40064606646400

Names of 40064606646400

• Cardinal: 40064606646400 can be written as Forty trillion, sixty-four billion, six hundred six million, six hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.00646066464 × 10¹³

Factors of 40064606646400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 236

Divisors of 40064606646400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 59 64 70 80 98 100 112 118 128 140 160 163 175 196 200 224 236 245 280 295 320 326 350 392 400 413 448 472 490 560 590 640 652 700 784 800 815 826 896 944 980 1120 1141 1180 1225 1304 1400 1475 1568 1600 1630 1652 1888 1960 2065 2240 2282 2360 2450 2608 2800 2891 2950 3136 3200 3260 3304 3776 3920 4075 4130 4480 4564 4720 4900 5216 5600 5705 5782 5900 6272 6520 6608 7552 7840 7987 8150 8260 9128 9440 9617 9800 10325 10432 11200 11410 11564 11800 13040 13216 14455 15680 15974 16300 16520 18256 18880 19234 19600 20650 20864 22400 22820 23128 23600 26080 26432 26569 28525 28910 31360 31948 32600 33040 36512 37760 38468 39200 39935 41300 45640 46256 47200 48085 52160 52864 53138 57050 57820 63896 65200 66080 67319 72275 73024 76936 78400 79870 82600 91280 92512 94400 96170 104320 106276 114100 115640 127792 130400 132160 132845 134638 144550 146048 153872 156800 159740 165200 182560 185024 185983 188800 192340 199675 212552 228200 231280 240425 255584 260800 264320 265690 269276 289100 307744 319480 330400 336595 365120 370048 371966 384680 399350 425104 456400 462560 471233 480850 511168 521600 531380 538552 578200 615488 638960 660800 664225 673190 730240 743932 769360 798700 850208 912800 925120 929915 942466 961700 1022336 1062760 1077104 1156400 1230976 1277920 1301881 1321600 1328450 1346380 1487864 1538720 1567571 1597400 1682975 1700416 1825600 1850240 1859830 1884932 1923400 2125520 2154208 2312800 2356165 2555840 2603762 2656900 2692760 2975728 3077440 3135142 3194800 3365950 3400832 3651200 3719660 3769864 3846800 4251040 4308416 4330747 4625600 4649575 4712330 5111680 5207524 5313800 5385520 5951456 6154880 6270284 6389600 6509405 6731900 7439320 7539728 7693600 7837855 8502080 8616832 8661494 9251200 9299150 9424660 10415048 10627600 10771040 10972997 11780825 11902912 12540568 12779200 13018810 13463800 14878640 15079456 15387200 15675710 17004160 17322988 18598300 18849320 20830096 21255200 21542080 21653735 21945994 23561650 23805824 25081136 25558400 26037620 26927600 29757280 30158912 30315229 30774400 31351420 32547025 34645976 37196600 37698640 39189275 41660192 42510400 43084160 43307470 43891988 47123300 50162272 52075240 53855200 54864985 59514560 60317824 60630458 62702840 65094050 69291952 74393200 75397280 76810979 78378550 83320384 85020800 86614940 87783976 94246600 100324544 104150480 107710400 108268675 109729970 119029120 121260916 125405680 130188100 138583904 148786400 150794560 151576145 153621958 156757100 166640768 173229880 175567952 188493200 200649088 208300960 212206603 215420800 216537350 219459940 242521832 250811360 255514073 260376200 274324925 277167808 297572800 301589120 303152290 307243916 313514200 346459760 351135904 376986400 384054895 416601920 424413206 433074700 438919880 485043664 501622720 511028146 520752400 548649850 554335616 595145600 606304580 614487832 627028400 692919520 702271808 753972800 757880725 768109790 833203840 848826412 866149400 877839760 970087328 1003245440 1022056292 1041504800 1061033015 1097299700 1212609160 1228975664 1254056800 1277570365 1385839040 1404543616 1507945600 1515761450 1536219580 1697652824 1732298800 1755679520 1788598511 1920274475 1940174656 2044112584 2083009600 2122066030 2194599400 2425218320 2457951328 2508113600 2555140730 2771678080 3031522900 3072439160 3395305648 3464597600 3511359040 3577197022 3840548950 3880349312 4088225168 4166019200 4244132060 4389198800 4850436640 4915902656 5016227200 5110281460 5305165075 6063045800 6144878320 6387851825 6790611296 6929195200 7022718080 7154394044 7681097900 8176450336 8488264120 8778397600 8942992555 9700873280 9831805312 10220562920 10610330150 12126091600 12289756640 12520189577 12775703650 13581222592 13858390400 14308788088 15362195800 16352900672 16976528240 17556795200 17885985110 19401746560 20441125840 21220660300 24252183200 24579513280 25040379154 25551407300 27162445184 28617576176 30724391600 32705801344 33953056480 35113590400 35771970220 40882251680 42441320600 44714962775 48504366400 49159026560 50080758308 51102814600 57235152352 61448783200 62600947885 67906112960 71543940440 81764503360 84882641200 89429925550 97008732800 100161516616 102205629200 114470304704 122897566400 125201895770 135812225920 143087880880 163529006720 169765282400 178859851100 200323033232 204411258400 228940609408 245795132800 250403791540 286175761760 313004739425 339530564800 357719702200 400646066464 408822516800 500807583080 572351523520 626009478850 679061129600 715439404400 801292132928 817645033600 1001615166160 1144703047040 1252018957700 1430878808800 1602584265856 2003230332320 2504037915400 2861757617600 4006460664640 5008075830800 5723515235200 8012921329280 10016151661600 20032303323200 40064606646400
• Sum of all divisors σ(n): 117804907548000
• Sum of proper divisors (its aliquot sum) s(n): 77740300901600
• 40064606646400 is an abundant number, because the sum of its proper divisors (77740300901600) is greater than itself. Its abundance is 37675694255200

Bases of 40064606646400

• Binary: 1001000111000001000100101001011011000010000000₂
• Hexadecimal: 0x247044A5B080
• Base-36: E79FCCY9S

Squares and roots of 40064606646400

• 40064606646400 squared (40064606646400²) is 1605172705730759054632960000
• 40064606646400 cubed (40064606646400³) is 64310613054640440589164669928505344000000
• The square root of 40064606646400 is 6329660.8634586419
• The cube root of 40064606646400 is 34217.9216644879

Scales and comparisons

• 40,064,606,646,400 seconds is equal to 1,273,930 years, 29 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 40,064,606,646,400 would take you about three million, one hundred eighty-four thousand, eight hundred twenty-six 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 40064606646400 cubic inches would be around 2851.5 feet tall.

Recreational maths with 40064606646400

• 40064606646400 backwards is 00464660646004
• The number of decimal digits it has is: 14
• The sum of 40064606646400's digits is 46
• More coming soon!