42004332986688
42,004,332,986,688 is an even composite number composed of seven prime numbers multiplied together.
42004332986688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 42004332986688:
26 × 33 × 17 × 59 × 181 × 257 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 59 × 181 × 257 × 521)See below for interesting mathematical facts about the number 42004332986688 from the Numbermatics database.
Names of 42004332986688
- Cardinal: 42004332986688 can be written as Forty-two trillion, four billion, three hundred thirty-two million, nine hundred eighty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.2004332986688 × 1013
Factors of 42004332986688
Divisors of 42004332986688
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 59 64 68 72 96 102 108 118 136 144 153 177 181 192 204 216 236 257 272 288 306 354 362 408 432 459 472 514 521 531 543 544 576 612 708 724 771 816 864 918 944 1003 1028 1042 1062 1086 1088 1224 1416 1448 1542 1563 1593 1629 1632 1728 1836 1888 2006 2056 2084 2124 2172 2313 2448 2832 2896 3009 3077 3084 3126 3186 3258 3264 3672 3776 4012 4112 4168 4248 4344 4369 4626 4689 4887 4896 5664 5792 6018 6154 6168 6252 6372 6516 6939 7344 8024 8224 8336 8496 8688 8738 8857 9027 9231 9252 9378 9774 9792 10679 11328 11584 12036 12308 12336 12504 12744 13032 13107 13878 14067 14688 15163 16048 16448 16672 16992 17376 17476 17714 18054 18462 18504 18756 19548 21358 24072 24616 24672 25008 25488 26064 26214 26571 27081 27693 27756 28134 29376 30326 30739 32037 32096 33344 33984 34752 34952 35428 36108 36924 37008 37512 39096 39321 42716 45489 46517 48144 49232 49344 50016 50976 52128 52428 53142 54162 55386 55512 56268 60652 61478 64074 64192 69904 70856 72216 73848 74016 75024 78192 78642 79713 83079 85432 90978 92217 93034 94301 96111 96288 98464 100032 101952 104256 104856 106284 108324 110772 111024 112536 117963 121304 122956 128148 133897 136467 139551 139808 141712 144432 147696 148032 150048 156384 157284 159426 166158 170864 181543 181956 184434 186068 188602 192222 192576 196928 209712 212568 216648 221544 222048 225072 235926 239139 242608 245912 256296 257771 267794 272934 276651 279102 279616 282903 283424 288333 288864 295392 300096 312768 314568 318852 332316 341728 363086 363912 368868 372136 377204 384444 401691 409401 418653 419424 425136 433296 443088 444096 450144 471852 478278 485216 491824 512592 515542 522563 535588 544629 545868 553302 558204 565806 566848 576666 577728 590784 629136 637704 664632 683456 726172 727824 737736 744272 754408 768888 773313 790789 803382 818802 829953 837306 838848 848709 850272 866592 886176 900288 943704 956556 970432 983648 1025184 1031084 1045126 1071176 1089258 1091736 1106604 1116408 1131612 1153332 1205073 1255959 1258272 1275408 1329264 1452344 1455648 1475472 1488544 1508816 1537776 1546626 1567689 1581578 1603117 1606764 1633887 1637604 1659906 1674612 1697418 1700544 1733184 1772352 1887408 1913112 1967296 2050368 2062168 2090252 2142352 2178516 2183472 2213208 2232816 2263224 2276249 2306664 2319939 2372367 2410146 2511918 2516544 2546127 2550816 2658528 2744503 2904688 2911296 2950944 2977088 3017632 3075552 3093252 3135378 3163156 3206234 3213528 3267774 3275208 3319812 3349224 3394836 3615219 3774816 3826224 4124336 4180504 4284704 4357032 4366944 4426416 4465632 4526448 4552498 4613328 4639878 4703067 4744734 4809351 4820292 4901661 5023836 5092254 5101632 5317056 5489006 5563759 5809376 5901888 6035264 6151104 6186504 6270756 6326312 6412468 6427056 6535548 6550416 6639624 6698448 6789672 6828747 6959817 7117101 7230438 7549632 7652448 7899923 8233509 8248672 8361008 8569408 8714064 8733888 8852832 8931264 9052896 9104996 9226656 9279756 9406134 9489468 9618702 9640584 9803322 10047672 10184508 10978012 11127518 11618752 12373008 12541512 12652624 12824936 12854112 13071096 13100832 13279248 13396896 13579344 13657494 13919634 14109201 14234202 14428053 14460876 15304896 15799846 16467018 16497344 16691277 16722016 17428128 17705664 18105792 18209992 18453312 18559512 18812268 18978936 19237404 19281168 19606644 20095344 20369016 20486241 21351303 21956024 22255036 23699769 24235357 24700527 24746016 25083024 25305248 25649872 25708224 26142192 26201664 26558496 26793792 27158688 27314988 27839268 28218402 28468404 28856106 28921752 31599692 32934036 33382554 33444032 34856256 36419984 37119024 37624536 37957872 38474808 38562336 39213288 40190688 40738032 40972482 42702606 43284159 43912048 44510072 46656551 47399538 48470714 49401054 49492032 50073831 50166048 50610496 51299744 52284384 53116992 54317376 54629976 55678536 56436804 56936808 57712212 57843504 61458723 63199384 65868072 66765108 71099307 72706071 72839968 74101581 74238048 75249072 75915744 76949616 77124672 78426576 80381376 81476064 81944964 85405212 86568318 87824096 89020144 93313102 94583903 94799076 96941428 98802108 100147662 100332096 102599488 104568768 109259952 111357072 