42136049280640
42,136,049,280,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42136049280640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42136049280640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42136049280640:
27 × 5 × 7 × 372 × 412 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 37 × 37 × 41 × 41 × 61 × 67)See below for interesting mathematical facts about the number 42136049280640 from the Numbermatics database.
Names of 42136049280640
- Cardinal: 42136049280640 can be written as Forty-two trillion, one hundred thirty-six billion, forty-nine million, two hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.213604928064 × 1013
Factors of 42136049280640
Divisors of 42136049280640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 41 56 61 64 67 70 74 80 82 112 122 128 134 140 148 160 164 185 205 224 244 259 268 280 287 296 305 320 328 335 370 410 427 448 469 488 518 536 560 574 592 610 640 656 670 740 820 854 896 938 976 1036 1072 1120 1148 1184 1220 1295 1312 1340 1369 1435 1480 1517 1640 1681 1708 1876 1952 2072 2135 2144 2240 2257 2296 2345 2368 2440 2479 2501 2590 2624 2680 2738 2747 2870 2960 3034 3280 3362 3416 3752 3904 4087 4144 4270 4288 4480 4514 4592 4690 4736 4880 4958 5002 5180 5248 5360 5476 5494 5740 5920 6068 6560 6724 6832 6845 7504 7585 7808 8174 8288 8405 8540 8576 9028 9184 9380 9583 9760 9916 10004 10360 10619 10720 10952 10988 11285 11480 11767 11840 12136 12395 12505 13120 13448 13664 13690 13735 15008 15170 15799 16348 16576 16810 17080 17353 17507 18056 18368 18760 19166 19229 19520 19832 20008 20435 20720 21238 21440 21904 21976 22570 22960 23534 23680 24272 24790 25010 26240 26896 27328 27380 27470 28609 30016 30340 31598 32696 33152 33620 34160 34706 35014 36112 36736 37520 38332 38458 39040 39664 40016 40870 41440 42476 42880 43808 43952 45140 45920 47068 47915 48544 49580 50020 53095 53792 54656 54760 54940 56129 57218 58835 60032 60680 62197 63196 65392 67240 68320 69412 70028 72224 75040 76664 76916 78995 79328 80032 81740 82880 83509 84952 86765 87535 87616 87904 90280 91723 91840 92537 94136 95830 96145 97088 99160 100040 101639 102541 106190 107584 109520 109880 112258 112627 114436 117670 121360 124394 126392 130784 134480 136640 138824 140056 143045 144448 150080 151219 153328 153832 157990 158656 160064 163480 165760 167018 167567 169904 173530 175070 175232 175808 180560 183446 183680 185074 188272 191660 192290 194176 198320 200080 203278 205082 212380 215168 219040 219760 224516 225254 228872 235340 242720 248788 252784 261568 268960 273280 277648 280112 280645 286090 288896 300160 302438 306656 307664 310985 315980 317312 320128 326960 334036 335134 339808 347060 350140 351616 361120 366892 370148 376544 383320 384580 392903 396640 400160 406556 410164 417545 424760 435379 438080 439520 449032 450508 457744 458615 462685 470680 485440 497576 505568 508195 512705 523136 537920 555296 560224 561290 563135 572180 584563 604876 613312 615328 621970 631960 642061 647759 653920 668072 670268 679616 694120 700280 711473 717787 722240 733784 740296 753088 756095 766640 769160 785806 788389 793280 800320 813112 820328 835090 837835 849520 870758 876160 879040 898064 901016 915488 917230 925370 941360 970880 995152 1011136 1016390 1025410 1058533 1075840 1110592 1120448 1122580 1126270 1144360 1169126 1172969 1209752 1226624 1230656 1243940 1263920 1284122 1295518 1307840 1336144 1340536 1359232 1388240 1400560 1422946 1435574 1444480 1467568 1480592 1506176 1512190 1533280 1538320 1571612 1576778 1586560 1600640 1626224 1640656 1670180 1675670 1699040 1741516 1758080 1796128 1802032 1830976 1834460 1850740 1882720 1964515 1990304 2022272 2032780 2050820 2117066 2176895 2221184 2240896 2245160 2252540 2288720 2301289 2338252 2345938 2419504 2461312 2487880 2527840 2568244 2591036 2615680 2672288 2681072 2776480 2801120 2845892 2871148 2922815 2935136 2961184 3024380 3066560 3076640 3143224 3153556 3210305 3238795 3252448 3281312 3340360 3351340 3398080 3423869 3483032 3557365 3588935 3592256 3604064 3661952 3668920 3701480 3760643 3765440 3794017 3929030 3941945 3980608 4065560 4101640 4167199 4234132 4353790 4490320 4505080 4577440 4602578 4676504 4691876 4839008 4975760 5055680 5136488 5182072 5292665 5344576 5362144 5552960 5595103 5602240 5691784 5742296 5845630 5864845 5870272 5922368 6048760 6133120 6153280 6199979 6286448 6307112 6420610 6477590 6504896 6562624 6680720 6702680 6796160 6847738 6870247 6966064 7114730 7177870 7184512 7208128 7337840 7402960 7521286 7530880 7588034 7858060 7883890 7961216 8131120 8203280 8334398 8468264 8707580 8980640 9010160 9154880 9205156 9353008 9383752 9678016 9951520 10111360 10272976 10364144 10585330 10689152 10724288 11105920 11190206 11204480 11383568 11484592 11506445 11691260 11729690 11740544 11844736 12097520 12306560 12399958 12572896 12614224 12841220 12955180 13009792 13125248 13361440 13405360 13695476 13740494 