42138084022219008
42,138,084,022,219,008 is an even composite number composed of five prime numbers multiplied together.
What does the number 42138084022219008 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
42138084022219008 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42138084022219008:
28 × 35 × 233 × 61 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 23 × 61 × 97 × 97 × 97)See below for interesting mathematical facts about the number 42138084022219008 from the Numbermatics database.
Names of 42138084022219008
- Cardinal: 42138084022219008 can be written as Forty-two quadrillion, one hundred thirty-eight trillion, eighty-four billion, twenty-two million, two hundred nineteen thousand and eight.
Scientific notation
- Scientific notation: 4.2138084022219008 × 1016
Factors of 42138084022219008
Divisors of 42138084022219008
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 61 64 69 72 81 92 96 97 108 122 128 138 144 162 183 184 192 194 207 216 243 244 256 276 288 291 324 366 368 384 388 414 432 486 488 529 549 552 576 582 621 648 732 736 768 776 828 864 873 972 976 1058 1098 1104 1152 1164 1242 1296 1403 1464 1472 1552 1587 1647 1656 1728 1746 1863 1944 1952 2116 2196 2208 2231 2304 2328 2484 2592 2619 2806 2928 2944 3104 3174 3294 3312 3456 3492 3726 3888 3904 4209 4232 4392 4416 4462 4656 4761 4941 4968 5184 5238 5589 5612 5856 5888 5917 6208 6348 6588 6624 6693 6912 6984 7452 7776 7808 7857 8418 8464 8784 8832 8924 9312 9409 9522 9882 9936 10368 10476 11178 11224 11712 11834 12167 12416 12627 12696 13176 13248 13386 13968 14283 14823 14904 15552 15616 15714 16836 16928 17568 17664 17751 17848 18624 18818 19044 19764 19872 20079 20736 20952 22356 22448 23424 23571 23668 24334 24832 25254 25392 26352 26496 26772 27936 28227 28566 29646 29808 31104 31428 32269 33672 33856 35136 35502 35696 36501 37248 37636 37881 38088 39528 39744 40158 41904 42849 44712 44896 46848 47142 47336 48668 50508 50784 51313 52704 52992 53253 53544 55872 56454 57132 59292 59616 60237 62208 62856 64538 67344 67712 70272 71004 71392 73002 74496 75272 75762 76176 79056 79488 80316 83808 84681 85698 89424 89792 94284 94672 96807 97336 101016 101568 102626 105408 106506 107088 109503 111744 112908 113643 114264 118584 119232 120474 125712 128547 129076 134688 135424 136091 140544 142008 142784 146004 150544 151524 152352 153939 158112 158976 159759 160632 167616 169362 171396 178848 179584 180711 188568 189344 193614 194672 202032 203136 205252 210816 213012 214176 216407 219006 223488 225816 227286 228528 237168 238464 240948 251424 254043 257094 258152 269376 272182 284016 285568 290421 292008 301088 303048 304704 307878 316224 319518 321264 328509 335232 338724 340929 342792 357696 359168 361422 377136 378688 387228 389344 404064 406272 408273 410504 421632 426024 428352 432814 438012 451632 454572 457056 461817 474336 476928 479277 481896 502848 508086 514188 516304 538752 542133 544364 568032 571136 573949 580842 584016 602176 606096 609408 615756 632448 639036 642528 649221 657018 670464 677448 681858 685584 715392 722844 742187 754272 757376 762129 774456 778688 808128 816546 821008 852048 856704 865628 871263 876024 903264 909144 912673 914112 923634 948672 958554 963792 985527 1005696 1016172 1028376 1032608 1077504 1084266 1088728 1136064 1147898 1161684 1168032 1180199 1204352 1212192 1218816 1224819 1231512 1264896 1278072 1285056 1298442 1314036 1354896 1363716 1371168 1385451 1430784 1437831 1445688 1484374 1508544 1514752 1524258 1548912 1557376 1616256 1633092 1642016 1704096 1713408 1721847 1731256 1742526 1752048 1806528 1818288 1825346 1828224 1847268 1897344 1917108 1927584 1947663 1971054 2011392 2032344 2056752 2065216 2168532 2177456 2226561 2272128 2286387 2295796 2323368 2336064 2360398 2408704 2424384 2449638 2463024 2556144 2570112 2596884 2613789 2628072 2709792 2727432 2738019 2742336 2770902 2875662 2891376 2956581 2968748 3017088 3048516 