696 2730 2744 2765 2814 2940 3048 3081 3120 3160 3185 3216 3283 3302 3318 3370 3430 3484 3556 3640 3752 3792 3810 3822 3871 3920 4020 4044 4108 4116 4355 4368 4381 4424 4445 4459 4690 4718 4740 4953 5055 5080 5096 5135 5145 5226 5293 5334 5360 5392 5460 5488 5530 5628 5880 6096 6097 6162 6223 6320 6370 6566 6604 6636 6740 6860 6968 7035 7077 7112 7189 7280 7504 7620 7644 7742 8040 8088 8216 8232 8255 8295 8509 8710 8762 8848 8890 8918 9380 9436 9480 9555 9849 9906 10033 10110 10160 10192 10270 10290 10452 10586 10668 10920 11060 11256 11557 11613 11760 11795 12194 12324 12446 12740 13065 13132 13143 13208 13272 13335 13377 13480 13720 13936 14070 14154 14224 14378 15240 15288 15405 15484 15879 16080 16176 16415 16432 16464 16510 16513 16590 17018 17420 17524 17780 17836 18291 18669 18760 18872 18960 19110 19355 19698 19812 20066 20220 20540 20580 20904 21172 21336 21567 21840 21905 22120 22295 22512 22579 22981 23114 23226 23590 24388 24648 24765 24892 25480 25527 26130 26264 26286 26416 26465 26544 26623 26670 26754 26960 27097 27440 28140 28308 28756 30099 30480 30485 30576 30667 30810 30968 31115 31758 32830 33020 33026 33180 34036 34671 34840 35048 35385 35560 35672 35945 36582 37051 37338 37520 37744 38220 38710 39396 39624 40132 40440 41080 41160 41808 42344 42545 42672 42679 42799 43134 43561 43810 44240 44590 45158 45962 46228 46452 47180 48776 49245 49296 49530 49539 49784 50165 50323 50960 51054 52260 52528 52572 52930 53246 53340 53508 54194 56280 56616 57512 57785 58065 59563 60198 60970 61334 61620 61936 62230 63516 65660 65715 66040 66052 66360 66885 67737 68072 68809 68943 69342 69680 70096 70231 70770 71120 71344 71890 73164 74102 74676 76440 77420 78792 79248 79395 79869 80264 80880 80899 81291 82160 82320 82565 84688 85090 85358 85598 86268 87122 87620 89180 90316 91455 91924 92001 92456 92904 93345 94360 97552 98490 99060 99078 99568 100330 100646 102108 104520 105144 105860 106492 106680 107016 107835 108388 110617 111153 112560 112895 113232 114905 115024 115570 115591 116130 119126 120396 121940 122668 123240 124460 127032 127635 128037 128397 130429 130683 131320 131430 132080 132104 132720 133115 133770 135474 135485 136144 137618 137886 138684 140462 141540 143780 146328 148204 149352 150495 150969 152880 153335 154840 157584 158053 158790 159738 160528 161798 162582 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79537011190 82458778948 86150963080 87677689008 88348691730 88801761944 89921665470 90458511234 90899441360 92777960240 95144744940 95444413428 102290637176 102767617680 103073473685 103381155696 109597111260 111002202430 117798255640 118027658280 119305516785 119895553960 120611348312 123688168422 126859659920 127259217904 127863296470 129226444620 133202642916 136349162040 139166940360 141357906768 143874664752 144302863159 146129481680 146837559120 150764185390 153435955764 155403083402 159074022380 164917557896 166503303645 172301926160 176697383460 177603523888 179843330940 180917022468 190289489880 190888826856 191794944705 204581274352 206146947370 219194222520 222004404860 226146278085 233104625103 235596511280 236055316560 238611033570 239791107920 241222696624 247376336844 255726592940 258452889240 266405285832 272698324080 278333880720 288605726318 301528370780 306871911528 309220421055 310806166804 318148044760 329835115792 333006607290 353394766920 359686661880 361834044936 380578979760 381777653712 383589889410 388507708505 412293894740 432908589477 438388445040 444008809720 452292556170 466209250206 477222067140 494752673688 511453185880 516905778480 532810571664 577211452636 603056741560 613743823056 618440842110 621612333608 636296089520 666013214580 706789533840 719373323760 721514315795 723668089872 767179778820 777015417010 824587789480 865817178954 888017619440 904585112340 932418500412 954444134280 989505347376 1010120042113 1022906371760 1154422905272 1165523125515 1206113483120 1236881684220 1243224667216 1332026429160 1443028631590 1534359557640 1554030834020 1649175578960 1731634357908 1809170224680 1864837000824 1908888268560 2020240084226 2164542947385 2308845810544 2331046251030 2473763368440 2664052858320 2886057263180 3030360126339 3068719115280 3108061668040 3463268715816 3618340449360 3729674001648 4040480168452 4329085894770 4662092502060 4947526736880 5050600210565 5772114526360 6060720252678 6216123336080 6926537431632 8080960336904 8658171789540 9324185004120 10101200421130 11544229052720 12121440505356 15151800631695 16161920673808 17316343579080 18648370008240 20202400842260 24242881010712 30303601263390 34632687158160 40404801684520 48485762021424 60607202526780 80809603369040 121214405053560 242428810107120
- Sum of all divisors σ(n): 980587905024000
- Sum of proper divisors (its aliquot sum) s(n): 738159094916880
- 242428810107120 is an abundant number, because the sum of its proper divisors (738159094916880) is greater than itself. Its abundance is 495730284809760
Bases of 242428810107120
- Binary: 1101110001111100110110110001110000011000111100002
- Hexadecimal: 0xDC7CDB1C18F0
- Base-36: 2DXM9A7LYO
Squares and roots of 242428810107120
- 242428810107120 squared (2424288101071202) is 58771727969954048265874694400
- 242428810107120 cubed (2424288101071203) is 14247960079695303175920043422746161264128000
-
The
square root of 242428810107120 is 15570125.5649118001 -
The
cube root of 242428810107120 is 62353.5823871173
Scales and comparisons
How big is 242428810107120?- 242,428,810,107,120 seconds is equal to 7,708,486 years, 14 weeks, 3 days, 20 hours, 52 minutes.
-
To count from 1 to 242,428,810,107,120 would take you about nineteen million, two hundred seventy-one thousand, two hundred fifteen 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 242428810107120 cubic inches would be around 5196.1 feet tall.
Recreational maths with 242428810107120
- 242428810107120 backwards is 021701018824242
- 242428810107120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242428810107120's digits is 42
- More coming soon!
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"Number 242428810107120 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 242428810107120 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/242428810107120/
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The information we have on file for 242428810107120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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