42053315106816
42,053,315,106,816 is an even composite number composed of six prime numbers multiplied together.
42053315106816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42053315106816:
211 × 32 × 134 × 17 × 37 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 13 × 17 × 37 × 127)See below for interesting mathematical facts about the number 42053315106816 from the Numbermatics database.
Names of 42053315106816
- Cardinal: 42053315106816 can be written as Forty-two trillion, fifty-three billion, three hundred fifteen million, one hundred six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2053315106816 × 1013
Factors of 42053315106816
Divisors of 42053315106816
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 37 39 48 51 52 64 68 72 74 78 96 102 104 111 117 127 128 136 144 148 153 156 169 192 204 208 221 222 234 254 256 272 288 296 306 312 333 338 381 384 408 416 442 444 468 481 507 508 512 544 576 592 612 624 629 663 666 676 762 768 816 832 884 888 936 962 1014 1016 1024 1088 1143 1152 1184 1224 1248 1258 1326 1332 1352 1443 1521 1524 1536 1632 1651 1664 1768 1776 1872 1887 1924 1989 2028 2032 2048 2159 2176 2197 2286 2304 2368 2448 2496 2516 2652 2664 2704 2873 2886 3042 3048 3072 3264 3302 3328 3536 3552 3744 3774 3848 3978 4056 4064 4318 4329 4352 4394 4572 4608 4699 4736 4896 4953 4992 5032 5304 5328 5408 5661 5746 5772 6084 6096 6144 6253 6477 6528 6591 6604 6656 7072 7104 7488 7548 7696 7956 8112 8128 8177 8619 8636 8658 8704 8788 9144 9216 9398 9472 9792 9906 9984 10064 10608 10656 10816 11322 11492 11544 12168 12192 12506 12954 13056 13182 13208 13312 14097 14144 14208 14859 14976 15096 15392 15912 16224 16256 16354 17238 17272 17316 17408 17576 18288 18432 18759 18796 18944 19431 19584 19773 19812 19968 20128 21216 21312 21463 21632 22644 22984 23088 24336 24384 24531 25012 25857 25908 26112 26364 26416 26624 28067 28194 28288 28416 28561 29718 29952 30192 30784 31824 32448 32512 32708 34476 34544 34632 34816 35152 36576 37349 37518 37592 37888 38862 39168 39546 39624 39936 40256 42291 42432 42624 42926 43264 45288 45968 46176 48672 48768 49062 50024 51714 51816 52224 52728 52832 56134 56277 56388 56576 56832 57122 59436 59904 60384 61087 61568 63648 64389 64896 65024 65416 68952 69088 69264 70304 73152 73593 74698 75036 75184 75776 77724 78336 79092 79248 79872 79883 80512 81289 84201 84582 84864 85248 85683 85852 86528 90576 91936 92352 97344 97536 98124 100048 103428 103632 104448 105456 105664 106301 112047 112268 112554 112776 113152 113664 114244 118872 119808 120768 122174 123136 127296 128778 129792 130048 130832 137904 138176 138528 140608 146304 147186 149396 150072 150368 155448 156672 158184 158496 159766 161024 162578 168402 169164 169728 170496 171366 171704 173056 181152 183261 183872 184704 193167 194688 195072 196248 200096 206856 207264 210912 211328 212602 224094 224536 225108 225552 226304 227328 228488 237744 239616 239649 241536 243867 244348 246272 252603 254592 257049 257556 259584 260096 261664 275808 276352 277056 279019 281216 292608 294372 298792 300144 300736 310896 313344 316368 316992 318903 319532 322048 325156 336141 336804 338328 339456 340992 342732 343408 346112 362304 364871 366522 367744 369408 386334 389376 390144 392496 400192 413712 414528 421824 422656 425204 448188 449072 450216 451104 452608 456976 475488 479298 483072 485537 487734 488696 492544 505206 509184 514098 515112 519168 523328 549783 551616 552704 554112 558038 562432 585216 588744 597584 600288 601472 621792 632736 633984 637806 639064 644096 650312 672282 673608 676656 678912 681984 685464 686816 718947 724608 729742 731601 733044 735488 738816 772668 778752 780288 784992 794131 800384 827424 829056 837057 843648 845312 850408 896376 898144 900432 902208 913952 950976 956709 958596 966144 971074 975468 977392 