3097824 3114752 3130093 3232512 3266184 3284032 3408192 3443694 3462512 3485052 3504096 3540597 3613056 3636576 3650692 3656448 3674457 3694536 3794688 3834216 3855168 3895326 3942108 4064688 4113504 4130432 4156353 4337064 4354912 4453122 4544256 4572774 4591592 4646736 4672128 4720796 4848768 4899276 4926048 4977361 5112288 5140224 5165541 5193768 5227578 5256144 5419584 5454864 5476038 5484672 5541804 5751324 5782752 5842989 5913162 5937496 6034176 6097032 6195648 6260186 6532368 6568064 6679683 6816384 6887388 6925024 6970104 7008192 7081194 7226112 7273152 7301384 7348914 7389072 7668432 7710336 7790652 7841367 7884216 8129376 8214057 8227008 8260864 8312706 8674128 8709824 8906244 9145548 9183184 9293472 9344256 9390279 9441592 9697536 9798552 9852096 9954722 10224576 10331082 10387536 10455156 10512288 10621791 10839168 10909728 10952076 10969344 11023371 11083608 11502648 11565504 11685978 11826324 11874992 12194064 12391296 12469059 12520372 13064736 13136128 13200827 13359366 13632768 13774776 13850048 13940208 14016384 14162388 14546304 14602768 14697828 14778144 14932083 15336864 15420672 15496623 15581304 15682734 15768432 16258752 16428114 16454016 16625412 17348256 17419648 17528967 17812488 18291096 18366368 18586944 18780558 18883184 19597104 19704192 19909444 20039049 20449152 20662164 20775072 20910312 20991479 21024576 21243582 21678336 21819456 21904152 22046742 22167216 23005296 23131008 23371956 23652648 23749984 24388128 24642171 24782592 24938118 25040744 26129472 26401654 26718732 27549552 27700096 27880416 28032768 28170837 28324776 29092608 29205536 29395656 29556288 29864166 30673728 30993246 31162608 31365468 31536864 31865373 32517504 32856228 32908032 33070113 33250824 34696512 34839296 35057934 35624976 36582192 36732736 37173888 37561116 37766368 39194208 39408384 39602481 39818888 40078098 40898304 41324328 41550144 41820624 41982958 42049152 42487164 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312857003016 326459481408 327802936064 335195399184 349769112192 353412540444 355343756512 368778303072 370793485056 373207248576 377094824082 384812142336 393490251216 395640471168 399761726076 410598523008 414875590956 417142670688 432913660128 435279308544 445095530064 446927198912 469285504524 471216720592 491704404096 497609664768 502793098776 524653668288 530118810666 533015634768 553167454608 556190227584 559810872864 565642236123 577218213504 590235376824 593460706752 599642589114 622313386434 625714006032 652918962816 670390798368 677374035851 699538224384 706825080888 710687513024 737556606144 746414497152 754189648164 786980502432 791280942336 795178215999 799523452152 821197046016 829751181912 834285341376 865827320256 890191060128 893854397824 899463883671 938571009048 942433441184 983408808192 1005586197552 1049307336576 1060237621332 1066031269536 1106334909216 1112380455168 1119621745728 1131284472246 1154436427008 1180470753648 1186921413504 1199285178228 1244626772868 1251428012064 1305837925632 1340781596736 1354748071702 1413650161776 1421375026048 1475113212288 1492828994304 1508379296328 1573961004864 1590356431998 1599046904304 1659502363824 1668570682752 1696926708369 1731654640512 1780382120256 1787708795648 1798927767342 1877142018096 1884866882368 2011172395104 2032122107553 2098614673152 2120475242664 2132062539072 2212669818432 2239243491456 2262568944492 2360941507296 2373842827008 2385534647997 2398570356456 2489253545736 2502856024128 2681563193472 2698391651013 2709496143404 2827300323552 2842750052096 2950226424576 3016758592656 3147922009728 3180712863996 3198093808608 3319004727648 3337141365504 3393853416738 3463309281024 3560764240512 3597855534684 3754284036192 3769733764736 4022344790208 4064244215106 4240950485328 4264125078144 4425339636864 4478486982912 4525137888984 4721883014592 4771069295994 4797140712912 4978507091472 5005712048256 5363126386944 5396783302026 5418992286808 5654600647104 