442742019092337902112
442,742,019,092,337,902,112 is an even composite number composed of five prime numbers multiplied together.
What does the number 442742019092337902112 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
442742019092337902112 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 442742019092337902112:
25 × 36 × 72 × 174 × 680992
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 17 × 17 × 17 × 68099 × 68099)See below for interesting mathematical facts about the number 442742019092337902112 from the Numbermatics database.
Names of 442742019092337902112
- Cardinal: 442742019092337902112 can be written as Four hundred forty-two quintillion, seven hundred forty-two quadrillion, nineteen trillion, ninety-two billion, three hundred thirty-seven million, nine hundred two thousand, one hundred twelve.
Scientific notation
- Scientific notation: 4.42742019092337902112 × 1020
Factors of 442742019092337902112
Divisors of 442742019092337902112
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 68 72 81 84 96 98 102 108 112 119 126 136 144 147 153 162 168 189 196 204 216 224 238 243 252 272 288 289 294 306 324 336 357 378 392 408 432 441 459 476 486 504 544 567 578 588 612 648 672 714 729 756 784 816 833 864 867 882 918 952 972 1008 1071 1134 1156 1176 1224 1296 1323 1377 1428 1458 1512 1568 1632 1666 1701 1734 1764 1836 1904 1944 2016 2023 2142 2268 2312 2352 2448 2499 2592 2601 2646 2754 2856 2916 3024 3213 3332 3402 3468 3528 3672 3808 3888 3969 4046 4131 4284 4536 4624 4704 4896 4913 4998 5103 5202 5292 5508 5712 5832 6048 6069 6426 6664 6804 6936 7056 7344 7497 7776 7803 7938 8092 8262 8568 9072 9248 9639 9826 9996 10206 10404 10584 11016 11424 11664 11907 12138 12393 12852 13328 13608 13872 14112 14161 14688 14739 14994 15606 15876 16184 16524 17136 18144 18207 19278 19652 19992 20412 20808 21168 22032 22491 23328 23409 23814 24276 24786 25704 26656 27216 27744 28322 28917 29478 29988 31212 31752 32368 33048 34272 34391 35721 36414 38556 39304 39984 40824 41616 42336 42483 44064 44217 44982 46818 47628 48552 49572 51408 54432 54621 56644 57834 58956 59976 62424 63504 64736 66096 67473 68099 68782 70227 71442 72828 77112 78608 79968 81648 83232 83521 84966 86751 88434 89964 93636 95256 97104 99144 102816 103173 109242 113288 115668 117912 119952 124848 127008 127449 132192 132651 134946 136198 137564 140454 142884 145656 154224 157216 163296 163863 167042 169932 173502 176868 179928 187272 190512 194208 198288 202419 204297 206346 210681 218484 226576 231336 235824 239904 240737 249696 250563 254898 265302 269892 272396 275128 280908 285768 291312 308448 309519 327726 334084 339864 347004 353736 359856 374544 381024 382347 396576 397953 404838 408594 412692 421362 436968 453152 462672 471648 476693 481474 491589 501126 509796 530604 539784 544792 550256 561816 571536 582624 584647 607257 612891 619038 655452 668168 679728 694008 707472 719712 722211 749088 751689 764694 795906 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132875756030113416 137797080327525024 146409397847995338 151831968138661832 155021715368465652 160763260382112528 167325026111994672 170219922757530912 170810964155994561 177167674706817888 180858667929876594 188240654375994006 191497413102222276 195212530463993784 206695620491287536 218854186402539744 219614096771993007 227747952207992748 232532573052698478 241144890573168792 250987539167992008 255329884136296368 260283373951991712 265751512060226832 271288001894814891 282360981563991009 292818795695990676 303663936277323664 310043430736931304 321526520764225056 334650052223989344 341621928311989122 361717335859753188 376481308751988012 382994826204444552 390425060927987568 413391240982575072 439228193543986014 455495904415985496 465065146105396956 482289781146337584 501975078335984016 510659768272592736 512432892467983683 531503024120453664 542576003789629782 564721963127982018 585637591391981352 607327872554647328 620086861473862608 658842290315979021 683243856623978244 723434671719506376 752962617503976024 765989652408889104 780850121855975136 813864005684444673 878456387087972028 910991808831970992 930130292210793912 964579562292675168 1003950156671968032 1024865784935967366 1085152007579259564 1129443926255964036 1171275182783962704 1240173722947725216 1317684580631958042 1366487713247956488 1446869343439012752 1505925235007952048 1531979304817778208 1537298677403951049 1627728011368889346 1756912774175944056 1821983617663941984 1860260584421587824 1976526870947937063 2049731569871934732 2170304015158519128 2258887852511928072 2342550365567925408 2635369161263916084 2732975426495912976 2893738686878025504 3011850470015904096 3074597354807902098 3255456022737778692 3513825548351888112 3720521168843175648 3953053741895874126 4099463139743869464 4340608030317038256 4517775705023856144 4611896032211853147 5270738322527832168 5465950852991825952 6149194709615804196 6510912045475557384 7027651096703776224 7906107483791748252 8198926279487738928 8681216060634076512 9035551410047712288 9223792064423706294 10541476645055664336 12298389419231608392 13021824090951114768 13835688096635559441 15812214967583496504 16397852558975477856 18447584128847412588 21082953290111328672 24596778838463216784 26043648181902229536 27671376193271118882 31624429935166993008 36895168257694825176 49193557676926433568 55342752386542237764 63248859870333986016 73790336515389650352 110685504773084475528 147580673030779300704 221371009546168951056 442742019092337902112
- Sum of all divisors σ(n): 1615279688424899969283
- Sum of proper divisors (its aliquot sum) s(n): 1172537669332562067171
- 442742019092337902112 is an abundant number, because the sum of its proper divisors (1172537669332562067171) is greater than itself. Its abundance is 729795650240224165059
Bases of 442742019092337902112
- Binary: 1100000000000010001111010000010011101111000100000001111000010001000002
- Hexadecimal: 0x180047A09DE203C220
- Base-36: 2LFQV7AS5J0I00
Squares and roots of 442742019092337902112
- 442742019092337902112 squared (4427420190923379021122) is 196020495469960099431108776422445294060544
- 442742019092337902112 cubed (4427420190923379021123) is 86786509947850609594220766179708535494333805920973566873468928
-
The
square root of 442742019092337902112 is 21041435765.9437751143 -
The
cube root of 442742019092337902112 is 7621671.8631443473
Scales and comparisons
How big is 442742019092337902112?- 442,742,019,092,337,902,112 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 442,742,019,092,337,902,112 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 442742019092337902112 cubic inches would be around 635139.3 feet tall.
Recreational maths with 442742019092337902112
- 442742019092337902112 backwards is 211209733290910247244
- 442742019092337902112 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 442742019092337902112's digits is 72
- More coming soon!
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"Number 442742019092337902112 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 442742019092337902112 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/442742019092337902112/
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Numbermatics. 2024. "Number 442742019092337902112 - Facts about the integer". https://numbermatics.com/n/442742019092337902112/
The information we have on file for 442742019092337902112 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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