42252312095136
42,252,312,095,136 is an even composite number composed of seven prime numbers multiplied together.
42252312095136 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42252312095136:
25 × 35 × 11 × 13 × 192 × 67 × 1571
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 19 × 19 × 67 × 1571)See below for interesting mathematical facts about the number 42252312095136 from the Numbermatics database.
Names of 42252312095136
- Cardinal: 42252312095136 can be written as Forty-two trillion, two hundred fifty-two billion, three hundred twelve million, ninety-five thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 4.2252312095136 × 1013
Factors of 42252312095136
Divisors of 42252312095136
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 32 33 36 38 39 44 48 52 54 57 66 67 72 76 78 81 88 96 99 104 108 114 117 132 134 143 144 152 156 162 171 176 198 201 208 209 216 228 234 243 247 264 268 286 288 297 304 312 324 342 351 352 361 396 402 416 418 429 432 456 468 486 494 513 528 536 572 594 603 608 624 627 648 684 702 722 737 741 792 804 836 858 864 871 891 912 936 972 988 1026 1053 1056 1072 1083 1144 1188 1206 1248 1254 1273 1287 1296 1368 1404 1444 1474 1482 1539 1571 1584 1608 1672 1716 1742 1782 1809 1824 1872 1881 1944 1976 2052 2106 2144 2166 2211 2223 2288 2376 2412 2508 2546 2574 2592 2613 2673 2717 2736 2808 2888 2948 2964 3078 3142 3159 3168 3216 3249 3344 3432 3484 3564 3618 3744 3762 3819 3861 3888 3952 3971 4104 4212 4332 4422 4446 4576 4617 4693 4713 4752 4824 5016 5092 5148 5226 5346 5427 5434 5472 5616 5643 5776 5896 5928 6156 6284 6318 6432 6498 6633 6669 6688 6864 6968 7128 7236 7524 7638 7722 7776 7839 7904 7942 8151 8208 8424 8664 8844 8892 9234 9386 9426 9504 9581 9648 9747 10032 10184 10296 10452 10692 10854 10868 11232 11286 11457 11552 11583 11792 11856 11913 12312 12568 12636 12996 13266 13338 13728 13936 14003 14079 14139 14256 14472 15048 15276 15444 15678 15884 16281 16302 16416 16549 16848 16929 17281 17328 17688 17784 18468 18772 18852 19162 19296 19494 19899 20007 20064 20368 20423 20592 20904 21384 21708 21736 22572 22914 23166 23517 23584 23712 23826 24187 24453 24624 25136 25272 25992 26532 26676 27872 28006 28158 28278 28512 28743 28944 29241 29849 30096 30552 30888 31356 31768 32562 32604 33098 33696 33858 34371 34562 34656 34749 35376 35568 35739 36936 37544 37704 38324 38988 39798 40014 40736 40846 41184 41808 42009 42237 42417 42768 43416 43472 45144 45828 46332 47034 47652 48374 48906 49248 49647 50272 50544 50787 51623 51843 51984 53064 53352 56012 56316 56556 57486 57888 58482 59697 59698 60021 60192 61104 61269 61776 62712 63536 65124 65208 66196 67716 68742 69124 69498 70551 70752 71136 71478 72561 73359 73872 75088 75408 76648 77976 79596 80028 81692 83616 84018 84474 84834 85536 86229 86832 86944 87723 89547 90288 91656 92664 94068 95304 96748 97812 99294 101088 101574 103113 103246 103686 103968 105257 106128 106704 107217 112024 112632 113112 114972 116964 119394 119396 120042 122208 122538 123552 125424 126027 126711 127072 127251 130248 130416 132392 135432 137484 138248 138996 141102 142956 145122 146718 147744 148941 150176 150816 153296 154869 155529 155952 159192 160056 163384 168036 168948 169668 172458 173664 175446 179091 179094 180576 182039 183312 183807 185328 188136 190608 193496 195624 198588 203148 206226 206492 207372 210514 211653 212256 213408 214434 217683 220077 224048 224653 225264 226224 229944 233928 238788 238792 240084 245076 250848 252054 253422 254502 258687 260496 260832 264784 266057 268641 270864 274968 276496 277992 282204 285912 290244 293436 297882 306592 309339 309738 311058 311904 314431 315771 318384 320112 321651 326768 328339 336072 337896 339336 344916 350892 358182 358188 364078 366624 367614 370656 376272 378081 380133 381216 381753 386992 388037 391248 397176 406296 412452 412984 414744 421028 423306 428868 435366 440154 446823 448096 449306 450528 452448 459888 464607 466587 467856 477576 477584 480168 490152 504108 506844 509004 517374 520992 529568 532114 537282 541728 546117 549936 551421 552992 555984 564408 567131 571824 580488 586872 595764 618678 619476 622116 628862 631542 636768 640224 643302 653049 653536 656678 660231 672144 673959 675792 678672 689832 701784 716364 716376 728156 735228 752544 756162 760266 763506 773984 776061 776074 782496 794352 798171 805923 812592 824904 825968 829488 842056 846612 857736 870732 880308 893646 898612 919776 929214 933174 935712 943293 947313 955152 955168 960336 964953 980304 985017 1008216 1013688 1018008 1034748 1064228 1074564 1092234 1099872 1102842 1111968 1128816 1134243 1134262 1140399 1143648 1157827 1160976 1164111 1173744 1191528 1237356 1238952 1244232 1257724 1263084 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2123338464 2167452144 2189692791 2205005328 2241264168 2250815688 2287866152 2375861004 2388755772 2438383662 2445015456 2495853984 2507853282 2553164064 2573849421 2591848368 