42073206525504
42,073,206,525,504 is an even composite number composed of six prime numbers multiplied together.
What does the number 42073206525504 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
42073206525504 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 42073206525504:
26 × 34 × 7 × 113 × 193 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 11 × 19 × 19 × 19 × 127)See below for interesting mathematical facts about the number 42073206525504 from the Numbermatics database.
Names of 42073206525504
- Cardinal: 42073206525504 can be written as Forty-two trillion, seventy-three billion, two hundred six million, five hundred twenty-five thousand, five hundred four.
Scientific notation
- Scientific notation: 4.2073206525504 × 1013
Factors of 42073206525504
Divisors of 42073206525504
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 54 56 57 63 64 66 72 76 77 81 84 88 96 99 108 112 114 121 126 127 132 133 144 152 154 162 168 171 176 189 192 198 209 216 224 228 231 242 252 254 264 266 288 297 304 308 324 336 342 352 361 363 378 381 396 399 418 432 448 456 462 484 504 508 513 528 532 567 576 594 608 616 627 648 672 684 693 704 722 726 756 762 792 798 836 847 864 889 891 912 924 968 1008 1016 1026 1056 1064 1083 1089 1134 1143 1188 1197 1216 1232 1254 1296 1331 1344 1368 1386 1397 1444 1452 1463 1512 1524 1539 1584 1596 1672 1694 1728 1778 1782 1824 1848 1881 1936 2016 2032 2052 2079 2112 2128 2166 2178 2268 2286 2299 2376 2394 2413 2464 2508 2527 2541 2592 2662 2667 2736 2772 2794 2888 2904 2926 3024 3048 3078 3168 3192 3249 3267 3344 3388 3429 3556 3564 3591 3648 3696 3762 3872 3971 3993 4032 4064 4104 4158 4191 4256 4332 4356 4389 4536 4572 4598 4752 4788 4826 4928 5016 5054 5082 5184 5324 5334 5472 5544 5588 5643 5776 5808 5852 6048 6096 6156 6237 6336 6384 6498 6534 6688 6776 6858 6859 6897 7112 7128 7182 7239 7392 7524 7581 7623 7744 7942 7986 8001 8128 8208 8316 8382 8512 8664 8712 8778 9072 9144 9196 9317 9504 9576 9652 9747 9779 9801 10032 10108 10164 10287 10648 10668 10773 10944 11088 11176 11286 11552 11616 11704 11913 11979 12096 12192 12312 12474 12573 12768 12996 13068 13167 13376 13552 13716 13718 13794 14224 14256 14364 14478 14784 15048 15162 15246 15367 15884 15972 16002 16093 16416 16632 16764 16891 16929 17328 17424 17556 18144 18288 18392 18634 19008 19152 19304 19494 19558 19602 20064 20216 20328 20574 20577 20691 21296 21336 21546 21717 22176 22352 22572 22743 22869 23104 23232 23408 23826 23958 24003 24384 24624 24948 25146 25289 25536 25992 26136 26334 26543 27104 27432 27436 27588 27797 27951 28448 28512 28728 28956 29241 29337 30096 30324 30492 30734 31768 31944 32004 32186 32832 33264 33528 33782 33858 34656 34848 35112 35739 35937 36288 36576 36784 37268 37719 38304 38608 38988 39116 39204 39501 40128 40432 40656 41148 41154 41382 42592 42672 43092 43434 43681 44352 44704 45144 45486 45738 45847 46101 46816 47652 47916 48006 48013 48279 49248 49896 50292 50578 50673 51984 52272 52668 53086 54208 54864 54872 55176 55594 55902 56896 57024 57456 57912 58482 58674 60192 60648 60984 61468 61731 62073 63536 63888 64008 64372 65151 66528 67056 67564 67716 68229 68607 69312 69696 70224 71478 71874 72009 73152 73568 74536 75438 75449 75867 76608 77216 77976 78232 78408 79002 79629 80864 81312 82296 82308 82764 83391 83853 85184 85344 86184 86868 87362 88011 89408 90288 90972 91476 91694 92202 93632 95304 95832 96012 96026 96558 98496 99792 100584 101156 101346 103968 104544 105336 106172 107217 107569 107811 109728 109744 110352 111188 111804 113157 114912 115824 116964 117348 118503 120384 121296 121968 122936 123462 124146 127072 127776 128016 128744 130302 131043 133056 134112 135128 135432 136458 137214 137541 138303 140448 142956 143748 144018 144039 144837 147136 149072 150876 150898 151734 152019 154432 155952 156464 156816 158004 159258 161728 162624 164592 164616 165528 166782 167706 169037 170688 172368 173736 174724 176022 177023 180576 181944 182952 183388 184404 185193 185801 186219 190608 191664 192024 192052 193116 195453 199584 201168 202312 202692 204687 207936 209088 