442134830817792
442,134,830,817,792 is an even composite number composed of six prime numbers multiplied together.
What does the number 442134830817792 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2430 divisors.
442134830817792 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 442134830817792:
29 × 32 × 72 × 172 × 192 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 17 × 19 × 19 × 137 × 137)See below for interesting mathematical facts about the number 442134830817792 from the Numbermatics database.
Names of 442134830817792
- Cardinal: 442134830817792 can be written as Four hundred forty-two trillion, one hundred thirty-four billion, eight hundred thirty million, eight hundred seventeen thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 4.42134830817792 × 1014
Factors of 442134830817792
Divisors of 442134830817792
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 28 32 34 36 38 42 48 49 51 56 57 63 64 68 72 76 84 96 98 102 112 114 119 126 128 133 136 137 144 147 152 153 168 171 192 196 204 224 228 238 252 256 266 272 274 288 289 294 304 306 323 336 342 357 361 384 392 399 408 411 441 448 456 476 504 512 532 544 548 576 578 588 608 612 646 672 684 714 722 768 784 798 816 822 833 867 882 896 912 931 952 959 969 1008 1064 1071 1083 1088 1096 1152 1156 1176 1197 1216 1224 1233 1292 1344 1368 1428 1444 1536 1568 1596 1632 1644 1666 1734 1764 1792 1824 1862 1904 1918 1938 2016 2023 2128 2142 2166 2176 2192 2261 2304 2312 2329 2352 2394 2432 2448 2466 2499 2527 2584 2601 2603 2688 2736 2793 2856 2877 2888 2907 3136 3192 3249 3264 3288 3332 3468 3528 3584 3648 3724 3808 3836 3876 4032 4046 4256 4284 4332 4352 4384 4522 4608 4624 4658 4704 4788 4864 4896 4932 4998 5054 5168 5202 5206 5376 5472 5491 5586 5712 5754 5776 5814 6069 6137 6272 6384 6498 6528 6576 6664 6713 6783 6936 6987 7056 7296 7448 7497 7581 7616 7672 7752 7809 8064 8092 8379 8512 8568 8631 8664 8704 8768 9044 9248 9316 9408 9576 9728 9792 9864 9996 10108 10336 10404 10412 10752 10944 10982 11172 11424 11508 11552 11628 12138 12274 12544 12768 12996 13056 13152 13328 13426 13566 13872 13974 14112 14161 14592 14896 14994 15162 15232 15344 15504 15618 15827 16128 16184 16303 16473 16758 17024 17136 17262 17328 17536 17689 18088 18207 18221 18411 18496 18632 18769 18816 19152 19584 19728 19992 20139 20216 20349 20672 20808 20824 20961 21888 21964 22344 22743 22848 23016 23104 23256 23427 24276 24548 25088 25536 25992 26112 26304 26656 26852 27132 27744 27948 28224 28322 29184 29792 29988 30324 30464 30688 31008 31236 31654 32256 32368 32606 32946 33516 34048 34272 34524 34656 35072 35378 36176 36414 36442 36822 36992 37264 37538 37632 38304 38437 39168 39456 39593 39984 40278 40432 40698 41344 41616 41648 41922 42483 42959 43776 43928 44251 44688 45486 45696 46032 46208 46512 46854 47481 48552 48909 49096 49419 49457 51072 51984 52608 53067 53312 53704 54264 54663 55233 55488 55896 56307 56448 56644 59584 59976 60417 60648 60928 61376 62016 62472 63308 64736 65212 65892 67032 68096 68544 69048 69312 70144 70756 72352 72828 72884 73644 73984 74528 75076 75264 76608 76874 78336 78912 79186 79968 80556 80864 81396 82688 83232 83296 83844 84966 85918 87552 87856 88502 89376 90972 91392 92064 92416 93024 93708 94962 97104 97818 98192 98838 98914 102144 103968 104329 105216 106134 106624 107408 108528 109326 110466 110976 111792 112614 112896 113288 114121 115311 118779 119168 119952 120834 121296 122752 124032 124944 126616 127449 127547 128877 129472 130424 131383 131784 132753 134064 137088 138096 138624 141512 142443 144704 145656 145768 146727 147288 147968 148371 149056 150152 153216 153748 157824 158372 159201 159936 161112 161728 162792 163989 165376 166464 166592 167688 168921 169932 171836 175712 177004 178752 181944 182784 184128 184832 186048 187416 189924 194208 195636 196384 197676 197828 204288 207936 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484796963616 493454052252 501286656256 509959435776 530774106624 537876923136 541831900512 554053672704 563947488288 575696394294 612375111936 619236457728 646395951488 657938736336 684419242752 722442534016 727195445424 751929984384 764939153664 767595192392 806815384704 812747850768 831080509056 863544591441 877251648448 928854686592 969593927232 986908104504 1002573312512 1075753846272 1083663801024 1108107345408 1127894976576 1151392788588 1224750223872 1238472915456 1292791902976 1315877472672 1368838485504 1444885068032 1454390890848 1503859968768 1529878307328 1535190384784 1613630769408 1625495701536 1662161018112 1727089182882 1754503296896 1857709373184 1939187854464 1973816209008 2167327602048 2255789953152 2302785577176 2585583805952 2631754945344 2889770136064 2908781781696 3007719937536 3070380769568 3227261538816 3250991403072 3324322036224 3454178365764 3509006593792 3715418746368 3878375708928 3947632418016 4334655204096 4511579906304 4605571154352 5263509890688 5817563563392 6140761539136 6501982806144 6908356731528 7018013187584 7756751417856 7895264836032 8669310408192 9023159812608 9211142308704 10527019781376 11635127126784 12281523078272 13003965612288 13816713463056 15790529672064 18422284617408 21054039562752 23270254253568 24563046156544 26007931224576 27633426926112 31581059344128 36844569234816 49126092313088 55266853852224 63162118688256 73689138469632 110533707704448 147378276939264 221067415408896 442134830817792
- Sum of all divisors σ(n): 1676408356589967
- Sum of proper divisors (its aliquot sum) s(n): 1234273525772175
- 442134830817792 is an abundant number, because the sum of its proper divisors (1234273525772175) is greater than itself. Its abundance is 792138694954383
Bases of 442134830817792
- Binary: 11001001000011110100010011000100010100010000000002
- Hexadecimal: 0x1921E8988A200
- Base-36: 4CQ1XQOOW0
Squares and roots of 442134830817792
- 442134830817792 squared (4421348308177922) is 195483208622277554459503755264
- 442134830817792 cubed (4421348308177923) is 86429935371929824899398040534556740144857088
-
The
square root of 442134830817792 is 21027002.4211201345 -
The
cube root of 442134830817792 is 76181.8608078521
Scales and comparisons
How big is 442134830817792?- 442,134,830,817,792 seconds is equal to 14,058,520 years, 2 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 442,134,830,817,792 would take you about thirty-five million, one hundred forty-six thousand, three hundred 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 442134830817792 cubic inches would be around 6348.5 feet tall.
Recreational maths with 442134830817792
- 442134830817792 backwards is 297718038431244
- 442134830817792 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442134830817792's digits is 63
- More coming soon!
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"Number 442134830817792 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 442134830817792 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/442134830817792/
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The information we have on file for 442134830817792 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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