6033517185312 6096366322659 6295844019456 6361425727992 6396187617216 6638009455296 6787706833476 7121528481024 7156603943991 7195711069368 7508568072384 7539467529472 8044689580416 8128488430212 8481900970656 8528250156288 8850679273728 9050275777968 9443766029184 9542138591988 9594281425824 9957014182944 10011424096512 10793566604052 10837984573616 11309201294208 12067034370624 12192732645318 12722851455984 12792375234432 13276018910592 13575413666952 14313207887982 14391422138736 15017136144768 16089379160832 16256976860424 16963801941312 18100551555936 18289098967977 18887532058368 19084277183976 19188562851648 19914028365888 21587133208104 21675969147232 22618402588416 24134068741248 24385465290636 25445702911968 25584750468864 26552037821184 27150827333904 28626415775964 28782844277472 30034272289536 32513953720848 33927603882624 36201103111872 36578197935954 38168554367952 38377125703296 39828056731776 43174266416208 43351938294464 48268137482496 48770930581272 50891405823936 54301654667808 54867296903931 57252831551928 57565688554944 65027907441696 67855207765248 72402206223744 73156395871908 76337108735904 76754251406592 79656113463552 86348532832416 86703876588928 97541861162544 101782811647872 108603309335616 109734593807862 114505663103856 115131377109888 130055814883392 144804412447488 146312791743816 152674217471808 164601890711793 172697065664832 173407753177856 195083722325088 203565623295744 217206618671232 219469187615724 229011326207712 230262754219776 260111629766784 292625583487632 305348434943616 329203781423586 345394131329664 390167444650176 434413237342464 438938375231448 458022652415424 520223259533568 585251166975264 610696869887232 658407562847172 690788262659328 780334889300352 877876750462896 916045304830848 1170502333950528 1316815125694344 1560669778600704 1755753500925792 1832090609661696 2341004667901056 2633630251388688 3511507001851584 4682009335802112 5267260502777376 7023014003703168 10534521005554752 14046028007406336 21069042011109504 42138084022219008
- Sum of all divisors σ(n): 135274763619340800
- Sum of proper divisors (its aliquot sum) s(n): 93136679597121792
- 42138084022219008 is an abundant number, because the sum of its proper divisors (93136679597121792) is greater than itself. Its abundance is 50998595574902784
Bases of 42138084022219008
- Binary: 100101011011010001011101001110011010100011110001000000002
- Hexadecimal: 0x95B45D39A8F100
- Base-36: BIWPCK5QO00
Squares and roots of 42138084022219008
- 42138084022219008 squared (421380840222190082) is 1775618125063588851495028316504064
- 42138084022219008 cubed (421380840222190083) is 74821145745304485691493909983305681298006330048512
-
The
square root of 42138084022219008 is 205275629.3918472145 -
The
cube root of 42138084022219008 is 347983.1872526035
Scales and comparisons
How big is 42138084022219008?- 42,138,084,022,219,008 seconds is equal to 1,339,860,730 years, 13 weeks, 1 day, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 42,138,084,022,219,008 would take you about four billion, nineteen million, five hundred eighty-two thousand, one hundred ninety 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 42138084022219008 cubic inches would be around 28998.6 feet tall.
Recreational maths with 42138084022219008
- 42138084022219008 backwards is 80091222048083124
- 42138084022219008 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42138084022219008's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42138084022219008 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 42138084022219008 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/42138084022219008/
Chicago style:
Numbermatics. 2024. "Number 42138084022219008 - Facts about the integer". https://numbermatics.com/n/42138084022219008/
The information we have on file for 42138084022219008 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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