210672 212344 214434 215138 215622 219456 219488 220704 222376 223608 226314 226347 227601 229824 231648 233928 234696 237006 238887 242592 243936 245872 246924 248292 250173 251559 254144 255552 256032 257488 260604 262086 264033 268224 270256 270864 272916 274428 275082 276606 280896 285912 287496 288036 288078 289674 291973 298144 301752 301796 303468 304038 305767 311904 312928 313632 316008 318516 320929 321651 322707 329184 329232 331056 333564 335412 338074 344736 347472 349448 352044 354046 361152 363888 365904 366776 368808 370386 371602 372438 381216 383328 384048 384104 386232 390906 393129 399168 402336 404624 405384 409374 412623 414909 421344 424688 428868 430276 431244 432117 434511 438976 441408 444752 447216 452628 452694 455202 456057 463296 467856 469392 474012 477774 480491 485184 487872 491744 493848 496584 500346 503118 504317 507111 512064 514976 521208 524172 528066 528143 531069 540512 541728 545832 548856 550164 553212 555579 557403 571824 574992 576072 576156 579348 583946 596288 603504 603592 606936 608076 611534 623808 625856 627264 632016 637032 641858 643302 645414 658368 658464 662112 667128 670824 676148 679041 682803 689472 694944 698896 704088 708092 716661 727776 731808 733552 737616 740772 743204 744876 750519 754677 762432 766656 768096 768208 772464 781812 786258 792099 804672 809248 810768 818748 825246 829818 829939 842688 849376 857736 860552 862488 864234 869022 871093 875919 889504 894432 905256 905388 910404 912114 917301 935712 938784 948024 955548 960982 962787 968121 983488 987696 993168 1000692 1006236 1008634 1014222 1029952 1042416 1048344 1056132 1056286 1062138 1081024 1083456 1091664 1097712 1100328 1106424 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511167888 511242424 517429242 520295886 528365376 532558752 536593288 537800472 539566104 544876794 549201213 554565312 557637696 557719008 564468264 571895478 575147727 584277056 585374496 588617568 599128596 603667449 607011867 613249472 616646976 621318544 622716336 627433884 632413518 645779904 653594832 657311688 658546308 662194764 677802048 681557184 684473328 689905656 693727848 698983362 717067296 719421472 726502392 732268284 737815771 739475649 752624352 756794016 762527304 766751832 766863636 776143863 792548064 798838128 804889932 809349156 830288448 831847968 836578512 843218024 854312998 871459776 876287808 876415584 878061744 882926352 898692894 912631104 917687232 919874208 924970464 931977816 941150826 948620277 963192384 968669856 976357712 985967532 987819462 1016703072 1022335776 1022484848 1034858484 1040591772 1048475043 1065117504 1073186576 1075600944 1079132208 1089753588 1098402426 1115438016 1128936528 1143790956 1150295454 1159424783 1170748992 1177235136 1198257192 1207334898 1214023734 1242637088 1245432672 1254867768 1264827036 1281469497 1307189664 1314623376 1317092616 1324389528 1368946656 1379811312 1387455696 1397966724 1434134592 1438842944 1453004784 1464536568 1475631542 1478951298 1505248704 1513588032 1525054608 1533503664 1533727272 1552287726 1585096128 1597676256 1609779864 1618698312 1647603639 1663695936 1673157024 1686436048 1708625996 1725443181 1752831168 1756123488 1765852704 1797385788 1811002347 1821035601 1839748416 1849940928 1863955632 1882301652 1897240554 1937339712 1952715424 1971935064 1975638924 2033406144 2044671552 2044969696 2069716968 2081183544 2096950086 2146373152 2151201888 2158264416 2179507176 2196804852 2213447313 2257873056 2287581912 2300590908 2318849566 2396514384 2414669796 2428047468 2485274176 2490865344 2509735536 2529654072 2562938994 2614379328 2629246752 2634185232 2648779056 2737893312 2759622624 2774911392 2795933448 2845860831 2906009568 2929073136 2951263084 2957902596 3050109216 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9275398264 9586057536 9658679184 9712189872 9885621834 10038942144 10118616288 10251755976 10352659086 10434823047 10536740928 10595116224 10866014082 11183733792 11383443324 11533225473 11716292544 11805052336 11831610384 12269818176 12418301808 12581700516 12878238912 12949586496 13180829112 