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14414034102424 = 2311238778120363
BaseRepresentation
bin1101000111000000011101…
…1000011110100010011000
31220000222010211010121001121
43101300013120132202120
53342124420212234144
650353414342455024
73015244126223065
oct321600730364230
956028124117047
1014414034102424
114657a59528940
121749652a34474
13807311c814b8
1437b900463c6c
1519ee1e914384
hexd1c0761e898

14414034102424 has 64 divisors (see below), whose sum is σ = 30800215837440. Its totient is φ = 6259824658560.

The previous prime is 14414034102421. The next prime is 14414034102431. The reversal of 14414034102424 is 42420143041441.

It is a self number, because there is not a number n which added to its sum of digits gives 14414034102424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414034102421) 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 15 ways as a sum of consecutive naturals, for example, 2285134 + ... + 5835229.

It is an arithmetic number, because the mean of its divisors is an integer number (481253372460).

Almost surely, 214414034102424 is an apocalyptic number.

It is an amenable number.

14414034102424 is an abundant number, since it is smaller than the sum of its proper divisors (16386181735016).

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

14414034102424 is a wasteful number, since it uses less digits than its factorization.

14414034102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121280 (or 8121276 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 14414034102424 its reverse (42420143041441), we get a palindrome (56834177143865).

The spelling of 14414034102424 in words is "fourteen trillion, four hundred fourteen billion, thirty-four million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 877 1012 1754 2024 3508 7016 9647 19294 20171 38588 40342 77176 80684 161368 221881 443762 887524 1775048 8120363 16240726 32481452 64962904 89323993 178647986 186768349 357295972 373536698 714591944 747073396 1494146792 2054451839 4108903678 7121558351 8217807356 14243116702 16435614712 28486233404 56972466808 78337141861 156674283722 163795842073 313348567444 327591684146 626697134888 655183368292 1310366736584 1801754262803 3603508525606 7207017051212 14414034102424