40348365096816

Names of 40348365096816

• Cardinal: 40348365096816 can be written as Forty trillion, three hundred forty-eight billion, three hundred sixty-five million, ninety-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.0348365096816 × 10¹³

Factors of 40348365096816

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 19814

Divisors of 40348365096816

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 41 42 48 49 56 63 72 74 82 84 98 111 112 123 126 144 147 148 164 168 193 196 222 246 252 259 287 294 296 328 333 336 369 386 392 441 444 492 504 518 574 579 588 592 656 666 738 772 777 784 861 882 888 984 1008 1036 1148 1158 1176 1332 1351 1476 1517 1544 1554 1722 1737 1764 1776 1813 1968 2009 2072 2296 2316 2331 2352 2583 2664 2702 2952 3034 3088 3108 3444 3474 3528 3626 4018 4053 4144 4551 4592 4632 4662 5166 5328 5404 5439 5904 6027 6068 6216 6888 6948 7056 7141 7252 7913 8036 8106 9102 9264 9324 9457 10332 10619 10808 10878 12054 12136 12159 12432 13653 13776 13896 14282 14504 15826 16072 16212 16317 18081 18204 18648 18914 19531 20664 21238 21423 21616 21756 23739 24108 24272 24318 27306 27792 28371 28564 29008 31652 31857 32144 32424 32634 36162 36408 37296 37828 39062 41328 42476 42846 43512 47478 48216 48636 49987 54612 55391 56742 57128 58593 63304 63714 64269 64848 65268 71217 72324 72816 74333 75656 78124 84952 85113 85692 87024 94956 95571 96432 97272 99974 109224 110782 113484 114256 117186 126608 127428 128538 130536 136717 142434 144648 148666 149961 151312 156248 166173 169904 170226 171384 175779 189912 191142 194544 199948 218448 221564 222999 226968 234372 254856 257076 261072 273434 284868 289296 292781 297332 299922 312496 332346 340452 342768 349909 351558 379824 382284 387737 399896 410151 443128 445998 449883 453936 468744 498519 509712 514152 546868 569736 585562 594664 599844 664692 668997 680904 699818 703116 722647 764568 775474 799792 800771 820302 878343 886256 891996 899766 937488 957019 997038 1028304 1049727 1093736 1139472 1163211 1171124 1189328 1199688 1230453 1329384 1337994 1361808 1399636 1406232 1445294 1529136 1550948 1601542 1640604 1756686 1783992 1799532 1914038 1994076 2049467 2099454 2167941 2187472 2326422 2342248 2399376 2402313 2460906 2635029 2658768 2675988 2799272 2812464 2871057 2890588 3101896 3149181 3203084 3281208 3489633 3513372 3567984 3599064 3769483 3828076 3988152 4098934 4198908 4335882 4652844 4684496 4804626 4921812 5058529 5270058 5351976 5598544 5605397 5742114 5781176 6148401 6203792 6298362 6406168 6503823 6562416 6979266 7026744 7198128 7206939 7538966 7656152 7976304 8197868 8397816 8613171 8671764 9305688 9609252 9843624 10117058 10540116 10703952 11210794 11308449 11484228 11562352 12296802 12596724 12812336 13007646 13958532 14053488 14346269 14413878 15077932 15175587 15312304 16395736 16795632 16816191 17226342 17343528 18445203 18611376 19218504 19687248 20234116 21080232 22421588 22616898 22968456 24593604 25193448 26015292 26386381 27917064 28692538 28827756 29628527 30155864 30351174 32791472 33632382 33925347 34452684 34687056 35409703 36890406 38437008 39237779 40468232 42160464 43038807 44843176 45233796 45526761 45936912 49187208 50386896 50448573 52030584 52772762 55834128 57385076 57655512 59257054 60311728 60702348 67264764 67850694 68905368 70819406 73780812 78475558 79159143 80936464 86077614 88885581 89686352 90467592 91053522 98374416 100897146 104061168 105545524 106229109 114770152 115311024 117713337 118514108 121404696 129116421 134529528 135701388 137810736 139470871 141638812 147561624 154548803 156951116 158318286 172155228 177771162 180935184 182107044 184704667 201794292 207399689 211091048 212458218 229540304 235426674 237028216 237477429 242809392 258232842 266656743 269059056 271402776 278941742 283277624 295123248 309097606 313902232 