40128401267136
40,128,401,267,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 40128401267136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
40128401267136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 40128401267136:
26 × 33 × 7 × 132 × 1723 × 11393
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 1723 × 11393)See below for interesting mathematical facts about the number 40128401267136 from the Numbermatics database.
Names of 40128401267136
- Cardinal: 40128401267136 can be written as Forty trillion, one hundred twenty-eight billion, four hundred one million, two hundred sixty-seven thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 4.0128401267136 × 1013
Factors of 40128401267136
Divisors of 40128401267136
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 144 156 168 169 182 189 192 208 216 224 234 252 273 288 312 336 338 351 364 378 416 432 448 468 504 507 546 576 624 672 676 702 728 756 819 832 864 936 1008 1014 1092 1183 1248 1344 1352 1404 1456 1512 1521 1638 1723 1728 1872 2016 2028 2184 2366 2457 2496 2704 2808 2912 3024 3042 3276 3446 3549 3744 4032 4056 4368 4563 4732 4914 5169 5408 5616 5824 6048 6084 6552 6892 7098 7488 8112 8736 9126 9464 9828 10338 10647 10816 11232 11393 12061 12096 12168 13104 13784 14196 15507 16224 17472 18252 18928 19656 20676 21294 22399 22464 22786 24122 24336 26208 27568 28392 31014 31941 32448 34179 36183 36504 37856 39312 41352 42588 44798 45572 46521 48244 48672 52416 55136 56784 62028 63882 67197 68358 72366 73008 75712 78624 79751 82704 85176 89596 91144 93042 96488 97344 102537 108549 110272 113568 124056 127764 134394 136716 144732 146016 148109 156793 157248 159502 165408 170352 179192 182288 186084 192976 201591 205074 217098 227136 239253 248112 255528 268788 273432 289464 291187 292032 296218 307611 313586 319004 325647 330816 340704 358384 364576 372168 385952 403182 410148 434196 444327 470379 478506 496224 511056 537576 546864 578928 582374 592436 604773 615222 627172 638008 651294 681408 716768 717759 729152 744336 771904 806364 820296 868392 873561 888654 940758 957012 992448 1022112 1036763 1075152 1093728 1157856 1164748 1184872 1209546 1230444 1254344 1276016 1302588 1332981 1411137 1433536 1435518 1488672 1612728 1640592 1736784 1747122 1777308 1881516 1914024 1925417 2038309 2044224 2073526 2150304 2153277 2187456 2315712 2329496 2369744 2419092 2460888 2508688 2552032 2605176 2620683 2665962 2822274 2871036 2977344 3110289 3225456 3281184 3473568 3494244 3554616 3763032 3828048 3850834 3998943 4076618 4147052 4233411 4300608 4306554 4658992 4739488 4838184 4921776 5017376 5104064 5210352 5241366 5331924 5644548 5742072 5776251 6114927 6220578 6450912 6562368 6947136 6988488 7109232 7526064 7656096 7701668 7862049 7997886 8153236 8294104 8466822 8613108 9317984 9330867 9478976 9676368 9843552 10034752 10420704 10482732 10663848 11289096 11484144 11552502 12229854 12441156 12901824 13477919 13976976 14218464 15052128 15312192 15403336 15724098 15995772 16306472 16588208 16933644 17226216 17328753 18344781 18635968 18661734 19352736 19630139 19687104 20841408 20965464 21327696 22578192 22968288 23105004 24459708 24882312 26955838 27953952 27992601 28436928 30104256 30806672 31448196 31991544 32612944 33176416 33867288 34452432 34657506 36689562 37323468 38705472 39260278 40433757 41930928 42655392 45156384 45936576 46210008 48919416 49764624 51986259 53911676 55034343 55907904 55985202 58890417 61613344 62896392 63983088 65225888 66352832 67734576 68904864 69315012 73379124 74646936 78520556 80867514 83861856 85310784 90312768 92420016 97838832 99529248 103972518 107823352 110068686 111970404 117780834 121301271 123226688 125792784 127966176 130451776 135469152 137410973 137809728 138630024 146758248 149293872 157041112 161735028 167723712 176671251 184840032 195677664 199058496 207945036 215646704 220137372 223940808 235561668 