42122349328617984
42,122,349,328,617,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 42122349328617984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
42122349328617984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42122349328617984:
29 × 3 × 23 × 37 × 892 × 20172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 37 × 89 × 89 × 2017 × 2017)See below for interesting mathematical facts about the number 42122349328617984 from the Numbermatics database.
Names of 42122349328617984
- Cardinal: 42122349328617984 can be written as Forty-two quadrillion, one hundred twenty-two trillion, three hundred forty-nine billion, three hundred twenty-eight million, six hundred seventeen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2122349328617984 × 1016
Factors of 42122349328617984
Divisors of 42122349328617984
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 89 92 96 111 128 138 148 178 184 192 222 256 267 276 296 356 368 384 444 512 534 552 592 712 736 768 851 888 1068 1104 1184 1424 1472 1536 1702 1776 2017 2047 2136 2208 2368 2553 2848 2944 3293 3404 3552 4034 4094 4272 4416 4736 5106 5696 5888 6051 6141 6586 6808 7104 7921 8068 8188 8544 8832 9472 9879 10212 11392 11776 12102 12282 13172 13616 14208 15842 16136 16376 17088 17664 18944 19758 20424 22784 23763 24204 24564 26344 27232 28416 31684 32272 32752 34176 35328 39516 40848 45568 46391 47526 48408 49128 52688 54464 56832 63368 64544 65504 68352 74629 75739 79032 81696 92782 95052 96816 98256 105376 108928 126736 129088 131008 136704 139173 149258 151478 158064 163392 179513 182183 185564 190104 193632 196512 210752 217856 223887 227217 253472 258176 262016 278346 293077 298516 302956 316128 326784 359026 364366 371128 380208 387264 393024 421504 435712 447774 454434 506944 516352 524032 538539 546549 556692 586154 597032 605912 632256 653568 718052 728732 742256 760416 774528 786048 843008 879231 895548 908868 1013888 1032704 1048064 1077078 1093098 1113384 1172308 1194064 1211824 1264512 1307136 1436104 1457464 1484512 1520832 1549056 1572096 1686016 1716467 1758462 1791096 1817736 2027776 2154156 2186196 2226768 2344616 2388128 2423648 2529024 2872208 2914928 2969024 3041664 3098112 3144192 3432934 3516924 3582192 3635472 4055552 4068289 4128799 4308312 4372392 4453536 4689232 4776256 4847296 5058048 5149401 5744416 5829856 5938048 6083328 6641981 6740771 6865868 7033848 7164384 7270944 8136578 8257598 8616624 8744784 8907072 9378464 9552512 9694592 10298802 11488832 11659712 11876096 12166656 12204867 12386397 13283962 13481542 13731736 14067696 14328768 14541888 15976657 16273156 16515196 17233248 17489568 17814144 18756928 19105024 19389184 19925943 20222313 20597604 22977664 23319424 23752192 24409734 24772794 26567924 26963084 27463472 28135392 28657536 29083776 31953314 32546312 33030392 34466496 34979136 35628288 37513856 38210048 38778368 39851886 40444626 41195208 45955328 46638848 47929971 48819468 49545588 53135848 53926168 54926944 56270784 57315072 58167552 63906628 65092624 66060784 68932992 69958272 71256576 75027712 79703772 80889252 82390416 91910656 93277696 93570647 95859942 97638936 99091176 106271696 107852336 109853888 112541568 114630144 116335104 127813256 130185248 132121568 137865984 139916544 150055424 150526693 152765563 159407544 161778504 164780832 187141294 191719884 195277872 198182352 212543392 215704672 219707776 225083136 255626512 260370496 264243136 275731968 279833088 280711941 301053386 305531126 318815088 323557008 329561664 362077721 367463111 374282588 383439768 390555744 396364704 425086784 431409344 439415552 450166272 451580079 458296689 511253024 520740992 528486272 561423882 591136309 602106772 611062252 637630176 647114016 659123328 724155442 734926222 748565176 766879536 781111488 792729408 850173568 862818688 878831104 903160158 916593378 1022506048 1041481984 1056972544 1086233163 1102389333 1122847764 1182272618 1204213544 1222124504 1275260352 1294228032 1318246656 1448310884 1469852444 1497130352 1533759072 1562222976 1585458816 1700347136 1725637376 1773408927 1806320316 1833186756 2045012096 2082963968 2113945088 2172466326 2204778666 2245695528 2364545236 2408427088 2444249008 2550520704 2588456064 2636493312 2896621768 2939704888 2994260704 3067518144 3124445952 3170917632 3400694272 3451274752 3462113939 3546817854 3612640632 3666373512 4090024192 4344932652 4409557332 4491391056 4729090472 4816854176 4888498016 5101041408 5176912128 5793243536 5879409776 5988521408 6135036288 6248891904 6341835264 6924227878 7093635708 7225281264 7332747024 8180048384 8327787583 8689865304 8819114664 8982782112 9458180944 9633708352 9776996032 10202082816 10353824256 10386341817 11586487072 11758819552 11977042816 12270072576 13396875677 13596135107 13848455756 14187271416 14450562528 