42193812856832
42,193,812,856,832 is an even composite number composed of six prime numbers multiplied together.
What does the number 42193812856832 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
42193812856832 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42193812856832:
213 × 72 × 13 × 41 × 53 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 41 × 53 × 61 × 61)See below for interesting mathematical facts about the number 42193812856832 from the Numbermatics database.
Names of 42193812856832
- Cardinal: 42193812856832 can be written as Forty-two trillion, one hundred ninety-three billion, eight hundred twelve million, eight hundred fifty-six thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 4.2193812856832 × 1013
Factors of 42193812856832
Divisors of 42193812856832
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 41 49 52 53 56 61 64 82 91 98 104 106 112 122 128 164 182 196 208 212 224 244 256 287 328 364 371 392 416 424 427 448 488 512 533 574 637 656 689 728 742 784 793 832 848 854 896 976 1024 1066 1148 1274 1312 1378 1456 1484 1568 1586 1664 1696 1708 1792 1952 2009 2048 2132 2173 2296 2501 2548 2597 2624 2756 2912 2968 2989 3136 3172 3233 3328 3392 3416 3584 3721 3731 3904 4018 4096 4264 4346 4592 4823 5002 5096 5194 5248 5512 5551 5824 5936 5978 6272 6344 6466 6656 6784 6832 7168 7442 7462 7808 8036 8192 8528 8692 9184 9646 10004 10192 10388 10496 11024 11102 11648 11872 11956 12544 12688 12932 13312 13568 13664 14336 14884 14924 15211 15616 16072 17056 17384 17507 18368 19292 20008 20384 20776 20992 22048 22204 22631 23296 23744 23912 25088 25376 25864 26047 26117 26624 27136 27328 28249 28672 29768 29848 30422 31232 32144 32513 33761 34112 34768 35014 36736 38584 38857 40016 40768 41552 41984 42029 44096 44408 45262 46592 47488 47824 48373 50176 50752 51728 52094 52234 53248 54272 54656 56498 57344 59536 59696 60844 62464 64288 65026 67522 68224 69536 70028 73472 77168 77714 80032 81536 83104 83968 84058 88192 88816 90524 93184 94976 95648 96746 100352 101504 103456 104188 104468 106477 106496 108544 109312 112996 119072 119392 121688 122549 124928 128576 130052 132553 135044 136448 139072 140056 146944 152561 154336 155428 158417 160064 163072 166208 167936 168116 176384 177632 181048 182329 186368 189952 191296 193492 197213 197743 200704 203008 206912 208376 208936 212954 217088 218624 225992 227591 238144 238784 243376 245098 249856 257152 260104 265106 270088 272896 278144 280112 293888 294203 305122 308672 310856 316834 320128 326144 332416 335872 336232 338611 352768 355264 362096 364658 372736 379904 382592 386984 394426 395486 401408 406016 413824 416752 417872 425908 434176 437248 451984 455182 476288 477568 486752 490196 499712 514304 520208 530212 540176 545792 556288 560224 587776 588406 610244 617344 621712 633668 640256 652288 664832 672464 677222 705536 710528 724192 729316 745472 759808 765184 773968 788852 790972 812032 827648 833504 835744 851816 874496 903968 910364 927871 952576 955136 973504 980392 1028608 1040416 1060424 1067927 1080352 1091584 1112576 1120448 1175552 1176812 1220488 1234688 1243424 1267336 1280512 1304576 1329664 1344928 1354444 1380491 1384201 1411072 1421056 1448384 1458632 1519616 1530368 1547936 1577704 1581944 1593137 1624064 1655296 1667008 1671488 1703632 1723189 1748992 1807936 1820728 1855742 1905152 1910272 1947008 1960784 1983293 2057216 2059421 2080832 2120848 2135854 2160704 2183168 2225152 2240896 2351104 2353624 2370277 2440976 2469376 2486848 2534672 2561024 2563769 2609152 2659328 2689856 2708888 2760982 2768402 2822144 2842112 2896768 2917264 3039232 3060736 3095872 3155408 3163888 3186274 3248128 3310592 3334016 3342976 3407264 3446378 3497984 3615872 3641456 3711484 3810304 3820544 3894016 3921568 3966586 4114432 4118842 4161664 4241696 4271708 4321408 4366336 4450304 4481792 4707248 4740554 4881952 4938752 4973696 5069344 5122048 5127538 5218304 5318656 5379712 5417776 5521964 5536804 5644288 5684224 5793536 5834528 6121472 6191744 6310816 6327776 6372548 6495097 6496256 6621184 6668032 6685952 6814528 6892756 7231744 7282912 7422968 7475489 7620608 7641088 7788032 7843136 7933172 8085733 8228864 8237684 8323328 8483392 8543416 8642816 8900608 8963584 9414496 9481108 9663437 9763904 9877504 9947392 10138688 10244096 10255076 10637312 10759424 10835552 11043928 11073608 11368448 11587072 11669056 12062323 12242944 12383488 12621632 12655552 12745096 12990194 13242368 13336064 13371904 13629056 13785512 13883051 14463488 14565824 14845936 14950978 15241216 15282176 15576064 15686272 15866344 16171466 16457728 16475368 16646656 16966784 17086832 17285632 17801216 17927168 17946383 18828992 18962216 19326874 19527808 19755008 19894784 20277376 20488192 20510152 21274624 21518848 21671104 22087856 22147216 22736896 23174144 23338112 24124646 24485888 24766976 25243264 25311104 25490192 25980388 26484736 26672128 26743808 27258112 27571024 27766102 28926976 29131648 29691872 29901956 30482432 30564352 31152128 31372544 31732688 32342932 32950736 33293312 33933568 34173664 34571264 35854336 35892766 37657984 37924432 38653748 39055616 39510016 39789568 40554752 41020304 43037696 43342208 44175712 44294432 45473792 46348288 46676224 48249292 49533952 50486528 50622208 50980384 51960776 53344256 53487616 54516224 55142048 55532204 56600131 57853952 58263296 59383744 