985088 1010412 1018368 1028196 1030224 1038336 1038479 1046656 1056757 1094613 1099566 1103232 1105408 1108224 1116076 1124864 1170432 1177488 1195168 1200576 1202944 1243584 1265472 1267968 1275612 1278128 1288192 1300624 1344564 1347216 1353312 1357824 1370928 1373632 1381913 1437894 1449216 1456611 1459484 1463202 1466088 1470976 1477632 1545336 1557504 1569984 1588262 1600768 1654848 1658112 1674114 1687296 1690624 1700816 1792752 1796288 1800864 1804416 1827904 1901952 1913418 1917192 1932288 1942148 1950936 1954784 2020824 2036736 2056392 2060448 2076958 2093312 2113514 2189226 2199132 2206464 2210816 2216448 2232152 2249728 2340864 2354976 2382393 2390336 2401152 2405888 2487168 2511171 2530944 2535936 2551224 2556256 2601248 2689128 2694432 2706624 2741856 2747264 2763826 2875788 2898432 2913222 2918968 2926404 2932176 2941952 2955264 3090672 3115008 3115437 3139968 3170271 3176524 3201536 3283839 3309696 3316224 3348228 3374592 3381248 3401632 3585504 3592576 3601728 3608832 3627247 3655808 3803904 3826836 3834384 3864576 3884296 3901872 3909568 4041648 4073472 4112784 4120896 4145739 4153916 4186624 4227028 4369833 4378452 4398264 4412928 4421632 4432896 4464304 4499456 4709952 4743323 4764786 4780672 4802304 4811776 4974336 5022342 5061888 5071872 5102448 5112512 5202496 5378256 5388864 5413248 5483712 5494528 5527652 5751576 5796864 5826444 5837936 5852808 5864352 5883904 6181344 6230874 6279936 6340542 6353048 6403072 6567678 6619392 6632448 6696456 6749184 6803264 7147179 7171008 7185152 7203456 7217664 7254494 7311616 7607808 7653672 7668768 7768592 7803744 7819136 8083296 8225568 8241792 8291478 8307832 8373248 8454056 8739666 8756904 8796528 8825856 8865792 8928608 9346311 9419904 9486646 9510813 9529572 9561344 9604608 9623552 9948672 10044684 10123776 10143744 10204896 10225024 10323703 10404992 10756512 10777728 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374579712 375318528 395606016 397990944 398775936 402624417 405794688 406595072 420331392 428573184 431156856 432007264 455359008 457419456 464287616 486008172 489835008 490801152 493305592 495537744 497189888 499439616 517330944 522323568 526436352 526508853 530654592 531701248 536832556 541059584 554968791 559338624 560441856 562977792 571430912 574875808 598163904 607145344 608692032 609892608 642859776 646735284 648010896 653113344 660716992 683038512 688416768 696431424 702011804 707539456 736201728 739958388 743306616 745784832 747255808 749159424 795981888 797551872 805248834 811589376 813190144 840662784 857146368 862313712 864014528 910718016 914838912 928575232 972016344 979670016 986611184 991075488 994379776 1044647136 1053017706 1061309184 1063402496 1073665112 1082119168 1109937582 1118677248 1120883712 1125955584 1149751616 1196327808 1207873251 1214290688 1217384064 1219785216 1285719552 1293470568 1296021792 1321433984 1366077024 1392862848 1404023608 1415078912 1472403456 1479916776 1486613232 1491569664 1498318848 1579526559 1591963776 1595103744 1610497668 1623178752 1626380288 1681325568 1714292736 1724627424 1728029056 1821436032 1829677824 1857150464 1944032688 1959340032 1973222368 1982150976 2089294272 2106035412 2122618368 2126804992 2147330224 2164238336 2219875164 2237354496 2241767424 2281538363 2299503232 2392655616 2415746502 2428581376 2434768128 2439570432 2571439104 2586941136 2592043584 2642867968 2732154048 2785725696 2808047216 2830157824 2959833552 2973226464 2983139328 3159053118 3183927552 3190207488 3220995336 3246357504 3362651136 3449254848 3456058112 3642872064 3659355648 3714300928 3888065376 3946444736 3964301952 4178588544 4212070824 4245236736 4294660448 4439750328 4474708992 4563076726 4599006464 4785311232 4831493004 4857162752 4869536256 4879140864 5142878208 5173882272 5184087168 5285735936 5464308096 5571451392 