242602542 251585568 255191807 255932352 270938304 274821946 277260048 293516496 298587744 314082224 323470056 353342502 363903813 369680064 391355328 412232919 415890072 431293408 440274744 447881616 471123336 485205084 503171136 510383614 530013753 549643892 554520096 587032992 597175488 628164448 646940112 706685004 727807626 765575421 824465838 831780144 862586816 880549488 895763232 942246672 970410168 1020767228 1060027506 1099287784 1109040192 1174065984 1236698757 1256328896 1293880224 1413370008 1455615252 1531150842 1648931676 1663560288 1761098976 1786342649 1791526464 1884493344 1940820336 2041534456 2120055012 2198575568 2296726263 2473397514 2587760448 2826740016 2911230504 3062301684 3297863352 3317493491 3327120576 3522197952 3572685298 3710096271 3768986688 3881640672 4083068912 4240110024 4397151136 4593452526 4946795028 5359027947 5653480032 5822461008 6124603368 6595726704 6634986982 6890178789 7145370596 7420192542 7763281344 8166137824 8480220048 8794302272 9186905052 9893590056 9952480473 10718055894 11306960064 11644922016 12249206736 13191453408 13269973964 13780357578 14290741192 14840385084 16077083841 16332275648 16960440096 18373810104 19787180112 19904960946 21436111788 23222454437 23289844032 24498413472 26382906816 26539947928 27560715156 28581482384 29680770168 29857441419 32154167682 33920880192 36747620208 39574360224 39809921892 42872223576 46444908874 48231251523 48996826944 53079895856 55121430312 57162964768 59361540336 59714882838 64308335364 69667363311 73495240416 79148720448 79619843784 85744447152 89572324257 92889817748 96462503046 106159791712 110242860624 114325929536 118723080672 119429765676 128616670728 139334726622 146990480832 159239687568 171488894304 179144648514 185779635496 192925006092 209002089933 212319583424 220485721248 237446161344 238859531352 257233341456 278669453244 318479375136 342977788608 358289297028 371559270992 385850012184 418004179866 440971442496 477719062704 514466682912 557338906488 627006269799 636958750272 716578594056 743118541984 771700024368 836008359732 955438125408 1028933365824 1114677812976 1254012539598 1433157188112 1486237083968 1543400048736 1672016719464 1910876250816 2229355625952 2508025079196 2866314376224 3086800097472 3344033438928 4458711251904 5016050158392 5732628752448 6688066877856 10032100316784 13376133755712 20064200633568 40128401267136
- Sum of all divisors σ(n): 146089252062720
- Sum of proper divisors (its aliquot sum) s(n): 105960850795584
- 40128401267136 is an abundant number, because the sum of its proper divisors (105960850795584) is greater than itself. Its abundance is 65832449528448
Bases of 40128401267136
- Binary: 10010001111111000111110001101001011001110000002
- Hexadecimal: 0x247F1F1A59C0
- Base-36: E82QE12O0
Squares and roots of 40128401267136
- 40128401267136 squared (401284012671362) is 1610288588256282130433642496
- 40128401267136 cubed (401284012671363) is 64618306625438032411605693165650417811456
-
The
square root of 40128401267136 is 6334698.1985834179 -
The
cube root of 40128401267136 is 34236.0736937989
Scales and comparisons
How big is 40128401267136?- 40,128,401,267,136 seconds is equal to 1,275,959 years, 1 week, 5 days, 17 hours, 45 minutes, 36 seconds.
-
To count from 1 to 40,128,401,267,136 would take you about three million, one hundred eighty-nine thousand, eight hundred ninety-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 40128401267136 cubic inches would be around 2853 feet tall.
Recreational maths with 40128401267136
- 40128401267136 backwards is 63176210482104
- The number of decimal digits it has is: 14
- The sum of 40128401267136's digits is 45
- More coming soon!
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The information we have on file for 40128401267136 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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