13932128 14229460 14355740 14416256 14675680 14805920 15042572 15176068 15716120 15767780 16109023 16262240 16406560 16668796 16936528 17119345 17415160 17961280 18020320 18309760 18410312 18706016 18767504 18803215 18970085 19356032 19903040 20545952 20728288 20835995 21170660 21448576 22380412 22767136 22969184 23012890 23382520 23459380 23967083 24195040 24799916 25145792 25228448 25682440 25910360 26324501 26558119 26722880 26810720 27390952 27480988 27864256 27975515 28458920 28711480 29170393 29351360 29611840 30085144 30352136 30999895 31432240 31535560 32218046 32524480 32813120 33337592 33873056 34238690 34351235 34830320 35922560 36040640 36820624 37412032 37535008 37606430 37940170 39165721 39806080 41091904 41456576 41671990 42341320 43399853 44760824 45534272 45938368 46025780 46765040 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1016796556 1030977472 1052980040 1062324760 1079304541 1095638080 1099239520 1123029032 1146996115 1166815720 1203405760 1214085440 1233490904 1253303072 1270995695 1288721840 1333503680 1388795296 1403786290 1472824960 1533893312 1538935328 1541863630 1566628840 1605794561 1684768064 1699719616 1735994120 1779393973 1790432960 1835193784 1866905152 1917366640 1923669160 1965300806 1983993280 2033593112 2061954944 2105960080 2124649520 2158609082 2191276160 2198479040 2246058064 2293992230 2333631440 2406811520 2428170880 2466981808 2506606144 2541991390 2577443680 2667007360 2777590592 2807572580 3067786624 3077870656 3083727260 3133257680 3211589122 3369536128 3399439232 3471988240 3558787946 3580865920 3670387568 3733810304 3834733280 3847338320 3930601612 3967986560 4067186224 4211920160 4249299040 4317218164 4396958080 4492116128 4587984460 4667262880 4913252015 4933963616 5013212288 5083982780 5154887360 5396522705 5555181184 5615145160 6155741312 6167454520 6266515360 6423178244 6943976480 7117575892 7340775136 7669466560 7694676640 7861203224 8028972805 8134372448 8423840320 8498598080 8634436328 8896969865 8984232256 9175968920 9334525760 9405368143 9826504030 9867927232 10167965560 10309774720 10793045410 11230290320 12334909040 12533030720 12846356488 13887952960 14235151784 14681550272 15338933120 15389353280 15722406448 16057945610 16268744896 16847680640 16997196160 17268872656 17793939730 17968464512 18351937840 18669051520 18810736286 19653008060 19735854464 20335931120 21586090820 22460580640 24669818080 25066061440 25692712976 27775905920 28470303568 29363100544 30778706560 31444812896 32115891220 32537489792 34537745312 35587879460 36703875680 37621472572 39306016120 40671862240 43172181640 44921161280 47026840715 49339636160 51385425952 56940607136 62889625792 64231782440 65837577001 69075490624 71175758920 73407751360 75242945144 78612032240 81343724480 86344363280 89842322560 94053681430 98679272320 102770851904 113881214272 125779251584 128463564880 131675154002 138150981248 142351517840 146815502720 150485890288 157224064480 162687448960 172688726560 188107362860 205541703808 227762428544 256927129760 263350308004 284703035680 300971780576 314448128960 329187885005 345377453120 376214725720 513854259520 526700616008 569406071360 601943561152 628896257920 658375770010 690754906240 752429451440 1027708519040 1053401232016 1138812142720 1203887122304 1316751540020 1504858902880 2106802464032 2633503080040 3009717805760 4213604928064 5267006160080 6019435611520 8427209856128 10534012320160 21068024640320 42136049280640
- Sum of all divisors σ(n): 125101176762240
- Sum of proper divisors (its aliquot sum) s(n): 82965127481600
- 42136049280640 is an abundant number, because the sum of its proper divisors (82965127481600) is greater than itself. Its abundance is 40829078200960
Bases of 42136049280640
- Binary: 10011001010010100100000011111111100110100000002
- Hexadecimal: 0x2652903FE680
- Base-36: EXP17TK74
Squares and roots of 42136049280640
- 42136049280640 squared (421360492806402) is 1775446648980522661478809600
- 42136049280640 cubed (421360492806403) is 74810307496590450479575413484683526144000
-
The
square root of 42136049280640 is 6491228.6418396941 -
The
cube root of 42136049280640 is 34797.7586086237
Scales and comparisons
How big is 42136049280640?- 42,136,049,280,640 seconds is equal to 1,339,796 years, 1 week, 4 days, 13 hours, 30 minutes, 40 seconds.
-
To count from 1 to 42,136,049,280,640 would take you about three million, three hundred forty-nine thousand, four 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 42136049280640 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42136049280640
- 42136049280640 backwards is 04608294063124
- The number of decimal digits it has is: 14
- The sum of 42136049280640's digits is 49
- More coming soon!
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The information we have on file for 42136049280640 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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