13280683878 13669007968 13803545448 13913097396 14379086304 14488018776 14568284808 15058413216 15177924432 15377633964 15775480512 15805111392 16231946962 16557735744 16649468352 16775600688 17075164986 17436057408 17574438816 17707578504 18300655296 18404727264 18550796528 19317358368 19424379744 19771243668 19921025817 20237232576 20503511952 20705318172 20869646094 21732028164 22367467584 22766886648 23066450946 23610104672 23663220768 24347920443 24836603616 25163401032 26361658224 26561367756 27338015936 27607090896 27826194792 28758172608 28976037552 29136569616 30116826432 30355848864 30755267928 31304469141 31610222784 32463893924 33551201376 34150329972 34599676419 35148877632 35415157008 36809454528 37101593056 38634716736 38848759488 39542487336 39842051634 41007023904 41410636344 41739292188 43464056328 45533773296 46132901892 47220209344 47326441536 48695840886 49673207232 50326802064 52723316448 53122735512 55214181792 55652389584 57952075104 58273139232 59763077451 60711697728 61510535856 62608938282 64927787848 67102402752 68300659944 69199352838 70830314016 73043761329 74203186112 79084974672 79684103268 82014047808 82821272688 83478584376 86928112656 91067546592 92265803784 93913407423 97391681772 100653604128 105446632896 106245471024 110428363584 111304779168 115904150208 116546278464 119526154902 123021071712 125217876564 129855575696 136601319888 138398705676 141660628032 146087522658 158169949344 159368206536 165642545376 166957168752 173856225312 182135093184 184531607568 187826814846 194783363544 201307208256 212490942048 219131283987 222609558336 239052309804 246042143424 250435753128 259711151392 273202639776 276797411352 292175045316 316339898688 318736413072 331285090752 333914337504 347712450624 369063215136 375653629692 389566727088 424981884096 438262567974 478104619608 500871506256 519422302784 546405279552 553594822704 584350090632 637472826144 657393851961 667828675008 738126430272 751307259384 779133454176 876525135948 956209239216 1001743012512 1107189645408 1168700181264 1274945652288 1314787703922 1502614518768 1558266908352 1753050271896 1912418478432 2003486025024 2214379290816 2337400362528 2629575407844 3005229037536 3506100543792 3824836956864 4674800725056 5259150815688 6010458075072 7012201087584 10518301631376 14024402175168 21036603262752 42073206525504
- Sum of all divisors σ(n): 166789493882880
- Sum of proper divisors (its aliquot sum) s(n): 124716287357376
- 42073206525504 is an abundant number, because the sum of its proper divisors (124716287357376) is greater than itself. Its abundance is 82643080831872
Bases of 42073206525504
- Binary: 10011001000011111011101000011110001110010000002
- Hexadecimal: 0x2643EE878E40
- Base-36: EWW5WV800
Squares and roots of 42073206525504
- 42073206525504 squared (420732065255042) is 1770154707337712367802454016
- 42073206525504 cubed (420732065255043) is 74476084583912663344097615250356091224064
-
The
square root of 42073206525504 is 6486386.2454762899 -
The
cube root of 42073206525504 is 34780.4505861153
Scales and comparisons
How big is 42073206525504?- 42,073,206,525,504 seconds is equal to 1,337,797 years, 42 weeks, 6 days, 20 hours, 38 minutes, 24 seconds.
-
To count from 1 to 42,073,206,525,504 would take you about three million, three hundred forty-four thousand, four hundred ninety-four 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 42073206525504 cubic inches would be around 2898.4 feet tall.
Recreational maths with 42073206525504
- 42073206525504 backwards is 40552560237024
- The number of decimal digits it has is: 14
- The sum of 42073206525504's digits is 45
- More coming soon!
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MLA style:
"Number 42073206525504 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 42073206525504 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/42073206525504/
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Numbermatics. 2024. "Number 42073206525504 - Facts about the integer". https://numbermatics.com/n/42073206525504/
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