5616094432 5919667104 5946452928 6318106236 6367855104 6380414976 6441990672 6492715008 6725302272 6844615089 6898509696 6912116224 7285744128 7318711296 7428601856 7776130752 7892889472 7928603904 8357177088 8424141648 8490473472 8589320896 8879500656 8949417984 9126153452 9198012928 9570622464 9662986008 9714325504 9739072512 10347764544 10368174336 10571471872 10928616192 11142902784 11232188864 11839334208 11892905856 12636212472 12735710208 12883981344 13689230178 13797019392 13824232448 14571488256 14637422592 15552261504 15785778944 15857207808 16714354176 16848283296 17178641792 17759001312 18252306904 18396025856 19141244928 19325972016 19478145024 20533845267 20695529088 20736348672 21142943744 21857232384 22285805568 22464377728 23678668416 23785811712 25272424944 25471420416 25767962688 27378460356 27594038784 27648464896 29142976512 31104523008 31571557888 31714415616 33428708352 33696566592 34357283584 35518002624 36504613808 36792051712 38651944032 41067690534 41391058176 41472697344 43714464768 44928755456 47357336832 47571623424 50544849888 51535925376 54756920712 55188077568 62209046016 63143115776 63428831232 66857416704 67393133184 68714567168 71036005248 73009227616 77303888064 82135381068 82782116352 82945394688 87428929536 89857510912 94714673664 95143246848 101089699776 103071850752 109513841424 110376155136 124418092032 126286231552 134786266368 137429134336 142072010496 146018455232 154607776128 164270762136 165564232704 179715021824 189429347328 190286493696 202179399552 206143701504 219027682848 248836184064 269572532736 274858268672 284144020992 292036910464 309215552256 328541524272 331128465408 359430043648 378858694656 404358799104 412287403008 438055365696 539145065472 568288041984 584073820928 618431104512 657083048544 808717598208 824574806016 876110731392 1078290130944 1136576083968 1168147641856 1236862209024 1314166097088 1617435196416 1752221462784 2336295283712 2473724418048 2628332194176 3234870392832 3504442925568 4672590567424 5256664388352 7008885851136 10513328776704 14017771702272 21026657553408 42053315106816
- Sum of all divisors σ(n): 144210763307520
- Sum of proper divisors (its aliquot sum) s(n): 102157448200704
- 42053315106816 is an abundant number, because the sum of its proper divisors (102157448200704) is greater than itself. Its abundance is 60104133093888
Bases of 42053315106816
- Binary: 10011000111111010011001110100010011000000000002
- Hexadecimal: 0x263F4CE89800
- Base-36: EWN0Y1340
Squares and roots of 42053315106816
- 42053315106816 squared (420533151068162) is 1768481311473158801489657856
- 42053315106816 cubed (420533151068163) is 74370501851895960890383981600511933546496
-
The
square root of 42053315106816 is 6484852.7436493113 -
The
cube root of 42053315106816 is 34774.9685416899
Scales and comparisons
How big is 42053315106816?- 42,053,315,106,816 seconds is equal to 1,337,165 years, 17 weeks, 5 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,053,315,106,816 would take you about three million, three hundred forty-two thousand, nine hundred thirteen 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 42053315106816 cubic inches would be around 2897.9 feet tall.
Recreational maths with 42053315106816
- 42053315106816 backwards is 61860151335024
- The number of decimal digits it has is: 14
- The sum of 42053315106816's digits is 45
- More coming soon!
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"Number 42053315106816 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 42053315106816 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42053315106816/
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The information we have on file for 42053315106816 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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