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14055414310404 = 223219211239340697
BaseRepresentation
bin1100110010001000011111…
…1110100010011000000100
31211202200110222201120222100
43030202013332202120010
53320240442030413104
645520545044032100
72650320161253615
oct314420776423004
954680428646870
1014055414310404
11452995aa55235
1216b0049992630
137ac55c63462c
143683ddcabc0c
15195930c88139
hexcc887fa2604

14055414310404 has 144 divisors (see below), whose sum is σ = 37592781670080. Its totient is φ = 4415561579520.

The previous prime is 14055414310403. The next prime is 14055414310481. The reversal of 14055414310404 is 40401341455041.

14055414310404 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 541 + 4 + 3 + 104 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14055414310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345346984 + ... + 345387680.

It is an arithmetic number, because the mean of its divisors is an integer number (261060983820).

Almost surely, 214055414310404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14055414310404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796390835040).

14055414310404 is an abundant number, since it is smaller than the sum of its proper divisors (23537367359676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14055414310404 is a wasteful number, since it uses less digits than its factorization.

14055414310404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43330 (or 43325 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14055414310404 its reverse (40401341455041), we get a palindrome (54456755765445).

The spelling of 14055414310404 in words is "fourteen trillion, fifty-five billion, four hundred fourteen million, three hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 211 228 342 422 633 684 844 1266 1899 2393 2532 3798 4009 4786 7179 7596 8018 9572 12027 14358 16036 21537 24054 28716 36081 40697 43074 45467 48108 72162 81394 86148 90934 122091 136401 144324 162788 181868 244182 272802 366273 409203 488364 504923 545604 732546 773243 818406 1009846 1465092 1514769 1546486 1636812 2019692 2319729 3029538 3092972 4544307 4639458 6059076 6959187 8587067 9088614 9278916 9593537 13918374 17174134 18177228 19187074 25761201 27836748 28780611 34348268 38374148 51522402 57561222 77283603 86341833 97387921 103044804 115122444 154567206 163154273 172683666 194775842 292163763 309134412 326308546 345367332 389551684 489462819 584327526 652617092 876491289 978925638 1168655052 1468388457 1752982578 1850370499 1957851276 2936776914 3505965156 3700740998 5551111497 5873553828 7401481996 11102222994 16653334491 20548851331 22204445988 33306668982 41097702662 61646553993 66613337964 82195405324 123293107986 184939661979 246586215972 369879323958 390428175289 739758647916 780856350578 1171284525867 1561712701156 2342569051734 3513853577601 4685138103468 7027707155202 14055414310404