14665494048 16655575166 17379730608 17638229328 17965564224 18916361888 19267416704 19553992064 20772683634 23172974144 23517639104 23954085632 24540145152 24983362749 26793751354 27192270214 27696911512 28374542832 28901125056 29330988096 32224917169 33311150332 34759461216 35276458656 35931128448 37832723776 38534833408 39107984128 40190627031 40788405321 41545367268 46345948288 47035278208 47908171264 49966725498 53587502708 54384540428 55393823024 56749085664 57802250112 58661976192 64449834338 66622300664 69518922432 70552917312 71862256896 75665447552 77069666816 78215968256 80381254062 81576810642 83090734536 92691896576 94070556416 96674751507 99933450996 107175005416 108769080856 110787646048 113498171328 115604500224 117323952384 128899668676 133244601328 139037844864 141105834624 143724513792 151330895104 160762508124 163153621284 166181469072 185383793152 188141112832 193349503014 199866901992 214350010832 217538161712 221575292096 226996342656 231209000448 234647904768 257799337352 266489202656 278075689728 282211669248 302661790208 308128140571 321525016248 326307242568 332362938144 386699006028 399733803984 428700021664 435076323424 443150584192 453992685312 515598674704 532978405312 556151379456 564423338496 616256281142 643050032496 652614485136 664725876288 741173094887 773398012056 799467607968 857400043328 870152646848 886301168384 907985370624 924384421713 1031197349408 1065956810624 1192321935253 1232512562284 1286100064992 1305228970272 1329451752576 1482346189774 1546796024112 1598935215936 1714800086656 1740305293696 1772602336768 1848768843426 2062394698816 2131913621248 2223519284661 2384643870506 2465025124568 2572200129984 2610457940544 2658903505152 2964692379548 3093592048224 3197870431872 3429600173312 3480610587392 3576965805759 3697537686852 4124789397632 4263827242496 4447038569322 4769287741012 4930050249136 5144400259968 5220915881088 5317807010304 5929384759096 6187184096448 6395740863744 6859200346624 6961221174784 7153931611518 7395075373704 8249578795264 8894077138644 9538575482024 9860100498272 10288800519936 10441831762176 11858769518192 12374368192896 12791481727488 14307863223036 14790150747408 16499157590528 17788154277288 19077150964048 19720200996544 20577601039872 20883663524352 23717539036384 24748736385792 27423404510819 28615726446072 29580301494816 35576308554576 38154301928096 39440401993088 47435078072768 49497472771584 54846809021638 57231452892144 59160602989632 71152617109152 76308603856192 78880803986176 82270213532457 94870156145536 109693618043276 114462905784288 118321205979264 142305234218304 152617207712384 157761607972352 164540427064914 189740312291072 219387236086552 228925811568576 236642411958528 284610468436608 305234415424768 329080854129828 379480624582144 438774472173104 457851623137152 473284823917056 569220936873216 610468830849536 658161708259656 877548944346208 915703246274304 1138441873746432 1316323416519312 1755097888692416 1831406492548608 2632646833038624 3510195777384832 5265293666077248 7020391554769664 10530587332154496 14040783109539328 21061174664308992 42122349328617984
- Sum of all divisors σ(n): 121687049740943808
- Sum of proper divisors (its aliquot sum) s(n): 79564700412325824
- 42122349328617984 is an abundant number, because the sum of its proper divisors (79564700412325824) is greater than itself. Its abundance is 37442351083707840
Bases of 42122349328617984
- Binary: 100101011010011000001101101101001101011001010010000000002
- Hexadecimal: 0x95A60DB4D65200
- Base-36: BIR4K53FF9C
Squares and roots of 42122349328617984
- 42122349328617984 squared (421223493286179842) is 1774292312962123927438611408224256
- 42122349328617984 cubed (421223493286179843) is 74737360617672170765130099205642346227400026619904
-
The
square root of 42122349328617984 is 205237300.0422145097 -
The
cube root of 42122349328617984 is 347939.8686362139
Scales and comparisons
How big is 42122349328617984?- 42,122,349,328,617,984 seconds is equal to 1,339,360,415 years, 34 weeks, 5 days, 10 hours, 46 minutes, 24 seconds.
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To count from 1 to 42,122,349,328,617,984 would take you about four billion, eighteen million, eighty-one thousand, two hundred forty-seven 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 42122349328617984 cubic inches would be around 28995 feet tall.
Recreational maths with 42122349328617984
- 42122349328617984 backwards is 48971682394322124
- The number of decimal digits it has is: 17
- The sum of 42122349328617984's digits is 75
- More coming soon!
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The information we have on file for 42122349328617984 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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