59803912 62304256 62745088 63465376 64685864 65901472 66586624 67867136 68347328 69142528 71708672 71785532 75315968 75848864 77307496 78111232 79579136 81109504 82040608 84436261 86075392 86684416 88351424 88588864 92696576 93352448 96498584 97181357 99067904 100973056 101244416 101960768 103921552 105114529 106688512 106975232 109032448 110284096 111064408 113200262 115707904 116526592 118767488 119607824 124608512 125490176 125624681 126930752 129371728 131802944 133173248 135734272 136694656 138285056 143417344 143571064 150631936 151697728 154614992 156222464 159158272 162219008 164081216 168872522 172150784 173368832 176702848 177177728 185393152 186704896 192997168 194362714 198135808 201946112 202488832 203921536 207843104 210229058 213377024 213950464 218064896 220568192 222128816 226400524 231415808 233053184 237534976 239215648 250980352 251249362 253861504 258743456 263605888 266346496 271468544 273389312 276570112 287142128 301263872 303395456 309229984 312444928 318316544 324438016 328162432 337745044 344301568 346737664 353405696 354355456 373409792 385994336 388725428 396200917 396271616 403892224 404977664 407843072 415686208 420458116 436129792 441136384 444257632 452801048 466106368 475069952 478431296 501960704 502498724 507723008 517486912 527211776 542937088 546778624 574284256 602527744 606790912 618459968 624889856 648876032 656324864 675490088 693475328 706811392 708710912 735801703 746819584 771988672 777450856 792401834 807784448 809955328 815686144 831372416 840916232 872259584 882272768 888515264 905602096 932212736 950139904 956862592 1003921408 1004997448 1015446016 1034973824 1054423552 1085874176 1093557248 1148568512 1205055488 1213581824 1236919936 1249779712 1297752064 1312649728 1350980176 1386950656 1413622784 1417421824 1471603406 1493639168 1543977344 1554901712 1584803668 1615568896 1619910656 1631372288 1662744832 1681832464 1764545536 1777030528 1811204192 1864425472 1900279808 1913725184 2009994896 2030892032 2069947648 2108847104 2187114496 2297137024 2410110976 2427163648 2473839872 2625299456 2701960352 2773901312 2827245568 2834843648 2943206812 3087954688 3109803424 3169607336 3262744576 3325489664 3363664928 3529091072 3554061056 3622408384 3800559616 3827450368 4019989792 4061784064 4139895296 4217694208 4374228992 4594274048 4854327296 4947679744 5150611921 5250598912 5403920704 5654491136 5669687296 5886413624 6175909376 6219606848 6339214672 6525489152 6650979328 6727329856 7058182144 7108122112 7244816768 7601119232 7654900736 8039979584 8123568128 8279790592 8435388416 8748457984 9188548096 9708654592 9895359488 10301223842 10501197824 10807841408 11308982272 11339374592 11772827248 12351818752 12439213696 12678429344 13050978304 13301958656 13454659712 14116364288 14216244224 14489633536 15309801472 16079959168 16247136256 16559581184 16870776832 18377096192 19417309184 19790718976 20602447684 21002395648 21615682816 23545654496 24703637504 24878427392 25356858688 26603917312 26909319424 28432488448 28979267072 30619602944 32159918336 33119162368 36754192384 39581437952 41204895368 43231365632 47091308992 49407275008 49756854784 50713717376 53207834624 53818638848 56864976896 57958534144 61239205888 64319836672 66238324736 73508384768 79162875904 82409790736 86462731264 94182617984 98814550016 99513709568 101427434752 107637277696 113729953792 115917068288 128639673344 147016769536 164819581472 172925462528 188365235968 199027419136 202854869504 215274555392 231834136576 257279346688 329639162944 345850925056 376730471936 398054838272 405709739008 430549110784 463668273152 514558693376 659278325888 691701850112 753460943872 796109676544 811419478016 861098221568 1029117386752 1318556651776 1506921887744 1622838956032 2637113303552 3013843775488 3245677912064 5274226607104 6027687550976 10548453214208 21096906428416 42193812856832
- Sum of all divisors σ(n): 112169740233096
- Sum of proper divisors (its aliquot sum) s(n): 69975927376264
- 42193812856832 is an abundant number, because the sum of its proper divisors (69975927376264) is greater than itself. Its abundance is 27782114519432
Bases of 42193812856832
- Binary: 10011001100000000000110011101000100000000000002
- Hexadecimal: 0x2660033A2000
- Base-36: EYFKIRGU8
Squares and roots of 42193812856832
- 42193812856832 squared (421938128568322) is 1780317843397361381329076224
- 42193812856832 cubed (421938128568323) is 75118397909987005813707299416080927162368
-
The
square root of 42193812856832 is 6495676.4741504791 -
The
cube root of 42193812856832 is 34813.6525616873
Scales and comparisons
How big is 42193812856832?- 42,193,812,856,832 seconds is equal to 1,341,632 years, 38 weeks, 1 day, 11 hours, 20 minutes, 32 seconds.
-
To count from 1 to 42,193,812,856,832 would take you about three million, three hundred fifty-four thousand and eighty-one 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 42193812856832 cubic inches would be around 2901.1 feet tall.
Recreational maths with 42193812856832
- 42193812856832 backwards is 23865821839124
- The number of decimal digits it has is: 14
- The sum of 42193812856832's digits is 62
- More coming soon!
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The information we have on file for 42193812856832 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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