2595191456 2660054904 2695006512 2735839944 2765927736 2807835732 2919590388 2963826606 2988352224 3001087584 3017375712 3031882326 3077819937 3167814672 3185007696 3251178216 3343804376 3361896252 3431799228 3546739872 3563791506 3583133658 3647786592 3657575493 3687903648 3743780976 3761779923 3887772552 3892787184 3951768808 4042509768 4103759916 4148891604 4211753598 4334904288 4379385582 4410010656 4445739909 4482528336 4501631376 4575732304 4751722008 4777511544 4876767324 5015706564 5147698842 5183696736 5320109808 5345687259 5390013024 5433682111 5471679888 5531855472 5615671464 5839180776 5927653212 6063764652 6155639874 6317630397 6335629344 6370015392 6502356432 6569078373 6687608752 6723792504 6863598456 7127583012 7166267316 7315150986 7487561952 7523559846 7721548263 7775545104 7785574368 7903537616 8085019536 8207519832 8297783208 8423507196 8758771164 8891479818 8965056672 9003262752 9151464608 9233459811 9503444016 9555023088 9753534648 10031413128 10295397684 10640219616 10691374518 10867364222 10943359776 11063710944 11231342928 11285339769 11678361552 11855306424 12127529304 12311279748 12635260794 13004712864 13138156746 13337219727 13375217504 13447585008 13727196912 14255166024 14332534632 14630301972 15047119692 15443096526 15551090208 15807075232 16170039072 16301046333 16415039664 16595566416 16847014392 17517542328 17782959636 18466919622 19006888032 19110046176 19507069296 19707235119 20062826256 20590795368 21382749036 21734728444 22462685856 22570679538 23164644789 23356723104 23710612848 24255058608 24622559496 25270521588 26276313492 26674439454 26895170016 27454393824 28510332048 28665069264 29260603944 30094239384 30886193052 32602092666 32830079328 33191132832 33694028784 33856019307 35035084656 35565919272 36933839244 39014138592 39414470238 40011659181 40125652512 41181590736 42765498072 43469456888 45141359076 46329289578 47421225696 48510117216 48903138999 49245118992 50541043176 52552626984 53348878908 57020664096 57330138528 58521207888 60188478768 61772386104 65204185332 67388057568 67712038614 69493934367 70070169312 71131838544 73867678488 78828940476 80023318362 82363181472 85530996144 86938913776 90282718152 92658579156 97806277998 98490237984 101082086352 101568057921 105105253968 106697757816 117042415776 120034977543 120376957536 123544772208 130408370664 135424077228 138987868734 142263677088 146709416997 147735356976 157657880952 160046636724 171061992288 173877827552 180565436304 185317158312 195612555996 202164172704 203136115842 210210507936 213395515632 240069955086 247089544416 260816741328 270848154456 277975737468 293418833994 295470713952 315315761904 320093273448 361130872608 370634316624 391225111992 406272231684 426791031264 440128250991 480139910172 521633482656 541696308912 555951474936 586837667988 630631523808 640186546896 741268633248 782450223984 812544463368 880256501982 960279820344 1083392617824 1111902949872 1173675335976 1280373093792 1320384752973 1564900447968 1625088926736 1760513003964 1920559640688 2223805899744 2347350671952 2640769505946 3250177853472 3521026007928 3841119281376 4694701343904 5281539011892 7042052015856 10563078023784 14084104031712 21126156047568 42252312095136
- Sum of all divisors σ(n): 156905311320576
- Sum of proper divisors (its aliquot sum) s(n): 114652999225440
- 42252312095136 is an abundant number, because the sum of its proper divisors (114652999225440) is greater than itself. Its abundance is 72400687130304
Bases of 42252312095136
- Binary: 10011001101101101000100000110110101001101000002
- Hexadecimal: 0x266DA20DA9A0
- Base-36: EZ6FZP600
Squares and roots of 42252312095136
- 42252312095136 squared (422523120951362) is 1785257877384775917914858496
- 42252312095136 cubed (422523120951363) is 75431273005561589556703032335590729875456
-
The
square root of 42252312095136 is 6500177.8510388467 -
The
cube root of 42252312095136 is 34829.7341587119
Scales and comparisons
How big is 42252312095136?- 42,252,312,095,136 seconds is equal to 1,343,492 years, 43 weeks, 23 hours, 45 minutes, 36 seconds.
-
To count from 1 to 42,252,312,095,136 would take you about three million, three hundred fifty-eight thousand, seven hundred thirty-two 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 42252312095136 cubic inches would be around 2902.5 feet tall.
Recreational maths with 42252312095136
- 42252312095136 backwards is 63159021325224
- The number of decimal digits it has is: 14
- The sum of 42252312095136's digits is 45
- More coming soon!
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"Number 42252312095136 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 42252312095136 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/42252312095136/
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The information we have on file for 42252312095136 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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