316636572 318687327 344310456 353140011 355542324 364214088 369409334 403588584 414799378 418412613 422182096 424916436 463646409 470853348 474056432 474954858 516465684 533313486 542805552 554114001 557883484 566555248 618195212 622199067 627804464 633273144 637374654 688620912 706280022 711084648 728428176 738818668 807177168 829598756 836825226 849832872 927292818 941706696 949909716 976296097 1032931368 1066626972 1081841621 1108228002 1115766968 1236390424 1244398134 1255237839 1266546288 1274749308 1390939227 1412560044 1422169296 1451797823 1477637336 1659197512 1662342003 1673650452 1699665744 1854585636 1866597201 1883413392 1899819432 1952592194 2065862736 2133253944 2163683242 2216456004 2231533936 2472780848 2488796268 2510475678 2549498616 2781878454 2825120088 2903595646 2928888291 2955274672 3245524863 3318395024 3324684006 3347300904 3709171272 3733194402 3799638864 3905184388 4266507888 4327366484 4355393469 4432912008 4977592536 5020951356 5098997232 5563756908 5650240176 5718305711 5807191292 5857776582 6491049726 6649368012 6694601808 6834072679 7418342544 7466388804 7572891347 7810368776 8654732968 8710786938 8786664873 8865824016 9736574589 9955185072 10041902712 11127513816 11436611422 11614382584 11715553164 12982099452 13066180407 13298736024 13668145358 14932777608 15145782694 15620737552 17154917133 17309465936 17421573876 17573329746 19473149178 20083805424 20502218037 22255027632 22718674041 22873222844 23228765168 23431106328 25964198904 26132360814 26597472048 27336290716 29865555216 30291565388 34309834266 34843147752 35146659492 38946298356 40028139977 41004436074 45437348082 45746445688 46862212656 51464751399 51928397808 52264721628 54672581432 60583130776 61506654111 68156022123 68619668532 69686295504 70293318984 77892596712 80056279954 82008872148 90874696164 91492891376 102929502798 104529443256 109345162864 120084419931 121166261552 123013308222 136312044246 137239337064 140586637968 155785193424 160112559908 164017744296 181749392328 205859005596 209058886512 240168839862 246026616444 272624088492 274478674128 280196979839 320225119816 328035488592 360253259793 363498784656 411718011192 480337679724 492053232888 545248176984 560393959678 640450239632 720506519586 823436022384 840590939517 960675359448 984106465776 1090496353968 1120787919356 1441013039172 1681181879034 1921350718896 2241575838712 2521772818551 2882026078344 3362363758068 4483151677424 5043545637102 5764052156688 6724727516136 10087091274204 13449455032272 20174182548408 40348365096816
• Sum of all divisors σ(n): 138918867560928
• Sum of proper divisors (its aliquot sum) s(n): 98570502464112
• 40348365096816 is an abundant number, because the sum of its proper divisors (98570502464112) is greater than itself. Its abundance is 58222137367296

Bases of 40348365096816

• Binary: 1001001011001001010101111110000000011101110000₂
• Hexadecimal: 0x24B255F80770
• Base-36: EAVS6TBW0

Squares and roots of 40348365096816

• 40348365096816 squared (40348365096816²) is 1627990565985959621053337856
• 40348365096816 cubed (40348365096816³) is 65686757730573618302018426954105397866496
• The square root of 40348365096816 is 6352036.2953005865
• The cube root of 40348365096816 is 34298.5147542907

Scales and comparisons

• 40,348,365,096,816 seconds is equal to 1,282,953 years, 10 weeks, 4 days, 9 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,348,365,096,816 would take you about three million, two hundred seven thousand, three hundred eighty-three 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 40348365096816 cubic inches would be around 2858.2 feet tall.

Recreational maths with 40348365096816

• 40348365096816 backwards is 61869056384304
• 40348365096816 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40348365096816's digits is 63
• More coming soon!