112873608 113873616 115424424 115687008 122917446 126398768 131736144 133530216 134298691 139969653 142198614 145412142 145679936 148203162 148476096 150221493 150498144 151831488 153899232 156853152 162952128 163889928 170810424 173136636 175648192 178040288 186626204 189167806 189598152 193882856 197604216 200295324 213297921 218118213 218519904 222714144 225747216 227747232 230848848 231374016 245834892 252797536 263472288 267060432 268597382 279939306 283751709 284397228 290824284 296406324 300442986 300996288 307798464 313706304 327779856 341620848 346273272 356080576 373252408 378335612 379196304 387765712 395208432 400590648 402896073 412001069 419908959 426595842 436236426 437039808 445428288 451494432 455494464 461697696 491669784 505595072 526944576 534120864 537194764 559878612 567503418 568794456 581648568 592812648 600885972 654354639 655559712 683241696 692546544 746504816 756671224 758392608 775531424 790416864 801181296 805792146 824002138 839817918 851255127 853191684 872472852 902988864 923395392 983339568 1068241728 1074389528 1119757224 1135006836 1137588912 1163297136 1185625296 1201771944 1208688219 1236003207 1259726877 1308709278 1311119424 1366483392 1385093088 1429886063 1493009632 1513342448 1516785216 1551062848 1580833728 1602362592 1611584292 1648004276 1679635836 1702510254 1706383368 1744945704 1966679136 2148779056 2239514448 2270013672 2275177824 2326594272 2371250592 2403543888 2417376438 2472006414 2519453754 2553765381 2617418556 2770186176 2859772126 2986019264 3026684896 3204725184 3223168584 3296008552 3359271672 3405020508 3412766736 3489891408 3626064657 3708009621 3933358272 4289658189 4297558112 4479028896 4540027344 4550355648 4653188544 4742501184 4807087776 4834752876 4944012828 5038907508 5107530762 5234837112 5719544252 6053369792 6446337168 6592017104 6718543344 6810041016 6825533472 6979782816 7252129314 7416019242 8579316378 8595116224 8958057792 9080054688 9614175552 9669505752 9888025656 10077815016 10215061524 10469674224 11124028863 11439088504 12868974567 12892674336 13184034208 13437086688 13620082032 13651066944 13959565632 14504258628 14832038484 17158632756 18160109376 19339011504 19776051312 20155630032 20430123048 20939348448 22248057726 22878177008 24308063071 25737949134 25785348672 26368068416 26874173376 27240164064 29008517256 29664076968 34317265512 38606923701 38678023008 39552102624 40311260064 40860246096 41878696896 44496115452 45756354016 48616126142 51475898268 54480328128 58017034512 59328153936 68634531024 72924189213 77213847402 77356046016 79104205248 80622520128 81720492192 88992230904 91512708032 97232252284 102951796536 116034069024 118656307872 137269062048 145848378426 154427694804 163440984384 177984461808 194464504568 205903593072 218772567639 232068138048 237312615744 274538124096 291696756852 308855389608 355968923616 388929009136 411807186144 437545135278 583393513704 617710779216 656317702917 711937847232 777858018272 823614372288 875090270556 1166787027408 1235421558432 1312635405834 1555716036544 1750180541112 2333574054816 2470843116864 2625270811668 3500361082224 4667148109632 5250541623336 7000722164448 10501083246672 14001444328896 21002166493344 42004332986688
- Sum of all divisors σ(n): 134477325964800
- Sum of proper divisors (its aliquot sum) s(n): 92472992978112
- 42004332986688 is an abundant number, because the sum of its proper divisors (92472992978112) is greater than itself. Its abundance is 50468659991424
Bases of 42004332986688
- Binary: 10011000110011111001010101100011000001010000002
- Hexadecimal: 0x2633E558C140
- Base-36: EW0IVC9C0
Squares and roots of 42004332986688
- 42004332986688 squared (420043329866882) is 1764363989656565638385209344
- 42004332986688 cubed (420043329866883) is 74110932531255725280781713781903645212672
-
The
square root of 42004332986688 is 6481074.9869668997 -
The
cube root of 42004332986688 is 34761.4617710279
Scales and comparisons
How big is 42004332986688?- 42,004,332,986,688 seconds is equal to 1,335,607 years, 44 weeks, 5 days, 10 hours, 4 minutes, 48 seconds.
-
To count from 1 to 42,004,332,986,688 would take you about three million, three hundred thirty-nine thousand and nineteen 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 42004332986688 cubic inches would be around 2896.8 feet tall.
Recreational maths with 42004332986688
- 42004332986688 backwards is 88668923340024
- The number of decimal digits it has is: 14
- The sum of 42004332986688's digits is 63
- More coming soon!
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"Number 42004332986688 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42004332986688 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42004332986688/
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The information we have on file for 42004332986688 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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